Mr. Rivas bought a can paint. he used 3/8 of it to paint a bookshelf. he used 1/4 of it to paint a wagon. he used some of it to paint a birdhouse and has 1/8 of the paint left. how much paint did he use for he birdhouse

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.

Answer: its the 1st one

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is 17 hours

To find the better buy between two stuffing boxes of different sizes and prices, calculate and compare the price per ounce. The 12 oz box at approximately $0.179 per ounce is a slightly better buy than the 16 oz box at $0.18 per ounce, although they are nearly equivalent financially.

To determine which stuffing box is the better buy, we need to calculate the price per ounce for each box. We'll then compare the rates to see which one offers more stuffing for less money.

First, we calculate the price per ounce for the 12 oz box. Given the price is $2.15, we divide $2.15 by 12 ounces:

$2.15 / 12 oz = $0.179 (rounded to the nearest thousandth)

Now, we calculate the price per ounce for the 16 oz box. Given the price is $2.88, we divide $2.88 by 16 ounces:

$2.88 / 16 oz = $0.18

The 12 oz box of stuffing has a slightly lower price per ounce at approximately $0.179 compared to the 16 oz box at $0.18, making the 12 oz box the better buy.

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:

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:

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:

-8, 28

Step-by-step explanation:

║10-x║= 18

we remove the bars and we know that there are two result for this, one positive and one negative.

10-x= 18    

-x= 18-10

x= 8/-1

x= -8

-(10-x)= 18

-10 +x= 18

x=18+10

x=28

final answer is -8, 28

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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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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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:

12 pieces.

Step-by-step explanation:

Let x be the number of pieces we need to shade.

We have been given that a diagram of triangle that is made of smaller, identical pieces. We are asked to find the number of pieces that we need to shade the 75% of our given bigger triangle.

We can see that our bigger triangle is made of 16 smaller triangle. To find the number of pieces we need to shade, we need to figure out x such that 75% of 16 equals x.

[tex]x=\frac{75}{100}\times 16[/tex]

[tex]x=0.75\times 16[/tex]

[tex]x=12[/tex]

Therefore, we will shade 12 pieces to model our given percent.

To find the cost of a full yard of fabric, divide $4.10 by 7/8. This results in approximately $4.69 for a full yard after rounding to two decimal places.

If Aaron bought 7/8 of a yard of fabric for $4.10, we need to find the cost of a full yard. To do this, we divide the cost by the amount of fabric he bought. Therefore, the cost of a full yard of fabric is $4.10 divided by 7/8.

Step-by-step calculation:

Final answer:

To find the cost of a full yard of fabric, you can set up a proportion based on the cost of 7/8 of a yard of fabric. The cost of a full yard is $4.66.

Explanation:

To find the cost of a full yard of fabric, we need to determine the cost per unit of fabric. Aaron bought 7/8 of a yard for $4.10. We can set up a proportion to find the cost per yard. Since 7/8 of a yard costs $4.10, 1 yard would cost:

(1 yard) / (7/8 yard) = (cost of 1 yard) / ($4.10)

Simplifying the proportion, we get:

(1 yard) / (7/8 yard) = (cost of 1 yard) / ($4.10)

This can be simplified to:

1 / (7/8) = (cost of 1 yard) / ($4.10)

Dividing 1 by 7/8 gives us 8/7, so:

8/7 = (cost of 1 yard) / ($4.10)

Cross-multiplying, we have:

(cost of 1 yard) = (8/7) * ($4.10)

Simplifying, we get:

(cost of 1 yard) = $4.66

Therefore, a full yard of fabric costs $4.66.