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2 years ago

Two numbers are in the ratio 7 : 4 . If their difference is 18, then find the numbers.

Mathematics

2 answers:

ASHA 777 [7]2 years ago

7 0

Answer:

x = 24

. So, first number = 7 * 24 = 168. and second number = 4 * 24 = 96. Therefore the numbers are 168 and 96.

RoseWind [281]2 years ago

6 0

Answer:

42 and 24

Step-by-step explanation:

The numbers in ratio 7 : 4 = 7x : 4x ( x is a multiplier ) , then

7x - 4x = 18 ( difference of 2 numbers is 18 )

3x = 18 ( divide both sides by 3 )

x = 6

Then

7x = 7 × 6 = 42

4x = 4 × 6 = 24

The numbers are 42 and 24

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The scale used on a map is 5 millimeters represents 32 kilometers. How many millimeters represent 160 kilometers?

goblinko [34]

160/32= 5

5*5= 25 mm

25 mm is how many millimeters represents the kilometers.

I hope this helps!
~kaikers

7 0

2 years ago

Assume the world catch of fish in 1950 was 12 million tons and in 1955 it was 96 million tons.

Rama09 [41]

The rate of change is 16.8 million tons per year

Solution:

Given that, the world catch of fish in 1950 was 12 million tons and in 1955 it was 96 million tons

The average rate of change is given by formula:

$\text{ Average rate of change } = \frac{\text{ change in value }}{\text{ number of years }}$

Value in 1950 = 12 million tons

Value in 1955 = 96 million tons

Change in value = value in 1955 - value in 1950

Change in value = 96 million - 12 million = 84 million tons

Number of years = 1950 to 1955 = 5 years

Substitute the given values in formula,

$\text{ Average rate of change } = \frac{84 \text{ million tons}}{5} = 16.8 \text{ million tons}$

Thus rate of change is 16.8 million tons per year

5 0

2 years ago

The length of a rectangle is 6 yards more than 8 times the width. The perimeter is 102 yards. Find the length and width.

dalvyx [7]

L•w=102
l=8w+6
8w+6•w=102
9w+6=102
102-6=96
9w=96
96/9= 10.67
Width is 10.67 yards

4 0

2 years ago

You are knitting a blanket. You want the area of the blanket to be 24 ft². You want the length of the blanket to be 2 feet longe

Finger [1]

With the facts you got here, you can make the following equation:

x*(x+2)=24

x^2+2x=24
x^2+2x-24=0

Then you can use the following formula (which you might have seen before):
x = (-b +/- sqrt(b^2-4ac))/2a

where
ax^2+bx+c=0

(-2 +/- sqrt(4+96))/2
(-2 +/- 10)/2

x_1 = 4
x_2 = -6

3 0

3 years ago

Solve the linear system by graphing y = x - 1 y =3x - 9

Zielflug [23.3K]

I think is
y = x - 1y = 3x - 9
y - y = x - 3x = -9
0 = - 2x = - 9

4 0

2 years ago