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galina1969 [7]
3 years ago
15

Ella has $115. She wants to purchase a cell phone for $53 and spend the rest on music. Each music album costs $9. Write and solv

e an inequality for the number of music albums she can purchase.
Mathematics
1 answer:
lana [24]3 years ago
3 0
53 + 9x < 115
THE LESS THAN SYMBOL SHOULD HAVE A LINE UNDER IT!
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Judy simplified the expression (3x + 1)(x – 3) – (2 – 2x2 – 3x). What is the constant term in the simplified expression?
andrey2020 [161]

Answer:

Step-by-step explanation:

(3x+1)(x-3)-(2-2x^2-3x)

3x^2+x-9x-3-2+2x^2+3x

3x^2+2x^2+x-9x+3x-3-2

5x^2-5x-5

the constant term in the simplified expression is -5.

5 0
3 years ago
How do you solve this?
puteri [66]

Answer:

Width: 7

Length: 14

Step-by-step explanation:

The area of a rectangle can be found my multiplying the length by the width. We do not know neither the length nor the width. However, we do know that the length is 7 feet longer than the width. Because we do not know the value of either side, let's let x represent the width.

Since the length is 7 feet longer, we can represent the length by x+7.

Now that we have our values for the length and the width we can multiply them together to find our area.

(x)(x+7)=x^{2} +7x

Now we have our equation, so we can address the changes made by the original question. The original question states that when 7 is added to both the length and width the area becomes 3 times larger. To do so simply increase each side by 7 by adding 7 to the original values.

(x+7)(x+14)

And multiply our area by 3.

3(x^{2} +7x)

set these equal to each other to find your new equation.

(x+7)(x+14)=3(x^{2} +7x)

Now you need to solve for x. To do this first muliply (x+7) and (x+14).

(x+7)(x+14)=\\x^{2} +14x+7x+98=\\x^{2} +21x+98

Then multiply 3(x^{2} +7x)

3(x^{2} +7x)=\\3x^{2} +21x

Now you can begin solving for x.

x^{2} +21x+98=3x^{2} +21x

Subtract x^{2} from both sides.

21x+98=2x^{2} +21x

Subtract 21x from both sides.

98=2x^{2}

Divide by 2.

49=x^{2}

And finally take the sqaure root of both sides.

\sqrt{x^{2} }=\sqrt{49}\\x=7

Remember, because we are dealing with length, there cannot be negative. So while normally we would get both +7 <em>and</em> -7, in this case we <em>only </em>get +7.

Now that we have the value of x, we can plug it into our original values.

For width we simply get 7.

For length we get 7+7=14

To check our answer we cna multiply 7 by 14 to get 98. Then we can add 7 to our length and width to get 14 and 21. Multiply these together and we get 294. 294 divided by 3 is 98, proving our answer correct.

7 0
3 years ago
Who is lionel messi​
lapo4ka [179]

Answer:

He is a soccer player

Step-by-step explanation:

Lionel Andrés Messi is an Argentine professional footballer who plays as a forward and captains both Spanish club Barcelona and the Argentina national team.

8 0
3 years ago
Read 2 more answers
The width of a rectangle is 80 feet. The length of the rectangle is longer than the width by a distance of feet. Write an algebr
Sauron [17]
Length=width+x
l=w+x (x being the amount of feet longer than the width)
5 0
3 years ago
Read 2 more answers
karas jug contains 2 quarts of apple cider.she fills 8 mugs with cider.each mug can hold six three fourths of fluid ounces.how m
bazaltina [42]
So first of all you need to know that in 1 quart there is 31.9995 ounces so since shes says there is 2 quarts lets do the math:)
31.9995 x 2 = 63.999 ounces 
now she says she took 8 mugs and filled them up each with 6 and 3/4 ounces. lets do the math:)
6 and 3/4 x 8 = 30 ounces
now lets subtract that from our 2 quarts or 63.999 ounces 
63.999 - 30 = 33.999 
so we have 33.999 fluid ounces left in the jar:)
hope this helps lol

8 0
3 years ago
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