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3 years ago

Explain what means for a number to be a solution of an inequality

1 answer:

4 0

A "solution" is a number that ... when written in place of the variable ...
makes the equation or inequality a true statement.

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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

Find the area of 3/4 of the circle (radius = 6)<br> i need the awncer please

kobusy [5.1K]

Answer:

28.26

Step-by-step explanation:

I hope this helps!

3 0

2 years ago

Read 2 more answers

Kenny bought 20 packs of baseball cards. There are 12 cards in rack pack. How many cards did Kenny buy?

uranmaximum [27]

If Kenny bought 20 packs of baseball cards and there are 12 cards in a pack, you can calculate how many cards did Kenny buy using the following steps:

20 packs of cards * 12 cards in a pack = 20 * 12 = 240 cards

Result: Kenny bought 240 cards.

6 0

3 years ago

Read 2 more answers

An airplane descends at a rate of 500 feet per minute.Write and evaluate an expression to show how far the plane will descend in

Nataly_w [17]

Answer:

500/6 min if I'm correct

Step-by-step explanation:

8 0

2 years ago

If a drug has a concentration of 8.22 mg per 3.039 mL, how many mL are needed to give 7.469 gram of the drug? Round to 1 decimal

aalyn [17]

Answer:

2.8 litres

Step-by-step explanation:

8.22 mg per 3.039 mL

2.704 mg per 1 mL

7.469 gram = 7469 milligrams

7469 milligrams per 2,761.34927mL

= 2.761 litres = 2.8 litres

7 0

3 years ago