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3 years ago

The area of a circle is 31.4 cm^2 what’s the radius

Mathematics

1 answer:

Scrat [10]3 years ago

8 0

A=(pi)(r^2)=(3.14)(r^2)=31.4
R^2=10
R=square root of 10

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Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 mph faster than Charlene. They meet in

Thepotemich [5.8K]

Answer:

34 mph.

Step-by-step explanation:

Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.

Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.

Now we will use formula $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$ . Upon using our given information we will get two equation and two unknowns as:

$x+16=\frac{420-y}{5}...(1)$

$x=\frac{y}{5}...(2)$

Upon substituting $x=\frac{y}{5}$ in 1st equation we will get,

$\frac{y}{5}+16=\frac{420-y}{5}$

Upon multiplying both sides of our equation by 5 we will get,

$5(\frac{y}{5}+16)=420-y$

$5\times\frac{y}{5}+5\times 16=420-y$

$y+80=420-y$

$y+80+y=420-y+y$

$2y+80=420$

$2y=420-80$

$2y=340$

$y=\frac{340}{2}$

$y=170$

Upon substituting y=170 in 2nd equation we will get,

$x=\frac{170}{5}$

$x=34$

Therefore, Charlene's speed is 34 miles per hour.

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1. The number of sample size 1 jelly beans in a 2-liter jar is <u>645</u>.

2. The number of sample size 2 jelly beans in a 2-liter jar is <u>640</u>.

3. The number of sample size 3 jelly beans in a 2-liter jar is <u>637</u>.

<h3>What is a mathematical operation?</h3>

A mathematical operation is an expression involving the use of mathematical operands and operators to compute values.

Mathematical operations use variables, numbers, and operators (addition, subtraction, division, and multiplication).

<h3>Data and Calculations:</h3>

Total weight = 1,150g

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The total weight of the jelly beans = 710g (1,150 - 440)

Sample Size 1: the number of jelly beans = 645 (710/22.0 x 20)

Sample Size 2: the number of jelly beans = 640 (710/22.2 x 20)

Sample Size 3: the number of jelly beans = 637 (710/22.3 x 20)

Thus, the number of jelly beans in a 2-liter jar depends on the sample size of the jelly beans.

Learn more about mathematical operations at brainly.com/question/20628271

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