There are 950 students at Hanover High School. The ratio of the number of freshmen to all students is 3:10. The ratio of the number of sophomore to all students is 1:2. What is the ratio of the number of freshman to sophomore?

Answers

Answer 1

Answer:

Step-by-step explanation:

There are 950 students at Hanover High School. The ratio of the number of freshmen to all students is 3:10. This means that the number of freshmen is 3/10 × total number of students.

Number of freshmen = 3/10×950 =285 freshmen

The ratio of the number of sophomore to all students is 1:2. This means that the number of sophomore is 1/2 × total number of students.

Number of sophomore = 1/2×950 =475 sophomore

The ratio of the number of freshmen to sophomore is the number of freshmen/ the number of

sophomore.

It becomes 285/475 = 57/95

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A local discount store is famous for their motto, "Shop with us and you'll pay 20% less". Their claim is that every item in the store is already marked down 20% off of retail prices. In this Sunday's ad, they are advertising a scuba mask and snorkel set at their discount price of $28. Use a percent model to determine the original retail price of the scuba mask and snorkel set.

Answers

Answer:

Original retail price: $35

Step-by-step explanation:

20% off means that the discounted price is equivalent to 80% (100% - 20%) of the retail price.

Calling x the retail price of the scuba mask and snorkel set, then a discounted price of $28 means that this amount of money is 80% of x. Mathematically:

80*x/100 = $28

x = $28*100/80

x = $35

Use percentage multipliers:
$28/0.8 = $35
The original price of the set is $35.

Hope This Helps!

Gretchen is using an overhead projector to enlarge a drawing so she can make a poster. The original drawing measures 60 mm wide by 80 mm high. She moves the projector so that the width of the projected image is 300 mm. If the original drawing and the projected image are similar figures, what will be the height of the projected image?

Answers

so 60 by 80,
60 <80 so 60=width
she moves it so that width=300
findn height

60:300=80:x
60/300=80/x
muliplyb oth sides by x
60x/300=80
x/5=80
mulitpliy both sides by 5
x=400

the height=400 mm

Answer:

400mm

Step-by-step explanation:

Jordan can ride his bike 24 miles in 2 hours. How many miles can he ride his bike in 5 hours?

Answers

Answer:

60 miles

Step-by-step explanation:

24 miles ÷ 2= 12

2 hours ÷ 2 =1

12 miles in 1 hour

1 hour × 5 = 5 hours

12 miles × 5 = 60 miles

60 miles in 5 hours

For a two week period, John and Amanda had the following transactions occur to their checking account: a deposit of $1,644.50; checks written for $190, $45, and $7.50; and debit card transactions for $30, $5.59, $7.20, and $21.30. What is the ending balance for this time frame?A. $1,377.91
B. $1,234.56
C. $1,352.24
D. $1,466.09

Answers

So we want to know what is the ending ballance if the starting value on the account was the deposit of 1644.5$ and debit card transactions were: 30$ + 5.59$ + 7.2$ + 21.3$= 64.09$ and checks: 190$ + 45$ + 7.5$= 242.5$. When we take those values from the initial value: 1644.5$-242.5$-64.09$= 1377.91$. And the correct answer is A.

Solve for x. x² + 6x + 9 = 12 x=−9±4 √3 x=−3±4 √3 x=−9±2 √3 x=−3±2 √3

Answers

Answer:

Step-by-step explanation:

x2+3x+3x+9=12

(x+3)(x+3)=12

x+3=12

x=9

A cube-shaped box has a volume of 125 cubic inches. If the box is packed full of cubes with edge lengths of 1 inch, how many cubes can fit along one face of the box?