Suppose the same amount of snow fell the following winter, but the same amount of snow fell each week. How much snow fell each week if there were the same number of weeks?
(Type a whole number, fraction, or mixed number.)
Answers
The amount of snow that fell each week was 2 units (assuming the units are consistent with the original scenario.
Describe Snowfall measurement?Snowfall measurement is the process of determining the amount of snow that falls at a particular location during a specific period of time. Accurate snowfall measurement is important for a variety of reasons, including transportation safety, weather forecasting, and water resource management.
If the same amount of snow fell the following winter, but the same amount of snow fell each week, and there were the same number of weeks, then we need to divide the total amount of snow by the number of weeks to find the amount of snow that fell each week.
Looking at the diagram, we can estimate the total amount of snow that fell by counting the number of asterisks (*) in the diagram. There are 8 asterisks, which represent the total amount of snow that fell over the winter.
Since there are 4 weeks (the same number of weeks as the original scenario), we can divide the total amount of snow by 4 to find the amount of snow that fell each week:
Total amount of snow = 8 asterisks
Amount of snow that fell each week = Total amount of snow / Number of weeks
= 8 / 4
= 2
Therefore, the amount of snow that fell each week was 2 units (assuming the units are consistent with the original scenario).
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Related Questions
A bookstore needs to sell at least 235 books. The number of books the store sells is described by 745-30b,where is the price per book.
Select the answer choice in each blank to make the statement true.
The range of the (profit per book)
Sold should be
(greater than $30 )
(between $0 and $17)
(greater than $17)
(between $17 and $30)
The parentheses are the choices for the answer.
Answers
The choice in the blank to make the statement true will be D. between $17 and $30)
How to explain the informationRevenue = Price per book × Number of books sold = (745 - 30P) b
Since the store needs to sell at least 235 books, we have:
Revenue ≥ 235 × Price per book = 235(745 - 30P)
Simplifying this inequality, we get:
745b - 30Pb ≥ 235 × 745
P ≤ (745/30) - (235/b)
Since we want to find the minimum profit per book sold, we need to maximize the value of (235/b). The maximum value of (235/b) occurs when b is minimized
If we assume that the cost per book is constant, then the profit per book sold will increase as the price per book increases. Therefore, we can say that the minimum profit per book sold that would enable the store to sell at least 235 books is greater than $17.
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A chef has three blocks of butter each block weighs 1 pound she cut each blocks into fifths how many 1/5 pounds pieces of butter does the chef have
Answers
Answer:
Chef will have 15 pieces of butter.
Step-by-step explanation:
Chef has 3 blocks of butter,
weight of each block = 1 pound
she cuts each block into fifth pieces,
3 / 1/5 = 15 pieces
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Help due in 30 mins
.
The cost of a Boston Red Sox baseball cap is $24.00. The local sporting goods store sells it for 30.00, Find the markup rate?
Answers
Answer:
25%
Step-by-step explanation:
$30-$24 =$6
$6×100
________ =25 percent
24
A polygon has vertices whose coordinates are A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1). Use the midpoint formula to determine whether or not the diagonals of polygon ABCD bisect each other. In your final answer, include all of your calculations.
Answers
Answer:
Step-by-step explanation:
midpoint of AC
[tex]x=\frac{1-1}{2} =0\\y=\frac{4-4}{2} =0\\mid ~point~of~AC=(0,0)[/tex]
midpoint of BD
[tex]x=\frac{4-4}{2} =0\\y=\frac{-1+1}{2} =0\\midpoint ~of~BD=(0,0)[/tex]
so diagonals bisect each other.
Please help geometry question Pythagorean theorem
Answers
Therefore , the solution of the given problem of triangle comes out to be L = 3(√(h²) + ((w/2²))) + 3h .
What is a triangle exactly?A triangular is a polygon because it has 2 different or more additional parts. It has a straightforward rectangle form. Only the sides A, B, and C can differentiate a triangle from a parallelogram. When the sides are not exactly collinear, Euclidean geometry results in a singular surface rather than a cube. If a shape has three edges and three angles, it is said to be triangular.
Here,
Given the height and breadth of the top of the frame, we can use the Pythagorean theorem to determine the length of each side of the triangle.
Let's assume the height is h feet and the width of the top of the frame is w feet. The triangle's side lengths can then be calculated as follows:
=> s =√((h²) + ((w/2)²))
We must add up the lengths of all the pipe segments that will be used to build the frame in order to determine the total quantity of steel pipe required.
The following formula can be used to determine how much steel tubing is required:
=> L = 3s + 3h
where h is the height of the frame and s is the length of each edge of the triangle.
Using the method instead of s, we obtain:
=> L = 3(√(h²) + ((w/2²))) + 3h
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the following data gives the amount in thousand spend s on feeding by fourty
household in ibadan in febuary 2023
32,22,19,18,43,42,40,43,18,21,31,26,22,25,47,40,26,32,34,22,35,38,34,41,36,25,22,45,48,26,28,38,35,19,47,28,26,35,38,35.
( a) construct a frequency distribution using class interver
(b) hence compute the (1) class mark for each class (2)class boundary for each class (3) cummulate frequency of the distribution (4) relative frequency of the classes (5) relative cummulative frequency.
Answers
The frequency distribution is calculated below
How to construct the frequency distributionThe dataset is given as
32,22,19,18,43,42,40,43,18,21,31,26,22,25,47,40,26,32,34,22,35,38,34,41,36,25,22,45,48,26,28,38,35,19,47,28,26,35,38,35.
To construct a frequency distribution using class intervals, we calculate the class width as follows:
Class width = Range / Number of intervals
So, we have
Class width = (48 - 18)/5 = 6
Now we can construct the frequency distribution table:
Class Interval Frequency
18 - 23 9
24 - 29 8
30 - 35 9
36 - 41 7
42 - 47 6
48 - 53 1
The class mark for each class can be calculated as:
Class mark = (Lower limit + Upper limit) / 2
For the class boundaries, we use the following formula
Lower boundary = Lower limit - 0.5
Upper boundary = Upper limit + 0.5
For the cumulative frequency of the distribution, we need to add up the frequencies of each class and all the preceding classes.
Lastly, for the relative frequency we divide each frequency by the total frequency (40)
Using the above as a guide, we have
Interval Frequency Boundaries Mark CF
18 - 23 9 17.5 - 23.5 20.5 9
24 - 29 8 23.5 - 29.5 26.5 17
30 - 35 9 29.5 - 35.5 32.5 26
36 - 41 7 35.5 - 41.5 38.5 33
42 - 47 6 41.5 - 47.5 44.5 39
48 - 53 1 47.5 - 53.5 50.5 40
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y= a(1+r)t
1. The sales of McDonald's for one year is $650,000. Their sales are increasing at a rate of
4% per year. What will be their sales after 5 years?
a=
r=
t =
2. The population of a school is 800 students and is increasing at a rate of 2% per year.
What will be their population after 6 years?
a=
r=
t =
3.There are 70 northern sea otters that are seeing a growth at a rate of 18%.What will their population be after 4 years?
a=
r=
t=
4. Annual sales for a furniture stores are $375,000 and are increasing at a rate of 6.75% each year.What will their sales me after 9 years?
a=
r=
t=
5. The population of Indiana showed an annual growth rate of 0.6%.Their population in 1999 was 273,000,000. What will their population be in 2007?
a=
r=
t=
Answers
1) If the sales of McDonald's for one year is $650,000 and increasing at 4% annually (exponential growth), their sales after 5 years will be $790,824.
2) If the population of a school is 800 students and is increasing at a rate of 2% per year (exponential growth), after 6 years, the population will be 901.
3) With 70 northern sea otters growing at a rate of 18% annually (exponential growth), after 4 years, the population will be 136.
4) If the annual sales for a furniture stores are $375,000 and increasing (exponential growth) at a rate of 6.75% each year, the sales after 9 years will be $675,060.
5) If the population of Indiana showed an annual growth rate of 0.6% (exponential growth) and their population in 1999 was 273,000, the population in 2007 will be 286,383.
What is exponential growth?Exponential growth refers to the consistent increase in quantity over time and at a constant growth rate.
Exponential growths are modeled using the exponential growth function y = a(1+r)^t.
1. McDonalds:
y= a(1+r)^t
Where a = $650,000
r = 0.04 (4%)
t = 5 years
Sales after 5 years, y= a(1+r)^t
= $650,000 (1.04)^5
= $650,000 × 1.2166529
= $790,824
2) School Population:
Current population = 800
Annual increasing rate = 2%
a = 800
r = 2%
t = 6 years
Population after 6 years, y= a(1+r)^t
= 800(1.02)^6
=901
3) Northern Sea Otters:
a = 70
r = 18% or 0.18
t = 4 years
Population after 6 years, y= a(1+r)^t
= 70(1.18)^4
= 136
4) Furniture Stores:
a = $375,000
r = 6.75% or 0.0675
t = 9 years
Sales after 9 years, y = a(1+r)^t
= 375,000(1.0675)^9
= $675,060
5) Indiana Population:
a = 273,000
r = 0.6% or 0.006
t = 8 years (2007 - 1999)
Population after 8 years, y = a(1+r)^t
= 273,000(1.006)^8
= 286,383
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On a grid, a middle school is located at (-5, 3), and a library is located at (2, 3). If 1 unit represents 1 mile on the grid, how far is the library from the middle school, in miles?
Answers
Answer: To find the distance between two points on a grid, we can use the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the coordinates of the middle school are (-5, 3), and the coordinates of the library are (2, 3). So we have:
distance = sqrt((2 - (-5))^2 + (3 - 3)^2)
distance = sqrt((2 + 5)^2 + 0^2)
distance = sqrt(7^2)
distance = 7
Therefore, the library is 7 miles away from the middle school.
Step-by-step explanation:
The data below shows the colors preferred by a group of people. We want to plot this on a pie chart. What will be the central angles of each of these categories?
Red=
blue=
green=
purple=
Answers
The central angles for each category are approximately: Red: 100°, Blue: 150°, Green: 50° and Purple: 60°
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To find the central angle of each category, we first need to calculate the total number of people:
Total = 20 + 30 + 10 + 12 = 72
Next, we can calculate the percentage of people who prefer each color:
Red: 20/72 = 0.278, or 27.8%
Blue: 30/72 = 0.417, or 41.7%
Green: 10/72 = 0.139, or 13.9%
Purple: 12/72 = 0.167, or 16.7%
To find the central angle for each category, we can multiply the percentage by 360°:
Red: 0.278 × 360° = 100.08°
Blue: 0.417 × 360° = 150.12°
Green: 0.139 × 360° = 50.04°
Purple: 0.167 × 360° = 60.48°
Therefore, the central angles for each category are approximately:
Red: 100°, Blue: 150°, Green: 50° and Purple: 60°
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Prove for any real number, |x−6|+x>3. Please use proof by cases, explaining each as you go.
Answers
The proof of |x−6|+x>3 is shown below.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
We have |x−6|+x>3.
Now, opening the absolute value
|x−6|+x>3
-(x- 6) + x >3
-x + 6 +x > 3
6 > 3
Thus, |x−6|+x>3 has been proved.
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Write the equation of a rational function that has been translated left 2 units and shifted up 1 unit.
Answers
The equation of a rational function that has been translated left 2 units and shifted up 1 unit is: f(x) = (a(x - 2) + b + 1) / (c(x - 2) + d)
What is a function?A relation is a function if it has only One y-value for each x-value.
A general form of a rational function is:
f(x) = (ax + b) / (cx + d)
To translate this function left 2 units, we need to replace x with x + 2. This gives us:
f(x + 2) = (a(x + 2) + b) / (c(x + 2) + d)
To shift this function up 1 unit, we need to add 1 to the numerator. This gives us:
f(x + 2) = (a(x + 2) + b + 1) / (c(x + 2) + d)
Therefore, the equation of a rational function that has been translated left 2 units and shifted up 1 unit is: f(x) = (a(x - 2) + b + 1) / (c(x - 2) + d)
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a broker invested 1,600 in a particular stock. the table shows the value og the stock and the number of weeks since the investment. wgich function best models the value of the stock v(n), in dollars, m weeks since the investment for the given period?
Answers
The exponential function that best models the value of the stock after n weeks is given as follows:
v(n) = 1600(1 + r)^n.
How to define the exponential function?The standard definition of an exponential function is given as follows:
y = a(b)^x.
In which:
a is the value of y when x = 0.b is the rate of change.The initial investment was of 1600, hence the parameter a is given as follows:
a = 1600.
The rate of change is obtained multiplying two consecutive values on the table, and will have the following format:
b = 1 + r.
In which r is the growth rate.
Missing InformationThe problem is incomplete, hence the general procedure to obtain the function is presented.
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F. Vincent and Mike collect cards. Vincent has 24 cards and Mike has collected m more cards than Vincer
Write an expression that represents the total number of cards Vincent and Mike have collected.
...
Answers
48 + m
which equation describes the line that passes through the points (1,3) and (-2,6)
y= -x+4
y= -2x+6
y= -2x+3
y= -x+3
Answers
hi
im pretty sure the answer is:
y= -x+4
Write an inequality that represents 12more than w is at least 45?
Answers
Answer:
The inequality that represents the given statement is:
12 + w ≥ 45
Step-by-step explanation:
Sam is collecting money for an animal shelter. He collects $150.00 each day for 6 days. The shelter will use 35% of the money he collects to buy pet food. The rest of the money will be used to buy cleaning supplies.
How much of the money that Sam collects will be used to buy cleaning supplies?
Answers
According to the solving Sam will spend $585.00 of the money he collects on cleaning materials.
What do the percentages mean?%, a relative figure signifying hundredths of any amount. Since one percent (symbolised as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. percentage. Mathematical percentile is a related topic.
According to the given information:Sam collects $150.00 each day for 6 days, so the total amount he collects is:
$150.00/day x 6 days = $900.00
The shelter will use 35% of the money he collects to buy pet food. To find out how much money will be used to buy pet food, we can multiply the total amount Sam collects by 35% (or 0.35):
$900.00 x 0.35 = $315.00
So, $315.00 of the money that Sam collects will be used to buy pet food. To find out how much money will be used to buy cleaning supplies, we can subtract the amount used to buy pet food from the total amount collected:
$900.00 - $315.00 = $585.00
$585.00 of the money that Sam collects will be used to buy cleaning supplies.
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If you can please help !! (the question is provided below)
Answers
Answer:
The distance between the student and the mirror is 7.5 feet.
Step-by-step explanation:
We can use similar triangles to solve this problem.
Let's call the distance between the student and the mirror "d". We can create a right triangle with the student's height as one leg, the distance "d" as the other leg, and the hypotenuse being the line from the student's eyes to the top of the school. Let's call the length of this line "h".
We can also create a second right triangle with the height of the school as one leg, the distance from the school to the mirror as the other leg, and the hypotenuse being the same line from the student's eyes to the top of the school.
Since these two triangles share an angle (the angle formed by the line from the student's eyes to the top of the school and the ground), they are similar triangles. This means that the ratios of their corresponding sides are equal.
We can set up the following proportion:
(student height) / d = (school height) / (distance from school to mirror)
Plugging in the given values, we get:
4.5 / d = 30 / 50
Simplifying, we get:
4.5 / d = 3 / 5
Cross-multiplying, we get:
3d = 22.5
Dividing by 3, we get:
d = 7.5
Therefore, the distance between the student and the mirror is 7.5 feet.
The distance of the student to the mirror, is 7.5 ft
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given that, a mirror is placed outside a school the distance from the school to the mirror is 50 ft and the height of the school is 30 ft we need to find the distance of the student to the mirror,
This arrangement is creating two similar triangles, here we will use the properties of the similar triangles, to find the distance of the student to the mirror,
Therefore,
30 / 4.5 = 50 / d
d = 50 x 4.5 / 30
d = 225 / 20
d = 7.5
Hence, the distance of the student to the mirror, is 7.5 ft
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Dividing integers. The temperature dropped 32° F in 4 hours. Suppose the temperature dropped by an equal amount each hour. What integer describes the change?
Answers
Answer:
To find the integer that describes the change in temperature, we can divide the total temperature drop by the number of hours:
32 ÷ 4 = 8
Therefore, the temperature dropped by 8 degrees Fahrenheit each hour. The integer that describes the change is -8, since the temperature decreased.
Answer: To find the integer that describes the change in temperature, we need to divide the total change in temperature (32° F) by the number of hours over which the temperature dropped (4 hours). This will give us the amount that the temperature dropped by each hour.
So, dividing 32 by 4, we get:
32 ÷ 4 = 8
Therefore, the temperature dropped by 8 degrees Fahrenheit each hour.
Step-by-step explanation:
Can someone help me with this? As detailed as possible?
Answers
F1 = 1167.35N and F2 = 1932.65N are the contact support forces on the beam
How to calculate the contact support forces on the beam?For the torques, let the axis be at support 2 and consider torques and the counterclockwise rotation is positive.
Let m = mass of athlete and M = mass of beam.
Thus, the equilibrium of torques will be:
Mg(1.96) - mg(0.54m) - F1(3.92) = 0
Substitute the values and solve for F1:
(250 * 10 * 1.96) - (60 * 10 * 0.54) - 3.92F1 = 0
3.92F1 = 4900 - 324
3.92F1 = 4576
F1 = 1167.35N
Note: The weight of the beam is acting at the center and the distance from center to axis at support 2 is 1.96m.
Balancing forces in the vertical direction, we have:
F1 + F2 - Mg − mg = 0
1167.35 + F2 - (250 * 10) − (60 * 10) = 0
1167.35 + F2 - 2500 - 600 = 0
F2 = 1932.65N
Note: upward forces (supports) are positive and downward forces are negative.
Thus, the contact support forces on the beam are F1 = 1167.35N and F2 = 1932.65N.
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2
A worker earned #80 per hour for a 38-hour week in a company. The company pays overtime at
a time and a half. In one week he earned #3640. Find the total numbers of hours he worked that
week.
3
Kasham travelled from Lagos to Akure, a distance of 350km. The first 210km she spent 3hours
and the remaining distance she spent 2hours 45minutes. (a) Calculate the speed for each part
of the journey. (b) Calculate the average speed for the whole journey in (i) km/h (ii) m/s to 1d.p
Answers
Answer:
2. Total Hours= 38+5 = 43
Step-by-step explanation:
2. Wage at Normal rate80 *38 = 3040
Extra Sum of Money then Normal wage 3640-3040 = 600
Overtime rate 80*1.5= 120
Overtime hours 600/120=5
3. (a) 210/3 = 70km/hr
140/(2.75*) = 50.91 km/hr
*2.75= 2+ (45/60)
Fill in the table, write an equation, find the LCD, and find the average rate.
Answers
The LCD we can use to simplify the equation is (2-r)(2+r) = 4 - r².
What is LCD?The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.
1. We can use the formula:
distance = rate × time
For the upstream journey:
distance = 4 miles
rate = 2 - r (since Dara is paddling against the current)
time = 4/(2-r) hours
For the downstream journey:
distance = 4 miles
rate = 2 + r (since Dara is paddling with the current)
time = 4/(2+r) hours
We can fill in the table as follows:
Distance (mi) Avg Speed (mph) Time (h)
With Current: 4 2+r (4)/(2+r)
Against Current: 4 2-r (4)/(2-r)
2. We know that the total time for the round trip is 6 hours:
4/(2-r) + 4/(2+r) = 6
3. Multiplying both sides by the LCD (2-r)(2+r), we get:
4(2+r) + 4(2-r) = 6(2-r)(2+r)
Simplifying, we get:
8 = 12 - 2r²
Rearranging, we get:
r² = 2
Taking the square root of both sides, we get:
r = ±√2
Since the current is flowing in one direction, we take the positive square root:
r = √2 ≈ 1.41 miles per hour
The LCD we can use to simplify the equation is (2-r)(2+r) = 4 - r².
4. To the nearest hundredth, the rate of the current is approximately 1.41 miles per hour, which is option B: About 1.15 miles per hour (rounded to two decimal places).
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Find the cube root of these expression
³√5׳√5׳√5=
Answers
We can simplify this expression by multiplying the cube roots together:
³√5 × ³√5 × ³√5 = ³√(5 × 5 × 5)
Simplifying the product inside the cube root, we get:
³√(125)
Therefore, the cube root of 5 × 5 × 5 is equal to:
³√5׳√5׳√5 = ³√125 = 5
-31.5 + 15x - 1.5x^2
Answers
The value of x for the given expression is x = 7 and x = 3.
What is a quadratic expression?A mathematical expression with the form ax² + bx + c, where a, b, and c are constants and x is a variable, is known as a quadratic expression. The graph of a quadratic expression can be represented by a U-shaped parabola. The y-intercept of the parabola is determined by the constant term c, whereas the coefficient a decides whether the parabola opens up or down.
The given expression is:
1.5x² - 15x + 31.5x = 0
The quadratic formula is given as:
x = -b ± √b² - 4ac / 2a
x = 15 ± √(15)² - 4(1.5)(31.5) / 2(1.5)
x = 15 ± 6 / 3
x = 15 + 6 / 3 and x = 15 - 6/3
x = 7 and x = 3
Hence, the value of x for the given expression is x = 7 and x = 3.
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The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's simple interest rate r.
P = $2300, A = $2762, t = 6 months
The loan's simple interest is
%.
Answers
The loan's simple interest rate when the loan of $2,300 is taken will be 40.17%.
What is simple interest?Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,
The formula for interest is written as,
I = (PRT)/100
The value of the principal is $2,300 and the amount generated in six months is $2,762. Then the percentage rate is calculated as,
($2,762 - $2,300) = [$2,300 x r x (6/12)] / 100
46,200 = 1,150r
r = 40.17%
The loan's simple interest rate when the loan of $2,300 is taken will be 40.17%.
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please help me with this
Answers
The linear function that models the scatter plot is given as follows:
y = 7/8x + 6.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.For the equation in this problem, we have that:
The slope is positive, as when x increases, y increases.The intercept is also positive, as the graph is composed only by positive values.Hence the option that satisfies the sign of the slope and the intercept is given as follows:
y = 7/8x + 6.
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If x= 1, solve for y.
y = 3.5x
y = [?]
Answers
3.5
you plug in 1 in the x spot then solve
3.5 (1)
which then equals 3.5
that means that's what Y equals
Triangle ABC is shown. Use the graph to answer the question. triangle ABC on a coordinate plane with vertices at negative 8 comma 1, 0 comma 1, negative 4 comma 5 Determine the coordinates of the image if triangle ABC is translated 8 units to the right. A′(−14, 1), B′(−8, 1), C′(−12, 5) A′(−6, 9), B′(0, 9), C′(−4, 13) A′(0, 1), B′(8, 1), C′(4, 5) A′(2, −7), B′(8, −7), C′(4, −3)
Answers
The cοοrdinates οf the image if triangle ABC is A′(0, 1), B′(8, 1), C′(4, 5).
What is Triangle?A triangle is a clοsed, twο-dimensiοnal geοmetric figure with three straight sides and three angles. It is οne οf the basic shapes in geοmetry.
A triangle is a pοlygοn with three edges and three vertices. It belοngs tο the basic geοmetric shapes. A triangle with vertices A, B, and C is knοwn as triangle ABC. Any three pοints in Euclidean geοmetry that are nοt cοllinear result in a distinct triangle and a distinct plane.
The cοοrdinates οf the image if triangle ABC is translated 8 units tο the right are:
A′(0, 1), B′(8, 1), C′(4, 5).
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Using the grouping method put this equation into factored form
Answers
In cricket, one over consists of 6 balls being bowled. Determine the number of overs bowled if 120 balls are bowled.
Answers
Therefore, 20 overs are bowled if 120 balls are bowled in cricket.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.
Here,
If 6 balls are bowled in one over, then the number of overs can be determined by dividing the total number of balls by 6.
So, if 120 balls are bowled, the number of overs is:
Number of overs = 120 balls ÷ 6 balls/over
= 20 overs
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The mean score on the Stats exam
was 75 points with a standard deviation of 5 points,
and Gregor's z-score was -2. How many points did he
score?
Answers
Gregor scored 65 points on the Stats exam.
How to determine the number of points he scoredWe can use the formula for calculating z-score:
z = (x - μ) / σ
Where
z is the z-score,x is the raw score, μ is the population meanσ is the population standard deviation.We are given that the population mean (μ) is 75 and the population standard deviation (σ) is 5.
We are also given that Gregor's z-score (z) is -2.
We can plug these values into the formula and solve for x:
-2 = (x - 75) / 5
Multiplying both sides by 5, we get:
-10 = x - 75
Adding 75 to both sides, we get:
x = 65
Hence, the score is 65 points
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