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miss Akunina [59]
3 years ago
9

Write an algebraic expression to represent the area of the shaded region.

Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0

Answer:

4y^{2}+3y

Step-by-step explanation:

First you need to distribute the values.    

(4y+3)(2y) Using the "Rainbow Method" to multiply the polynomials    

You Should get    

8y^{2}+6y    

Since this is the area of the rectangle and we need to find the area of the shaded region you need to dived 8y^{2}+6y in half because the shaded region is half of the rectangle.    

8y^{2}+6y/2    

Doing this you will get    

4y^{2}+3y

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Identify and extend the pattern to find the next number in this sequence: 4, 12, 36, 108.....
ycow [4]
Each time the number is being multiplied by 3, thus it will continue to ...324,972,2916,8748 and so on
4 0
4 years ago
The sum of two numbers is 39. the second number is 6 more than half of the first number. let a represent the firstnumber and let
sweet-ann [11.9K]

Answer:

  • a = 22
  • b = 17

Step-by-step explanation:

Givens

Let a = the first number

Let b = the second number

Equations

a + b = 39

b = 1/2 * a + 6

Put the second equation into the first one

a + 1/2 * a +   6 = 39                  Simplify the left.

(3/2)a + 6 = 39                           Subtract 6 from both sides

(3/2)a + 6 - 6 = 39 - 6                Combine

(3/2)a = 33                                  Multiply both sides by 2

3a = 33*2

3a = 66                                       Divide both sides by 3

3a/3 = 66/3

a = 22

b = 1/2 a + 6

a = 22

b = 1/2 * 22 + 6

b = 11 + 6

b = 17

Check

22 + 17 = 39

6 0
2 years ago
Allen has four times as many cards as Bob, and Jane has twice as many cards as Allen. Together, Allen and Jane have 468 cards. H
fenix001 [56]

Answer:

156

312 and

39

Step-by-step explanation:

Let Allen be A , Jane be J and Bob be B

Allen has 4 times as Bob

So

A = 4B

Jane has twice as Allen

So

J = 2A

Together, Allen and Jane has 468 cards

A + J = 468

Substitute 2A for J in the third equation.

We have

A + J = 468

A + 2A = 468

3A = 468

Divide both sides by 3

3A/3 = 468/3

A = 156

Recall

A = 4B

Therefore

156 = 4B

Divide both sides by 4

156/4 = 4B/4

39 = B

B = 39

Also,

J = 2A

J =2 x 156

J = 312

Allen has 156 cards

Jane has 312 cards and

Bob has 39 cards

5 0
4 years ago
A rectangular prism has the volume of 528 cubic
Olin [163]

Answer:

D. 6 feet

Step-by-step explanation:

The volume of a rectangular prism can be found by using <em>L </em>* <em>W </em>* <em>H</em>, or <em>B </em>* <em>H</em>

-> The length (<em>L</em>) times the width (<em>W</em>) is equal to the base (<em>B</em>)

<em>V </em>= <em>B </em>* <em>H</em>

528 = 88<em>H</em>

6 = <em>H</em>

7 0
3 years ago
Find x when y = 3 in the literal equation 3x + 6y= 24.<br> A. 3<br> B. 18<br> C. 6<br> D. 2
alekssr [168]

Answer: It is D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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