All categories

3 years ago

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]3 years ago

5 0

Answer:

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

You might be interested in

2) 4 6 2 3 If L= | 5 8 and M= 1 4 3 -2 -5 3 3 Find L-M -)) 2 4 8 A ) 3 4 5 2 3 B) 4 4 8 -5 6 9 o 6 12 -2 1 6 6 2 D) 9 12 1

Misha Larkins [42]

$\\ \sf\longmapsto L-M$

Put values

$\sf \left[\begin{array}{cc}\sf 4&\sf 6\\ \sf 5 &\sf 8 \\ \sf 3 &\sf -2\end{array}\right]-\left[\begin{array}{cc}\sf 2&\sf 3\\ \sf 1 &\sf 4 \\ \sf -5&\sf3\end{array}\right]$

Just substract corresponding terms

$\\ \sf\longmapsto \left[\begin{array}{cc}\sf 2 &\sf 3\\ \sf 4&\sf4\\ \sf 8&\sf -5\end{array}\right]$

Option B

6 0

3 years ago

Anna is saving to buy a new cell phone. Her mother is helping Anna by contributing money each month. What is the ratio between t

Dmitry [639]

Answer:

Option D. 3:1, $120

Step-by-step explanation:

The complete question in the attached figure

Part 1) What is the ratio between the amount of money contributed by Anna and the amount contributed by her mother?

Let

x -----> the amount of money contributed by Anna

y ----> the amount of money contributed by her mother

we know that

Looking at the table

The value of x is equal to $x=\$30+\$60+\$90+\$120=\$300$

The value of y is equal to $y=\$10+\$20+\$30+\$40=\$100$

Find the ratio x/y

substitute the values

$\frac{x}{y}=\frac{300}{100}=\frac{3}{1}$

Part 2) What was the total amount saved in April?

we know that

To find out the total amount saved in April, adds Mon's contribution in April plus Anna's contribution in April

$(\$30+\$90)=\$120$

3 0

3 years ago

Read 2 more answers

5+15 divided by 3 x 4 to the third power

julia-pushkina [17]

Answer:

325

Step-by-step explanation:

5 0

3 years ago

$375, 319

frutty [35]

Answer:

need a answer

Step-by-step explanation:

7 0

3 years ago

The perimeter of a square is to be between 14 and 72 feet, inclusively. Find all possible values for the length of its sides. (&

xxMikexx [17]

We know that the perimeter is the all the sides added up together. Generally, you have $p = 2l+2w$ , where l is length and w is width.

For a square, all sides are of the same length, so you can write $p=4x$ , where x is any side.

If the smallest perimeter is 14, then $14 = 4x$ , so x is 3.5. If the largest perimeter is 72, then $72 = 4x$ , so x is 18.

Therefore, you have 3.5 ≤ x ≤ 18.

3 0

3 years ago

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

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