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svlad2 [7]
3 years ago
6

Simplify x + 1/2 (x-5) =20

Mathematics
1 answer:
Aneli [31]3 years ago
5 0

Answer: x=15

Step-by-step explanation: Let's solve your equation step-by-step.

x+ 1 /2

(x−5)=20

Step 1: Simplify both sides of the equation.

x+ 1 /2

(x−5)=20

x+( 1 /2 )(x)+( 1 /2 )(−5)=20(Distribute)

x+ 1 /2

x+  −5 /2 =20

(x+ 1 /2 x)+( −5 /2 )=20(Combine Like Terms)

3 /2 x +  −5 /2 =20

3 /2 x +  −5 /2 =20

Step 2: Add 5/2 to both sides.

3 /2 x +  −5 /2  +  5 /2 =20+ 5 /2

3 /2 x=  45 /2

Step 3: Multiply both sides by 2/3.

( 2 /3 )*( 3 /2 x)=( 2 /3 )*( 45 /2 )

x=15

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Find the area of a circle if its circumference is 10 pi
AleksandrR [38]

Answer:

25π

Step-by-step explanation:

pi's symbol is π, which will be used sometimes to make it easier later

The circumference is equal to diameter multiplied by pi. (Diameter is the length across the circle, radius the center of the circle to an edge point aka. half the diameter, and circumference is the edge length aka. perimeter of the circle.)

We can then remove the pi off the 10, as the diameter multiplied by pi is the circumference, so the diameter is 10.

Half of 10 is 5, the radius.

The formula for area of a circle is radius squared times pi, remember easily by π r ^2

We can plug in the radius into the formula to get

π 5 ^2

And finish it by solving the square root to get

π 25

25π

8 0
2 years ago
Let X be a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal prob
Akimi4 [234]

Answer:

Yes. Have the same distribution.

Step-by-step explanation:

Given that X is a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal probabilities).

Y is the next day after X

So Y can be written as X+1

But since highest value is 7, we can write

Y = X+1 mod 7

i.e. whenever X=7, Y= 8= 1 again.

Thus Y can take values as

Y  1   2   3   4   5   6   7

P(Y) = P(X+1) = 1/7

i.e. Y also has the same distribution as X

3 0
3 years ago
Esther has a farm.
Gnesinka [82]

Here, we are required bro determine how many worker Esther needs to employ to pick the same 600kg of onions in 3 hours as compared to 4 hours from last year.

This year, she needs to employ 32 workers to pick a total of 600kg of onions in 3 hours.

According to the data given, the total quantity of onions to be picked still remains 600 kg as from last year, only that she needs it done in 3 hours now.

Therefore,

  • Since 24 workers finished the work in 4 hours,
  • This means that 96 workers are needed to finish the work in 1 hour( from 24×4 = 96).

Therefore, since the work needs to be done in 3 hours this year, This means that it can be shared between X no. of workers.

  • Where X = 96/3= 32

Therefore, this year she needs to employ 32 workers to pick a total of 600kg of onions in 3 hours.

Read more:

brainly.com/question/3796978

4 0
2 years ago
Steve's sister is 25 years old. her age is 5 years more than 4 times his age.
Virty [35]

Answer:

Steve is 5

Step-by-step explanation:

Steves sister is 25, she is 5 years more than 4 times steve is.

5 * 4 = 20 and the sister is 5 years older so,

Steve is 5

6 0
3 years ago
What number is 25% of 4/7 <br><br> WITH WORK<br><br> ASAP
valina [46]
The answer is 1/7 and can be explained mathematically in the picture

3 0
3 years ago
Read 2 more answers
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