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Leto [7]
2 years ago
13

When 43,55 and 67 are divided by a certain number, the remainder is 7 in each case. Find the number? ​

Mathematics
1 answer:
siniylev [52]2 years ago
5 0

Answer:

12

Step-by-step explanation:

First subtract 7 from 43, 55 and 67

43 - 7 = 36 ;  55 - 7 = 48  ;  67 - 7 = 60

Now find the GCF of 36 , 48 , 60

36 = 2 * 2 * 3 * 3

48 = 2 * 2 * *2*2 * 3

60 = 2 * 2 * 3 * 5

GCF = 2 * 2 * 3 = 12

The required number is 12

When you divide 43 by 12, the remainder is 7.

When you divide 55 by 12, the remainder is 7

When you divide 67 by 12, the remainder is 7

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Use exterior angles to solve for interior angles.
Dmitry [639]

Answer:

I could be mistaken but I believe that x= 42.5

Step-by-step explanation:

To find this, you solve for 4x+10=180.

This is because the total angle measure of line RD should be 180 degrees.

When you solve this equation, you get 42.5 for X

8 0
3 years ago
The nearest perfect square that is less than 22 is
Andrew [12]

Answer:

16

Step-by-step explanation:

The square numbers are

1² = 1

2² = 4

3² = 9

4² = 16 ← this is the closest perfect square

5² = 25 (not applicable, over 22)

5 0
2 years ago
Solve the equation. 2/3 - 4x 7/2= -9x+ 5/6 step by step
Lostsunrise [7]

Answer:  \bold{x=\dfrac{11}{21}}

<u>Step-by-step explanation:</u>

\dfrac{2}{3}-\dfrac{4x+7}{2}=-9x+\dfrac{5}{6}\\\\(6)\dfrac{2}{3}-(6)\dfrac{4x+7}{2}=-9x(6)+(6)\dfrac{5}{6}\qquad \text{(multiplied by LCD) }\\\\4 - 12x-21=-54x+5\qquad \text{(simplified)}\\\\-12x - 17 = -54x + 5\qquad \text{(added like terms)}\\\\42x-17=5\qquad \text{(added 54x to both sides)}\\\\42x = 22\qquad \text{(added 17 to both sides)}\\\\x=\dfrac{22}{42}\qquad \text{(divided both sides by 42)}\\\\x=\dfrac{11}{21}\qquad \text{(reduced the fraction)}


NOTE: The sign between 4x and 7 is missing in the question you posted.  I assumed it was 4x + 7 in order to solve the equation.

6 0
3 years ago
Read 2 more answers
How do i divide and multiply rational expressions?
notka56 [123]

Answer:

To multiply rational expressions, first factor all numerators and denominators and cancel any factors you can. Then multiply what you have left.

Step-by-step explanation:

4 0
3 years ago
Mr. Parker has 982 pounds of grain. He feeds 240 pounds ro his pigs and 460 to his cows. How much grain does he have left
denpristay [2]

Starting amount: 982 pounds of grain

Since Mr. Parker fed 240 pounds of grain to his pigs, subtract 240 pounds from 982 pounds of grain.

982 - 240 = 742

After feeding pigs: 742 pounds of grain

Mr. Parker fed another 460 pounds of grain to his cows from his 742 pounds, so subtract 460 pounds from 742 pounds.

742 - 460 = 282

After feeding pigs and cows: 282 pounds of grain

Mr. Parker has 282 pounds of grain left.

3 0
3 years ago
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