Answer: A - 30 cubes
B - Volume of prism = feet³
Step-by-step explanation: We are given that the dimensions of the rectangualr prism is,
Length = = feet
Width = 1 foot
Height = = feet
Thus, the volume of the prism = Length × Width × Height
i.e. Volume of the prism = × 1 × = feet³
Now, the side of the cube = foot each.
Volume of the cube = = feet³
Hi there! The answer is 15 minutes.
Walking 4 miles per hour means that it takes you 60 minutes to walk 4 miles. To find the time it takes you to walk 1 mile, we must divide both sides by 4.
4 miles equals 60 minutes.
1 mile equals 60 / 4 = 15 minutes.
The answer is 15 minutes.
2.1 is already in a decimal form.
Hope I helped!
Answer:
(x, y) = (- 2, 5)
Step-by-step explanation:
given the 2 equations
3y = 11 - 2x → (1)
3x = y - 11 → (2)
Rearrange (2) expressing y in terms of x
add 11 to both sides
y = 3x + 11 → (3)
Substitute y = 3x + 11 into (1)
3(3x + 11) = 11 - 2x
9x + 33 = 11 - 2x ( add 2x to both sides )
11x + 33 = 11 ( subtract 33 from both sides )
11x = - 22 ( divide both sides by 11 )
x = - 2
Substitute x = - 2 in (3) for corresponding value of y
y = (3 × - 2) + 11 = - 6 + 11 = 5
As a check
substitute x = - 2, y = 5 into (1) and (2) and if the left side equals the right side then these values are the solution.
(1) : left side = (3 × 5) = 15
right side = 11 - (2 × - 2) = 11 + 4 = 15 ⇒ left = right
(2) : left side = (3 × - 2 ) = - 6
right side = 5 - 11 = - 6 ⇒ left = right
solution = (- 2, 5 )
In order to get rid of the fractions, you need to multiply the equation by 12
