What is the answr im so confused

Dennis is cutting construction paper into rectangles for a project he needs to cut one rectangle that is 12 inches times 15 1/4

Nataly_w [17]

Answer:

Dennis need 288.91 square inches of construction paper for his project.

Step-by-step explanation:

Dennis is cutting construction paper into rectangles for a project.

He needs to cut one rectangle that is 12 inches times 15 1/4 inches

First convert the mixed fraction to improper fraction

$15\frac{1}{4} = \frac{(15\times4) + 1}{4} = \frac{61}{4}$

So the area of 1st rectangle is

$A_1 = 12\times \frac{61}{4} = 183 \: in^{2}$

He needs to cut another rectangle that is 10 1/3"" x 10 1/4""

The symbol " means inches

First convert the mixed fraction to improper fraction

$10\frac{1}{3} = \frac{(10\times3) + 1}{3} = \frac{31}{3}$

$10\frac{1}{4} = \frac{(10\times4) + 1}{4} = \frac{41}{4}$

So the area of 2nd rectangle is

$A_2 = \frac{31}{3}\times \frac{41}{4} = 105.91 \: in^{2}$

The total construction paper needed for this project is

$A = A_1 + A_2\\\\A = 183 + 105.91\\\\A = 288.91 \: in^{2}$

Therefore, Dennis need 288.91 square inches of construction paper for his project.

6 0

3 years ago

The hypotenuse of a right triangle is 15 inches, and one of its legs is 11 inches. Find the length of the other leg.

nignag [31]

Answer:

10.2

Step-by-step explanation:

4 0

3 years ago

The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5. Which pair of equivalent ratios could be used

AlexFokin [52]

Answer:

105 students could prefer kiwi if there are 357 total students.

Step-by-step explanation:

Given:

The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5.

Now, to find number of students prefer kiwi if there are 357 total students.

Let the students prefer pineapple be $12x.$

And the students prefer kiwi be $5x.$

Total students = 357.

So, we set an equation to get the number of students who prefer kiwi.

According to question:

$12x+5x=357$

$17x=357$

Dividing both sides by 17 we get:

$x=21.$

Thus, students prefer kiwi are:

$5x$

$=5\times 21=105.$

Therefore, 105 students could prefer kiwi if there are 357 total students.

3 0

2 years ago

Find B on AC that is 2/5 of the distance of A to C.

salantis [7]

Answer:

1

Step-by-step explanation:

AC = 5, ao AB = 2.

This means B = -1+2 = 1.

3 0

1 year ago

William bought some tickets to see his favorite singer. He bought some adult tickets and some children tickets, for a total of 1

Viefleur [7K]

Hello!

Let 'a' stand for adult tickets and 'c' for children tickets.

a + c = 15

(Both adult and children tickets make up a total of 15 tickets).

30a + 20c = 330

a = 3

c = 12

A N S W E R:

William bought 3 adults tickets and 12 children's tickets.

5 0

3 years ago