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3 years ago

The circumference C of a circle with radius r can be calculated using the formula

Mathematics

1 answer:

Ymorist [56]3 years ago

3 0

Answer:

Step-by-step explanation:

Given

C = 2πr ( isolate r by dividing both sides by 2π )

$\frac{C}{2\pi }$ = r → D

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fluorescent powder comes in 20 G vials with 12 vials in a set, each vilal a different color. so if I order 3 sets I will have 3

Anna007 [38]

First you need to know how many cups of powder you are going to need for the 496 cups of paint you already have

$\begin{gathered} 1\text{ CUP POWDER}\Rightarrow5\text{ CUP PAINT} \\ x\text{ CUP POWDER}\Rightarrow496\text{ CUP PAINT} \end{gathered}$

We write this as a ratio

$\begin{gathered} \frac{x}{496}=\frac{1}{5} \\ x=\frac{496}{5} \\ x=99.2 \end{gathered}$

for the 496 cups of paint you will need 99.2 cups of powder.

Continue by seeing how may grams there are in 99.2 cups

$\begin{gathered} 60g\Rightarrow0.2536\text{ CUPS POWDER} \\ x\Rightarrow99.2\text{ CUPS POWDER} \end{gathered}$

write it as a ratio and solve for x again.

$\begin{gathered} \frac{x}{99.2}=\frac{60}{0.2536} \\ x=23470.03155 \end{gathered}$

now find how many vials you will need

$\begin{gathered} 1\text{vial}\Rightarrow20g \\ x\Rightarrow23470.03155g \end{gathered}$

write the ratio and solve

$\begin{gathered} \frac{x}{23470.03155}=\frac{1}{20} \\ x=\frac{23470.03155}{20} \\ x=1173.5\approx1174 \end{gathered}$

If each sets comes with 12 sets, write the ratio and find the number of sets you will need

$\begin{gathered} 1\text{set}\Rightarrow12vials \\ \text{xsets}\Rightarrow1174vials \end{gathered}$ $\begin{gathered} \frac{x}{1174}=\frac{1}{12} \\ x=\frac{1174}{12} \\ x=97.83\approx98 \end{gathered}$

you will need 98 sets for this amount of paint.

7 0

1 year ago

Waqas wishes to distribute 128 bananas and also 176 apples equally among a certain number of children. find the highest number o

atroni [7]

Answer:
The maximum number of children = 16

Explanation:
The greatest number of students who can get the fruit in this way (equally) will be equal to the highest common factor between the number of bananas and the number of apples.

Number of bananas = 128 = 2 * 2 * 2 * 2 * 2 * 2 * 2
number of apples = 176 = 2 * 2 * 2 * 2 *11

We can note that:
the highest common factor = 2 * 2 * 2 * 2
the highest common factor = 16

This means that the maximum number of children to get both equally is 16

Hope this helps :)

7 0

3 years ago

An article valued $120 was increased by 12%. determine the new value

KIM [24]

The new value would be $134.40; 1.12 times 120

3 0

3 years ago

Read 2 more answers

4x - 2 What is BC ? Enter your answer in the box. 8x - 4 5x + 11 units

arsen [322]

Is there a picture of the shape, and is 4x - 2 AC or AB?

7 0

3 years ago

Drag each measure to a box on the right to match the measure on the left. 5 feet10,560 feet48 inches126 inches 2 miles 123 yards

charle [14.2K]

Answer:

4 feets = 48 inches

2 miles = 10,560 feets

1 2/3 yards = 5 feets

3 1/2 yards = 126 inches

Step-by-step explanation:

Recall :

1 Feet = 12 inches

1 MILE = 5280 feets

1 yard = 36 inches

1 yard = 3 feets

If 1 feet = 12 inches

4 feets will be ; (12 * 4) inches = 48 inches

If 1 mile = 5280 feets

2 miles will be ; (5280 * 2) = 10,560 feets

If 1 yard = 3 feets

1 2/3 yards will be ; (5 /3) * 3 = 5 feets

If 1 yard = 36 inches

3 1/2 yards will be ; (7 /2 ) * 36 = 126 inches

8 0

3 years ago