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Ymorist [56]
3 years ago
11

Solve 3a – 8= 5a + 12 Show your work. (please)

Mathematics
1 answer:
amid [387]3 years ago
5 0

Answer:

<em>a = - 10</em>

Step-by-step explanation:

<em>3a – 8 = 5a + 12</em>

<em>3a – 8 + 8 = 5a + 12 + 8</em>

<em>3a = 5a + 20</em>

<em>3a - 5a = 5a + 20 - 5a</em>

<em>- 2a = 20</em>

<em />\dfrac{-2a}{-2}=\dfrac{20}{-2}<em />

<em>a = - 10</em>

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51 is 33 1/3 of what number?
nevsk [136]

Answer:

\boxed{\frac{153}{100}\:\:Or\:\:1.53}

Step-by-step explanation:

Let the number be n.


Then,

33\frac{1}{3} \tmes n=51

This implies that;

\frac{100}{3} n=51


We multiply both sides by \frac{3}{100} to obtain;


\frac{3}{100} \times \frac{100}{3}n=\frac{3}{100} \times 51


\Rightarrow n=\frac{3}{100} \times 51


\Rightarrow n=\frac{153}{100}

Or

\Rightarrow n=1.53


5 0
3 years ago
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What is the length of segment AC?
uysha [10]

Answer:

8

Step-by-step explanation:

5 0
3 years ago
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The ratio of credit card sales to cash sales at a store was 8:3. If the store had 144 cash sales, how many more credit card sale
Neko [114]

Answer:

There were 240 more credit card sales than cash sales.

Step-by-step explanation:

By using the ratio 8:3 I was able to determine that if there were 144 cash sales that would mean that there would be 384 credit card sales. However, the question asks "How many <u>more</u> credit card sales were there than cash sales?" Meaning that we need to find the difference. 384-144= 240.

This means that there were 240 <u>more</u> credit card sales than cash sales.

Hope this helped! If you have any questions about what I did please comment!

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Have a great day!!

4 0
3 years ago
The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet: Gr
siniylev [52]
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or  y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
This rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases in the interval x =[12, 15].
5 0
3 years ago
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What is 2+2? I NEED HELP ASAP!
FromTheMoon [43]

Answer:

4

Step-by-step

dam its so simple it hurts my brain

8 0
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