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3 years ago

An airplane flies 2,951 miles in 6.5 hours. What is the speed of the airplane in miles per hour?

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

4 0

The answer is 454. How to solve? Simple! Just divide 2951 and 6.5.

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A phone company charges $0.50 per minute and a connection fee of $1. If you were to represent the total cost y of an x minute ca

klasskru [66]

Answer:

Per minute value fee would be the slope of the line.

Step-by-step explanation:

Given:

Per minute charges by the phone company = $ 0.50

Connection fee (fixed) charged by company = $ 1.0

We have to represent the total cost in terms of y and also explain the slope of the line.

According to the question:

Let the number of minutes be "x" .

And the total cost charged be "y" .

So,

The total cost = (No. of minutes)(Per minute charge) + Connection fee

Re-arranging in term of x and y.

⇒ $total\ cost = (no.\ of\ minutes)(per\ minute\ charge) + connection\ fee$

⇒ $y=0.50(x)+1$ ...equation (i)

Slope- intercept form: $y=m(x) +b$ m is the slope and b is the y-is intercept.

⇒ Comparing equation (i) with the slope- intercept form.

⇒ $m=0.50$ and $b=1$

So,

The slope of the line is 0.50 which is also represented by the per minute value of the call.

Per minute value fee would be the slope of the line.

4 0

3 years ago

A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

$C = Children; S = Students; A = Adults$

For the capacity, we have:

$C + S + A = 329$

For the tickets sold, we have:

$5C + 7S + 12A = 2388$

Half as many as adults are children implies that:

$A = \frac{C}{2}$

Required

Solve for A, C and S

The equations to solve are:

$C + S + A = 329$ -- (1)

$5C + 7S + 12A = 2388$ -- (2)

$A = \frac{C}{2}$ -- (3)

Make C the subject in (3)

$C = 2A$

Substitute $C = 2A$ in (1) and (2)

$C + S + A = 329$ -- (1)

$2A + S + A = 329$

$3A + S = 329$

Make S the subject

$S = 329 - 3A$

$5C + 7S + 12A = 2388$ -- (2)

$5*2A + 7S + 12A = 2388$

$10A + 7S + 12A = 2388$

$7S + 22A = 2388$

Substitute $S = 329 - 3A$

$7(329 - 3A) + 22A = 2388$

$2303 - 21A + 22A = 2388$

$2303 +A = 2388$

Solve for A

$A = 2388 - 2303$

$A = 85$

Recall that: $C = 2A$

$C = 2 * 85$

$C = 170$

Recall that: $S = 329 - 3A$

$S = 329 - 3 * 85$

$S = 329 - 255$

$S = 74$

Hence, the result is:

$C = 170$

$S = 74$

$A = 85$

8 0

3 years ago

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below

sergejj [24]

Answer:

Kerri

calculate z scores z= (x - xbar)/stdev

Kerri = 1.7

Cade = .7

Vincent = 1

Step-by-step explanation:

6 0

2 years ago

Write the decimal equivalent to 7/9

diamong [38]

Just do 7 divided by 9

3 0

3 years ago

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WHAT IS TRUE ABOUT THE HEIGHT OF THE RECTANGLE

scZoUnD [109]

Answer:

It is totaly based on the diagram

6 0

2 years ago

Read 2 more answers