Write an expression for the missing dimension of each shaded figure and a multiplication expression for its area. Then expand and simplify the multiplication expression.

19ft^2

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To figure out how many cups of milk are used for each cup of oatmeal, divide the amount of milk by the amount of oatmeal. The result is 2 1/2 cups of milk for each cup of oatmeal.

The question is asking us to figure out what the ratio of cups of milk to cups of oatmeal would be if it were reduced to one cup of oatmeal. The original proportions provided in the question are 8 3/4 cups of milk for 3 1/2 cups of oatmeal.

To find the answer, we would divide the amount of milk by the amount of oatmeal. First, we need to convert the mixed numbers to improper fractions. 8 3/4 is the same as 35/4 and 3 1/2 is the same as 7/2.

Then, we divide 35/4 by 7/2, which turns into a multiplication problem: 35/4 times 2/7. Keep in mind that multiplying fractions is straightforward - you simply multiply the numerators with numerators and denominators with denominators.

The result, therefore, becomes 70/28 which simplifies to 2.5 or 2 1/2 when turned back into a mixed number. So, there are 2 1/2 cups of milk used for each cup of oatmeal.

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It will take 30 minutes for the pump to transfer 84 gallons of water out of the swimming pool using the flow rate of 2.8 gallons per minute.

To calculate the time it takes for the water pump to transfer 84 gallons of water at a rate of 2.8 gallons per minute, you can use the formula for time, which is time = total volume/flow rate.

Firstly, find the total volume of water to be transferred, which is 84 gallons.

Next, find the flow rate of the pump, which is 2.8 gallons per minute.

Divide the total volume by the flow rate to find the time: 84 gallons / 2.8 gallons per minute = 30 minutes.

Therefore, it will take the pump 30 minutes to transfer all 84 gallons of water out of the swimming pool.

The equation of the line in point-slope form is y = -1/2x +3.

A line's slope is defined as the ratio of the change in the y coordinates to the change in the x coordinates.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

Therefore, the relationship between the change in the y-coordinate and the change in the x-coordinate.

Given coordinates (8, -1)

and the equation of a line  is y = mx + c

given equation  = y = 2x - 9

comparing from the equation of line we get m = 2

but the line passes from (8, -1) is perpendicular to a given line,

so the value for slope(m) for perpendicular is inverse of the negative of the slope of a given line,

so m = -1/2

and equation is (y - y₁) = m(x - x₁)

where y₁ = -1 and x₁ = 8

substitute the values

y - (-1) = -1/2(x - 8)

y + 1 = -1/2(x - 8)

y = -1/2x +4 -1

y = -1/2x +3

Hence the equation of a line is y = -1/2x +3.

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Answer:

i think is b

Step-by-step explanation:

Josh's site had 20,313 more visitors than Diego's site. To estimate, we round the number of visitors to each site to the nearest thousand and subtract, revealing an approximate difference of 20,000 visitors, which is close to the exact count.

To find out how many more visitors Josh's site had than Diego's, we subtract the number of visitors to Diego's site from the number of visitors to Josh's site.

Josh's site had 805,289 visitors and Diego's site had 784,976 visitors. So we calculate:

805,289 - 784,976 = 20,313

Josh's site had 20,313 more visitors than Diego's site.

Estimate:

To estimate, we can round the numbers to the nearest thousand:

Josh's site: Approximately 805,000 visitors

Diego's site: Approximately 785,000 visitors

Now we subtract:

805,000 - 785,000 = 20,000

The estimate shows that Josh's site had about 20,000 more visitors than Diego's, which is close to the exact difference of 20,313 visitors.

The park ranger counted a total of 1120 eggs in the nests in Everglades National Park.

The park ranger in Everglades National Park counted the number of eggs in 28 nests and found that there were an average of 40 eggs per nest. To find the total number of eggs the ranger counted, you can multiply the average number of eggs per nest by the total number of nests. In this case, the calculation would be: 40 eggs/nest x 28 nests = 1120 eggs.

To find the final price of the couch with a 15% markup, we add the markup to the original price of the couch.

In this question, we are given a couch priced at $1725 with a 15% markup. To find the final price, we need to add the markup to the original price of the couch.

Markup = 15% of $1725 = (15/100) * $1725 = $258.75

Final price = Original price + Markup = $1725 + $258.75 = $1983.75

Answer:

The value of the equation for F is [tex]F=\frac{K-273.15}{59}+32[/tex]

Step-by-step explanation:

Consider the provided equation.

[tex]K=59(F-32)+273.15[/tex]

We need to solve the provided equation for F.

Subtract 273.15 from both sides.

[tex]K-273.15=59(F-32)[/tex]

Divide both side by 59.

[tex]\frac{K-273.15}{59}=F-32[/tex]

[tex]F-32=\frac{K-273.15}{59}[/tex]

Add 32 from both side.

[tex]F=\frac{K-273.15}{59}+32[/tex]

Hence, the value of the equation for F is [tex]F=\frac{K-273.15}{59}+32[/tex]

Answer:

24 square candles and 12 round candles

Step-by-step explanation:

4r+6s=192

s=2r

Solve:

4r+6(2r)=192

4r+12r=192

Combine like terms

16r=192

r=12

s=2(12)

s=24

12 round candles and 24 square candles.

An expression is defined as a set of numbers, variables, and mathematical operations. The expression 1/125 as a negative exponent other than -1 is 5⁻³.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression 1/125 as a negative exponent other than -1 can be written as,

1/125

= 1/(5³)

= 5⁻³

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The simpler multiplication after breaking apart 16 × 34  are 5 × 100 + 11 × 4, 4 × 4 × 34, 8 × 2 × 17 × 2, and 4 × 8 × 17.

The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.

Given:

16 × 34  

The multiplication can be broken into simpler multiplication as shown below,

2 × 2 × 2 × 2 × 2 × 17

544

Break the term as shown below,

500 + 44

5 × 100 + 11 × 4

The 16 × 34  can also be written as 4 × 4 × 34, 8 × 2 × 17 × 2, and 4 × 8 × 17

Thus, the simpler multiplications are 5 × 100 + 11 × 4, 4 × 4 × 34, 8 × 2 × 17 × 2, and 4 × 8 × 17.

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The blueprint dimensions for a bedroom that is 12 feet by 18 feet using a scale factor of 1 inch = 5 feet are 2.4 inches by 3.6 inches, which is choice B.

To find the blueprint dimensions of a bedroom that is 12 feet by 18 feet using a scale factor of 1 inch = 5 feet, we need to convert the actual dimensions to inches on the blueprint. For the length:

12 feet / 5 feet per inch = 2.4 inches

And for the width:

18 feet / 5 feet per inch = 3.6 inches

Therefore, the dimensions on the blueprint would be 2.4 inches by 3.6 inches, which corresponds to choice B.

Answer:

The simplified form is [tex]-\frac{9m}{8}+\frac{3}{10}[/tex]

Step-by-step explanation:

Consider the provided expression.

[tex]\frac{7}{8}m + \frac{9}{10} - 2m - \frac{3}{5}[/tex]

Now combine the like terms,

Like terms are the terms which contains same variables of same degree.

[tex]\frac{7}{8}m -2m + \frac{9}{10}-\frac{3}{5}[/tex]

The above expression can be written as:

[tex]\frac{7}{8}m -\frac{8}{8}\times 2m + \frac{9}{10}-\frac{2}{2}\frac{3}{5}[/tex]

[tex]\frac{7-16m}{8}+\frac{9-6}{10}[/tex]

[tex]-\frac{9m}{8}+\frac{3}{10}[/tex]

Hence, the simplified form is [tex]-\frac{9m}{8}+\frac{3}{10}[/tex]

Answer:

The simplified expression is - 7/8 m + 3/10

​

Step-by-step explanation:

3 1/3 is the width of the given rectangle.

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

We can use the formula for the area of a rectangle, which is:

area = length x width

We are given the area as 20 square feet and the length as 6 feet. We can plug these values into the formula and solve for the width:

20 = 6 x width

Dividing both sides by 6, we get:

width = 20/6

Simplifying this fraction, we get:

width = 3 1/3 feet

Therefore, the width of the rectangle is 3 1/3 feet.

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Final answer:

To calculate the width of a rectangle when the area is 20 square feet and the length is 6 feet, you divide the area by the length to get the width, which is 3⅓ feet.

Explanation:

To find the width of a rectangle when the area and the length are given, you can use the formula for the area of a rectangle, which is Area = length × width. In this case, we are given the area (20 square feet) and length (6 feet), so we set up the equation:

20 square feet = 6 feet × width

To solve for the width, we divide both sides of the equation by the length (6 feet):

Width = 20 square feet ÷ 6 feet

Width = 3.3333 feet or 3⅓ feet

Therefore, the width of the rectangle is 3⅓ feet.