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NeX [460]
3 years ago
8

Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tub

e of paint costs $8.50. Assume that x represents the number of tubes of paint Catherine can buy. The inequality that best represents this scenario is . The number of tubes of paint Catherine can buy is .
Mathematics
1 answer:
erastova [34]3 years ago
3 0
She can buy 3 tubes be cause 8.50 time 2 is less then 20$ but 8.50 times three is more than 20$ its 25.5
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I need help with 15 please ASAP!!!!!!
Lady bird [3.3K]

Answer:

x must equal 5 and y must equal 2

therefore,

5a + 2b = 23 and

5a - 2b = 7.

I'm gonna take 5a + 2b = 23 and add 7 to each side:

5a + 2b + 7 = 30

and substitute 5a -2b in for 7 on the left side:

5a + 2b + (5a-2b) = 30

10a = 30

a = 3

Now we know a. Now take

5a -2b = 7

and substitute in 3 for a

5*(3) - 2b = 7

15 -2b = 7

8 = 2b

b = 4

a = 3 and b = 4

Step-by-step explanation:

6 0
3 years ago
A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter. The central angle formed by the peach co
Vsevolod [243]

Answer:

D. 5 inches

Step-by-step explanation:

Given:

A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter.

That means complete angle having 360° is divided into 3 section.

The central angle formed by the peach cobbler is 105 degrees.

The central angle formed by the pasta is 203 degrees.

<u>Question asked:</u>

What is the approximate length of the arc of the section containing the peas?

<u>Solution:</u>

The central angle formed by the peas = 360° - 105° - 203°

                                                                = 52°

Ridius,r=\frac{Dameter}{2} =\frac{12}{2} =6\ inches

As we know:

Length\ of\ arc=2\pi r\times\frac{\Theta }{360}

                        =2\times\frac{22}{7} \times6\times\frac{52}{360} \\ \\ =\frac{13728}{2520} \\ \\ =5.44\ inches

Therefore, the approximate length of the arc of the section containing the peas are 5 inches.

6 0
3 years ago
The value of c is equal to _____.
DENIUS [597]

For this case we have that by definition, the Pythagorean theorem states that:

c = \sqrt {a ^ 2 + b ^ 2}

Where:

a, b: Are the legs

c: It is the hypotenuse

According to the figure we have to:

a = 20\\b = 21

Substituting in the formula we have:

c = \sqrt {(20) ^ 2 + (21) ^ 2}\\c = \sqrt {400 + 441}\\c = \sqrt {841}\\c = 29

Answer:

Option D

8 0
3 years ago
What is bigger 2.75 gallons or 12 liters
emmasim [6.3K]
It is 12 liters. 2.75 gallons is approximately 10.41 liters and 12 liters is more than 10.41 liters.
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5.8 * 10^7

2.5* 10 ^ -3
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2 years ago
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