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Umnica [9.8K]
3 years ago
13

What is the value of x in 2/3 =x/12

Mathematics
1 answer:
____ [38]3 years ago
7 0

Answer:

8

Step-by-step explanation:

You must find a common denominator

Because 12 is four times the integer three, you have to multiply two by four as well, to have a common denominator.

so (2/3)*4 = 8/12

This means that 8/12 = x/12, giving you your answer.

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-Find the area of Mr. Gonzalez's classroom garden
Sati [7]

Answer:

Step-by-step explanation:

We can find the area by breaking this into two rectangles one 3 by 7 and the other 1 by 2. The area of any rectangle is xy where x and y are its dimensions

A=3(7)+1(2)

A=21+2

A=23 yd^2

6 0
3 years ago
Read 2 more answers
There are some goats, cows and, sheep. 2/5 of the animals were goats. There were three times as many sheep than cows. If there w
kobusy [5.1K]

Answer:

81 sheep were there on the farm

Step-by-step explanation:

Consider the provided information.

Let x represents the number of goats.

y represents the number of cows.

z represents the number of sheep.

Therefore, the total number of animals are x+y+z

2/5 of the animals were goats. This can be written as:

\frac{2}{5}(x+y+z)=x

There were three times as many sheep than cows.

z=3y

There were 45 more goats than cows,

x=45+y

Substitute the value of x and z in equation 1.

\frac{2}{5}(45+y+y+3y)=45+y

\frac{2}{5}(45+5y)=45+y

2(9+y)=45+y

18+2y=45+y

y=27

Hence, there are 27 cows.

Substitute the value of y in x=45+y

x=45+27

x=72

Therefore, there are 72 goats.

Substitute the value of y in z=3y

z=3(27)

z=81

Thus, there are 81 sheep.

6 0
3 years ago
If p and q are all positive integers and the maximum integer not greater than
garik1379 [7]

Answer:

  • 71

Step-by-step explanation:

<u>As per question we have:</u>

  • p > 0, q > 0
  • 31p/8q ≤ 5 ⇒ 31p ≤ 40q

Since 31 and 40 have no common factors, the minimum values of p and q are 40 and 31 respectively.

<u>So the minimum value of p + q is:</u>

  • 40 + 31 = 71

3 0
3 years ago
You went to the barber to get your hair cut. The haircut cost $30. You tipped the barber 20%. How much money did you give the ba
Rashid [163]

Answer:

Tip $6

Total Amount $36

Step-by-step explanation:

20% of $30 is 6

$30 + $6 = 36

7 0
3 years ago
Consider the expression 40 + 24. Find the greatest common factor of the two numbers, and rewrite the expression using distributi
serg [7]

Answer:

40 + 24 = 8(5 + 3)

Step-by-step explanation:

Consider the expression 40 + 24. Find the greatest common factor of the two numbers, and rewrite the expression using distributive property

Step 1

We find the GCF

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

Then the greatest common factor is 8.

Step 2

Rewriting the expression using distributive property.

The factors of 40 and 24 that would give us the sum of 8 is given as 5 and 3

Therefore, using Distributive property

40 + 24 = 8(5 + 3)

5 0
3 years ago
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