The correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?

let
x-------> the length of the base of the rectangular prism
y-------> the width of the base of the rectangular prism

we know that
volume of the prism=area of the base*height
volume=48 ft³
height of the prism=3/4 ft

area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft²

area of the base=64 ft²
area of the base=x*y
64=x*y--------> equation 1

y=x+2--------> equation 2

substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x²+2x------> x²+2x-64=0

using a graph tool----> to resolve the second order equation
see the attached figure

the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft

the answer is
the length of the base of the rectangular prism is 7.062 ft
the width of the base of the rectangular prism is 9.062 ft

4 0

3 years ago

The probability that a traffic light will be green is 40%. If you pass through 3 lights on your way to the store, what is the pr

larisa [96]

Answer:

0.216

Step-by-step explanation:

If the probability of green, P(green) is 40%, the probability of red, P(red) is 60%.

The probability of a light being red is not affected by the colour of the previous light, so at each of the 3 lights, the probability of red is always 60%.

To find the probability that all three lights will be red, multiply the three probabilities together. (Convert them to decimals first).

0.6 x 0.6 x 0.6 = 0.216

7 0

3 years ago

A retired couple has up to $50,000 to invest. As their financial adviser, you recommend that they place at least $35,000 in Trea

patriot [66]

Answer:

See Explanation

Step-by-step explanation:

According to the Question,

Given that, A retired couple has up to $50,000 to invest. As their financial adviser, you recommend that they place at least $35,000 in Treasury bills yielding 1% and at most $10,000 in corporate bonds yielding 3%.

Therefore,

Let, x be the amount of money invested in Treasury bills

y be the amount invested in corporate bonds

Thus, the system of equations of linear inequalities is

x + y ≤ 50000

x ≥ 35000

0 ≤ y ≤ 10000

For, the graph of the system of equations of linear inequalities describes the possible amounts of each investment.

(Please find in the attachment)

3 0

3 years ago

during a 5-year period, 35% storms caused a power out. 39 of the storms didnt. find the total number of storms over the 5-year p

Kay [80]

.65x=39
x=39/.65=60 just solve it as algebra

4 0

3 years ago