MATHEMATICS HIGH SCHOOL

Max travels to see his brother's family by car. He drives 216 miles in 4 hours. What is his rate in miles per hour? B) Suppose he makes two stops of 10 minutes each during his journey. Will he be able to reach the town in 4 hours if he keeps the speed the same?

Answers

Answer 1
Answer:

Answer:

54 miles/hour

If he made two stops of 10 minutes each and maintains the same speed, it would take him more than 4 hours to reach the town as the time speed would have been extended by 20 minutes.

Step-by-step explanation:

The rate of change of distance with time is called speed and it is measured in miles per hour. Mathematically,

Speed = Distance/time

His rate in miles per hour is his speed

= 216/4

= 54 miles per hour
Answer 2
Answer:

Answer:

Rate in miles per hour: 54 miles per hour

Step-by-step explanation:

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Which is the solution of the quadratic equation (4y – 3)2 = 72?y = and y =
y = and y =
y = and y =
y = and y =

Answers

To solve this quadratic equation, take the square root of both sides.
Since the left side is a perfect square, it will just be reduced to:
4y - 3
For the constant on the right side, the positive and negative roots must be considered.
√72 = ±6√2

Equating the two:
4y - 3 = ±6√2
4y = 3 ± 6√2
y = (3 ± 6√2)/4

y = (3 + 6√2) / 4 = 2.87
and
y = (3 - 6√2) / 4 = -1.37

The solution of the quadratic equation (4y – 3)² = 72 are y = (6√2 + 3)/4 and y = (-6√2 + 3)/4

Solution to quadratic equations

Quadratic equations are equation that has a degree of 2. Given the quadratic equation as shown:
(4y – 3)² = 72

Take the square root of both sides

√(4y – 3)² = ±√72
4y -3 = ±√72
4y - 3 = ±6√2

4y = ±6√2 + 3

y = (6√2 + 3)/4 and y = (-6√2 + 3)/4

Hence the solution of the quadratic equation (4y – 3)² = 72 are y = (6√2 + 3)/4 and y = (-6√2 + 3)/4

Learn more on quadratic equation here: brainly.com/question/17987697

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5) Use the rules of exponents to evaluate or simplify. Write without negative exponents. y^-5 / y^-2 = ____

Answers

( y ^(-5) )/(y ^(-2)) =y^(-5-(-2))=y^(-5+2)=y^(-3)=(1)/(y^(3))

Frank has enough paint to cover 500 square inches. He paints a wooden cube that has 9-inch square faces. How much paint does Frank have left?

Answers

Answer:

there are 6 square faces in a cube

surface 1 side: 9²=81inch²

1cube surface: 81*6=486inches²

he uses 486inch² of paint for the cube

Amount of paint remaining = 500 square inches - 486 square inches = 14 square inches

Step-by-step explanation:

What fractions would be equivalent to 4/6? Would it be 2/6

Answers

No it would be 2/3 because the GCF of both of them is 2, so divide both the numerator and denominator by 2 and get 2/3
Fractions equal to 4/6 would be 8/12, or 2/3. Whatever you do to the top of the fraction, you have to do to the denominator. (or the bottom one) You divided the top of your fraction by 2 (and got 2/6) But you forgot to divide the denominator by 2 (to get 2/3.) Make sense?

True or false: is a rectangular also a square

Answers

I do not believe so, because a square is in the rectangle family. If a rectangle was in the square family, it would have to have all sides the same length, wich wouldnt make it a rectangle anymore.

Edith spends 8 hours a day working in her office and 1 hour in the office taking lunch. She wrote this equation to represent the total time she spends in the office in one day.t = 8 + 1

Edith works 5 days a week.

Which equation would represent the total time Edith spends in the office in one week?

A.
t = (5 • 8) + 1

B.
t = 5 • (8 + 1)

C.
t = 8 + (5 • 1)

D.
t = 5 + (8 + 1)

Answers

B is the best. Because she works 8+1 hours 5 times :) hope this helps
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