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DaniilM [7]
3 years ago
8

A student charges $31.50 for 3 hours of babysitting. If the amount the student earns babysitting is proportional to the hours sp

ent babysitting, which equation models the amount of dollars, y, the student earns for x hours of babysitting?
A. y is equal to 0.1 x
B. y is equal to 3.0 x
C. y is equal to 10.5 x
D. y is equal to 31.5 x
Mathematics
1 answer:
vodomira [7]3 years ago
7 0

Answer:

C) y is equal to 10.5x

Step-by-step explanation:

$31.50 is charged for <em>3  </em>hours so, for 1 hour we need to divide 31.50 by 3, which results in 10.50. So 1 hour of babysitting is $10.50

this is because x is equal to the number of hours they babysit. we do not know the actual so it is replaced with x

and y is equal to the sum of 10.5x because we multiply the number of hours worked, and the amount per hour.

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Determine the expression you can substitute for y in to solve the system below.
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Answer:

Step-by-step explanation:

given are the two following linear equations:

                       f(x)  =  y  = 1 +  .5x

                       f(x)  =  y  = 11 -  2x

Graph the first equation by finding two data points.  By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.

           If x = 0, then  f(0)  =  1  + .5(0)  =  1

           If y = 0, then  f(x)  =  0  = 1  +  .5x

                                               -.5x  =  1

                                                    x  =  -2

           The resulting data points are  (0,1)  and  (-2,0)

Graph the second  equation by finding two data points.  By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.

           If x = 0, then  f(0)  =  11  - 2(0)  =  11

           If y = 0, then  f(x)  =  0  = 11  -  2x

                                               2x  =  11

                                                    x  =  5.5

           The resulting data points are  (0,11)  and  (5.5,0)

At the point of intersection of the two equations x and y have the same values.  From the graph these values can be read as x = 4 and y = 3.

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Darya [45]

Answer:

4 \sqrt{2} i

Step-by-step explanation:

We want to find the sum of

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We can rewrite this as

\sqrt{ 2 \times  - 1}  +  \sqrt{ 18 \times  - 1}

This becomes;

\sqrt{2}  \times  \sqrt{ - 1}  +  \sqrt{18}  \times  \sqrt{ - 1}

Recall that;

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This implies that;

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Combine like terms:

4 \sqrt{2} i

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3 years ago
The area of a circle with radius r is given by A = π r2. Find the area of a circle with radius 7 centimeters. Use 3.14 for π..
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Step-by-step explanation:

Hey there!

Given;

Radius of a circle (r) = 7cm

Now;

We know that;

Area of circle (a) = π*(r^2)

= 3.14*(7^2)

= 3.14*49

= 153.86 cm^2

Therefore, the area of a circle is 153.86 cm^2.

<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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