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2 years ago

My favorite recipe for lemonade calls for 4 cups of water to 3/4 cups sugar. How

Mathematics

1 answer:

Nikolay [14]2 years ago

8 0

Answer and Step-by-step explanation:

To find the unit rate, divide the 4 cups of water and the $\frac{3}{4}$ cups sugar by 4 to get a unite rate for 1 cut of water.

4 divided by 4 equals 1.

$\frac{3}{4}$ divided by 4 equals $\frac{3}{16}$ .

Now, we multiply $\frac{3}{16}$ by 6.

$\frac{9}{8}$ is how many cups of sugar that needs to be measured for 6 cups of water.

#teamtrees #PAW (Plant And Water)

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Your friend's swimming pool is in the shape of a rectangular prism, with a length of 25 feet, a width of 8 feet, and a height of

RUDIKE [14]

Answer:

Part a) $V=1,000\ ft^{3}$

Part b) $h=5\ ft$

Part c) $=718\ gal$

Step-by-step explanation:

Part a) What is the volume of your friend's swimming pool?

we know that

The volume of a rectangular prism is equal to

$V=LWH$

substitute the values

$V=(25)(8)(5)=1,000\ ft^{3}$

Part b) Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool?

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$V=1,000\ ft^{3}$

$r=16/2=8\ ft$ ----> the radius is half the diameter

substitute and solve for h

$1,000=\pi (8)^{2} h$

$h=1,000/(64 \pi)$

$h=1,000/(64*3.14)=5\ ft$

Part c) While you were on vacation, 6 inches of water evaporated from your pool. About how many gallons of water evaporated from your pool?

remember that

$1\ ft=12\ in$

$6\ in=6/12=0.5\ ft$

Find the volume of water for $h=5-0.5=4.5\ ft$

$V=(3.14)(8)^{2}(4.5)=904.32\ ft^{3}$

the volume of water evaporated is equal to

$1,000\ ft^{3}-904.32\ ft^{3}=95.68\ ft^{3}$

convert to gallons

remember that

$1\ ft^{3}=7.5\ gal$

$95.68\ ft^{3}=95.68*7.5=718\ gal$

5 0

3 years ago

What is the equation in the slope intercept form of the line that passes through the point (2,-2) and is perpendicular to the li

Igoryamba

Answer:

Step-by-step explanation:

The slope is 2/5 and the slope of the new line will be -5/2 because the negative reciprocal creates a perpendicular line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y--2)=-5/2(x-2)

y+2=-5/2x+10/2

y=-5/2x+5-2

y= -5/2x+3

5 0

3 years ago

Read 2 more answers

Simplify:- ~~~~~~~

Alchen [17]

$\sf \dashrightarrow \: - \frac{2}{5} - ( - \frac{3}{10} ) - ( - \frac{4}{7} )$

When there is a - in front of an expression in parentheses, change the sign of each term in the expression to +

$\sf \dashrightarrow \: - \frac{2}{5} + \frac{3}{10} + \frac{4}{7}$

Calculate the LCM of denominators

$\sf\frac{ - 28 + 21 + 40}{70}$

Calculate the difference

$\bf \underline{ \underline \frac{33}{70} }$

7 0

2 years ago

Read 2 more answers

Ms. Chen is planning to take her camp group on a field trip to Pottery Bayou where each person will create her own piece of art

erica [24]

Answer:

1. $C=21x.$

2. $C=(8x+104).$

Step-by-step explanation:

Let the number of people in the group be x. Denote the total cost as C.

1. If the regular cost is $21 per person, then the total regular cost for x people is $C=21x.$

2. If the special cost is $8 per person, then the total special cost for x people is $\$8x.$ There is an additional $104 fee for a private room, thus the total special cost is $C=(8x+104).$

3 0

3 years ago

Please choose answer choice a,b,c or d

dmitriy555 [2]

Answer:

A. -4

Step-by-step explanation:

Slope is rise over run, or y2-y1 / x2-x1.

$\frac{y2-y1}{x2-x1} = \frac{-4-8}{2--1} =\frac{-12}{3} = -4$

The slope is A. -4.

Let's see--does that make sense? A slope of four would be pretty steep, and that matches the graph. It also should be negative because the line goes down and to the right, not up and to the right, so -4 makes sense!

4 0

3 years ago