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2 years ago

What is the solution for the equation -15=5(3y-10)-5y

Mathematics

1 answer:

marissa [1.9K]2 years ago

7 0

Answer:

$\Large\boxed{\sf{y=\dfrac{7}{2} }}$

Step-by-step explanation:

Isolate the variable of y from one side of the equation.

-14=5(3y-10)-5y

First, switch sides.

$\sf{5\left(3y-10\right)-5y=-15}$

Use the distributive property.

DISTRIBUTIVE PROPERTY:

A(B-C)=AB-AC

5(3y-10)

Multiply by expand.

5*3y=15y

5*10=50

15y-50-5y

15y-5=10y

= 10y-50

10y-50=-15

Add by 50 from both sides.

10y-50+50=-15+50

Solve.

10y=35

Then, you divide by 10 from both sides.

10y/10=35/10

Solve.

Divide the numbers from left to right.

35/10=7/2

y=7/2

Divide is another option.

7/2=3.5

$\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}$

Therefore, the correct answer is y=7/2.

I hope this helps. Let me know if you have any questions.

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Determime the intercepts of the line that passes through the following points. (-6,5);(-3,3);(0,1)

butalik [34]

well for a line, to get its slope all we need is two points, so let's use (-6, 5) and (0, 1), and get the equation of it.

$\bf (\stackrel{x_1}{-6}~,~\stackrel{y_1}{5})\qquad
(\stackrel{x_2}{0}~,~\stackrel{y_2}{1})
\\\\\\
slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-5}{0-(-6)}\implies \cfrac{1-5}{0+6}\implies -\cfrac{5}{6}$

$\bf \begin{array}{|c|ll}
\cline{1-1}
\textit{point-slope form}\\
\cline{1-1}
\\
y-y_1=m(x-x_1)
\\\\
\cline{1-1}
\end{array}\implies y-5=-\cfrac{5}{6}[x-(-6)]\implies y-5=-\cfrac{5}{6}(x+6)
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\textit{to get the x-intercept, we set y = 0, solve for \underline{x}}
\\\\\\
0-5=-\cfrac{5}{6}(x+6)\implies -30=5x+30\implies -60=5x
\\\\\\
\cfrac{-60}{5}=x\implies -12=x~\hfill \boxed{\stackrel{x-intercept}{(-12,0)}}$

now, where's the y-intercept of that line? well, to get the y-intercept, we set x = 0 and solve for "y"....hmmmm wait a second, notice (0, 1), x = 0, y = 1, that's the y-intercept already.

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3 years ago

*PLEASE help* *100 points* *ANY spam will be reported*

sergij07 [2.7K]

26 adult tickets = $12 (cost of an adult movie ticket) • 26 = $312

There were $312 dollars worth of money sold from the adult tickets that were sold for the 10PM show.

$600 - $312 = $288

This means that there were $288 dollars worth of money sold from children’s tickets for the 10PM show.

Since each children ticket is $8, you would do

8x = $288

(X IS HOW MANY CHILDREN TICKETS THAT WERE SOLD)

Once you do that, you would simplify it by dividing 8x by 8 which would give you x by itself and do the same thing for the other side as you have to do the same for both sides of the equal sign. So, you would do $288 divided by 8 and get 36.

x = 36

To check our work, we will substitute the value of x into the equation

8(36) = $288
288 = $288

Therefore, there were 36 children tickets sold for the 10PM show.

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2 years ago

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in 2018 the company had profits of $16 million. In 2019, the company's profits were $24 million. What was the percent of the inc

Dafna11 [192]

As given by the question

There are given that the profit of $16 milonin 2018 and $24 milion in 2019.

Now,

To find the profit,