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valina [46]
3 years ago
14

The hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh

a total of 249 ounces. Which value could replace x in the table?
Mathematics
2 answers:
kap26 [50]3 years ago
6 0

Answer:

B 50 - h

Step-by-step explanation:

konstantin123 [22]3 years ago
3 0

Answer:

33 copies were paperback and 12 were hardcover.

Step-by-step explanation:

Let h represent the number of hardcover copies and p represent the number of paperback copies.

We know that the total number of copies was 45; this gives us the equation

h+p = 45

We know that each hardcover copy is 7 ounces; this gives us the expression 7h.

We also know that each paperback copy is 5 ounces; this gives us the expression 5p.

We know that the total weight was 249 ounces; this gives us the equation

7h+5p = 249

Together we have the system

\left \{ {{h+p=45} \atop {7h+5p=249}} \right.

We will use elimination to solve this.  First we will make the coefficients of the variable p the same; to do this, we will multiply the top equation by 5:

\left \{ {{5(h+p=45)} \atop {7h+5p=249}} \right. \\\\\left \{ {{5h+5p=225} \atop {7h+5p=249}} \right.

To eliminate p, we will subtract the equations:

\left \{ {{5h+5p=225} \atop {-(7h+5p=249)}} \right. \\\\-2h=-24

Divide both sides by -2:

-2h/-2 = -24/-2

h = 12

There were 12 hardcover copies sold.

Substitute this into our first equation:

12+p=45

Subtract 12 from each side:

12+p-12 = 45-12

p = 33

There were 33 paperback copies sold.

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Rauol measured the height of 12 different plants in his garden in April. He measured them again in June. What is the difference
jasenka [17]

The question is incomplete. Here is the complete question.

Raoul measured the ehight of 12 different plants in his garden in April. He measured them again in June.

April Heights (in inches) 12 15 23 11 42 45 44 39 12 19 20 12

June Heights (in inches) 45 45 40 43 11 14 12 13 41 40 45 41

What is the difference between the mean height in April and the mean height in June?

Answer: The difference between means is 8.0

Step-by-step explanation: <u>Mean</u> is the average of a set of numbers.

It is calculated as:

\mu=\frac{\Sigma x}{n}

where

x is the numbers in the set

n is how many numbers are there in the set

For heights in April, the mean is:

\mu_{1}=\frac{12+15+23+11+42+45+44+39+12+19+20+12}{12}

μ₁ = 24.5

For heights in June, the mean os:

\mu_{2}=\frac{45+45+40+43+11+14+12+13+41+40+45+41}{12}

μ₂ = 32.5

The difference between means:

μ₂ - μ₁ = 32.5 - 24.5 = 8.0

The difference between the mean height in April and in June is 8.0 inches.

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Answer:

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