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4 years ago

Marie is riding her bike at 15 miles per hour. What is her rate of speed in feet per second?

Mathematics

1 answer:

Elina [12.6K]4 years ago

4 0

Answer:

Step-by-step explanation:

We know that 1 miles = 5280 ft and 1 hour = 3600 seconds

15 miles 5280 ft 1 hour

--------------- * ------------- * -------------- =

1 hour 1 mile 3600 second

The units cancel leaving us ft/s

22 ft/s

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Solve for x.<br><br> <img src="https://tex.z-dn.net/?f=%206-2x-x%3D18%20" id="TexFormula1" title=" 6-2x-x=18 " alt=" 6-2x-x=18 "

bazaltina [42]

B because 18-6 = 12 and -2-x=-3x so then it will equal to -3x=12 divided by -3 and your answer is -4 so that means B

8 0

4 years ago

A company offers premium cable for 39.95 per month plus a one time setup fee. the total cost for setup and 6 monthes of service

Yakvenalex [24]

Answer:

Part a) The equation of the line in point slope form is

$y-264.70=39.95(x-6)$

Part b) The equation in slope intercept form is

$y=39.95x+25$

Part c) The setup fee is $25

Step-by-step explanation:

Part a) write an equation in point slope form

Let

x ------> the number of months of service

y -----> the total cost

we know that

The equation of the line in point slope form is

$y-y1=m(x-x1)$

where

m is the slope

(x1,y1) is a point that lie on the line

In this problem we have that the cost of $39.95 per month is equal to the rate or slope of the linear equation

$m=39.95\ \frac{\$}{month}$

we have that the point (6,264.70) is a solution of the linear equation

substitute the given values

$y-264.70=39.95(x-6)$ ----> equation in point slope form

Part b) write the equation in slope intercept form

The equation of the line on slope intercept form is

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

we have

$y-264.70=39.95(x-6)$

Isolate the variable y

Distribute right side

$y-264.70=39.95x-239.70$

Adds 264.70 both sides

$y=39.95x-239.70+264.70$

$y=39.95x+25$

Part c) what is the setup fee?

The setup fee is the y-intercept of the linear equation

The y-intercept is the value of y when the value of x is equal to zero

In this problem, the y-intercept is the total cost when the number of months of service is equal to zero (the cost is equal to the setup fee)

For x=0

$y=39.95(0)+25$

$y=\$25$

The setup fee is $25

8 0

3 years ago

What is 3/18 divided by 7/21... help plz

saw5 [17]

3/18 divided 7/21 =3/18 multiply by 21/7 (we have to flip the second fraction and multiply by 3/18)= 63/126=1/2
So the answer is 1/2

8 0

3 years ago

Read 2 more answers

Which of the following is NOT written in scientific notation?

Maurinko [17]

Answer:

Step-by-step explanation:

scientific notation should have one positive in front of the decimal point, then any number (>=1) of positions after the decimal point, followed by the multiplication with the property power of 10.

the only number not following that rule is b (2 positions in front of the decimal point).

4x - 2y = 6

2x - y = 3

are the same line, as we can multiply the second equation by 2 and get exactly equation 1.

so, both lines have the same slope and the same y-intercept. therefore, they have infinitely many solutions.

6 0

3 years ago

Please i need help..

Paraphin [41]

Similar shapes have the same angles. These two triangles have no angles in common, so they're not similar.

3 0

4 years ago