Draw and label a rectangle prism that has a surface area of 158 square yards

To determine how many math books will fit on a shelf that is 2 feet long and given that the math book is 1 and 1/2 inches thick, we convert the length of the shelf to inches and divide it by the thickness of the book to calculate the number of books that will fit on the shelf.

To determine how many math books will fit on a shelf, we need to convert the thickness of the book and the length of the shelf to the same unit of measurement. Since the book is 1 and 1/2 inches thick and the shelf is 2 feet long, we need to convert feet to inches. There are 12 inches in a foot, so the length of the shelf is 2 x 12 = 24 inches. Now we can divide the length of the shelf by the thickness of the book: 24 / 1.5 = 16.

Therefore, 16 math books will fit on the shelf.

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To solve the equation 3x + 15y = 7 for y, subtract 3x from both sides and then divide by 15. This results in y = (7 - 3x) / 15.

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The expression -6m-n+3 is equivalent to our given expression.

To find the equivalent expression for -3(2m - 1) - n, distribute the -3 to 2m and -1, and then combine like terms:

[tex]\(-3(2m - 1) - n\)[/tex]

[tex]\(-6m + 3 + n\)[/tex]

So, the correct answer is option D) -6m - n + 3.

Complete question:

Which expression is equivalent to -3(2m - 1) - n?

A) 6m - n - 3

B) 6m - n + 3

C) -6m - n - 3

D) -6m - n + 3

Suppose 6 people can plant 12 trees in 3 hours. So, The people are needed to plant 28 trees in 5 hours and 15 minutes is 8.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The time, t, in hours, that it takes x people to plant n trees varies directly

with the number of trees, and inversely with the number of people.

[tex]t \propto n\\\\t \propto \dfrac{1}{x}[/tex]

Suppose 6 people can plant 12 trees in 3 hours.

[tex]3 = 6k\\\\k = 1/2\\\\[/tex]

So, the people are needed to plant 28 trees in 5 hours and 15 minutes

= 8

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Answer:

[tex]\frac{2}{3}[/tex] square yards

Step-by-step explanation:

We are given that

Audrey paint area of woods in [tex]\frac{3}{5}[/tex] hours=[tex]\frac{2}{5}[/tex] square yards

We have to find the how many square of yards she can paint in 1 hour.

By unitary method

Audrey can paint area of woods in [tex]\frac{3}{5} hours=[tex]\frac{2}{5}[/tex]square yards

Audrey can  paint area of wood in 1 hour=[tex]\frac{\frac{2}{5}}{\frac{3}{5}}[/tex]

Audrey can paint area of wood in 1 hour=[tex]\frac{2}{5}\times \frac{5}{3}=\frac{2}{3}[/tex] square yards

Hence, Audrey can paint [tex]\frac{2}{3}[/tex] square yards in 1 hour.

Let's say we have the fraction [tex]\frac{1}{2}[/tex].

To turn the fraction into a decimal, you want to take the denominator and divide it into the numerator. In this case, the denominator is 2 so we will create a divison problem and it will be 1 ÷ 2 = 0.5

↑ This method will always work ↑

Let's say we have the decimal 0.3 and we want to turn that decimal into a fraction. You can see that there is 1 digit to the right of the decimal which means that the 3 is located in the tenths place. What you want to do is put the decimal over 1 so [tex]\frac{0.3}{1}[/tex] and then multiply the top and the bottom by 10. If there is two digits after the decimal point, multiply it by 100 and if there is 3, multiply it by 1,000.

[tex]\frac{0.3}{1}[/tex] × [tex]\frac{10}{10}[/tex] = [tex]\frac{3}{10}[/tex].

Answer:

The answer would be "Some number divided by 3"

Step-by-step explanation:

y = some number.

3 = 3

When an equation is shown in a fraction and you're using any terms that may be used to represent "some number," such as y, x, etc; it usually means to divide the two numbers in the fraction.

Sorry if that didn't make sense, I'm only in 7th grade and I'm very bad at explaining haha

Based on the information given, the width of the rectangle is 9 yards.

The area of a rectangle is gotten as:

= Length × Width

In this situation, the area of a rectangular ice skating is 900 square yards ans the length of the rink is 100 yards.

Therefore, the width of the rectangle will be:

= 900/100

= 9

Therefore, the width is 9 yards.

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Answer:

Given expression,

23.725 × 6.25

Since, it is quite tough to find the product of the above problem directly or without estimation,

Now,

23.725 ≈ 24,

6.25 ≈ 6

⇒ 23.725 × 6.25 ≈ 24 × 6 = 144

Hence, 23.725 ×6.25  ≈  144

Reason of estimation :

Since, after rounding the numbers we get the integers which are easy to multiply in compare to multiply the given decimal numbers.

Answer: its the 1st one

Step-by-step explanation:

Answer:  5

Step-by-step explanation:

Given : Tristan has 45 apples and 20 pears that he is putting into gift baskets.

Each basket will have the same number of apples and pears.

To find the greatest number of baskets Tristan can make with no fruit left over, we find the greatest common factor if 45 and 20.

For that first we write the prime factorization of 45 and 20 :-

[tex]45=3\times3\times5\\\\20=2\times2\times5[/tex]

Greatest common factor of 45 and 20 (GCF) = 5

Hence , the greatest number of baskets Tristan can make with no fruit left over =5

Answer:

Step-by-step explanation:

35/12

On simplification of 8 3/4 minus 5 5/6, we get 3 11/12.

To solve 8 3/4 minus 5 5/6, you can convert the mixed numbers to improper fractions first. 8 3/4 is equal to 35/4, and 5 5/6 is equal to 35/6. Then, subtract the fractions to get the answer.

35/4 - 35/6 = 35/12 or 3 11/12.

Answer:

Step-by-step explanation:

It is 17 hours