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3 years ago

Martha ran a 5-kilometer race in 22.5 minutes what is Martha's unit rate

Mathematics

1 answer:

IgorLugansk [536]3 years ago

4 0

22.5/5 = 4.5
For every 4.5 minute, she runs 5 km

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A publisher shipped 15 boxes of books to a bookstore each box contained 32 books how many books did the publisher ship to the bo

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480 books were shipped to the bookstore

$15 \times 32 = 480$

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4 years ago

The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 500 peopl

konstantin123 [22]

Answer: In first question, Number of student's ticket(s) = 400

And number of adult's ticket(d) = 100

In second question, The goal of $3050 fell by $710

Step-by-step explanation:

1. Since, Here d represents the number of adult tickets and s represents the number of student tickets.

And, all 500 seats are filled for a performance.

Therefore, s + d = 500 ------(1)

Also, the price of one adult's ticket = $8.50

The price of one student's ticket= $5.50

And, their is a revenue of $3050 by selling the tickets.

Thus, 8.50 d + 5.50 s = 3050 --------(2)

By solving the equation (1) and equation (2),

we get, s = 400, d=100

Thus, Number of student's ticket(s) = 400

And number of adult's ticket(d) = 100

2. According to the question,

s = 2 d ----- (3)

s + d = 360 -----(4)

By solving equation (3) and (4),

We get, s = 240 and d = 120

thus, the total revenue after selling 360 tickets = 8.50 × 120 + 5.50 × 240 = $2340

But, the goal is $3050 ( according to the question)

Thus the total fall = 3050 - 2340 = $710

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3 years ago

What is the compound interest on a three-year $100 loan at a 10% annual interest rate

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Year 1: $110

Year 2: $121

Year 3: $133.10

Total interest: $33.10

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3 years ago

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Is this two separate equations?

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3 years ago

Read 2 more answers

Find the equation of the line that is perpendicular to LaTeX: y=-\frac{1}{5}x+3y = − 1 5 x + 3 and goes through the point (4, -3

Elenna [48]

Answer:

$y=5x-23$

Step-by-step explanation:

step 1

Find the slope of the line that is perpendicular to the given line

we have

$y=-\frac{1}{5}x+3$ -----> given line

The slope of the given line is

$m=-\frac{1}{5}$

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

therefore

The slope of the line that is perpendicular to the given line is

$m=5$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=5\\point\ (4,-3)$

substitute

$-3=5(4)+b$

solve for b

$b=-23$

therefore

$y=5x-23$

6 0

3 years ago

Martha ran a 5-kilometer race in 22.5 minutes what is Martha's unit rate​

Martha ran a 5-kilometer race in 22.5 minutes what is Martha's unit rate