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2 years ago

13

Leah gets paid $450 a week +5% commission on her sales she hopes to earn at least $600 each week right in any quality to represe

nt the verbal description

1 answer:

ElenaW [278]2 years ago

5 0

x = sales

450 + 0.05x = 600

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Haily walked 15 miles in 9 hours. What was her walking rate in miles per hour? Express your answer in simplest form

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A regular hexagonal prism has an edge length 12 cm, and height 10 cm. Identify the volume of the prism to the nearest tenth.

Alexeev081 [22]

Check the picture below.

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$\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3$

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1 year ago

soldi70 [24.7K]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The tank for a car holds 17 gallons. The gasoline gauge shows the tank is 3/4 full. How much gas is still in the tank?

Give your answer as a whole number or as a mixed fraction reduced to lowest terms.

Answer:

$Gas \: \:left = 12 \frac{3}{4} \: \:gallons \\\\$

Step-by-step explanation:

The tank for a car holds 17 gallons.

The gasoline gauge of the car shows that the tank is 3/4 full.

We are asked to find the remaining gasoline in the tank.

$Gas \: \:left = \frac{3}{4} \times 17 \\\\Gas \: \:left = \frac{51}{4} \\\\Gas \: \:left = 12 \frac{3}{4} \: \:gallons \\\\$

Therefore, the remaining gas in the tank is $12\frac{3}{4}$ gallons.

Alternatively:

$1 - \frac{3}{4} = \frac{1}{4}$

Amount of gasoline consumed = $\frac{1}{4} \times 17 = \frac{17}{4}$

Amount of gasoline left = total - consumed

Amount of gasoline left = $17 - \frac{17}{4} = 12\frac{3}{4} \:\: gallons$

6 0

3 years ago

1. Which would be a more helpful for solving the system: adding the two equations or subtracting

ira [324]

Answer:

1) Subtracting one from the other

2) x = 0.375 and y = 0.125

Step-by-step explanation:

Equation 1 :

$\frac{2x+1}{2y}=7\\\\$

Equation 2:

$\frac{6x-1}{2y}=5$

To solve these equations by the Elimination method we multiply equation 1 with 6 and multiply equation 2 with 2 so now,

$\frac{2x+1}{2y} =7\\\\2x+1=14y\\\\Multiplying\ Equation\ 1\ with\ 6\\\\12x+6=84y$

Now for the second equation:

$\frac{6x-1}{2y}=5\\\\6x-1=10y\\\\Multiplying\ equation\ 2\ with\ 2 \\\\12x-2=20y$

Now subtracting equation 2 from equation 1

$12x+6=84y\\\\12x-2=20y\\\\Subtracting\ leads\ to\\12x-12x+6-(-2)=84y-20y\\0+8=64y\\8=64y\\8/64=y\\0.125=y$

now insert this value of y into any equation

lets insert it into equation 1

$\frac{2x+1}{2y} =7\\\\2x+1=14y\\2x+1=14(0.125)\\2x+1=1.75\\2x=1.75-1\\2x=0.75\\x=0.75/2\\x-0.375$

5 0

2 years ago