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3 years ago

8

The Mulraneys hired a contractor to build an addition to their home. The Contractor proposed a rectangular room with an area of

300 square feet. The Mulraneys asked the contractor to change the area to 363 feet by increasing both the length and the width by the same percentage. By what percent did the Mulraneys ask the contractor to increase the length of the room?

2 answers:

Gala2k [10]3 years ago

6 0

300=xy and 363=(xr)(yr)=xyr^2 so

363/300=xyr^2/(xy)

1.21=r^2

r=1.1

So the dimensions were increased by 10%

Andreyy893 years ago

3 0

The answer is....increased by 10% <------

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This is important please help

Leya [2.2K]

Answer: C

<u>Step-by-step explanation:</u>

∑ 8( $\frac{7}{3}$ )⁽ⁿ⁻¹⁾ from n = 1 to n = 5

n = 1 → 8( $\frac{7}{3}$ )⁽¹⁻¹⁾

= 8 = $\frac{648}{81}$

n = 2 → 8( $\frac{7}{3}$ )⁽²⁻¹⁾

= $\frac{56}{3}$ = $\frac{1512}{81}$

n = 3 → 8( $\frac{7}{3}$ )⁽³⁻¹⁾

= $\frac{392}{9}$ = $\frac{3528}{81}$

n = 4 → 8( $\frac{7}{3}$ )⁽⁴⁻¹⁾

= $\frac{2744}{27}$ = $\frac{8232}{81}$

n = 5 → 8( $\frac{7}{3}$ )⁽⁵⁻¹⁾

= $\frac{19208}{81}$ = $\frac{19208}{81}$

Sum = $\frac{33128}{81}$

= 408.99

6 0

2 years ago

(20 PTS) Please help!!!! I've been stuck for 1 hour already! :(

Sindrei [870]

We have: 10 + 7 = 17

Answer: 17

Ok done. Thank to me :>

7 0

2 years ago

On a trip to the dump Ralph took 47 pounds of garbage his partner Kyle had 59 pounds how many pounds of garbage did they get rid

Lorico [155]

Answer:

Ralph and Kyle got rid of 106 pounds of garbage.

Step-by-step explanation:

47 + 59 = 106

5 0

3 years ago

Franco's Pizza is selling their pizzas 35% cheaper than usual if a pizza normally cost $12 how much is it now

avanturin [10]

Answer:

New or current cost = 12 - 4.2 = $7.8

Step-by-step explanation:

Franco's Pizza is selling their pizzas 35% cheaper than usual. This is a discount on the normal cost. To get the amount it costs now, we will find the percentage of the discount on the original cost and subtract what we get from the original cost.

Discount = 35℅

Original cost of pizza is $12 (if a pizza normally cost $12).

So the discount in terms of dollars

= ℅ discount / 100 × normal cost of pizza

= 35 / 100 × 12 =0.35 × 12 = $4.2

New or current cost of pizza would be normal or original cost - the discount in dollars.

New or current cost = 12 - 4.2 = $7.8

4 0

3 years ago

Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6

lora16 [44]

Answer:

The answer is the option C

graph of $3x$ minus $3$ , with discontinuity at negative $2$ , negative $9$

Step-by-step explanation:

we have

$f(x)=\frac{9x^{2}+9x-18}{3x+6}$

Simplify

$f(x)=9\frac{(x^{2}+x-2)}{3(x+2)}$

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}$

Step 1

Convert to a factored form the numerator

$x^{2}+x-2=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}+x=2$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}+x+0.25=2+0.25$

$x^{2}+x+0.25=2.25$

Rewrite as perfect squares

$(x+0.5)^{2}=2.25$

Square root both sides

$x+0.5=(+/-)1.5$

$x=-0.5(+/-)1.5$

$x=-0.5+1.5=1$

$x=-0.5-1.5=-2$

so

$x^{2}+x-2=(x-1)(x+2)$

Step 2

Simplify the function f(x)

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}=3\frac{(x-1)(x+2)}{(x+2)}$

The domain of the function f(x) is all real numbers except the number $x=-2$

Because the denominator can not be zero

$f(x)=3\frac{(x-1)(x+2)}{(x+2)}=3(x-1)=3x-3$

$f(x)=3x-3$ ------> with a discontinuity at $x=-2$

$f(-2)=3(-2)-3=-9$

The discontinuity is at point $(-2,-9)$

the answer in the attached figure

8 0

3 years ago

Read 2 more answers