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3 years ago

Must write and solve using a system of linear equation.

Mathematics

1 answer:

GaryK [48]3 years ago

3 0

Answer:

Science problems= 12

Math problems= 27

Step-by-step explanation:

x= math problems for solving

y= science problems for solving

x+y=39

y=x-15

Using substitution method:

x+(x-15)=39

2x-15=39

2x=39+15

x=(39+15)/2

x=27

Having "x" lets find out "y" value.

x+y=39

27+y=39

y=39-27

y=12

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The area of a square floor on a scale drawing is 64 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the

Oxana [17]

Answer:

Part a) The area of the actual floor is $576\ ft^{2}$

Part b) The ratio of the area in the drawing to the actual area is $\frac{1}{9}\frac{cm^{2}}{ft^{2}}$

Step-by-step explanation:

we know that

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step 1

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The area of a square is equal to

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$64=b^{2}$

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step 2

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step 3

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$A=b^{2}$

substitute

$A=24^{2}=576\ ft^{2}$

step 4

Find the ratio of the area in the drawing to the actual area

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3 years ago

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

alisha [4.7K]

Hey!

To start solving equation, we should first distribute the parenthesis. We do this so that we can get rid of the parenthesis.

Original Equation :
3 ( x - 4 ) ≥ 5x + 2

New Equation {Changed by Distribution} :
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Next, we'd add 12 to both sides of the equation to get rid of the 12 on the left side of the equation.

Old Equation :
3x - 12 ≥ 5x + 2

New Equation {Changed by Adding 12 to Both Sides} :
3x ≥ 5x + 14

Now we subtract 5x from both sides of the equation to get rid of the 5x from the right side.

Old Equation :
3x ≥ 5x + 14

New Equation {Changed by Subtracting 5x From Both Sides} :
-2x ≥ 14

Now we must inverse the inequality. To do that we multiply both sides by -1.

Old Equation :
-2x ≥ 14

New Equation {Changed by Inverse} :
2x ≤ -14

Just by looking at the equation, you can easily tell that it needs to be simplified. So, that's what we'll do next.

Old Equation :
2x ≤ -14

New Equation {Changed by Dividing Both Sides by Two} :
x ≤ -7

Seeing as the equation cannot be simplified any further, we have our answer.
The value of x in the inequality of 3 ( x – 4 ) ≥ 5x + 2, is x ≤ -7.

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