MATHEMATICS HIGH SCHOOL

If a gas tank can hold 30 gallons, how many gallons does it contain when it is three-fifths full?

Answers

Answer 1
Answer:

The gas tank contains 18 gallons when the gas tank is three-fifths full.

We are given that,

A gastank can hold 30 gallons.

We need to find how many gallons it contains when it is three-fifthsfull.

What is a fraction?

A fraction has two parts :

- Numerator

- Denominator.

The numerator is the number of required parts from the total number of parts in the denominator.

We have,

"A gas tank can hold 30 gallons"

This means that when the gas tank is full it can hold 30 gallons.

We can write it as,

Full tank = 30 gallons ----------------(A)

Since we need to find three-fifths full, we need to multiply 3/5 in (A).

We have,

3/5 x full tank = 3/5 x 30 gallons

3/5 full tank = 3 x 6 gallons

3/5 fulltank = 18 gallons.

Thus the gas tank can hold 18 gallons when the gas tank is three-fifths full.

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Answer 2
Answer: 3/5 of 30 is 90/5 
3/5 of 30  is 18 

so when it is 3/5 full then it has 18 gallons 

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Chloe drives from her house to her grandma's house 53 miles away in an hour and 4 minutes. How fast was she driving on average?

Answers

Answer

49.67mph

Step-by-step explanation:

Data: 53 miles

1 hour 4 minutes.

Convert 4 minutes to hours:

4/60 = .067

Add like terms (hours)

1+ 0.067= 1.067

mph = m/h

mph = 53/1.067 = 49.67mph

The average speed of the car will be 49.67mph.

What is speed?

The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity and does not require any direction to represent it.

Given that Chloe drives from her house to her grandma's house 53 miles away in an hour and 4 minutes. The speed will be calculated by using the formula below:-

Distance traveled = 53 miles

Time = 1 hour 4 minutes.

Convert 4 minutes to hours:

4/60 = .067

Add like terms (hours)

1+ 0.067= 1.067

Now the speed will be:-

Speed = Distance / Time

Speed = 53 / 1.067

Speed = 49.67 mph

Therefore, the average speed of the car will be 49.67mph.

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Using the formula C = 2πr, find the circumference of a circle with diameter of 28 inches. Round your answer to the nearest inch.        A. 28 in.   B. 56 in.   C. 44 in.   D. 88 in.

Answers

I hope this helps you
175.92918845 is what i got so idk i am sorry

There is a pile of rocks. When 4.6 tons are removed, theremaining amount of rocks is 4.9 tons more than the amount
of removed rocks. How many tons of rock was there
originally?
___tons

Answers

Answer:

9.5

Step-by-step explanation:

4.6+4.9= 9.5

1. If angle A and angle B are vertical angles and mA = 7x-5 and mB = 4x + 10, what is the value of x

Answers

Answer:

175/11 or 165 and 10/11

Step-by-step explanation:

7x-5+4x+10=180

11x+5=180

11x=175

x=175/11

Multiply.1. (2x^3y^3)(5x^2y^8)                           2. 9b^3(8b^4)(-b)


3. 3y²(y²-2y+3)                                                 4. (x + 3)(x-2)

Answers

1. \n \n(2x^3y^3)(5x^2y^8) =2\cdot 5\cdot x^(3+2)\cdot y^(3+8) =10 \cdot x^(5)\cdot y^(11) \n \n 2.\n \n 9b^3(8b^4)(-b) =-9\cdot 8\cdot b^(3+4+1) =-72\cdot b^(8)

3.\n \n 3y^2(y^2-2y+3)=\n \n=3y^2\cdot y^2-3y^2\cdot 2y+3y^2\cdot 3 =\n \n =3y ^(2+2) -6y ^(2+1) +9y^2 =\n \n= 3y ^(4) -6y ^(3) +9y^2

4.\n \n (x + 3)(x-2)=x^2-2x+3x-6 = x^2+x-6

Determine which relation is a function. A.{(–4, 3), (–2, 3), (–1, 2), (2, 5), (3, 2)}

B.{(–4, 1), (–2, 3), (–2, 1), (–1, 5), (3, 2)}

C.{(–4, 1), (–2, 3), (–1, 2), (3, 5), (3, 2)}

D.{(–4, 1), (–2, 3), (–1, 1), (–1, 5), (3, 2)}

Answers

The A is a function, because all the values of the independent variable (the first value of the ordered pairs) are related to only one value, i.e. have only one image.

In B - 2 has two different images: 3 and 1. That makes that this is not a function.

In C, 3 has two different images: 5 and 2. That makes that this is not a function.

In D, - 1 has two different images: 1 and 5. That makes that this is not a function.
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