MATHEMATICS MIDDLE SCHOOL

Alana and Petra go to a used book sale, where every book is the same price. Alana buys 5 books and Petra buys 4 books. They run into their friend Angus, who really loves to read, and discover that he has bought 19 books. Angus received a $10.00 discount, but he still spent $7.50 more than Alana and Petra combined. How much does one book cost?

Answers

Answer 1

Answer:

Answer:

Cost of one book is $1.75.

Step-by-step explanation:

Let the cost of one book is $x.

Alana and Petra brought 5 + 4 = 9 books together.

⇒ Cost of book brought by them together is $9x

Angus brought 19 books and he gets $10 discount.

⇒ He paid for book is $19x - 10

But also Angus spent $7.5 more than Alana and Petra

⇒ 19x - 10 = 9x + 7.5

⇒ 10x = 17.5

⇒ x = 1.75

Thus the Cost of one book is $1.75.

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To make a monster appear large in a movie, a human actor wore a costume and walked through a scale model of a city. The scale used was 1 inch = 15 feet. The actor is 60 inches tall. How tall does the monster appear in the movie?Question 5 options:

720 feet

75 feet

4 feet

900 feet

Answers

Answer:

Option D is correct.

900 feet tall does the monster appear in the movie

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal

As per the statement:

To make a monster appear large in a movie, a human actor wore a costume and walked through a scale model of a city.

Scale used was:

1 inch = 15 feet.

It is also given that: the actor is 60 inches tall

To find how tall does the monster appear in the movie

Let x be the height of the Monster appear in the movie.

by definition of proportion we have;

$(1)/(15) =(60)/(x)$

By cross multiply we have;

$x = 15 \cdot 60$

Simplify:

x = 900 feet

Therefore, 900 feet tall does the monster appear in the movie

Multiply and reduce to lowest terms. Convert into a mixed number if necessary. 4x5/9=

Answers

2 and 1/5 is your answer.

decimal form=2.2

Here is the other part sorry

Answers

Answer:

1) 32/5

2) 19/8

3) 34/7

4) 25/3

How to do this

You take the denominator (the number on the bottom), multiply it by the whole number (like in 1, 5*6=30) then add the numerator (the top number) (so 30+2) then add on top of the denominator before you changed anything (32/5)

Which 3 Comparisons are correctA 0.4 meter > 0.04
B 0.04 Meter >0.3
C 0.3 Meter < 0.3
D 0.5 Meter > 0.65
E 0.65 Meter >0.61
F 0.65 Meter <0.04