Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor? PLSS HELP!

Answers

Answer 1

Answer: 45 / 40 ft

Step-by-step explanation:

Given that She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?

Actual width of shorter side = 45 ft

New width of shorter side = 40 ft

Scale factor is the ratio of the actual length to the new or intended length

Scale factor = Actual width / New width

Hence, scale factor :

45 ft / 40 ft


Related Questions

f(x) = (x + 1)2
What is the domain of f?

Answers

Answer:

all real values of x

Step-by-step explanation:

khan academy says so

The domain of the parabolic function is all real number. Then the correct option is E.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = (x + 1)²

Then the domain of the parabolic function is all real number.

Then the correct option is E.

More about the domain and range link is given below.

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The line segment is rotated 90 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′

Answers

Answer: the answer is CD is half the length of CD

Step-by-step explanation:

Twice a number increased by 3 is greater than six

Answers

Answer:

2x + 3 > 6

Step-by-step explanation:

Hopefully this helps you :)

pls give me brainlest :)

70 POINTSS!!!!!!! ANSWER ASAP write a paragraph on what you've learned about exponents and why some people may utilize exponents in their jobs.

Answers

I learned that Exponents are important in math because they allow us to abbreviate something that would otherwise be really tedious to write. If we want to express in mathematics the product of x multiplied by itself 7 times, without exponents we'd only be able to write that as xxxxxxx, x multiplied by itself 7 times in a row. , from exponents I

The number 27 raised to which power will equal 3

Answers

Answer:

-3

Step-by-step explanation:

herp derp herp derp herp derp

Step-by-step explanation:

Hey there!!

The power of 25 should be 1/3 to make it equal to 3.

Because,

=[tex] {27}^{ \frac{1}{3} } [/tex]

=[tex] {3}^{3 \times \frac{1}{3} } [/tex]

=[tex] {3}^{1} [/tex]

= 3

Hope it helps...

Solve for x. 3(x−4)/2=9 Enter your answer in the box. x =

Answers

Answer:

x = 10

Explanation:

Answer:

x=5

Step-by-step explanation:

3(x-4)/2=9

Distribute 3

3x-12/2=9

3x-6=9

add 6 to both sides

3x=15

divide both sides by 3

x=5

The following graph predicts the time it takes to hike different distances. Which statements about the graph are true?
(Choice A)
A
The point (0, 0)(0,0)left parenthesis, 0, comma, 0, right parenthesis predicts that it takes 000 hours to hike 0 \text{ km}0 km0, start text, space, k, m, end text.

(Choice B)
B
The point (3, 7.5)(3,7.5)left parenthesis, 3, comma, 7, point, 5, right parenthesis predicts that it takes 7.57.57, point, 5 hours to hike 3 \text{ km}3 km3, start text, space, k, m, end text.

(Choice C)
C
None of the above

Answers

Answer:

The answer is [tex]A\\[/tex]

Answer:

A

Step-by-step explanation:

I got it right on khan

Simplify.

6 | -5 | =

Answers

Answer:

30

Step-by-step explanation:

Now, if you are multiplying 6 times the absolute value of -5 you should get an answer of 30. Since the absolute value of -5 is 5.

is y=x-2 a positive, negative or zero slope?

Answers

Answer:

negative

Step-by-step explanation:

Answer:

Positive 1

Step-by-step explanation:

The point-slope formula is y=mx+b with m representing the slope. In this equation you don't see a m but that is because m=1 so it does not have to be written.  

-5n + 31 = -14n - 5 what is the equation

Answers

Answer:

-4

Step-by-step explanation:

-5n+31=-14n-5

-5n+14n=-5-31

9n=-36

n=-36/9

n=-4

Answer:

n = 4

Step-by-step explanation:

-5n + 31 = -14n - 5

31 + 5 = -14n - 5n

36 = -9n

-9n = 36

-9n = -36

n = 36/9

n = 4

minus minus cut

Which expression forms an equation? 60 ÷ 6 + 5, 40 ÷ 2 + 1, 40 ÷ 1 + 5, 60 ÷ 2 + 3

Answers

Answer:

None

An equation must have an equal to sign meaning an equation must state that what is on the right must equal to what is  on the left.

Step-by-step explanation:

[tex]60 \div 6 + 5\\FALSE \\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\\\:60\div \:6\::\quad 10\\\\=10+5\\\\=15[/tex]

Jacob attempted the third problem above but when checking his work he realized he made a mistake. Identify what Jacob’s mistake was in your own words, and explain what Jacob would need to do differently to avoid making that mistake in the future:
5(x+2)-7=3x+5
5x+2-7=3x+5
5x-5=3x+5
5x-5+5=3x+5+5
5x=3x+10
5x-3x=3x-3x+10
2x=10
x=5 5[(5)+2]-7=3(5)+5
5(7)-7=3(5)+5
35-7=15+5
28=20
What happened?

Answers

Answer:

Jacob forgot to use the distributive property in the 1st step

Step-by-step explanation:

Jacob should've got 5x+10-7=3x+5 for the 2nd row.

Jacob should be more careful when distributing the numbers, and make sure to distribute into every term inside the parentheses.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given solution is

5(x+2)-7=3x+5

5x+2-7=3x+5

5x-5=3x+5

5x-5+5=3x+5+5

5x=3x+10

5x-3x=3x-3x+10

2x=10

x=5 5[(5)+2]-7=3(5)+5

5(7)-7=3(5)+5

35-7=15+5

28=20

Here we can see that the correct distribution of 5(x+2) would be 5x + 10.

Because Jacob distributed 5 into x correctly and got 5x, however he did not distribute the 5 into 2 properly. It should have been 10.

Jacob should be more careful when distributing the numbers, and make sure to distribute into every term inside the parentheses.

Learn more about equations here;

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What is the base number for the system of units ? In other words by what number do we multiply to move up in scale ? _____

Answers

10. Each time you want to move up the scale, the number is multiplied by 10. The opposite is true when moving down; you must divide by 10.

Aliyah $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

Answers

Each pencil cost $2.

Explanation: She had $24 before buying the pencils and after she had $10. 24-10=14 so the total she spent on pencils was $14. She bought 7 pencils so you divide 14 by 7 (14/7=2) which equals 2. So each pencil cost $2.

Answer:

They are $2 dollars a piece


Sean buys a packet of perfumed candles that contains 12 lavender, 8 vanilla, and 20 rose-perfumed candles. He randomly takes
out a candle from the packet, replaces it, and then randomly takes out another
What is the probability that he takes out a lavender
and a rose-perfumed candle

.05

.24

.3

.15

Answers

Answer:

05.

Step-by-step explanation:

trust me dude i just took this question :D

The probability of taking out lavender and a rose-perfumed candle with replacement is 0.15 so option (D) will be correct.

What is probability?

Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

Do not take underestimate probability it has several uses in daily life whether forecasts or like that.

Total number of candles = 12 + 8 + 20 = 40

Probability = desire/total

So,

Probability of taking lavender first = number of lavender/total

⇒ 12/40 = 0.3

Now since we again put the lavender into the lot it means all things remain the same.

Probability of rose-perfumed second = number of rose-perfumed /total

⇒ 20/40 = 0.5

Now the probability of A and B is the multiplication of the probability of A and B individually.

So,

The probability of taking out lavender and a rose-perfumed candle

⇒ 03 × 0.5 = 0.15

Hence "The probability of taking out lavender and a rose-perfumed candle with replacement is 0.15".

For more information about the probability,

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Simplify: -5x +11x - 4+2
A 16x-6
B 4x
7x-3
D
6x-2

Answers

Answer:

Option D

Step-by-step explanation:

Combine Like Terms.

[tex]-5x+11x-4+2\\\\\boxed{6x-2}[/tex]

Hope this helps.

Answer:

D.) 6x - 2

Step-by-step explanation:

First, you add all like terms.

-5x +11x = 6x

-4 + 2= -2

= D.) 6x - 2

Hope this helps!

square root of 8 is between 7 and 9 true or false

Answers

Your answer would be false, I hope that helps!

The given statement is false.

We have the following statement -

Square root of 8 is between 7 and 9.

We have to determine if it is true or false.

What do you mean by square root of a number ?

Square root of a number is a value, which on multiplication by itself gives the original number.

According to the question -

A = [tex]\sqrt{8}[/tex] = 2.82

Clearly, it is not between 7 and 9.

Therefore, the statement is false.

To solve more questions on square roots , visit the link below-

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13(2x - 1) - 3(9x + 8) = 10

Quick help?

Answers

Answer:

1

Step-by-step explanation:

13(2x-1)-3(9x-8) = 10

or, 26x-13-(27x-24) = 10

or, 26x-13-27x+21 = 10

or, 11 - x = 10

or, 11 - 10 = x

therefore, x = 1

I hope it helped

A plane traveled 1100 miles each way to Cairo and back. The trip was with the wind. It took 11 hours. The trip back was into the wind. The trip back took 22 hours. Find the speed of the plane in still air and the speed of the wind

Answers

Answer:

Hehe did did dodndosnsod fofmfomdixnsis

Step-by-step explanation:

Nsisndidndisnsidnsi293883 ownsie

Answer:

the speed of the wind is 11 and the speed of the plane at still air is 2

i think      

Step-by-step explanation:

Which statement best describes the value of V8? I’m so confused:((

Answers

Answer:

c

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

√8 = 2.828

Just simplfy it, and then check where it lies between.

Hope this helped!

:D

I don't get this can someone help me?

Answers

Answer:

n=5

x= 23

p= 4

Step-by-step explanation:

What this wants us to do is find the value of the variable first, then find the measurement of the degrees.

So, for the first equation we need to make an equation.

Since the angles are vertical angles, that means they equal each other.

The equation would be.. 8n=9n-5.

Step 1- Move variable to the left hand side and change its sign

8n-9n= -5

Step 2- Collect like terms

-n= -5

Step 3- Change signs on both sides of the equation

n=5

So, now that we know what the variable is, substitute it into the equations.

8(5)= 40    9(5)-5= 40

For the second equation, the angles equal 180 degrees.

So, that would give us the equation.. 6x+19+x= 180.

Step 1- Add the common variables

(6x+x)+19= 180

7x+19= 180

Step 2- Subtract 19 from both sides.

7x+19= 180

   -19    -19

7x= 161

Step 3- Divide both sides by 7

7x= 161

7     7

x= 23

So, now that we know what the variable is, substitute it into the equations.

6(23)+19= 157

157+23= 180

Finally for the last equation, they are vertical angles, so they equal each other.

So, the equation would be 5p+28= 12p.

Step 1- Move the variable to on side.

5p+28= 12p

-5p         -5p

28= 12-5p

Step 2- Subtract the variables

28= 7p

Step 3- Divide by 7 to both sides.

28= 7p

7     7

p= 4

So, now that we know what the variable is, substitute it into the equations.

5(4)+28= 48

12(4)= 48

Hope this helps!! :)

Brad’s checking account starts off with a balance of $126.50. Throughout the week, Brad pays a bill for $87.21, and pays $5.64 for breakfast. He deposits $15.00 but then pays another bill for $55.25. At the end of the week, he gets a notice from the bank that he has a negative balance. How much does Brad need to deposit into his account to get to a $0 balance?

Answers

Answer:

$6.60

Step-by-step explanation:

help
Select all that apply. Which expressions are equivalent to 6r + 12?
x(6 +12)

2(3x + 6)

6(x+12)

6(x + 2)

3(2x + 4)​

Answers

Answer:

2(3x+6), 6(x+2), and 3(2x+4)

Step-by-step explanation:

George spend $17.25 on pecans and
peanuts at a farmer's market. He bought
3 1/2 pounds of pecans
for $3.20 per pound
and 5 1/2 pounds of peanuts. What was the
price per pound for the peanuts George
purchased?

Answers

11.2 for pecans
6.05 left for peanuts
6.05 / 5.5
Therefore the answer is 1.10

Given f(x)=2x+1. Find. f(-3)

Answers

Answer:

f(-3)= 5

Step-by-step explanation:

f(x) = 2x+1   f(-3)  -3 is the input.

     = 2(-3)+1

     = -6+1

f(-3) = -5

Hope this helps :)

Rays that share a common endpoint but continues infinitely in opposite directions is called___________.

Answers

Answer:

Opposite rays

Step-by-step explanation:

Rays that share a common endpoint but continues infinitely in opposite directions is called opposite rays

Opposite rays are two rays that both start from a common point and go off in exactly opposite directions.

1-69.

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

Homework Help

a. Haley simplified 23 .z and got 25. Lacey simplified 23 +22 and got

the same result! However, their teacher told them that only one

simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 35.45 and gets the result 1210, but Lacey is not sure. Is Haley

correct? Be sure to justify your answer.

Answers

The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

how would you make this into an equation 10 more than the product of 7 and 8

Answers

Answer:

7*8+10=66

Step-by-step explanation:

Use the operations from the sentence into the equation and solve.

Someone please help! What is the solution to w - 9 = 15? 5 1/2 6 1/2 24 1/2 23 1/2

Answers

Answer:

w=24

Step-by-step explanation:

w-9=15

w=15+9

w=24

Answer:

24 1/2

Step-by-step explanation:

just did  

Mary says the slope of this line is −6. Dayana says the slope is
2/5​. Who is correct?
Y=2/5x-6

Answers

Dayana is correct, the slope is of the equation is 2/5. -6 is the y-intercept
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