Answer:
-5 1/3 - 3 1/3
Step-by-step explanation
both expressions equal -8 2/3
Answer:
The amounts of three parts of the investment are 18000, 6000, 5000 respectively.
Step-by-step explanation:
An investment of $29,000 was made by a business club.
Let the amount of first and second investment be x and y respectively. So, the amount of third investment is (29000-x-y).
The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $ 2250.

On simplification we get



..... (1)
The interest from the first investment was 4 times the interest from the second.


.... (2)
From (1) and (2) we get



Divide both sides by 0.06.

Put this value in equation (2).
The amount of third investment is

Therefore the amounts of three parts of the investment are 18000, 6000, 5000 respectively.
Answer:
make25 men
Step-by-step explanation:
20 assembled 8 so divide 4 into 20 = 5
Divide 4 into 8 =2.
So it take 5 men to assemble 4
20 +5=25
Answer: w lesser than or equal to 4
Step-by-step explanation:
Dwight and Walt are building model cars.
Let d = the number of models built by Dwight.
Let w = the number of models built by Walt.
Dwight builds 7 fewer models than 4 times the number Walt builds. This can be expressed as
d = 4w - 7 - - - - - - - - - 1
Dwight builds at most 9 models. This is expressed as
d lesser than or equal to 9
From equation 1
d = 4w - 7
4w = d + 7
w = (d+7)/4
Assuming Dwight built 9 models
w = (9+7)/4 = 4
Therefore,
Walt builds at most 4 models. It is expressed as
w lesser than or equal to 4
It is shown in the attached photo
Answer:
The length = The width = The height ≈ 5.8 cm
Step-by-step explanation:
The volume of a rectangular pyramid, V = l × w × h
The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200
∴ l × h + w × h + l × w = 200/2 = 100
We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;
At maximum volume, l = w = h
∴ l × h + w × h + l × w = 3·l² = 100
l² = 100/3
l = 10/√3
Therefore, the volume, v = l³ = (10/√3)³
The length = The width = The height = 10/√3 cm ≈ 5.8 cm