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3 years ago

Angel paints three rooms with two gallons of paint. How many rooms can he paint with fifteen gallons of paint?

Mathematics

1 answer:

Vanyuwa [196]3 years ago

6 0

Answer:

22 rooms

Step-by-step explanation:

If two gallons of paint covers 3 rooms then you need to divide 15 gallons of paint by 2 gallons of paint = 7.5 gallons of paint. then you need to multiply 7.5 gallons of paint by 3 rooms = 22.5..... so that means you can paint 22 full rooms.

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I NEED HELP ON THIS PROBLEM!!! PLEASE

Allushta [10]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

$5x+8y=-9\implies 8y=-5x-9\implies y=\cfrac{-5x-9}{8} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{5}{8}} x-9\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

well then, so since this equation has that slope therefore

$\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{-5}{8}} ~\hfill \stackrel{reciprocal}{\cfrac{8}{-5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{8}{-5}\implies \cfrac{8}{5}}}$

so we're really looking for the equation of a line whose slope is 8/5 and runs through (10,10)

$(\stackrel{x_1}{10}~,~\stackrel{y_1}{10}) ~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{8}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{\cfrac{8}{5}}(x-\stackrel{x_1}{10})$

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2 years ago

Casey types at a constant speed, as shown in the following table. 1 Word per 5 sec , 2 word per 10 sec , 7 word per 35 sec ,12 w

Svetllana [295]

Answer: 5 word per 25 sec

Step-by-step explanation:

1 word per 5 sec + 2 word per 10 sec +2 word +10 sec

7 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=4%20%5Ctimes%20%20%7B2%7D%5E%7B%20-%20%20%5Cfrac%7Bt%7D%7B5%7D%20%7D%20%20%3D%20288" id="TexFo

Elena L [17]

$~H~e~l~l~o~ !$

$\text{\underline{A N S W E R : }}$

$t = -1400$

$\boxed{\text{EXPLANATION :}}$

Multiply the numbers.

$4$ · $2 - 1$ · $\frac{t}{5} = 288$

$8 - 1$ · $\frac{t}{5} = 288$

Combine multiplied terms into a single fraction.

$8 - 1$ · $\frac{t}{5} = 288$

$8$ $+$ $\frac{-t}{5} = 288$

Subtract 8 from both sides of the equation.

$8 + \frac{-t}{5} = 288$

$\frac{-t}{5} = 280$

Multiply all terms by the same value to eliminate fraction denominators.

$\frac{-t}{5} = 2 8 0$

$5$ · $\frac{-t}{5} = 5$ · $280$

Cancel multiplied terms that are in the denominator.

$5$ · $\frac{-t}{5} = 5$ · $280$

$-t = 5$ · $280$

Multiply the numbers.

$-t = 5$ · $280$

$- t = 1400$ .

Divide both sides of the equation by the same term.

$- t = 1400$

$\frac{-t}{-1} =\frac{1400}{-1}$

Simplify.

$t = - 1400$

Solution.

$- 1400$ .

$\textit{ Hope It Helped! }$

$\text{\underline{A N S W E R : }}$

$\textbf{Jace}$ ﾉｼ

$\boxed{\text{And ask me, if you have any questions ! :)}}$

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3 years ago

10a=100,000<br> a=?<br> whats the answer?

Goshia [24]

Answer

10a mean 10 x a

Find the number when you times gives you 100,000

a= 10,000

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3 years ago

Aunt sally is making cookies for a bake sale. She can bake 120 cookies every hour. Use this information to fill out the mapping

defon

Answer:

Step-by-step explanation: okay each hour she makes 120 cookies right then 2 hours would be 240 and three hours would be 360 and 4 would be 480 and 5 would be 600 hundred

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3 years ago

Angel paints three rooms with two gallons of paint. How many rooms can he paint with fifteen gallons of paint?​

Angel paints three rooms with two gallons of paint. How many rooms can he paint with fifteen gallons of paint?