A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 63 in., what is the length of the banner?
a.
84 in.
c.
12.5 in.
b.
18 in.
d.
6.5 in.

Answers

Answer 1
18/24 = 63/x...18 width to 24 length = 63 width to x length
cross multiply
(18)(x) = (24)(63)
18x = 1512
x = 1512/18
x = 84 inches <===
Answer 2

The scale factor is 3.5 and the length of the banner is 84 inches. Then the correct option is A.

What is dilation?

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

A picture of a school’s mascot is 18 in. wide and 24 in. long.

It is enlarged proportionally to banner size.

If the width is enlarged to 63 in.

Then the scale factor will be

[tex]\rm S.F. = \dfrac{63}{18}\\\\S.F. = 3.5[/tex]

Then the length of the banner will be

[tex]\rm Banner \ length = S.F. \times 24\\\\Banner \ length = 3.5 \times 24\\\\Banner \ length = 84[/tex]

The length of the banner is 84 inches.

More about the dilation link is given below.

https://brainly.com/question/2856466


Related Questions

What is the rational number equivalent to 1.28 repeating A. 1 6 over 97 B.1 28 over 99 C. 1 8 over 33 D. 1 5 over 16

Answers

B is the correct answer. The 1 represents a whole number, and 28/99= .28282828 (the repeating decimal wanted)

Therefore 1.28= 1 28/99

Answer: 1 28/99


Step-by-step explanation:


Put in order from greatest to least: 0.6, 71%, 5/6, 56%.

Answers

56%, 0.6, 71%, 5/6 hope it's right

Find x value for the point that splits segment CD in half if point C is located at (−2, 4) and point D is located at (3, 7).

Answers

The x value is 1/2, or 0.5

Just use the midpoint formula
(x2+x1)/2 , (y2+y1)/2

to find the midpoint. The x value would be (x2+x1)/2, so plug in the numbers.
(-2+3)/2 = 1/2

Answer:

[tex]\text{The x value for the point that splits segment CD in half is }\frac{1}{2}[/tex]

Step-by-step explanation:

Given two points C(-2,4) and D(3, 7)

we have to find the value of x-coordinate for the point that splits segment CD in half.

By mid-point formula,

The coordinate of mid-point of line segment joining the points (a,b) and (c,d) are [tex](\frac{a+c}{2}, \frac{b+d}{2})[/tex]

Coordinates of mid-point joining the points C(-2,4) and D(3, 7)

[tex](\frac{-2+3}{2},\frac{4+7}{2})[/tex]

[tex](\frac{1}{2},\frac{11}{2})[/tex]

[tex]\text{The x value for the point that splits segment CD in half is }\frac{1}{2}[/tex]

on the highway Anita drove an average speed of 60.2 miles per hour at that speed about how far can she travel in three and a half hours at the same speed about how many hours will it take if needed to drive 400 miles

Answers

6. 64 hours so about 7 hours if you need to round up


hope this helps


please thank me

What is the domain of the function on the graph?

Answers

all real numbers greater than or Equal to -2

kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?
A model to help you start your equation as: Kim’s age + Sister’s age = 36
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence

Answers

   A. 2x+x=36
        x=12


 B.  2(12)+12=36
      24+12=36


C. Brainliest if satisfied :D
a)
Let x = sister's age
Kim's age is twice that of her sister
so Kim's age = 2x
Kim’s age + Sister’s age = 36
equation:
x + 2x = 36

b) solve the equation x + 2x = 36

x + 2x = 36
3x = 36
  x = 36 / 3
  x = 12
  Kim's age = 2x = 2(12) = 24


answer
Sister's age is 12 and  Kim's age is 24. 

Find the prime number of 465 822 600 743

Answers

The prime number is 743

456 is divisible by 5

822 is divisible by 2

600 is divisible by 10

743 is only divisible by itself and 1 making it prime
465 ends in 5, so it must be divisible by  5.
822 and  600 are even, so the y are divisible by 2.
All that is left is 743, so that has to be it.

Using the number 691,794 make two three digit numbers that are very close to each other

Answers

The best way to start would be to see if you can make the hundred's values the same for both numbers. The only two repeating values are 9, therefore your number should start with 9. the next thing is to find the closest tens values. this is 6 and 7. so one number with be 96x and the other 97x. Next you will then find and insert either 4 or 1 into the numbers and find which difference between the two combinations is the smallest, either (964 - 971 or 961 - 974)

Solve for q. 16−3q=10 Enter your answer in the box.

Answers

the answer to this problem is q=2
The answer is -2.
10-16=-6, 16÷3=-2, q=-2. Hope this helped :)

5 + 4 * 2 + 6 – 2 * 2 - 1

Add two different sets of parentheses to make the number 19

I already know (5 + 4) * 2 + 6 – 2 * 2 - 1
but I need one more

THANK YOU SO MUCH

Answers

(5+4)*2+6-(2*2)-1 
Man i love myself

|4- 3X|=10 please help me

Answers

The answers are -2 and 3/14. when you do it the first time solve the equation normaly. the second time switch the sign of the left side. so it would be =-10 instead of positive 10.



20-minute

 TV program consists of 

two commercials, each

 

1

3

4

 minutes

 long, and three 

equal‐length

 entertainment segments. How long is each entertainment segment? Enter your answer as a mixed fraction.

Answers

2 commercials would take 2×1¾ min= 2×7/4min= 7/2min
so the entertainment segments = 20-7/2= 33/2
each would contain = 33/2÷3 = 33/2×1/3 = 11/2
= 5½

answer =5½

How to turn Standard Form ( -x + 2y = 10) to Point slope form?

Answers

Point slope form (slope intercept form)  is y = mx + b

so first move the -x over to the other side

2y = x + 10

Divide 2 to both sides

2y/2 = y
(x + 10)/2 = x/2 + 5

slope intercept form
y = x/2 + 5

hope this helps

which expression is equivalent to the expression shown? exponent: 3 -3
a. -27 b.27 c. -1/27 d. 1/27

Answers

3^(-3) = 1/3^3 = 1/27

Sally did some counting look at her work explain why you think sally counted this way 177,178,179,180,190,200,220,211,212,213,214

Answers

The first and last four numbers each have a difference of one between them. The fifth number has a difference of 10 between it and the previous number. The middle number has a difference of 20 between itself and the two numbers that surround it. Counting in this way could have been a result of a lot of things to count, and spot checking along the way (when the numbers have a difference of 1).

What is the sum of the integers between √22 and √78 ?

Answers

I got 13.5 (rounded) hoped I helped you out

I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT.

Answers

In a function, each x-coordinate can be used only once.
If you have two points, one above the other on the same vertical line, it is not a function.
You are correct.
The upper, right-hand graph represents a function.  Why?  Because there is never more than one value of y for any given x.

If you use the vertical line test on the other 3 problems, you'll see that for some x, the line goes thru more than just one black dot.

A local grocery store sells oranges $1.15 per pound, tax included. A shopper buys 1.3 pounds of oranges from the store. Rounded to the nearest cent, how much does the shopper pay for the oranges?

Answers

the price for one pound is $1.15

to find the total cost you need to multiply the cost of one pound by the total weight of how much was bought

 they bought 1.3 pounds, so multiply 1.3 by 1.15 for the total cost

1.15 * 1.3 = 1.495 which rounds up to $1.50

the shopper paid $1.50

help! 65-32/8 (/=divided by)

Answers

Final answer:

The calculation 65 - 32/8 follows the order of operations, starting with division and then subtraction. Dividing 32 by 8 gives 4, and subtracting this from 65 gives a final answer of 61.

Explanation:

To solve the equation 65 - 32/8, you need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Firstly, you handle the division. You divide 32 by 8 to get 4.

Then, you subtract the result from 65. So, 65 minus 4 equals 61.

The answer to the calculation  65-32/8 (/=divided by) is 61.

How do you Simplify this expression

-12 ÷ 3 x (-8 + (-8) - 6) + 2

Prepare you response to this question when you are ready you may submit your response

Requirements: include various key words you learned within this unit.
list your steps in order so that anyone can follow

Answers

Use the order of operations in order to simplify (solve) the expression

-12 ÷ 3 x (-8 + (-8) - 6) + 2      Original expression
-12 ÷ 3 x (-16- 6) + 2              Inside the parenthesis do the addition of the first negatives. -8 +-8 = -16
-12 ÷ 3 x (-22) + 2                 Inside the parenthesis subtract -16-6 = -22
-4 x (-22) + 2                       Multiplication and division is worked from left to right. -12 divided by 3 is -4
88 +2                                  Multiply -4 x -22 = 88. Two negatives make a positive with multiplication.
90                                       Addition 88 + 2 = 90
The expression must be simplified using the order of operations. In this case, the terms inside the parenthesis should be simplified first. Within the parenthesis, there is a nested parenthetical term, which is simplified before the rest of the term inside the parenthesis. The +(-8) term simplifies to -8. The terms inside the parenthesis then become (-8-8-6), which is equal to -22. Then, multiplication and division are performed next, in order as they appear. So -12/3 is equal to -4. Then, -4 is multiplied by the -22 from the parenthetical expression to equal 88. Then, addition and subtraction are the final steps in the order of operations, so the 2 is added to the 88, for a total of 90.

What is the value of 3x - 12y if x= - 2/9 And y= 4 1/6

Answers

3x-12y
x=-2/9
y=25/6
3(-2/9)-12(25/6)=-152/3=-50.666666....

47 1/3 I think. Hope I'm right

Bonnie has 16 coins worth $1.50. What are the two different combinations of coins she could have?

Answers

24$ because if you multiply the two of them that is the answer you get .

a store is selling sculptures. The first week, it prices 6 sculptures at 80$ each. After each week, if a sculpture is not sold, it will be priced to sell for .85 times the previous weeks price. The store needs to sell the 6 sculptures for a total of at least $270 to make a profit. What is the last week in which all 6 sculptures could be sold so that the store makes a profit?

Answers

They can stay for 3 weeks

Answer:

they can stay for 4 weeks

Step-by-step explanation:

9) Given an 8 foot length of tree trunk with a radius of 3 feet, what is the volume of the tree trunk section? (to the nearest whole ft3)

Answers

226 is the answer.

π×32×8 = 226 

What is 20/100 as a fraction

Answers

This is already a fraction??! All you can do is write as a simpler fraction, by dividing numerator and denominator by 20, then you get 1/5
20/100 is a fraction but if you wanted to simplify it it would be 1/5

I need to look for an answer for 3,547x523 please I need to know the answer please I would be really happy if you give me an answer for this problem

Answers

You can use a calculator for this: 

3547*523 = 1332081

Write each fraction as a decimal. Then identify each decimal as terminating or repeating.

Answers

1/6 = 0.16
1/8 = 0.125
1/11 = 0.09
2/9 = 0.22
4/5 = 0.8
5/9 = 0.56
1/2 = 0.5
7/9 = 0.78

For a party, 20 sandwiches are being made. If each sandwich is cut into thirds, how many sandwich pieces are there?

Answers

I believe there would be 60 pieces...
20 sandwiches*3pieces=60

simplify 6³. please help

Answers

6^3= 6x6x6=216. I hope this helps!
The answer to the question is 216

Reggie lost 4 spaceships in level 3 of a video game. He lost 30 points for each spaceship. When he completed level 3, he earned a bonus of 350 points. By how much did his score change?

Answers

his score changed by 320. to get the answer, just subtract 30 from 350 and you get 320.
He lost 4 spaceships, each subtracting 30 points

4(-30) = -120

On completing, he earned a bonus of 350 points
0 + 350 = 350

Subtract the amount of points he lost from the bonus

350 - 120 = 230

His score has a positive 230, or x (total points he gotten) plus the bonus

x + 230

hope this helps
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