All categories

3 years ago

Use the distributive property to solve 5(x-4)

Mathematics

1 answer:

Gre4nikov [31]3 years ago

8 0

Answer:

5x-20

Step-by-step explanation:

5(x-4)

5x- (5 x 4)= 20

5x - 20

You might be interested in

Please help this is due today ;-;

GrogVix [38]

The answer is the first one hope this helps!!

7 0

2 years ago

Read 2 more answers

A shop has determined that the number of bottles of water they sell on a summer day is a function of the day’s high temperature,

Alik [6]

Answer:

$T=t+94$

Where T is the hight temperature and t is the day

Explanation:

The table shows that every day the<em> High temperature, T (degrees F) </em>increases 1 unit.

Then, this is a linear function with slope = 1ºF / day.

You can use the point-slope equation to determine the <em>function of the high temperature:</em>

Point-slope equation:

$y-y_1=m(x-x_1)$

Choose any point from the table and m = 1. I will use the first point (1,95)

m = 1

x₁ = 1

y₁ = 95

Substitute:

$y-95=1(x-1)\\\\y=x-1+95\\\\y=x+94$

Make the variables y = T, and x = t:

$T=t+94$

4 0

3 years ago

Sam baby-sat for x hours and earned $75. If he baby-sits for y more hours at the same rate, his total earnings will be $100. Whi

77julia77 [94]

The situation can be modeled with the linear equation:

$75 + y*($75/x) = $100

<h3>Which of the following equations represents this situation? </h3>

We know that if she wors for x hours, she earns $75.

This means that the amount that she gets per hour is:

R = $75/x.

Now, if she works y more hours, then she gets another $25 (for a total of $100).

We can write this as a linear equation:

y*($75/x) = $25

We can rewrite this as:

$75 + y*($75/x) = $100

So the correct option is B.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

5 0

2 years ago

Chuck has a gross pay of $815.70. By how much will Chuck’s gross pay be reduced if he has the following items withheld? federal

tangare [24]

Chuck has a gross pay of $815.70. His gross pay will be reduced by:

Federal tax of $56;
Social Security tax that is 6.2% of his gross pay;
Medicare tax that is 1.45% of his gross pay;
State tax that is 19% of his federal tax.

Let's count:

1. gross pay of $815.70 - 100%,

Social Security tax of $x - 6.2%.

Then

$\dfrac{815.70}{x}=\dfrac{100}{6.2} ,\\ \\815.70\cdot 6.2=x\cdot 100,\\ \\x=\dfrac{815.70\cdot 6.2}{100} =50.5734.$

2. gross pay of $815.70 - 100%,

Medicare tax of $y - 1.45%.

Then

$\dfrac{815.70}{y}=\dfrac{100}{1.45} ,\\ \\815.70\cdot 1.45=y\cdot 100,\\ \\y=\dfrac{815.70\cdot 1.45}{100} =11.82765.$

3. Federal tax of $56 - 100%,

State tax $z - 19%.

Then

$\dfrac{56}{z}=\dfrac{100}{19} ,\\ \\56\cdot 19=z\cdot 100,\\ \\z=\dfrac{56\cdot 19}{100} =10.64.$

4. Chuck’s gross pay will be reduced by

$\$56+\$50.5734+\$11.82765+\$10.64=\$129.04105\approx \$129.04.$

3 0

3 years ago

Read 2 more answers

A student creates a triangle with a perimeter of 13 inches. According to the student, the longest side is 9 inches. Explain how

mamaluj [8]

Answer:

The student is wrong because the sum of any two sides of a triangle should be greter than the third side. The length of a single side of a triangle can not be half or more than half of the perimeter of that triangle. And since the given length is more than half of the perimeter , the student is incorrect .

8 0

2 years ago