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vladimir2022 [97]
2 years ago
5

Margo is 8 years older than her brother Dan. The sum of their ages is 56. How old is Dan?

Mathematics
1 answer:
daser333 [38]2 years ago
5 0

Answer:

dan is 24

I had to redo this one

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Use the formula to determine the area of squares with side lengths of 3 cm, 10.5 cm, and π cm.
Nataliya [291]

Answer:

For length of side = 3 cm

Area of the square = 9 cm²

For length of side = 10.5 cm

Area of the square =  110.25 cm²

For length of side = π cm

Area of the square = 9.869 cm²

Step-by-step explanation:

The area of a square is given as :

Area = Side²

therefore,

For length of side = 3 cm

Area of the square = ( 3 cm )² = ( 3 × 3 ) cm² = 9 cm²

For length of side = 10.5 cm

Area of the square = ( 10.5 cm )² = ( 10.5 × 10.5 ) cm² = 110.25 cm²

For length of side = π cm

Area of the square = ( π cm )²  

= ( π × π ) cm²                

= 3.14² cm²                                [π = 3.14]

= 9.869 cm²

8 0
3 years ago
Factor the expression using the GCF 21+15
Svet_ta [14]

Answer:

3(7+5)

Step-by-step explanation:

21+15

Each term is divisible by 3

3*7 +3*5

3(7+5)

6 0
3 years ago
Will someone plz help me this us due and I am confused
mihalych1998 [28]

Hey there! I would love to help you.

Question 1: In both questions, we have to find the repeating decimal as a fraction. There is a specific way to find the fraction given a repeated decimal. In our equation, our variable x will represent the fraction.

x=0.272727....

If you know how too solve systems of equations by elimination, we need to to do something similar to eliminate all of the repeating parts so we can solve for x.

We need to make this a number greater than zero but line up the digits so that we can eliminate every single repeating digit.

To do this, we move the digit as many times to the right as there are digits that repeat. In this case, there are two repeating digits, so we multiply the whole equation by 100.

100x=27.2727...

Now, we can subtract the first equation from the second  so that the repeating parts are removed and we can then solve for x and find our fraction.

99x=27

Now, we solve for x.

x=27/99

Now we subtract this from the first fraction.

11/6-27/99= 1 37/66

To make this into a repeating decimal, we just divide the numerator by the denominator.

1.560606060...

As we can see, the 60 is repeating, so the answer is the second option on the first one.

Question 2: In this case, we have two repeating decimals. Let's solve for them both. Because we have a digit after the decimal that does not repeat, we need to move it before we subtract.

10x=4.090909...

We need to line up the decimals, and in this case we need to multiply by 1000.

990x=409.090909...

Now we subtract...

990x=405

We solve...

x=9/22

Now we do the other one.

10x=6.81818181...

We multiply by 100 to line up the decimals for subtraction.

1000x=681.8181....

We subtract...

990x=675

x=15/22

Now, we add our fractions.

24/22 or 1 2/22

Now we turn it back into a repeating.

24/22= 1.09090909...

For this question, select the second option.

I hope this helps!

7 0
3 years ago
Prove theorems about triangles
Aleks04 [339]
  • Answer & step-by-step explanation:

<em>a) impossible</em>

<em>b)  the sum of the angles in a triangle is 180°</em>

<em>63° + 59° + 57° = 179°</em>

3 0
3 years ago
A​ cold-water faucet can fill a sink in 1212 ​min, and a​ hot-water faucet can fill it in 1515 min. The drain can empty the sink
sweet-ann [11.9K]

Answer:

9.1 minutes.

Step-by-step explanation:

Let t represent time taken to fill the tank.

We have been given that a cold water faucet can fill a sink in 12 ​min, so the part of sink filed in 1 minute would be \frac{1}{12}.

The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be \frac{1}{15}.

The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be \frac{1}{25}.

The part of 1 full tank filled in t minutes, when both faucets are on and the drain is​ open would be:

(\frac{1}{12}+\frac{1}{15}-\frac{1}{25})t=1

Make a common denominator:

(\frac{1*25}{12*25}+\frac{1*20}{15*20}-\frac{1*12}{25*12})t=1

(\frac{25}{300}+\frac{20}{300}-\frac{12}{300})t=1

(\frac{25+20-12}{300})t=1

\frac{33}{300}t=1

\frac{11}{100}t=1

\frac{100}{11}\times \frac{11}{100}t=\frac{100}{11}\times1

t=\frac{100}{11}

t=9.0909

t\approx 9.1

Therefore, it will take 9.1 minutes to fill the sink.

4 0
3 years ago
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