Answer:no it does not
Step-by-step explanation:
In order for it to round up it would have to be 82.5 or higher.
Answer:
No. To round up to 83 the number has to be 82.5 or higher.
write and solve an equation to find the difference between the location of point a and point b on the ruler.
Using distance formula, distance between two points is √61 unit
Let's us consider an example first -
What is the the distance between A and B
Let A = (3,2) and B (9,7)
Given A (3,2) and B( 9,7) are the two points on a plane
We have find to distance between A and B
Put the distance formula in two points as we know -
Distance= d√(x^2-x^1)^2 + (y^2-y^1) ^2
Here X1= 3
X2 =9
Y1=2
Y2=7
Thus putting all these value x and y formula
d= √(9-3)^2+(7-2)^2
d=√(6^2+5^2)
d=√(36+25)
d=√61 unit
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2 2/7:(0.6x)=4/21:0.25
Answer:
x = 5
Step-by-step explanation:
Given:
[tex]2 \frac{2}{7}:(0.6x)=\dfrac{4}{21}:0.25[/tex]
Convert the mixed number into an improper fraction by multiplying the whole number with the denominator of the fraction, adding it to the numerator of the fraction, and placing it all over the denominator of the fraction:
[tex]\implies 2\frac{2}{7}=\dfrac{2 \times 7+2}{7}=\dfrac{16}{7}[/tex]
Therefore:
[tex]\implies \dfrac{16}{7}:(0.6x)=\dfrac{4}{21}:0.25[/tex]
[tex]\implies \dfrac{\frac{16}{7}}{0.6x}=\dfrac{\frac{4}{21}}{0.25}[/tex]
Cross multiply:
[tex]\implies \dfrac{16}{7} \times 0.25 = \dfrac{4}{21} \times 0.6x[/tex]
[tex]\implies \dfrac{16\times 0.25}{7} = \dfrac{4\times 0.6x}{21}[/tex]
[tex]\implies \dfrac{4}{7} = \dfrac{2.4x}{21}[/tex]
Cross multiply again:
[tex]\implies 4 \times 21=2.4x \times 7[/tex]
[tex]\implies 84=16.8x[/tex]
Divide both sides by 16.8:
[tex]\implies \dfrac{84}{16.8}=\dfrac{16.8x}{16.8}[/tex]
[tex]\implies 5=x[/tex]
[tex]\implies x=5[/tex]
Answer:
The value of x is 5.
Step-by-step explanation:
Let's solve for the value of x,
→ 2 2/7 : (0.6x) = 4/21 : 0.25
→ 16/7 : (0.6x) = 4/21 : 0.25
→ (16/7) × 0.25 = (4/21) × 0.6x
→ 4/7 = (2.4x)/21
→ 2.4x × 7 = 4 × 21
→ 16.8x = 84
→ x = 84/16.8
→ [ x = 5 ]
Hence, the value of x is 5.
in a famous experiment carried out in 1882, michelson and newcomb obtained 66 observations on the time it took for light to travel between two locations in washington, d.c. a few of the measurements (coded in a certain manner) were 31, 23, 32, 36, −2, 26, 27, and 31. (a) why are these measurements not identical? (select all that apply.)
These measurements are not identical due to confounding;
When the effects of two or more explanatory variables on a response variable cannot be distinguished from one another, confounding occurs in an experiment.
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Hector surveyed 20 students in his school and asked them whether they favor or oppose a new school dress code. He found that 5 students are in favor of a new school dress code. Based on these results, Hector wants to determine how many of the 200 students in the school would favor a new dress code.
50 students of the 200 students in the school would favor a new dress code.
We will use simple cross multiplication here
For first case
no. of students surveyed = 20
no. of student agreed for a new dress code = 5
This gives us 5/20
For second case
no. of students surveyed = 200
no. of student agreed for a new dress code = x
This gives us x/200
Lets us cross multiply
5/20 = x/200
20x = 200×5
x = (200×5)/20
x = 50
What is cross multiplication?Given an equation between two fractions or rational expressions in mathematics, particularly in primary arithmetic and elementary algebra, one might cross-multiply the equation to make it simpler or get the value of a variable.
The technique can be used to remember which things to multiply together by drawing lines that resemble the outline of a heart. It is also sometimes called as "cross your heart" technique.
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Anna is the middle of three siblings whose ages are consecutive integers. If the sum of their ages is 8181, find Anna's age.
Answer:
27
Step-by-step explanation:
Say the youngest sibling is a. Anna would be a+1, and the oldest would be a+2. If the sum of all of them are 81, then 3a+3 = 81. minus three on both sides, and you get 78. So 3a = 78/3 = 26. if the youngest is 26, then Anna will be a + 1 so 27.
The age of Anna where she is the middle of three siblings is 27 years.
Given data:
Let's represent Anna's age as "x." Since Anna is the middle sibling, the ages of her siblings would be x - 1 and x + 1, since they are consecutive integers.
According to the information given, the sum of their ages is 8181:
x + (x - 1) + (x + 1) = 81
Now, combine like terms:
3x = 81
Divide both sides by 3:
On simplifying the equation:
x = 81/3
x = 27
Hence, Anna's age is 27 years.
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The complete question is attached below:
Anna is the middle of three siblings whose ages are consecutive integers. If the sum of their ages is 81, find Anna's age.
Which are the first five terms of a geometric sequence in which the second term is 6 and the fourth
term is 54?
3, 6, 27, 54, 108
3, 6, 54, 486, 4,374
-18, 6, 30, 54, 78
2, 6, 18, 54, 162
The first five terms of a geometric sequence in which the second term is 6 and fourth term is 54 are 2, 6, 18, 54, 162. Thus, the correct option is option D.
A Geometric progression may be defined as a series of terms in which the ratio between each succeeding term and the preceding term of the series is constant.
It is given that the second term of the series is 6 and the fourth term is 54.
The first five terms of geometric sequence are given by a, ar, ar², ar³ and ar⁴.
Thus, ar = 6 ......(1)
ar³ = 54 ......(2)
Divide equation (2) by (1)
ar³/ar = 54/6
r² = 9
=> r = 3
Putting value of r in equation (1)
ar = 6
=> a×3 = 6
=>a = 2
Now, substituting the values of a and r the terms of Geometric progression are given by:
a = 2, ar = 6, ar² = 18, ar³ = 54 and ar⁴ = 162.
Thus, the first five terms of Geometric sequence are given by 2, 6, 18, 54, 162.
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Solve for the value of e.
(8e-6)°
(7e+6)°
Answer:
e = 12======================
The two given angles form a linear pair.
Sum of the two angles is 180°, set equation and solve for e:
8e - 6 + 7e + 6 = 18015e = 180e = 180/15e = 12your current wardrobe consists of eleven different items: three pairs of shoes, two pairs of pants, and six different shirts. your mom offered to buy you a new shirt or a new pair of shoes. which item (shoes or shirt) should your mom buy for you to maximize your total number of outfits (shoesshirt-pant)?
A pair of shoes gives us 48 different outfits.
What is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram MathWorld: linearWe will employ the basic counting principle, which states that if one task can be completed in method A and another in way B, then both tasks may be completed in way A*B.
If mom buys 1 shirt, then total shirts(A) = 6+1 =7, total pants(B) = 2 and total shoes (C) = 3
By basic counting principle, number of outfits = A*B*C = 7*2*3 = 42 outfits possible
and
If mom buys 1 pair of shoes, then total shirts(A) = 6, total pants(B) = 2 and total shoes (C) = 3+1 = 4
By basic counting principle, number of outfits = A*B*C = 6*2*4 = 48 outfits possible
hence, buying a pair of shoes gives us 48 different outfits.
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8. A doctor allows 15 minutes for routine office visits and 45 minutes for full physicals. The doctor cannot do
more than 10 physicals per day. She schedules at least 8 routine visits per day but not more than 12 routine
visits. The doctor has 9 available hours for appointments each day. A routine visit costs $60 and a full physical
costs $70. How many routine office visits and full physicals should the doctor schedule to maximize her
income for the day? What is the maximum income?
The maximum income the doctor can get in a day is $1280
Time required for routine office visits = 15 minutes
Time required for physical visits = 45 minutes
Maximum physical visits possible in a day = 10
Maximum routine visits possible in a day = 12
Available hours for appointment = 9 hours or 540 minutes
Cost of routine appointment = $60
Cost of physical appointment = $70
In order to maximize income, she should do maximum possible routine visits as it gives more return in less time and the remaining time can be used to do physical visits, therefore:
No. of routine visits the doctor should do = 12
Time consumed in 12 visits = 12*15 = 180 minutes
Time remaining = 360 minutes
No. of physical visits she should do = 8
Time consumed in 8 physical visits = 8*45 = 360 minutes
Total income the doctor will generate in a day = 12*60 + 8*70
= 720 + 560 = $1280
Hence, the maximum income of the doctor will be $1280
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What is the fractional equivalent of 34%?
A) 17/200
B) 35/10
C) 17/50
D) 35/1
−2(−x−3)−4x−1= 13 solve for x
2x+6-4x-1=13
2x+5=13
2x=8
x=4
SUPER URGENT AND WILL GIVE BRAINLIEST
y=[?] 115
Answer:
y = 25°===================
From the right triangle we get the sum:
x + y = 90From the exterior angle theorem we get the sum:
x + 2y = 115Subtract the first equation from the second to get:
x + 2y - x - y = 115 - 90y = 25Answer:
y = 25
Step-by-step explanation:
Solution 1:
The line X is on, is a supplementary angle.
180-115 is 65
There are two Xs
A triangle adds up to 180
180- 65- 65= 50
50/2= 25
Solution 2:
The line X is on is a supplementary angle.
180-115 is 65
180- 65 - 90 (right angle)= 25
Solve for B b + 13 = 18
Answer:
b=5
Step-by-step explanation:
Here,
b + 13 = 18
or, b = 18 - 13
or, b = 5
Hence, b=5
Answer:
B = 5/b, b 0
Step-by-step explanation:
Bb+13=18
Subtract 13 from both sides.
Bb=18−13
Subtract 13 from 18 to get 5.
Bb=5
The equation is in standard form.
bB=5
Divide both sides by b.
b
bB
=
b
5
Dividing by b undoes the multiplication by b.
B=
b
5
What is the equation of the line that is parallel to the line y =
Oy=-x+3
O y=-x+7
Oy= 3x - 13
Oy= 3x +5
-x+4 and passes through the point (6, 5)?
Answer:
Step-by-step explanation:
x=4 is a vertical line.
horizontal line through (-6,5): y=5
y=6 is a horizontal line.
vertical line through (-6,5): x=-6
The equation of line parallel to y = -( 1/3 )x + 4 and passing through the point P ( 6 , 5 ) is y = -( 1/3 )x + 7
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = -( 1/3 )x + 4
Let the first point be P ( 6 , 5 )
Slope m = -1/3
The parallel lines have the same slope , so the point-slope form of the equation of a line to find the equation of the line passing through P(6,5) with slope -1/3 is
y - 5 = ( -1/3 ) ( x - 6 )
Adding 5 on both sides , we get
y = ( -1/3 )x + 2 + 5
y = -( 1/3 )x + 7
Hence , the equation of line is y = -( 1/3 )x + 7
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The complete question is attached below :
What is the equation of the line that is parallel to the line y = -1/3x + 4 and passes through the point (6, 5)?
A) y = -1/3x + 3
B) y= -1/3x + 7
C) y= 3x - 13
D) y= 3x + 5
In a class of 20 students, 5 are left handed. What percentage of students are right handed?
Answer: 75%
Step-by-step explanation:
20-5=15 right handed students
[tex]\displaystyle\\\frac{15}{20}*100\% =\\\\\frac{15*20*5}{20} \%=\\\\15*5\%=\\\\75\%\ -\ percentage\ of\ students\ are\ right\ handed[/tex]
The length of a rectangle is 3ft longer than its width. If the perimeter of the rectangle is 66ft , find its length and width.
Josh wanted to buy a new shirt for a school dance. At the store, he couldn't decide between a purple plaid shirt and a scarlet striped shirt. Since the shirts were on sale for $19.95 each, Josh decided to buy them both. He saved a total of $9.10. If he saved the same amount on each shirt, what was the original price of each one?
Answer:
$29.05
Step-by-step explanation:
First, you have to multiply $19.95 by 2 since he bought 2 shirts that were the same price. 19.95 times 2 is a total of $39.90. It says that he saved $9.10 on both shirts so, in order to see the original price of the shirts, you would have to multiply $9.10 times 2 which is $18.20. Now you need to add 39.90 to 18.20 which is $58.10. You just need to divide that by 2 which will give you $29.05. Each shirt's orignial price was $29.05
Hope that helps you out :D
at $2\!:\!48$ what is the degree measure of the smaller angle formed by the hour and minute hands of a $12$-hour clock?
Angle between hour and minute hand= 204°
a figure which is formed by two rays or lines that shares a common endpoint is known as Angle.
The hour hand has covered 2 h and 48 min from position 12 o'clock (reference position). And in case of minute hand 22 min from reference. Required angle is angle covered by minute hand minus the angle covered by hour hand (clearly minute hand has covered greater angle in comparison with hour hand).
For calculating angle covered by minute hand:
In 60 min the min hand covers 360°
60 min = 360°
1 min = 6° ; 48 min = 288°
For calculating angle covered by hour hand:
12 h ( of hour hand) = 360°
1 h = 30°
For [2 + (48/60)] h, the angle covered= [2 + (48/60)]*30° = 84°
Angle between hour and minute hand = (288–84)° = 204°
It is the acute angle between hour and minute hand. For finding reflex angle subtract the obtained acute angle from 360°. So the reflex angle will be 299°.
Angle between hour and minute hand= 204°
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pls helpppp thank uuuuu
1, 3, and 5 are true
The price of one share of ABC Company declined (less) a total of $39.48 in 5 days. What was the average (division) change of the price of one share per one day?
The average (division) change of the price of one share per one day is $7.896
What was the average (division) change of the price of one share per one day?The given parameters are
Total = $39.48
Number of days = 5 days
The average (division) change of the price of one share per one day is calculated as
Average = Total/Number of days
So, we have
Average = $39.48/5
Evaluate the quotient
Average = $7.896
Hence, the average (division) change of the price of one share per one day is $7.896
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2 and 8 supplementary or congruent
Answer: where's the pic?
Find the area of ABC with vertices A(4, -3) B(9,-3) , and C(10, −11)
The area of triangle ABC with vertices is 22 square units
How to find the area of ABC with vertices?The vertices are given as:
A(4, -3) B(9,-3) , and C(10, −11)
The area of the triangle is calculated using
Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|
This gives
Area = 0.5 * |4 * (-3 + 11) + 9 * (-3 + 11) + 10 * (-3 - 3)|
Evaluate the sum of products
Area = 0.5 * |44|
Remove the absolute bracket
Area = 0.5 * 44
Evaluate
Area = 22
Hence, the area of ABC with vertices is 22 square units
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The 100 m world record was completed at an average speed of 37.6 km/h. Work out this speed in metres per second (m/s). Give your answer correct to one decimal place (1 d.p).
The average speed in meters per second is 10.4 m/s.
What is the average speed in meters per second?
Average speed is the total distance travelled per time. Average speed can be determined by dividing total distance by
Average speed = total distance / total time
The first step is to convert kilometer to meter: 1000 meter = 1 kilometer
The second step is to convert hours to seconds:
1 hour = 60 minutes
1 minute = 60 seconds
1 hour = 60 x 60 seconds
1 hour = 3,600 seconds
Multiply the average speed by 1000 meters and divide by 3,600 seconds.
37.6 x (1,000 / 3,600) = 10.44 m / s
10.4 m/s (1 d.p)
In order to round off to one decimal place, if the hundredth figure is less than 5, there is no change in the tenth digit. Digits that are less than the tenth digit are removed.
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Please Help me it is a major grade due today
Answer:
3x² + x
Step-by-step explanation:
collect the like terms first:
2x² + x² - 4x + 5x + 1 - 1
3x² + x
Answer:
the last answer. 3x to the second power + x
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-8
4-3-2
12
2H298NON-
10
-10
1 2 3 4 5 6 7 8 9 10 11 12 1
Answer:
y = -4x -4
Step-by-step explanation:
we need to get two points to calculate the gradient
points chosen are (-2,3) and (-3,7)
Gradient = change in y coordinates/ change in X coordinates
G = (7-3)/(-3- -2)
= 4/-1
= -4
to write the equation in slope -intercept form we need one known point (-2,3) and one unknown point (X,y) and the gradient.
G = ∆y/∆x
-4 = (y - 3)/ (X - -2)
-4 = (y-3)/ (X+2)
we now cross multiply
-4(X + 2) = y - 3
-4x -8 = y-3
-4x -8+4 = y
y = -4x -4
Find an equation for the line that passes through the points (4, - 4) and (-6, 2).
Answer:
y = -0.6x - 1.6.
mr. lopez is spreading pebbles around a water garden. he spreads 2 cubic yards of pebbles in 3 4 hour. at this rate, how many cubic yards of pebbles can he spread in one hour? cubic yards in one hour answer
Mr. Lopez spread the stones at a pace of 0.059 cubic yards per hour.
What is rate of change?
A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio indicates the rate of change in the other (dependent) variable if the denominator of the ratio is written as a single unit of one of these quantities, and if it is assumed that this quantity may be modified systematically (i.e., is an independent variable).
"Per unit of time" is a frequent sort of rate, and examples include speed, heart rate, and flux. Exchange rates, literacy rates, and electric field ratios are examples of ratios with a non-time denominator (in volts per meter).
The word "per" is used to denote the division of the units of the two measurements that make up a rate when discussing its units (for example a heart rate is expressed "beats per minute"). A rate that is defined using two numbers of the same units will provide a dimensionless quantity that can be stated as a percentage (for instance, the global literacy rate in 1998 was 80%), fraction, or multiple. Examples of these rates include tax rates and literacy rates.
2/34 = 0.0588 equals to 0.059 ( approximately).
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What’s a word problem that you can model by the quotient of 2 1/2 divided by 3/4
The quotient is 10/3 .
Sharing something equally is one way to view division.
Whatever we all equally share in this problem must be a part, not a whole. What are some examples of things we typically consider to be parts? We do, however, discuss food in casually.
3/4 of a pan of brownies or 2 1/2slices of pizza could be included. Additionally, we weigh some goods in division of a pound, notably bulk foods and sweets.
There are some materials that we purchase in division of a whole, such as lengths of fabric, rope, or ribbon that are sold in units of a yard. Any of those objects could be divided into equal portions as part of your word puzzle. Here are two illustrations:
At the supermarket, Dayana and her 3/4 friends purchased a candy bag weighing 2 1/2 lb. How much candy will each individual receive if they decide to divide it equally?
(2 1/2)/(3/4)= (5/2)/(3/4)= (5[tex]\times[/tex]4)/(3[tex]\times[/tex]2)=20/6=10/3
The quotient is 10/3 .
This means that after Dayana cuts each piece of board, its length will be 10/3 yards.
Therefore, the quotient is 10/3.
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[tex]y=x(\frac{ab}{a-b})[/tex]
SOLVE FOR A
(Right answer gets Brainliest and 30 points!)
Solving the given equation y = x(ab/a - b) for a, we have: a = by/(y - bx).
How to Solve an Equation?To solve an equation for a given variable is to make the variable the subject of the formula. To do this, isolate the variable to one side of the equation using appropriate properties of equality.
Given the equation,
y = x(ab/a - b)
Multiply both sides by 1/x
y/x = ab/(a - b)
Multiply both sides by (a - b)
y/x × (a - b) = ab/(a - b) × (a - b)
y(a - b)/x = ab
(ay - by)/x = ab
ay - by = abx
ay - by + by = abx + by
ay = abx + by
ay - abx = abx + by - abx
ay - abx = by
a(y - bx) = by
Divide both sides by (y - bx):
a(y - bx)/(y - bx) = by/(y - bx) [division property of equality]
a = by/(y - bx)
Thus, solving the given equation y = x(ab/a - b) for a, we have: a = by/(y - bx).
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you note that the recipe calls for two cups of butter and three eggs (plus the other ingredients) to make six dozen cookies. you call a friend and have him bring you some eggs.
The number of cookies prepared from 1.33 cups of butter are 48.
What is ratio and proportions?A ratio in mathematics signifies how many one number appears to contain another. For instance, when there are eight oranges as well as six lemons in a fruit bowl the orange-to-lemon ratio is eight to six, or 8:6, which really is similar to the proportion 4:3.
Now, as per the given question.
In this item, we have been asked to calculate the total number of cookies that may be made by having;
Let 'x' be the cookies made by 1.33 cups of butter.
When, six dozen cookies with 2 cups of the butter = 72 cookies with 2 cups of the butter.
We will use the ratio & proportion formula to solve this problem:
a/b = c/d
Let us now enter the values:
72 cookies/ 2 cups of butter = x / 1.33 cups of butter
Cross multiplying the equations;
72 cookies × 1.33 cups of butter = x × 2 cups of butter
Thus,
x = (72 cookies × 1.33 cups of butter)/2 cups of butter
x = 48
Thus, 48 cookies will be made in proportion to 1.33 cup butter.
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The complete question is-
You are making cookies and are missing a key ingredient eggs. You have most of the other ingredients needed to make the cookies, except you have only 1.33 cups of butter and no eggs. You note that the recipe calls for two cups of butter and three eggs (plus the other ingredients) to make six dozen cookies. You call a friend and have him bring you some eggs. If you use all the butter (and get enough eggs), what number of cookies will you make?