MATHEMATICS HIGH SCHOOL

Ten plus 8 to the third power divided by 16

Answers

Answer 1
Answer:

Answer: 42

Step-by-step explanation:

10+8^3/10

Exponets first

8^3=512

Then Divide

512/16=32

Finally add

32+10=42

Use Order of Operations

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N x 7 = 49 what is the missing added?

Answers

The missing added is N=7. 7×7= 49
7*7 = 49
or 49÷7 = 7
So, 7 is missing.

A student wrotw a variable expression n-5 for the word phrase n less than 5. explain the students error

Answers

Less than does mean minus, but when the question says less than some number, that number goes first. should have written 5-n

I need help with number 3

Answers

You multiply everything inside the brackets by what's outside it:

24-30x + 9
33 - 30x

D is the answer.

John drives 257 miles and uses 9 gallons of gas. How many miles per gallon did he get?

Answers

This problem can solve by the rule of three:
275 miles---------------9 gallons
x---------------------------1 gallons.

x=(275 miles * 1 gallons) / 9 gallons=28.55555.... miles≈28.56 miles.

Answer: 28.56 miles.

A cylinder has a base diameter of 10cm and a height of 14cm. What is its volume in cubic cm, to the nearest tenths place?

Answers

Volume of any cylinder = π times (radius)² times (height or length)

Radius of your cylinder = 1/2 of the diameter =5 cm

Volume = π (5 cm)² (14 cm) = 350 π cm³ = 1,099.56 cm³ (rounded)
diameter : \ d = 10cm \nheight : \ h=14 \ cm \n \nr=(d)/(2)=(10)/(2)=5 cm \n \nvolume \ of \ a \ cylinder \ is \ equal \n \nV= \pi r^2h \n \nV= \pi\cdot 5^2 \cdot 14 =3.14\cdot 25 \cdot 14 = 1099.0 \ cm^3 \n \n Answer : \ its \ volume \ is \ 1099 \  cubic \ cm

Matthew is driving his car to visit a farm. He covers a distance of 112.25 miles in 60 minutes. He visits a friend on the way, and thereafter drives 45 miles at the same speed. He estimates that he took 30 minutes to cover the last distance. Is this a reasonable estimate?

Answers

Answer: His estimate is not reasonable because the time it took to cover the last distance is 24.1 minutes and it is below his estimate

Step-by-step explanation:

On his way to the farm, he covered a distance of 112.25 miles in 60 minutes.

Speed = distance/time.

So his speed is 112.25/60 = 1.87 miles per hour.

He visits a friend on the way, and thereafter drives 45 miles at the same speed. So he covered 45 miles at a speed of 1.87 miles per minute.

Time taken = distance / speed

Time it took him to cover 45 miles = 45/1.87 = 24.1 minutes
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