Answer:
see explanation
Step-by-step explanation:
Given
- 9 < x - 3 < 1 ( add 3 to each interval )
- 6 < x < 4
Thus integer values which satisfy the inequality are
x = - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3
Answer:
£30 and £24
Step-by-step explanation:
sum the parts of the ratio, 5 + 4 = 9 parts
Divide the amount by 9 to find the value of one part of the ratio
£54 ÷ 9 = £6 , then
5 parts = 5 × £6 = £30
4 parts = 4 × £6 = £24
Sam gets £30
Bethan gets £24
Answer:
$70
Step-by-step explanation:
$1,400* 5%* 1 year= 1,400* 0.05* 1=7 0
Answer:
24 and 21
Step-by-step explanation:
the ratio of their ages is 8 : 7 = 8x : 7x ( x is a multiplier )
In 6 years
8x + 6 : 7x + 6 = 10 : 9
Express the ratio in fractional form
= 
( cross- multiply )
9(8x + 6) = 10(7x + 6) ← distribute parenthesis on both sides
72x + 54 = 70x + 60 ( subtract 70x from both sides )
2x + 54 = 60 ( subtract 54 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Thus
Tony = 8x = 8 × 3 = 24
Vihaan = 7x = 7 × 3 = 21
The answer is <span>3,200 in.3
The volume of the rectangle (V) with length l, width w, and height h is:
V = l * w * h
If you want to fill </span><span>the aquarium until you have a 2-inch gap between the top of the water level and the top of the aquarium, then the height of the water space is 2 inches smaller than the height of the aquarium. Therefore:
l = 20 in
w = 10 in
h = 18 in - 2 in = 16 in
The volume of the water is:
V = 20 * 10 * 16 = 3,200 in</span>³
