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3 years ago

A circle has radius of 5cm and a circumference of 31.4. if the radius is doubled, what is the new circumference, in centimeters

Mathematics

1 answer:

pychu [463]3 years ago

7 0

Radius doubled = 10
Diameter = 20
Circumference = 3.14×20
= 62.8 cm

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Which ordered pair (x, y) is a solution to given system of linear equations?

patriot [66]

Answer:

$(\frac{1}{6}, \frac{1}{2})$ or $(0.167,0.5)$

Step-by-step explanation:

Given

$3x + y =1$

$15x + y = 3$

Required

Determine the solution

We'll solve using elimination method.

Subtract the first equation from the second:

$15x + y = 3$

$3x + y =1$

$--------$

$15x - 3x + y - y = 3 - 1$

$15x - 3x = 3 - 1$

$12x = 2$

Make x the subject:

$x = \frac{2}{12}$

$x = \frac{1}{6}$

$x =0.167$

Substitute $\frac{1}{6}$ for x in the first equation

$3x + y =1$

$3(\frac{1}{6}) + y = 1$

$\frac{1}{2} + y = 1$

Make y the subject

$y = 1 -\frac{1}{2}$

$y = \frac{2-1}{2}$

$y = \frac{1}{2}$

$y = 0.5$

Hence, the solution is:

$(\frac{1}{6}, \frac{1}{2})$ or $(0.167,0.5)$

8 0

2 years ago

Suppose the required reserve ratio is 20 percent. If banks are conservative and choose not to loan all their excess reserves, th

maria [59]

Answer:

Option B

Step-by-step explanation:

Given that the required reserve ratio is 20 percent.

Since banks are conservative they choose not to loan all their excess reserves

i.e. only 20% of deposits is kept as reserve and 80% lent.

This 80% will again be deposited in a bank and 80% of 80 i.e.64% would be lent. Thus this will form a geometric progression infinitely as

deposits $= 1+0.8 + 0.8^2 +0.8^3+...$ with common ratio 0.8<1

Hence infinite sum = $\frac{a}{1-r} =\frac{1}{1-0.8} \\=5$

So deposit multiplier is B) equal to 5

5 0

3 years ago

Work out the area of the shaded shape.

CaHeK987 [17]

The answer would be 61m^2

5x11=55
8-5=3
11-9=2
2x3=6
6+55=61

and since it is the area it is squared
hope this helps

5 0

2 years ago

It cost Jodi $44.88 to buy 12 gallons of gas. What was the cost per gallon of gas?

kolbaska11 [484]

Answer: just divide 44.88 by 12 so you will get 3.74

Step-by-step explanation:

7 0

2 years ago

A 4.5 kg cat requires medication at a dose rate of 5 mg/kg once daily for the next 7 days. The tablets are available in 10 mg st

Marta_Voda [28]

Answer:

Approximately 16 tablets of medicine

Step-by-step explanation:

Based on the information above , we can use a Rule of Three to first figure out how many mg the cat would need to ingest per day.

$\frac{5mg}{1kg} = \frac{x}{4.5kg}$

$\frac{5mg*4.5kg}{1kg} = 22.5mg$

Now we see that the cat needs to take a daily dose of 22.5mg. Since the Tablets come at a strength of 10 mg per tablet then,

$22.5 / 10 = 2.25$

The cat would need to take 2.25 tablets per day. Since she needs to take the dose for the next 7 days then,

$2.25 * 7 = 15.75$

She would need to take approximately 16 tablets of medicine during the week .

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0

3 years ago