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25 x 6.5
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Which of the following are equivalent to 65%? Choose all that apply.
A. 0.065
B. 0.65
C. thirteen over twenty
D. thirteen over twenty five
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What is 42% of 175?
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Note: For the following WorkPad questions remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer.

Find the unit price for each option shown below. Round to the nearest cent when necessary.
Option I: 10 candy bars for $6.75
Option II: 12 candy bars for $7.25

Which option is the better buy.
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A jacket's original price is $65.00. It is on sale for 40% off. You have to pay 5% sales tax. What is the final price for the jacket? explain
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Katy was picking berries. She picked 135 berries in 15 minutes. If she continues picking at that rate, how many total berries will she pick in 25 minutes?










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Solve the proportion. start fraction 16 over 50 end fraction equals start fraction x over 156.25
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If 210 people said football was their favorite sport to watch, how many people were surveyed?
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If 210 people said football was their favorite sport to watch, how many people were surveyed? 42% of football
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1.
What event started the space race?

A meteor made impact with Earth.
The Soviets launched a satellite into orbit.
The United States built a space shuttle.
NASA challenged other government agencies.
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2.
Which is an example of a satellite?

an astronaut walking on the moon
a space shuttle orbiting Earth
a meteorite passing by a planet
a radar tower emitting radio waves
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3.
When was the first artificial satellite launched into orbit?

1957
1962
1958
1988
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4.
Which was the first country to launch a human into space?

Soviet Union
China
Italy
United States
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5.
Which describes NASA?

the first astronaut team
a government space agency
a manned space shuttle
the first dog in space
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1.
Which best describes the first spacecraft to land on the moon?

a United States lunar buggy
A crewless vessel
a shuttle with three Soviet cosmonauts
a small shuttle with a monkey onboard
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2.
Which was collected from the moon for scientists to study?

plants
water
bacteria
rocks
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3.
Which U.S. President committed America to the goal of landing a man on the moon?

Dwight Eisenhower
John F. Kennedy
George H. W. Bush
Neil Armstrong
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4.
Scientists discovered that the minerals on the moon probably came from _____.

asteroids
Earth
Venus
Mars
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5.
When was the Apollo mission considered a success?

when moon samples had been collected and analyzed
when astronauts walked on the moon
when the United States put a man in space
when the moon was colonized
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162.5
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B. 0.65
C. thirteen over twenty
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42% of 175 is 73.5.

To calculate this, you can multiply the decimal equivalent of 42% (0.42) by the number 175:

0.42 x 175 = 73.5
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To find the unit price, divide the total cost by the number of items:

Option I:

Unit price = $6.75 ÷ 10
Unit price = $0.675

Option II:

Unit price = $7.25 ÷ 12
Unit price = $0.6042 (rounded to four decimal places)

Therefore, Option II has the better unit price, at $0.6042 per candy bar.
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If the jacket is on sale for 40% off, then the sale price is 60% of the original price. We can find the sale price by multiplying the original price by 0.60:

Sale price = $65.00 x 0.60
Sale price = $39.00

Now that we know the sale price, we can add the 5% sales tax. To find the amount of sales tax, we multiply the sale price by 0.05:

Sales tax = $39.00 x 0.05
Sales tax = $1.95

Finally, we add the sales tax to the sale price to find the final price:

Final price = Sale price + Sales tax
Final price = $39.00 + $1.95
Final price = $40.95

Therefore, the final price for the jacket, including the 40% discount and 5% sales tax, is $40.95.
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We can use proportions to solve this problem. Since we know that Katy picked 135 berries in 15 minutes, we can set up a proportion to find out how many berries she will pick in 25 minutes:

135 berries / 15 minutes = x berries / 25 minutes

To solve for x, we can cross-multiply:

15x = 135 x 25

15x = 3375

x = 3375 / 15

x = 225

Therefore, if Katy continues picking berries at the same rate, she will pick a total of 225 berries in 25 minutes.
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To solve the proportion:

start fraction 16 over 50 end fraction equals start fraction x over 156.25

We can cross-multiply to find the value of x:

16 x 156.25 = 50 x x

2500 = 50 x

x = 50

Therefore, the value of x is 50.
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We do not have enough information to determine how many people were surveyed. Knowing the number of people who preferred football does not provide enough information to determine the total number of people in the survey.
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Knowing that 210 people said football was their favorite sport to watch and that 42% of the people preferred football allows us to set up a proportion to find the total number of people surveyed:

(42/100) x = 210

Multiplying both sides by 100/42 gives:

x = (210 x 100) / 42

x = 500

Therefore, there were 500 people surveyed.
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The event that started the space race was:

The Soviets launched a satellite into orbit.
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A space shuttle orbiting Earth is an example of a satellite.
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The first artificial satellite, Sputnik 1, was launched into orbit in 1957.
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The Soviet Union was the first country to launch a human into space.
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NASA is a government space agency.
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The first spacecraft to land on the moon was a crewless vessel, the Soviet Union's Luna 9.
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Rocks were collected from the moon for scientists to study.
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President John F. Kennedy committed America to the goal of landing a man on the moon.
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Scientists discovered that the minerals on the moon probably came from asteroids.
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The Apollo mission was considered a success when astronauts walked on the moon.