Answer:
45
Step-by-step explanation:
35%=0.35
0.35x=17.5
x=17.5/0.35=50
90%=0.9
0.9*50=45
Answer:
The volume of soil in Darren's planter box is 56 feet³
Step-by-step explanation:
The formula of the volume of a rectangular box is V = l × w × h, where l is its length , w is its width and h is its height
∵ Darren's planter box is seven feet long and four feet wide
∴ l = 7 feet
∴ w = 4 feet
<em>The volume of the soil is equal to the volume of the box using the height of the soil, because the soil takes the shape of the box, so they have the same dimensions of the base</em>
∵ Darren fills the planter box with soil to a height of two feet
∴ h = 2 feet
- Substitute the values of l, w and h in the formula of the volume
∵ V = 7 × 4 × 2
∴ V = 56 feet³
The volume of soil in Darren's planter box is 56 feet³
Answer:
120
240
Step-by-step explanation:
We call the length of first part x
Length of second part = y
In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.
So,
We have this equation,
x/4 + y/3 = 110
We take the LCM
(3x + 4y)/12 = 110
When we cross multiply
3x + 4y = 110x12
3x + 4y = 1320 ----- equation 1
For scenario 2
x/3 + y/4 = 100
When we take the LCM
(4x + 3y)/12 = 100
We cross multiply
4x + 3y = 100x12
4x + 3y = 1200 ------ equation 2
We now have two equations and we will solve for x and y using simultaneous linear equation.
3x + 4y = 1320 ----- 1
4x + 3y = 1200 ----- 2
We subtract equation 2 from 1 to get
- x + y = 120
We make y subject
y = x + 120 ----- 3
We put the value of y in equation 3 into equation 1
3x + 4(x + 120) = 1320
3x + 4x + 480 = 1320
7x + 480 = 1320
7x = 1320-480
7x = 840
We divide through by 7
x = 840/7
x = 120
We put value of x in equation 3
y = x + 120
y = 120 + 120
y = 240
120 and 240 are the lengths of the 2 parts of the journey.
Thanks
Answer:
19.29%
Step-by-step explanation:
Given
Population in 1990
= 254000000
Population in 2014
= 303000000
Increase = 303000000 - 254000000
= 49000000
% increase in population =
Increase /initial population x 100%
That’s
49000000/254000000 x 100%
0.1929 x 100%
19.29%
The population increased by 19.29%
Answer: x=32
Step-by-step explanation:
Because a triangle is 180°, the missing angle in the triangle would be 60°.
Because of the 30°-60°-90° angles theorem, The side opposite 90° is double the side opposite 30°, which means that x=32.
