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3 years ago

Solve the system by substitution.

1 answer:

3 0

As we know y=3/4x-3
Let's put it in the second equation
3/4x-3=1/4x+1
3/4 x -1/4 x = 1+3
2/4 x = 4
X= 4*4/2
x=8
Put x= 8 in first equation
y= 3/4 *8 -3
y=6-3
y=3
Check the answer
3=3/4 *8 -3
3=6-3
3=3
Correct
So(y, x) = (3,8)
Because x=8 and y=3

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if 3 ounces of powdered milk make 1 quart of milk, use a proportion to find how many quarts of milk can be made from 20 ounces o

Ymorist [56]

The answer is 6.666 repeating because there are 20 ounces overall you would divide by three to get your answer the formula would be 20÷3=6.6

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3 years ago

An electric company charges an initial monthly fee for service and a fixed rate per kilowatt-hours (kWh) used. This table shows

Vlada [557]

Here we are required to determine the initial monthly fee charged by the electric company.

The initial fee charged by the electric company is; C = $10

To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.

y = mx + c.

where m = slope of the relation.

and c = intercept = the initial fee charged by the electric company.

y = Monthly charge at each time.

x = Usage

To find the slope;

m = (y2 - y1)/(X2 - x1)

m = (28 -22)/(150 - 100)

m = 6/50

m = 0.12.

By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).

Therefore, m = 0.12 , y = 82 and X = 600;

we then have;

82 = 0.12(600) + c.

C = 82 -72

C = $10.

Therefore, the initial fee charged by the electric company is; C = $10.

Read more:

brainly.com/question/22163485

8 0

3 years ago

The value of the 7 in 14.837 is what?

ipn [44]

In a decimal the order is:

whole numbers/(.)/tenths/hundreths/thousandths and etc.

7 is in the thousandths place on the decimal.

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=5%5Cfrac%7B42%7D%7B170%7D%20%20-%203%5Cfrac%7B80%7D%7B170%7D%20" id="TexFormula1" title="5\fra

Reika [66]

$5\dfrac{42}{170}-3\dfrac{80}{170}=(5-3)+\left(\dfrac{42}{170}-\dfrac{80}{170}\right)\\\\=2+\left(-\dfrac{38}{170}\right)=2-\dfrac{32}{170}=1\dfrac{170}{170}-\dfrac{38}{170}\\\\=1\dfrac{170-38}{170}=1\dfrac{132}{170}=1\dfrac{132:2}{170:2}=1\dfrac{66}{85}$

$5\dfrac{42}{170}-3\dfrac{80}{170}=4\dfrac{170+42}{170}-3\dfrac{80}{170}\\\\=(4-3)+\left(\dfrac{212}{170}-\dfrac{80}{170}\right)=1+\dfrac{212-80}{170}\\\\=1+\dfrac{132}{170}=1\dfrac{132:2}{170:2}=1\dfrac{66}{85}$

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3 years ago

Evaluate bcl, given a = 5, b=-3, and c= -2.

KATRIN_1 [288]

Answer:

bcl is the same as b•c•l

therefore, -3•-2•5

=30

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3 years ago