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2 years ago

If the product of some number and three is increased by 24 the result is five times the number find the number

Mathematics

1 answer:

rodikova [14]2 years ago

6 0

Answer:

The Answer is: 12.

Step-by-step explanation:

Let n = number.

The number times three plus 24 is equal to five times the number.

3n + 24 = 5n

24 = 5n - 3n

2n = 24

n = 12

Proof:

3(12) + 24 = 36 + 24 = 60

5(12) = 60

Hope this helps! Have an Awesome Day!! :-)

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And you can drive 450 miles on 18 gallons of gas how far can you travel on one gallon

yulyashka [42]

Hello!

To find the amount of miles a car can drive with one gallon, divide the total miles by the amount of gallons it takes to drive that specific amount of miles.

450 miles / 18 gallons = 25 miles per gallon

Therefore, you can drive 25 miles with one gallon of gas.

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3 years ago

A bowl contains blueberries and strawberries. There are a total of 48 berries in the bowl. The ratio of blueberries to strawberr

Dvinal [7]

Answer:

a. 36 blueberries and 12 strawberries

b. 16 blueberries and 4 strawberries

Step-by-step explanation:

The computation of each berry in the bowl is shown below;

a. Total 48 berries

The Ratio of blueberries to strawberries is 9:3

So, the blueberries is = 48 × 9 ÷ (9 + 3) = 36

And, the strawberries is = 48 × 3 ÷ (9 + 3) = 12

b. Total 20 berries

The Ratio of blueberries to strawberries is 4:1

So, the blueberries is = 20 × 4 ÷ (4 + 1) = 16

And, the strawberries is = 20 × 1 ÷ (4 + 1) = 4

6 0

2 years ago

Colin invests £3900 into his bank account.

zloy xaker [14]

Answer:

Colin will have 421824 pennies after 2 years

Step-by-step explanation:

Given:

Amount invested in bank by Colin (P) = £3900

Rate of interest (r) = 4%

Time period (n) = 2 years

To find: Amount after 2 years (A)

Solution:

Formula for amount (A) is $A=P\left ( 1+\frac{r}{100} \right )^n$

$A=3900\left ( 1+\frac{4}{100} \right )^2\\=3900\left ( 1+\frac{1}{25} \right )^2\\=3900\times \frac{26}{25}\times \frac{26}{25}\\=4218.24$

As 1 pound = 100 pennies,

4218.24 pounds = 4218.24 × 100 = 421824 pennies

So,

Colin will have 421824 pennies after 2 years.

4 0

2 years ago

Which point represents an approximate solution to this system of equations?

joja [24]

The answer is D. (2.9,-22.8)

5 0

3 years ago

Read 2 more answers

In a group of 15 children the ratio of the boy : the girl is 2: 3: 5 more girls join the group. Calculate the percentage of boys

marta [7]

Answer:

Percentage of new group boys = 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 10%

Step-by-step explanation:

Given:

Number of children = 15

Ratio (Boys to Girls) = 2 : 3

Number of more girls join = 5

Find:

Percentage of boys in new group

Percentage decrease for the boys

Increase percent of the girls

Computation:

Number of boys = 15[2/5]

Number of boys = 6

Number of girls = 15[3/5]

Number of girls = 9

Percentage of boys = [6 / 15]100

Percentage of boys = 40%

Percentage of girls = [9 / 15]100

Percentage of girls = 60%

New number of students = 15 + 5

New number of students = 20

New number of boys = 6

New number of girls = 9 + 5 = 14

Percentage of new group boys = [6 / 20]100

Percentage of new group boys = 30%

Percentage of new group girls = [14 / 20]100

Percentage of new group girls = 70%

Percentage decrease for the boys = 40% - 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 70% - 60%

Increase percent of the girls = 10%

8 0

3 years ago