As people exited a movie theater, they were informally surveyed about whether they enjoyed the movie or not.

Males

Enjoyed: 47
Did not enjoy: 13

Females

Enjoyed: 53
Did not enjoy: 3


What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.

a = 40%, b = 4%

a = 41%, b = 3%

a = 47%, b = 3%

a = 41%, b = 19%

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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To make 1 loaf of zucchini bread, Leila needs 2.5 cups of zucchini.

To find out how many cups of zucchini Leila needs to make 1 loaf, we can set up a proportion. Since she uses 5 cups of zucchini to make 2 loaves, we can say that 5 cups is to 2 loaves as x cups is to 1 loaf. We can set up the proportion as:

5 cups / 2 loaves = x cups / 1 loaf

Now we can cross-multiply and solve for x:

5 cups * 1 loaf = 2 loaves * x cups

x = (5 cups * 1 loaf) / 2 loaves

x = 5/2 = 2.5 cups

Therefore, Leila needs 2.5 cups of zucchini to make 1 loaf.

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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.

If the complement of an angle measures 52 degrees, measure of supplement is 128 degrees

Given:

the complement of an angle measures 52 degrees

Sum of complementary angles is equal to 90 degrees

one angle is 52 degrees

other complementary angle is [tex]90-52=38[/tex]

Other complementary angle is 38 degrees

sum of supplementary angle is 180 degrees

one angle is 52 degree

the measure of supplement is [tex]180-52=128[/tex]

Measure of supplement is 128 degrees

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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.

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.

The number 1 and 3/5 (1.6) is greater than 1.3 when comparing the two.

To compare 1.3 (which is the same as 1 and 3/10) and 1 and 3/5, we first need to express both numbers with the same denominator so they can be easily compared. The number 1 and 3/5 can also be written as 1.6, because 3 divided by 5 equals 0.6. Now we have 1.3 and 1.6 which allows us to see that 1.6 is greater than 1.3.

Answer:

Multiplying a number by 10 makes calculations much easier

Step-by-step explanation:

To multiply a number by [tex]10^{n}[/tex], add n zeroes to a number.

For example, 25×1000=25×10³=25000

Consider the following pattern:

[tex]5\times 10=50\\5\times 10^2=500\\5\times 10^3=5000\\5\times 10^4=50000\\5\times 10^5=500000\\5\times 10^6=5000000[/tex]

So, basic rules of multiplying a number by 10 makes calculations much easier.

Foe example consider the following example:

[tex]26\times 20\times 30=26\times (2\times 10)\times (3\times 10)=26\times 6\times 100=15600[/tex]

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.

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.

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

0 4/25 is 4/25 as a mixed number.

To express the fraction 4/25 as a mixed number, we need to divide the numerator (4) by the denominator (25).

4 ÷ 25 = 0 with a remainder of 4.

The whole number part is 0, and the remainder becomes the numerator of the fraction. The denominator remains the same.

Therefore, 4/25 as a mixed number is 0 4/25.

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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.

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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Answer:

Step-by-step explanation:

It is 17 hours