Write the fraction as a mixed number in the simplest form.
62/7

Answers

Answer 1

Answer: $(62)/(7)=(56+6)/(7)=(56)/(7)+(6)/(7)=8+(6)/(7)=8(6)/(7)$

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A cuboid has 3 different sized faces. The areas of 2 of the faces are 84cm2and 56cm2. The volume of the cuboid is 672cm3. Find the length, width and height of the cuboid and the area of the third face.

Answers

Answer:

Length: 12 cm

Width: 8 cm

Height; 7 cm

Step-by-step explanation:

We are told that the areas of 2 of the faces are 84cm² and 56cm².

Now, the side faces are 4 in total with 2 each having same areas.

Thus, it means they would have the same height.

Let's find the highest common factor between 84cm² and 56cm².

The highest number that can be divide each equally is 7.

Thus;

12 × 7 = 84 cm²

8 × 7 = 56 cm²

This means, the bottom part will measure 12 cm by 8 cm.

Thus, the complete measurement is;

Length: 12 cm

Width: 8 cm

Height; 7 cm

Let's check if it will give us a Volume equal to that given.

Thus;

Volume = 12 × 8 × 7 = 672 cm²

This is same as that given and so our dimensions are correct.

I need help on number 5

Answers

A fraction is undefined if its denominator is zero, because then it's saying
"Division by zero !" which is a definite no-no.

Can the denominator of the fraction in #5 ever be zero ?

The denominator is a quadratic polynomial. Do you know
how to solve (a quadratic polynomial) = 0 ?

This problem is even easier than that, because it gives you some choices.
So you don't even have to solve the quadratic equation. All you have to do
is check out the choices.
Do you see choice of 'x' values that make the denominator zero ?

Big sloppy hint: Look at choice-E very very carefully.

Is that enough help ?

Six people share 3
4
pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Enter your answer in simplest form.

Answers

Answer:

1/8 lb

Step-by-step explanation:

Each person gets 1/6 of the total amount, so ...

(1/6)(3/4 lb) = 3/24 lb = 1/8 lb

Each person gets 1/8 pound of peanuts.

50 kg of grade a coffee beans is mixed with 100 kg of grade b coffee beans. what will be weight in kg of grade b coffee beans in 60 kg of mixture?

Answers

50kg - coffee A
100kg - coffee B

(coffee A)/ (coffee B) = 50kg/100kg = 1/2

1 + 2 = 3 Entire parts
1/3 = coffee A
2/3 = coffee B

60kg * 2/3 = (120kg) : 3 = 40kg coffee B

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