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elena-s [515]
3 years ago
9

It’s a Quiz and I Have a time limit.

Mathematics
1 answer:
photoshop1234 [79]3 years ago
3 0

Answer:

96

Step-by-step explanation:

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What is the solution (using substitution) of the following equations? 2x+y=20 6x-5y=12
Scrat [10]

Y has a coefficient of 1 in the first equation, so it is easiest to use that one to write an expression for y.

... y = 20 - 2x . . . . . subtract 2x

Now, this expression can be substituted for y in the second equation.

6x-5(20-2x)=12\qquad\text{substituted for y}\\6x-100+10x=12\qquad\text{eliminate parentheses}\\16x=112\qquad\text{add 100}\\\\x=\dfrac{112}{16}=7\qquad\text{divide by the x-coefficient}

Then, using the expression for y, we find its value

... y = 20 -2·7 = 6

The solution of the equations is (x, y) = (7, 6).

5 0
3 years ago
Classify the numbers according to their positions on a vertical number line.
VikaD [51]
1.5 would be above 1, -4.5 would be below -2, 4 would obviously be above 1, 0.5 would be between -2 and above 1, and lastly -0.5 would be below -2. Hope this helped!
5 0
2 years ago
Read 2 more answers
A car travels 6 kilometers in 3.75 miles. How many miles will it travel in 40 kilometers?
spin [16.1K]

Answer:

25 miles

Step-by-step explanation:

\frac{6}{40} :\frac{3.75}{y} \\y=25


5 0
3 years ago
Read 2 more answers
The table shows the annual profits (in thousands of dollars) of a county fair from 2008 to 2012. What must the 2012 profit be (i
sertanlavr [38]
In the year 2008 and 2009, the company had profit 2.5 thousand dollars and 1.75 thousand dollars consecutively

In the year 2010 and 2011, the company experienced a loss of 3.3 thousand dollars and 1.4 thousand dollars.

Total profit is 2.5 + 1.75 = 4.55 thousand dollars
Total loss = 3.3 + 1.4 = 4.7 thousand dollars

Total loss is bigger than the total profit so the company needs to make profit in 2012 to break even = 4.7 - 4.55 = 0.37 thousand dollars (this is the least profit the company needs to make)
6 0
3 years ago
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a parallelogram has a base of 12 inches. If its area is 96 square inches, find the height of the parallelogram.
notsponge [240]
A=bh => h=A/b

A=96 in^2
b=12 in
h=A/B=96 in^2/12 in = 96/12 in = 8 in.

Height = 8 inches

3 0
3 years ago
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