Answer:
Step-by-step explanation:
Givens
Let the Length = L
Let the width = w
w = 2*L - 3
Area = L * w
Area = 193
Solution
Area = 193
193 = L*(2L - 3)
193 = 2L^2 - 3L Subtract 193 from both sides.
2L^2 - 3L - 193 = 0
You have to use the quadratic formula get the answer. Without going through all all that, I will tell you that the only value you can use for L is 10.6
L = 10.6
w = 2* 10.6 - 3 = 18.4
But you want the diagonal. Use the Pythagorean Theorem to get it.
Diagonal^2 = L^2 + w^2
Diangonal^2 = 10.6^2 + 18.4^2
Diagonal^2 = 450.92 Take the square root of both sides
√diagonal^2 = √450.92
Answer
The diagonal is 21,23
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A plumber earns $75 for a repair job, plus an additional $45 per hour he works. On Tuesday, he completed 2 repair jobs and earned a total of at least $465.
Part A: Write an inequality that can be used to determine h, the numbers of hours the plumber worked Tuesday.
Answer:
He worked 7 hours
Step-by-step explanation:
X= Number of jobs, H= Hours worked T= Total money made
firstly we have to arrange this into a formula, which will allow you to insert any a value of one variable and find the other variable
this equation is 75x + 45h = T
from this question we know that he worked 2 jobs and made a total of 456$
Adding these into the equation we get:
(75*2) + 45h = 465
solving to find h by isolating the variable, the final answer will be
h = 7
the mass of the combined coins is 75 grams. Each penny has
Stephanie adds pennies, nickels and quarters to a scale until
a mass of 2.5 grams, each nickel has a mass of 5 grams and each quarter has a mass of 5.7 grams.
Create an equation to model this situation, where x is the number of pennies, y is the number of nickels and z is the
that the mass of the combined coins is exactly 75 grams.
number of quarters that Stephanie can put on the scale so
The required equation is 2.5x + 5y + 5.7z = 75.
What is mass?Mass is measured in terms of weight of body. Gram, kilogram, and pounds are some of the standard mass units to measure.
Given that,
Pennies, nickels, and quarters are added to a scale by Stephanie until the combined weight of the coins is 75 grams.
Number of pennies = x
Each pennies has a mass = 2.5 grams
Mass of x pennies = 2.5x grams
Number of nickels = y
Each nickels has a mass = 5 grams
Mass of y nickels = 5y grams
Number of Quarters = z
Each Quarter has a mass = 5.7 grams
Mass of z Quarters = 5.7z grams
Total Mass = Mass of x Pennies + mass of y nickels + mass of z quarters
= 2.5x + 5y + 5.7z grams
Total Mass = 75 grams
Equation both is 2.5x + 5y + 5.7z = 75
The required equation is 2.5x + 5y + 5.7z = 75.
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Multiply. 6 1/4 x 3 3/5 = 18 3/20 18 17/20 22 1/2 22 1/20
On multiplying two fractional terms [tex]6\frac{1}{4}[/tex] X [tex]3 \frac{3}{5}[/tex] we get [tex]22\frac{1}{2}[/tex] as a result.
multiplication- it is an operation that represent the basic idea hope repeated addition of the same number.
It is used to simplify the task it is used when we need to combine groups of equal size.mixed fraction - it is represented with its quotient and remainder.
it contains a whole number and a proper fraction.To solve above equation firstly solve mixed fraction.
[tex]6\frac{1}{4}[/tex] = 25/4
[tex]3 \frac{3}{5}[/tex] = 18/5
then on multiplying them we get
[tex]6\frac{1}{4}[/tex] X [tex]3 \frac{3}{5}[/tex] = 25/4 X 18/5
= 45/2
=[tex]22\frac{1}{2}[/tex]
[tex]6\frac{1}{4}[/tex] X [tex]3 \frac{3}{5}[/tex] = [tex]22\frac{1}{2}[/tex]
On multiplying two fractional terms [tex]6\frac{1}{4}[/tex] X [tex]3 \frac{3}{5}[/tex] we get [tex]22\frac{1}{2}[/tex] as a result.
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A sled team consists of 11 dogs and the musher. Each dog weighs 70 pounds and the musher weighs 160 pounds. What is the average weight of the sled team members?
a
68.5 pounds
b
115 pounds
c
73.5 pounds
d
77.5 pounds
The average weight of the sled team members is 77.5
What is an average value?Average value can be calculated by finding the sum of a set of numbers then count the total number, then divide the sum with the number of the counted values.
To calculate the average weight of the sled team members, then we know that there are 11 dogs and the musher, which implies that there are total number of 12 animals.
Then we can find the total number of the dogs as (11*70) =770 dogs, then we can add to the musher which makes the total number of (770+160)=930
Then the average weight of the sled team members is [tex]\frac{930}{12} =77.5[/tex]
Therefore, option D is correct.
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Find the average rate of change of the function: f(x)=x²-3 between the values [3,5]
Answer: 4
hope it helps
Bailey starts playing a game on her cell phone with the battery fully charged and plays until the phone battery dies. While playing the game the charge in Bailey's battery decreases by half a percent per minute. Write a function for the percent change in the battery while Bailey is playing the gane
The linear function for the percent change in the battery while Bailey is playing the gane is:
B(t) = 100 - 0.5t, 0 ≤ t ≤ 200.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we have that:
The intercept is the initial battery, of 100.The slope is of -0.5, as the battery decays by 0.5% each minute.Hence the function is:
B(t) = 100 - 0.5t.
The battery will be of 0, when:
B(t) = 0.
100 - 0.5t = 0.
t = 100/0.5.
t = 200.
Hence the function is:
B(t) = 100 - 0.5t, 0 ≤ t ≤ 200.
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Given that m
Please help me with this!
Answer:
where is the probleM?
Step-by-step explanation:
C is the midpoint of AD. B is the midpoint of AC BC =4 what is the length of BD
Answer:
================= m
Step-by-step explanation:
uuhhhhhhvvvvbvvggggghgggghhgg
In this discussion, you will reflect on what you have learned about solving equations.
Discussion Prompt: Sarah and Kayla both solved the problem below. Who do you think solved it correctly? For the person who solved it incorrectly, what mistake do you think was made?
Sarah
5x - 15 - 3x = 10 - (-3x + 20)
2x - 15 = 10 + 3x - 20
2x - 3x - 15 = -10 + 3x - 3x
-1x - 15 = -10
-1x - 15 + 15 = -10 + 15
-1x = 5
x = -5
Kayla
5x - 15 - 3x = 10 - (-3x + 20)
2x - 15 = 10 + 3x - 20
2x + 3x - 15 = -10 + 3x + 3x
5x - 15 = -10
5x - 15 + 15 = -10 + 15
5x = 5
x = 1
Post a brief paragraph responding to the discussion prompt above. Your post should use concepts presented in this module/lesson. Your post must be completed before you can see posts from your classmates.
Discussion Responses
The person that solves the equation correctly is Sarah. It should be noted that the mistake that Kayla made is that she added 2x + 3x rather than subtracting it.
How to illustrate the information?It should be noted that an equation is simply used to illustrate the relationship between two variables.
In this case, the solution to the equation will be:
5x - 15 - 3x = 10 - (-3x + 20)
2x - 15 = 10 + 3x - 20
2x - 3x - 15 = -10 + 3x - 3x
-1x - 15 = -10
-1x - 15 + 15 = -10 + 15
-1x = 5
x = -5
Therefore, the person that solves the equation correctly is Sarah. It should be noted that the mistake that Kayla made is that she added 2x + 3x rather than subtracting it.
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Enlarge the triangle by scale factor 2.
Answer:
Answer in the picture attached
APPLYING THE STA
How might this standard appear on a test?
Use proportional relationships to complete each question.
1) Fill the table. Round to the nearest cent.
Original
Cost
$24
$120
$60
Discount
Percentage
20%
15%
45%
Sale
Price
Sales Tax
Percentage
8.5%
7%
896
Sales Tax
Amount
Total
Cost
Answer:
Step-by-step explanation:
a
Eva went to shop and bought 3 apples, 5 peaches, 8 bananas, 1 pineapple and 3 melons. what are the mean and median of her purchase?
If Eva went to a shop and bought 3 apples, 5 peaches, 8 bananas, 1 pineapple, and 3 melons, then the mean and median of her purchase are equal to 4 and 3 respectively.
Mean can be described as the most common value in a group of numbers. The mean of a certain set can be found by the ratio of the sum of the values to the number of values.
Mean = Sum total of the expressions/ Number of expressions
Sum of the values = 3 + 5 + 8 + 1 + 3 = 20
Number of values = 5
Mean = 20 / 5
Mean = 4
Median can be described as the central number in a series of numbers or a dataset.
If we arrange the given dataset in ascending order, that is from smallest to largest, then the median can be found as follows,
1 + 3 + 3 + 5 + 8
As the middle number is 3, therefore the median of the given data set is equal to 3.
Therefore, the mean and median of her purchase are calculated to be 4 and 3 respectively.
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3. (g + h) (×)
4. (g - h ) (×)
5. (f + h) (×)
please solve thankyou!!
Determine which answer in the solution set will make the equation true.
4p + 5 = 6p − 15
S: {−10, 0, 10, 20}
0
−10
20
10
The answer in the solution set that will make the equation true is 10
How to determine which answer in the solution set will make the equation true?The equation is given as
4p + 5 = 6p - 15
Collect the like terms in the above equation
So, we have
4p - 6p = -5 -15
Evaluate the like terms
So, we have
-2p = -20
Divide both sides by -2
So, we have
p = 10
Hence, the answer in the solution set that will make the equation true is 10
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A travel agency recorded the travel destinations of 60 South African tourists last month.
Of the 60 tourists, 30 visited Europe, 28 visited the UK, 9 visited America and 12
visited both Europe and the UK. Five tourists did not visit America, Europe or the UK.
(1) Draw a Venn diagram to represent this information.
(2)
(3)
Determine the probability that a tourist, selected at random, visited Europe only.
Determine the probability that a tourist, selected at random, visited America.
Determine the probability that a tourist, selected at random, visited both Europe
and the UK.
(4)
(5)
Determine:
(i) P((not E) or A)
(ii)
P((not A) and UK)
02 The probability that he will
Answer:
to create venn diagram
Step-by-step explanation:
To create an intersecting Venn diagram, draw three circles that overlap in the middle. You'll be able to show which attributes are unique to each circle, which overlap between two, and which are common characteristics of all three groups. Two circles overlapping is a classic venn diagram.
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The coordinates of the pre-image of point F' is (-2, 4)
How to determine the coordinates of the pre-image of point F'?On the given graph, the location of point F' is given as:
F' = (4, -2)
The rule of reflection is given as
Reflection across line y = x
Mathematically, this is represented as
(x, y) = (y, x)
So, we have
F = (-2, 4)
Hence, the coordinates of the pre-image of point F' is (-2, 4)
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1/6d + 2/3 = 1/4(d - 2)
Which of the following equations has nosolution? B= -B+ 2 B + 2= b + 2 B+ b = 2 b + 2 = b-2
the equation B= -B+2B+2 has no solution
given equation B= -B+2B+2=b+ 2B +b= 2b+2= b-2
taking B= -B+2B+2
B+B=2B+2
2B=2B+2
2=0 hence no solution
taking -B+2B+2=b+2B+b
-B = 2b-2
B= 2(1- b) is the solution of equation
taking b+2B+b=2b+2
2B=2
B=1 is the solution of given equation
taking 2b+2 = b-2
b= -4
thus the equation B= -B+2B+2 has no solution
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b =x/m(a-x)
Make x the subject of this equation.
Answer:
[tex]x= \dfrac{bma}{bm+1}[/tex]
Explanation:
Given expression:
[tex]\hookrightarrow b = \dfrac{x}{m(a-x)}[/tex]
shift the variables
[tex]\hookrightarrow b m(a-x)= x[/tex]
distribute inside parenthesis
[tex]\hookrightarrow bma-bmx= x[/tex]
collect terms with "x" in one side
[tex]\hookrightarrow -bmx-x= -bma[/tex]
divide both sides by -1
[tex]\hookrightarrow bmx+x= bma[/tex]
factor out common term "x"
[tex]\hookrightarrow x(bm+1)= bma[/tex]
shift the variables making "x" the subject
[tex]\hookrightarrow x= \dfrac{bma}{bm+1}[/tex]
Rectangle a measures 9 inches by 3 inches rectangle b is a scaled copy of rectangle a
Multiply 9 and 3 by the scale factor of rectangle B, and those should be your new corresponding dimensions for that rectangle.
1. The table shows the maximum weight a crane arm can lift at various
distances from its cab.
weight
distance from cab to weight
Construction-Crane Data
Distance from Cab
to Weight (ft)
Weight (lb)
12
24
36
48
cab
60
7,500 3,750 2,500 1,875 1,500
a. Describe the relationship between distance and weight
for the crane.
According to the given statements,
The relationship between Distance and weight is Inversely proportional.
What is term Inversely proportional?If one variable rises, the other will fall; conversely, if one variable falls, the other will rise. These are inversely proportional variables or quantities. In other words, they are said to be inversely proportionate when an increase in one quantity causes a reduction in the other and vice versa.
According to the given values,
Here, distances are given as - (ft) 12, 24, 36, 48, 60
and Weight (Lb) are given as
7500,3750, 2500, 1875, 1500
When distance is small, the weight is high.
Distance ∝ 1/Weight
So, The relationship between distance and Height will be inversely proportional.
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the Math question is on the image
Answer:
x = 40
Step-by-step explanation:
You want x when y = 16, given that x = 2 when y = 1/25 and x is proportional to the square root of y.
ProportionThe given relation between x and y is ...
x = k√y . . . . . . x is proportional to the root of y
ApplicationThe value of k is found from ...
k = x/√y = 2/√(1/25) = 10
Then for y = 16, we have ...
x = 10·√16 = 10·4
x = 40 . . . . . . . . when y = 16
<95141404393>
cuál es el valor total de 9?
Answer:
(0.98768834,0.15643446)
Step-by-step explanation:
yo creo
brainiest to correct answer
Which part of the technological design process involves learning from other scientists that have solved the problem before?
A. decide on a solution
B. refine the original solution design
C. test and evaluate a solution
D. research existing solutions
Answer:
C. test and evaluate a solution
What is the slope of the line that passes through the points (-7, -2) and
(-2,-22)? Write your answer in simplest form.
Answer:
-4
Step-by-step explanation:
Compute the slope of the line through the following points:
p_1 = (-7, -2) and p_2 = (-2, -22)
The slope of the line through (x_1, y_1) and (x_2, y_2) is:
(y_2 - y_1)/(x_2 - x_1)
Substitute (x_1, y_1) = (-7, -2) and (x_2, y_2) = (-2, -22):
= (-22 - -2)/(-2 - -7)
-(-7) = 7:
= (-22 - -2)/(-2 + 7)
-2 + 7 = 5:
= (-22 - -2)/5
-(-2) = 2:
= (-22 + 2)/5
-22 + 2 = -20:
= (-20)/5
The gcd of -20 and 5 is 5, so (-20)/5 = (5 (-4))/(5×1) = 5/5×-4 = -4:
Answer: = -4
a board game spinner is divided into three parts labeled $a$, $b$ and $c$. the probability of the spinner landing on $a$ is $\frac{1}{3}$ and the probability of the spinner landing on $b$ is $\frac{5}{12}$. what is the probability of the spinner landing on $c$? express your answer as a common fraction.
Probability of spinner landing on 'c' is 1/4;
Probability of spinner landing on 'a' = 1/3 = 4/12;
Probability of spinner landing on 'b' = 5/12;
Thus, Probability of spinner landing on 'c' = 1 - (5/12 + 4/12)
= 1 - 9/12
= 3/12
= 1/4;
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-2/3 a +5/6 a -1/6 
The solution is [tex]\frac{9a - 1}{6}[/tex]
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.
Find the lowest common denominator (LCD), convert each algebraic fraction to an equivalent fraction with the common denominator, and then combine each numerator to add or subtract algebraic fractions with distinct denominators. Reduce if you can.
Use the highest exponent of any common variable factor that has more than one exponent.
Add multiplied terms together to get a single fraction.
[tex]\frac{2a}{3} + \frac{5a}{6} + \frac{-1}{6}\\ \\ = 2(\frac {2a}{3}) + \frac{5a}{6} + \frac{-1}{6}\\\\\\\ = \frac{4a + 5a - 1}{6} \\ \\= \frac{9a - 1}{6}[/tex]
Therefore, the answer is (9a - 1) / 6
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What’s the morning time on the clock
whic is the correct form of the equation a+b+c=d when solved for a?
Answer:
a = d-b-c
Step-by-step explanation:
i think?
find the slope of the line in the picture
The slope of the line in the picture is 2.8
How to find the slope of the line in the picture?To calculate the slope of the line, we make use of two points on the line
The two points to use are
(0, 0) and (25, 70)
The slope of the line is then calculated as
Slope = (y2 - y1)/(x2 - x1)
So, we have
Slope = (70 -0)/(25 - 0)
Evaluate
Slope = 2.8
Note that the slope can also be regarded as the constant average rates of change or the gradient
Hence, the slope of the line in the picture is 2.8
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