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ziro4ka [17]
3 years ago
10

The expression m divided by 4 is the distance each person runs in a relay race that is m miles how far does each person run in a

relay race that is 12 miles
Mathematics
1 answer:
alexira [117]3 years ago
5 0

Answer: <em>Each person runs 3 miles</em>

Step-by-step explanation:

The race is 12 miles long, so you would substitute it for m.

This would make your equation 12/4, which is equal to 3

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Which of the following equations could be the result of using the comparison method to solve the system shown?
masya89 [10]

Answer:

6-2y=4y+8

since you show x through y

Answer:

The result that is obtained on comparing the system of equations in order to get the solution to the system of equations is:

   6 -2y =4y + 8

Step-by-step explanation:

We are given a system of equations in term of variable x and y as follows:

                                x + 2y = 6 --------(1)

                           x - 4y = 8-------------(2)

From equation (1) we have the value of x in terms of y as:

                          x=6-2y

From equation (2) we have the value of x in terms of y as:

                         x=8+2y

Hence, on equation the above two values of 'x' we obtain:

                         6 - 2y = 4y + 8

ghope this helps

5 0
3 years ago
Read 2 more answers
87.5% of what number is 49?
kozerog [31]
Answer=56

87.5%*y=49
.875y=49
____   ___
.875    .875
divide both sides by .875
y=56


7 0
3 years ago
1
skelet666 [1.2K]

Step-by-step explanation:

f°g=f(g(x))

g(x)=x^2-6x

f(x)=1/x

f(g(x))=\frac{1}{x^2-6x}

if the denominator is zero the number is undefined which makes it not in the domain of the function

set x^2-6x equal to 0

the values for x is 0 or 6

so the only value that is not in the domain of f°g is 0 and 6

Hope that helps :)

6 0
2 years ago
Peter works at Silly's and makes $33.19 an hour. He also collects a 5.3% commission on final weekly sales. Last month, he worked
Romashka-Z-Leto [24]

Answer:

$10,318.62

Step-by-step explanation:

We have been given that works at Silly's and makes $33.19 an hour. He also collects a 5.3% commission on final weekly sales. If he works over 40 hours during any week, he earns double his hourly wage.

Peter's hourly charges during 1st and 2nd week would be $33.19 and hourly charges during 3rd and 4th week would be 2 times $33.19.

First of all, we will find total hourly income as:

\text{Total hourly income}=\$33.19(30+40)+2\times \$33.19(49+55)

\text{Total hourly income}=\$33.19(70)+\$66.38(104)

\text{Total hourly income}=\$2323.3+\$6903.52

\text{Total hourly income}=\$9226.82

Now, we will find income from commission on sales as:

\text{Income from commission on sales}=\frac{5.3}{100}(4500+5500+3800+6800)

\text{Income from commission on sales}=0.053(20600)

\text{Income from commission on sales}=1091.8

Peter's total earnings is the last month: \$9226.82+\$1091.8=\$10,318.62

Therefore, Peter's total earnings in last month was $10,318.62.

5 0
3 years ago
what is the equation of the line described below written in slope-intercept form? the line passing through point (2,2) and perpe
djverab [1.8K]

Answer:

The equation of line passing through point (2 , 2) and perpendicular to line y = x is  y = - x + 4   .

Step-by-step explanation:

Given as :

The line equation is y = x

Now, equation of line in slope-intercept form y = m x + c

where m is the slope of line and c is y-intercept

Comparing given line equation with standard line equation

The slope of line y = x is m = 1

Again

Other line is passing through point (2 ,2) and is perpendicular to line y = x

Let The slope of other line = M

∵ From perpendicular lines property

Product of slope of lines = - 1

i.e m × M = - 1

Or , M = \dfrac{ - 1}{m}

Or, M = \dfrac{ - 1}{1}

∴  M = - 1

<u>Now, Equation of other line in point-slope form</u>

The other line is passing through point (2 , 2) and slope M = - 1

So, y - y_1 = M × (x - x_1)

Or, y - 2 = - 1 × ( x - 2 )

Or, y - 2 = - x + 2

Or, y = - x + 2 + 2

Or, y = - x + 4

Hence, The equation of line passing through point (2 , 2) and perpendicular to line y = x is  y = - x + 4   . Answer

5 0
3 years ago
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