MATHEMATICS HIGH SCHOOL

Which ones are functions?

Answers

Answer 1

Answer:

Answer:

1 and 4

Step-by-step explanation:

All the other options have corresponding x-values

Answer 2

Answer:

Answer:

The first and fourth options

Step-by-step explanation:

If it's a function no input and have more than one output.

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Jake needs 9 pieces of rope that are each the same length. He cuts the pieces from a rope that is 8 yards long and uses up the whole piece of rope.How long is each piece of rope?
WRITE THE ANSWER AS A FRACTION AND DECIMAL.

Answers

9 pieces of rope form an 8 yard long rope

Divide.

8/9 yards of rope.

8/9 is approximately 0.89.

So 8/9 yards of rope or 0.89 yards of rope.

ANSWERS
Each rope has a length of 8/9 yards, or $0.\overline{8}$ yards (repeating digit is 8).

EXPLANATION
Division can be used to solve this problem.

In general, the equation "a/b = c" models the following situation: If you have something that is a units long and you divide it into b equal parts, then each equal part will be c units long.

We have a rope that is 8 yards long and we need 9 equal pieces.
Divide 8 yards by 9 to get the length of each piece.

$\begin{aligned}{}^\text{length of}_\text{each piece}&= \frac{8\text{ yard}}{\text{9 piece} } \n&= 8/9 \text{ yards per piece} \n&= 0.\overline{8} \text{ yards per piece}\end{aligned}$

Each piece is 8/9th of a yard or $0.\overline{8}$ yards long.

We can confirm this by adding the lengths of the nine equal pieces of rope back up to get the original length of the rope:

$\begin{aligned}\underbrace{(8)/(9) + (8)/(9) + (8)/(9) +(8)/(9) +(8)/(9) +(8)/(9) +(8)/(9) +(8)/(9) +(8)/(9)}_{\text{9 pieces, each of them 8/9th of a yard long}} &= 9 \cdot \left((8)/(9) \right) \n&= 8\end{aligned}$

Give a description of a 3/4- turn of the minute hand on a clock face.

Answers

Answer: This turn will make a change of 45 minutes.

Step-by-step explanation: Now, a full turn of the minute hand in a clock face is an hour or 60 minutes.

Now, if we only do a 3/4 of a turn, the number of minutes passed is equal to:

3/4*60min = 45min

So in a 3/4 turn of the minute hand, the "change" in the time will be one of 45 minutes.

If the minute hand has turned 3/4 of the way around the face, it is equal to 45 minutes. (45/60)

Change the radians to degrees

Answers

the method of changing a degree to a radian is to multiply with 1/180

Sum of the ages of a father and the son is 40 years. If father's age is 3 times that of his son, then father's age is ________ * 2 points 35 40 30 45

Answers

Answer:

Step-by-step explanation:

Sum of ages= 40

Let the sons age be x

Fathers age = 3 times x or ,3x

So 3x+x=40

4x= 40

x= 40/4

= 10

Therefore the fathers age = 3x

= 3*10

= 30

A local hamburger shop sold a combined total of 688 hamburgers and cheeseburgers on Thursday. There were 62 fewer cheeseburgers sold than hamburgers How many hamburgers were sold on Thursday?

Answers

Answer:

626

Step-by-step explanation:

So 62 fewer right so 688 combined- 62 cheeseburger =626 hamburger

Mr. Anders wants to put a fence around his backyard. His backyard is rectangular. The lengths of the sides are 75 yards , 45 yards, 75 yards, and 45 yards. How much fencing will Mr. Anders need ?

Answers

75 + 45 + 75 + 45 = 240 yards

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Leons older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is leon?

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