MATHEMATICS MIDDLE SCHOOL

Approximately 3 out of every 25 Americans live in California. About 3 out of every 50 Americans live in New York, and about 2 out of every 25 Americans live in Texas.A. Which state has the largest population?
b Which state has the smallest population?
C. About what percentage of Americans do not live in California, New York, or Texas?

Answers

Answer 1

Answer:

Convert all statistics into percentages:

CA: 3/25=0.12 -> 12%

NY: 3/50=0.06 -> 6%

TX: 2/25=0.08->8%

(A) Out of the three states, California has the largest population

(B) Out of the three states, NY has the smallest population

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Julian's shadow is 6 feet long. At the same time a 31 foot tall building casts a shadow that is 28 feet long. What proportion could be used to find Julian's height?A)
x
6
=
31
28
B)
x
6
=
28
31
C)
6
x
=
31
28
D)
x
28
=
31
6

Answers

Answer: Option 'A' is correct.

Explanation:

Since we have given that

Length of Julian's shadow = 6 feet

Height of tall building = 31 feet

Length of shadow of building = 28 feet

Let Height of Julian be x

Since there is direct variation between height and shadow,so

Required proportion will be

$(x)/(6)=(31)/(28)$

Now, we'll calculate the value of x i.e. height of Julian,

$x=(31* 6)/(28)=6.64\ feet.$

Hence, Option 'A' is correct.

j/6=31/28 because of similar triangles....

j=6.64ft

the school auditorium has 22 rows with 28 seats each.At a school concert ,29 seats were empty.How many seats were filled

Answers

twenty two multipied by twenty eight equals 616 if twenty nine seats are empty you have to do 616-29= 587

587 seats were filled with people.

Could 8.8 cm, 8.0 cm and 8.8 cm be the side lengths of a triangle?Choose 1 answer:

(Choice A)

Yes

(Choice B)

No

Answers

Answer:

yes it is possible to have a triangle with 8.8 cm, 8.0 cm and 8.8 cm.

Step-by-step explanation:

Condition on sides of triangle:

The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
It is not possible to have sum to be less than the length of the third side.
A triangle with three given positive side lengths exists if and only if those side lengths satisfy the given condition
Let a, b and c be three sides of triangle.

$a + b > c\na+c>b\nb+c>a$