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Mathematics

2 answers:

nasty-shy [4]3 years ago

4 0

Answer:

History test

Step-by-step explanation:

28 divided by 40 is 0.7 which equals 70 percent.

39 divided by 60 is 65 percent .

adoni [48]3 years ago

3 0

Answer:

Phil did better on his History test.

Step-by-step explanation:

In the history test, he scored a 28/40. There are many ways to do this, but here is my way. Convert this to decimal to make comparison easy.

28/40 = 0.7

In the Geography test, he scored 39/60. Convert this to decimal as well.

39/60 = 0.65.

Since 0.7 > 0.65, Phil did better on his history test.

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Answer:

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2 years ago

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The length of a rectangle is 8 feet more than its width. If the width is increased by 4 feet and the length is decreased by 5 fe

bezimeni [28]

Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w

No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12

Now our problem says that the two area will be equal to each other, which sets up the following equation:

w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20

7 0

3 years ago

Louis brings 79 pencils to school. After he gives each of his 15 classmates an equal number of pencils, he will give any leftove

slavikrds [6]

Answer:

a. $4\ pencils$

b. His teacher will receive more pencils (See explanation).

Step-by-step explanation:

a. The total number of pencils Louis brings to school is:

$total\ pencils=79$

Then, in order to calculate the number of pencils Louis’s teacher will receive after he gives each of his 15 classmates an equal number of pencils, you need to solve the division show in the picture attached.

Notice that the remainder obtained is: $4$ .

<em>This means that Louis’s teacher will receive 4 pencils.</em>

b. If Louis decides instead to take an equal share of the pencils along with his classmates, his teacher will receive more pencils; because the amount of pencils each classmate will receive will be less. This means that the number of pencils leftover will increase, leaving more pencils for his teacher.