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Gala2k [10]
3 years ago
13

Find the dimensions of the rectangle A. 5x8 B. 2x6 C. 3x6 D. 2x3

Mathematics
1 answer:
nadya68 [22]3 years ago
6 0
<h3>Answer: choice B) 2 by 6</h3>

===============================================

How I got that answer:

Opposite sides of the rectangle are the same length, so

y = 2x-4 (horizontal sides)

3y = x+3 (vertical sides)

-----------

Start with the second equation. Replace the 'y' with (2x-4) which is from the first equation. This replacement will allow us to solve for y

3y = x+3

3(2x-4) = x+3 .. replaced y with (2x-4)

6x-12 = x+3 ... distribute

6x-12+12 = x+3+12 ..... add 12 to both sides

6x = x+15

6x-x = x+15-x ..... subtract x from both sides

5x = 15

5x/5 = 15/5 ........ divide both sides by 5

x = 3

----------

Now we know the value of x, which means we can find the value of y

y = 2x-4

y = 2*3-4 .... replace x with 3

y = 6-4

y = 2

So the horizontal side is 2 units long

The vertical side is therefore 3y = 3*2 = 6

or we can say x+3 = 3+3 = 6 getting the same answer

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4 years ago
Help solving this math question
olga_2 [115]

22. B) $65,000,000 per year.

23. B) Education.

Step-by-step explanation:

Step 1; To find the average rate of change in annual budget between the two given years. We divide the difference in values for the two years by the period in between the two years. In 2008, the budget was $358,708,000 while in 2010 it was $488,106,000. The period in between was 2 years i.e 2009 and 2010.

The average rate of change = \frac{488,106,000-358,708,000}{2} = \frac{129,398,000}{2} = $64,699,000 per year.

So the average rate of change was $64,699,000 which approximately equals option B. $65,000,000.

Step 2; To find the human resources program's 2007 to 2010 ratio we divide the value in 2007 to the value in 2010. To find the other similar ratio, we divide the value in 2007 to the value in 2010 for all the other programs and determine which is closest to the human resources program.

Human resources program ratio = \frac{4,051,050}{5,921,379} = 0.6841,

Agricultural / natural resources ratio = \frac{373,904}{488,106} = 0.766,

Education's ratio = \frac{2,164,607}{3,008,036} = 0.7196,

General government's ratio = \frac{14,347,325}{14,716,155} = 0.9749,

Highways and transportation's ratio = \frac{1,468,482}{1,773,893} = 0.827,

Public safety's ratio = \frac{263,463}{464,233} = 0.5675.

The Human resources' program ratio is 0.6841 and the closest is Education's ratio which is 0.7196. So education is the answer.

4 0
3 years ago
Help please it’s for a test I’m so clueless!!!!!!
kumpel [21]

Answer:

h=12  A=144 sq. cm.

Step-by-step explanation:

pythagoream therom:

9^2+h^2=15^2

81+h^2=225

h^2=225-81

h^2=144

Sq. rt h^2=sq. rt 144

h=12cm

1/2(b1+b2)h

1/2(5+19)12

1/2(24)12

1/2(288)

a=144

6 0
3 years ago
Joshua can purchase tile at one store for $0.99 per tile but he he will have to rent a tile saw for $25. At another store he can
Debora [2.8K]

Answer:

The number of tile for which the cost is same route to nearest tile is 49 .

Step-by-step explanation:

Given as :

The cost which Joshua will pay for tile at one store = $ 0.99 per tile + $ 25 for tile saw

The  cost which Joshua will pay for tile at another store = $ 1.50 per tile only

Let The number of tile for which the cost is same route to nearest tile = n

So, According to question

$ 0.99 × number of tile + $ 25 = $ 1.50 × number of tile

or, $ 0.99 × n + $ 25 = $ 1.50 × n

or, $ 1.50 × n - $ 0.99 × n = $ 25

I.e 0.51 × n = $ 25

∴  n = \frac{25}{0.51}

I.e n = 49.01 ≈ 49

So, The number of tile for which the cost is same route to nearest tile = n = 49

Hence The number of tile for which the cost is same route to nearest tile is 49 . Answer

5 0
3 years ago
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