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Natalka [10]
3 years ago
15

the original plan for mr Harris's house is a rectangle that measures 40ft by 50ft. because of the increase and cost of materials

, the square footage is reduced to 1739ft squared. how much will the dimensions be decreased?
Mathematics
1 answer:
Sloan [31]3 years ago
6 0

Answer: The dimesions will be decreased by 13.05%.

Step-by-step explanation:

Hi, we have to calculate the original area.

Area of a rectangle = Length x width

Replacing with the values given:

A = 40x50 = 2000 ft2

Since is reduced to 1739. if we multiply the original area by a the percentage decrease, and subtract that value to the original area, we obtain 1739 ft2.

2000 - (2000x) = 1739

Solving for x

-2000x = 1739 -2000

-2000x = -261

x =-261/-2000

x = 0.1305

Multiply by 1000 to obtain the percentage:

0.1305 x 100 = 13.05%

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If the ratio y/x is the same for all related pairs of x and y, what does that mean
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Answer:

The same ratio indicates that there is a proportional relationship between y and x.

Step-by-step explanation:

We know when y varies directly with x, the equation is

y ∝ x

y=kx

k\:=\:\frac{y}{x}

Here,

k is the constant of proportionality.

The ratio y/x indicates that k is a constant of proportionality.

Thus, the same ratio indicates that there is a proportional relationship between y and x.

When x increases, y increases, and when y decreases, x also decreases.

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2 years ago
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Answer:

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3 years ago
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3 years ago
Read 2 more answers
B is between A and C if AB=3x+4 and BC= 4x-1 and AC=8x+15, find BC
xxTIMURxx [149]

Answer:

BC = \begin{vmatrix}- 49\end{vmatrix} = 49   unit

Step-by-step explanation:

The given as AC is a line with B as its mid point

AND ,

AC = 8x + 15

AB = 3x + 4

BC = 4x - 1

∵ AC = AB + BC

Or, 8x + 15 = ( 3x + 4 ) + ( 4x - 1)

Or, 8x + 15 = 7x + 3

Or, 8x - 7x = 3 - 15

∴             x = - 12

SO,        AC = 8x + 15 = 8 × ( - 12) + 15 = - 81

Or,          AC =   \begin{vmatrix}- 81\end{vmatrix} = 81 unit

And       ,AB = 3x + 4 = 3 × ( - 12) + 4 = - 32

Or         ,AB =  \begin{vmatrix}- 32\end{vmatrix} = 32 unit

Similarly BC = 4x - 1 = 4 × ( - 12) - 1 = - 49

Or,         BC = \begin{vmatrix}- 49\end{vmatrix} = 49 unit Answer

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7B%28%20%5Cfrac%7B5%7D%7B3%7D%20%29%7D%5E%7B2n%20%2B%201%7D%20%20%7B%28%20%5Cfrac%7B5%7D%7
Alisiya [41]

Answer:

n = -4

Step-by-step explanation:

(\frac{5}{3} )^2^n^+^1 * (\frac{5}{3} )^5 = (\frac{5}{3})^n^+^2

in multiplication if the base are same u can add there exponent.

(\frac{5}{3})^2^n^+^1^+^5 = (\frac{5}{3})^n^+^2

base of both sides are equal so their exponent will be equal

2n + 1 + 5 = n + 2

2n + 6 = n + 2

2n - n = 2 - 6

n = -4

5 0
2 years ago
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