The area of a rectangle is 216 inches squared. The ratio of the length to width is 3:2. Find the length and the width

9514 1404 393

Answer:

  678

Step-by-step explanation:

The sequence has a first term of 12 and a common difference of 21-12 = 9. The explicit formula for the n-th term is ...

  an = a1 +d(n -1)

For a1 = 12 and d = 9, this is ...

  an = 12 + 9(n -1)

Using 75 for the value of n, we have ...

  a75 = 12 + 9(75 -1) = 12 + 666 = 678

The 75th term is 678.

Answer:

if there is equivalent ratio cookies should be 48

Answer:

Tim paid $123 more last year than Sarah.

Step-by-step explanation:

First, plug in 41 for the equation to get the cost Sarah has paid last year in which you should get $148 as the first part of your answer.  Since Tim rented twice the amount of movies Sarah has rented, you should multiply that number to get 82.  Then, plug in 82 for the equation to get the cost Tim paid last year in which you should get $271 as your second part of the answer.  Then subtract 148 from 271 to get a difference of $123 in which Tim paid more of than Sarah.

Answer:

f(2)=9

Step-by-step explanation:

Answer:

Write a linear function f with the values f(2)=−2 and f(1)=1.

So, this is just a different way to say two different coordinates (x, y) and (x1, y1). f(x)=y and f(x1) = y1

We have: (2,-2) and (1,1) and we want to know the equation of the line that goes through those two points.

Find the : M = (y-y1)/(x - x1) = (-2 - 1) / (2 - 1) = -3/1 = 3; M = 3

Find the Y intercept by in one of the points for x and y and solving for B

Y = 3(X) + B

I'll choose the (1,1) to plug in: 1 = 3(1) + B; so B = -2

Put them together in intercept form: Y = 3(X) -2

Step-by-step explanation:

Does this help you understand the steps to take to solve this type of problem? please mark me as brainlest answer hope this helps

Answer: 19.28 Meters

Step-by-step explanation:

We will find our units of conversion for this problem.

100 centimeters is equal to 10 meters.

So, we will divide 1,928 by 100 and we will see what we get.

1,928 ÷ 100 = 19.28

Our answer to the question is 19.28!

Carry on Learning!

Answer:

173.200

Step-by-step explanation:

Answer: 530.3

Step-by-step explanation:

Difference means to subtract

620-89.7=530.3

Answer:

530.3

Step-by-step explanation:

You want to subtract 620-89.7. If you want to use the standard algorithm you have 620.0-89.7. You "borrow" from the 2 in the tens place, then "borrow" from the ones place. To subtract 10-3 tenths. Then you subtract the ones place which is 9-9=0 ones. Now you subtract 62-8=53 tens. So you have 530.3 as the difference.

Answer: 15) 1   16) 30

Step-by-step explanation:

15 ) Since 15 you are shown that the larger   has 30 & 5 so, if it has shrunk until now that 30 has turned into 6 that means it has shrunk by 5 times the original bigger triangle has (30 divided by 6 = 5). 5 can go into 5 1 time so you get 1

16) We have an isosceles triangle so all the sides will be equal. So If one side is 30 then the rest will be 30. This is also shown with the smaller triangle, with both sides equaling 6.

Answer:

Kindly check explanation

0.57691

0.4719

Step-by-step explanation

A.) The distribution of sample means must follow a normal distribution ;

Mean = 64 ; Standard deviation = 17 ;

Standard Error = s/sqrt(n) = 17 / sqrt(20) = 3.8013155

N(64 ~ 17)

Given that:

mean (m) = 64

Sample size (n) = 20

Standard deviation (s) = 17

Find

P(x < 67.3)

Z = (x - m) / s

Zscore = (67.3 - 64) / 17

Zscore = 0.1941176

P(Z < 0.194) = 0.57691 (Z probability calculator)

(c) Find P(x > 65.2).

Zscore = (65.2 - 64) / 17

Zscore = 0.0705882

P(Z > 0.0705) = 0.4719 (Z probability calculator)

Answer:part, whole

Step-by-step explanation:

Part, whole

Answer: (-28, -24)

Step-by-step explanation:

Since the scale factor is four, it denotes that it’s a positive dilation. The question is asking for 4 times the point. In other words, where would the point be if it was stretched out 4 times.

If you draw a line from the given to the QED, (-7, -6) to (-28, -24), then you’ll realize that the image is 4 time the original point.

K= (-7*4, -6*4)

Any number less than one means the point or shape is being compressed or made smaller.

Answer: (-1,0)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Im asuming you meant " x = 2 ".

According to PEMDAS, parenthese come first so...

10 - ( 2 + 3 )

= 10 - 5

= 5  

Answer:

its 50

Step-by-step explanation:

10 times (x+3)  x=2

2 plus 3 is 5  

10 time 5

   =50

Answer:

[tex]N=\frac{8}{3}[/tex]

Step-by-step explanation:

The image below shows step-by-step on how to solve it.

Hope this helps! :)

Answer:

Quilt A: 35 green squares.

Quilt B: 12 blue squares.

Step-by-step explanation:

Based on the diagram, there are 3 blue squares for every 5 green squares. Then the ratio can be expressed as:

Therefore, knowing the ratio, you can calculate:

- The number of green squares (G) in quilt A, as following:

- The number of blue squares (B) in quilt B, as following:

Answer:

1. d) = g)

(3x - 2)(9x² + 6x + 4) = 27x³ - 8

2. e) = f)

(3x + 5) (3x - 4) = 9x² + 3x - 20

3. b) = h)

9x² - 24xy + 16y² = (3x - 4y)²

Step-by-step explanation:

From the above question, we are to find the pairs through expansion or factorisation

a) (3x + 2)(9x² - 6x + 4)

b) 9x² - 24xy + 16y²

c) (4x - 3y)²

d) (3x - 2)(9x² + 6x + 4)

e) (3x + 5) (3x - 4)

f) 9x² + 3x - 20

g) 27x³ - 8

h) (3x - 4y)²

a) (3x + 2)(9x² - 6x + 4)

We expand.

3x(9x² - 6x + 4) + 2(9x² - 6x + 4)

27x³ - 18x² + 12x + 18x² - 12x + 8

27x³ - 18x² + 18x² + 12x - 12x + 8

= 27x³ + 8

c) (4x - 3y)²

We expand

(4x - 3y) (4x - 3y)

4x(4x - 3y) - 3y ( 4x - 3y)

16x² - 12xy - 12xy + 9y²

16x² - 24xy + 9y²

d) (3x - 2)(9x² + 6x + 4)

We expand

3x(9x² + 6x + 4) - 2(9x² + 6x + 4)

27x³ + 18x² + 12x - 18x² - 12x - 8

27x³ - 18x² + 18x² + 12x - 12x - 8

= 27x³- 8

e) (3x + 5) (3x - 4)

We expand

3x(3x- 4) +5(3x - 4)

9x² - 12x + 15x - 20

9x² +3x - 20

h) (3x - 4y)²

We expand

(3x - 4y) ( 3x - 4y)

3x(3x - 4y) -4y(3x - 4y)

9x² - 12xy - 12xy - 16y²

9x² - 24xy - 16y²

Hence:

1. d) = g)

(3x - 2)(9x² + 6x + 4) = 27x³ - 8

2. e) = f)

(3x + 5) (3x - 4) = 9x² + 3x - 20

3) b) = h)

9x² - 24xy + 16y² = (3x - 4y)²

Step-by-step explanation:

2 * 6 = 6 * 2 = 10 * 1.2 = 12 * 1 = 12.

The constant value is 12 (C).

Answer:

125.74 units

Step-by-step explanation:

30.18 units

33.00 units

28.38 units

34.18 units

125.74

Step-by-step explanation:

Given

f(x) = - 3

Now

f(x) = 3x² - 15

-3 = 3x² - 15

3x² = 15 - 3

3x² = 12

x² = 12/ 3

x² = 4

x = + 2

Therefore x = + 2.

Answer:

60

Step-by-step explanation:

Answer:

C

is your answer. Glad I could help!

Step-by-step explanation:

3 + 2 = 5 + 14 = 19

A. 18

B. 15

C. 19

D. 11

Answer:

2y+12

Step-by-step explanation:

4(7/8y-4-3/8y+7)

first, in the parentheses (because of PEMDAS), combine like terms

4(7/8y-3/8y+-4+7)

4(4/8y+3)

Simplify 4/8y

4(1/2y+3)

now apply distributive property and multiply each number by 4

2y+12

Hope this helps!

Answer:

(2y + 12)

Step-by-step explanation:

4(7/8y-4-3/8y+7)

first, in the parentheses, combine like terms.

then apply distributive property and multiply each number by 4.

Sorry my answer wasn't complete last time:) Hope this is better:)

Answer:

f is equal to 3 which means g is also equal to 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

we have W=L+15 and P=90 lets replace W with this equation

P=2L+2W=2L+2(L+15)=2L+2L+30=4L+30

90=4L+30

60=4L

where L=60/4=15

we have W=30, L=15

Answer:

123

Step-by-step explanation:

Given that:

Method to generate the sequence:

If a number is less than or equal to 25, then the number is doubled.

And if the number is more than 25, then 12 is subtracted from it.

Here, we are given a sequence with its third number is 36.

Now, let us have a look by making the number 36 as half of its value.

[tex]\frac{36}{2}[/tex] = 18

This could have been the second number in the.

According to this, the first number will be [tex]\frac{18}{2} = \bold{9}[/tex]

Other option for the first term can be 18 + 12 = 30

By second method, the second method can be:

36 + 12 = 48

By this method, First number 48 + 12 = 60

Other option for first number can be [tex]\frac{48}{2 } = \bold{24}[/tex]

Therefore, sum of four options of first term:

9 + 30 + 60 + 24 = 123

Answer:

y.

Point B is reflected at from point A at y-axis.

Answer:

Step-by-step explanation:

360

Answer:

[tex]B' = (-3, -15)[/tex]

Step-by-step explanation:

Given

[tex]A = (-3,-1)[/tex]

[tex]A' = (-9,-3)[/tex]

[tex]B = (-1,-5)[/tex]

Required

Determine the coordinates of B'

Since A' is the image of A; we need to first calculate the scale factor using

[tex]A' = A * Scale\ factor[/tex]

Make Scale Factor the subject

[tex]Scale\ Factor = \frac{A'}{A}[/tex]

Substitute values for A' and A

[tex]Scale\ Factor = \frac{(-9,-3)}{(-3, -1)}[/tex]

Factorize the numerator

[tex]Scale\ Factor = \frac{3 * (-3,-1)}{(-3, -1)}[/tex]

[tex]Scale\ Factor = \frac{3 * 1}{1}[/tex]

[tex]Scale\ Factor = 3[/tex]

The coordinates of B' is then calculated as follows:

[tex]B' = B * Scale\ Factor[/tex]

Substitute values for B and Scale Factor

[tex]B' = (-1,-5) * 3[/tex]

[tex]B' = (-3, -15)[/tex]

Answer:

L = P/2 - W

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

P = 2L + 2W

Step 2: Solve for L