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Andreas93 [3]
3 years ago
15

Lumar needed to pay $5 to enter an arcade. She needs to pay $0.30 for each game she plays.

Mathematics
1 answer:
Marrrta [24]3 years ago
6 0

Answer:

x=game played

y=total amount spent

a) 5+0.3x=y

b) (44-5)/0.3=y

39/0.3=y

130=y

c) 30/0.3=100

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When asked to write a point slope equation for a line passing through the points (-4,-7) and (3,2) a student wrote y-2=-9/7(x-3)
AleksAgata [21]
First let's find the slope
Slope formula: 
\frac{y_2-y_1}{x_2-x_1} =slope
Given the two coordinates: 
(-4,-7) (3,2) 
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Plug these numbers into the formula
\frac{2-(-7)}{3-(-4)} = \frac{9}{7}
In this case the mistake that was made was that the student wrote the slope negative instead of positive
Final answer: 
<span>y-2=9/7(x-3)</span>
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4. Solve the following system of equations for x.
Ber [7]

We are given the system of equations -:

\large{ \begin{cases} 2x + 3y =  - 14 \\ y = 6x + 22 \end{cases}}

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

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Expand 3 in the expression so we can combine like terms and isolate x-variable.

\large{2x + 18x + 66 =  - 14}

Then combine like terms.

\large{20x + 66 =  - 14}

Get rid of 66 from the left side by subtracting both sides by itself.

\large{20x + 66 - 66 =  - 14 - 66} \\  \large{20x =  - 80}

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

\large{ \frac{20x}{20}  =  \frac{ - 80}{20} }

Simplify to the simplest form.

\large{x =  - 4}

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

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I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

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3 years ago
In right triangle ABC, A = 42°. Find the measure of B which is the other non<br> right angle.
rjkz [21]

A=42

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We can reason that C will be equal to 90 since it is the right angle. So to find B we have to subtract 90 from 180 to get 90 then subtract 42 to get 48

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