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Katyanochek1 [597]
3 years ago
15

There is a list of seven numbers. The average of the first four numbers is 5, and the average of the last four numbers is 8. If

the average of all seven numbers is (6 + 4/7), find the number common to both sets of four numbers.
Mathematics
1 answer:
sammy [17]3 years ago
3 0

Answer:

6

Step-by-step explanation:

Sum of first 4 numbers= 4*5= 20

This includes 3 + 4th number

Sum of last 4 numbers= 4*8= 32

This includes 4th number + 3

Sum of 7 numbers= 7*(6+4/7)= 46

This includes 3+4th number +3

Number common to both sets= (20+32)- 46 = 6

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What is the length of DE?
Katyanochek1 [597]

Answer:

The answer would be 5 .

Bcoz in first Figure :-

12 - 9 = 3

Then ,

8 - 3 = 5

Step-by-step explanation:

<h2>Hope this helps you !! </h2>
3 0
2 years ago
Sac had a rope that was 15 feet long. He cut it into three pieces. The first piece was 3.57 feet longer than the second piece. T
harina [27]

Answer:

5.79 feet

Step-by-step explanation:

Let us represent

First piece = x

Second piece = y

Third piece = z

Sac had a rope that was 15 feet long.

x + y + z = 15

He cut it into three pieces.

The first piece was 3.57 feet longer than the second piece.

x = 3.57 + y

The third piece was 2.97 feet longer than the second piece.

z = 2.97 + y

How long was the third piece of rope?

x + y + z = 15

3.57 + y + y + 2.97 + y = 15

3y + 6.54 = 15

3y = 15 - 6.54

3y = 8.46

y = 8.46/3

y = 2.82 feet

Therefore, the length of the third piece z = 2.97 + y

z = 2.82 + 2.97

z = 5.79 feet

7 0
3 years ago
How do phospholipid molecules lead to the compartmentalization of a cell?
hjlf
Phospholipid molecules lead to the compartmentalization of a cell by <span>forming a barrier around it to keep everything separated</span>.
6 0
4 years ago
Read 2 more answers
A magic carpet is made with three colors of yarn. The ratio of each color in the carpet is shown below: 10 parts gold yarn 7 par
ioda

Answer:

There are 22.5 meters of silver yarn

Step-by-step explanation:

Gold yarn : bronze yarn : silver yarn

10 : 7 : 3

Gold yarn = 10

bronze yarn = 7

silver yarn = 3

Total ratio = 20

Total meters = 150 meters

How much silver yarn is in the magic carpet?

Quantity of silver yarn in the carpet = silver yarn ratio / Total ratio × total meters of yarn

= 3 / 20 × 150

= 450 / 20

= 22.5 meters

There are 22.5 meters of silver yarn

Bronze yarn = bronze yarn ratio / Total ratio × total meters of yarn

= 7 / 20 × 150

= 1,050 / 20

= 52.5 meters

Bronze yarn = 52.5 meters

Quantity of gold yarn in the carpet = gold yarn ratio / Total ratio × total meters of yarn

= 10 / 20 × 150

= 1500 / 20

= 75 meters

Gold yarn = 75 meters

7 0
3 years ago
A river is 212 mile long. What is the length of the river on a map, if the scale is 1 inch : 50 miles?
RoseWind [281]

Answer:

4.24 inches

Step-by-step explanation:

1 inch / 50 miles = x / 212 miles      Cross multiply

1 inch * 212 miles = 50 miles * x      Divide by 50 miles

1 inch * 212 miles / 50 miles = x

x = 4.24 inches.

How much is 0.24 of an inch?

0.24 * 50 = 12

So 0.24 inches represents 12 miles.

6 0
3 years ago
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