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V125BC [204]
2 years ago
8

Need answer ASAP!! Jessica has twice as many CDs as Fran, and Fran has five more than three times as many CDs as Alyssa. Let c =

number of CDs Alyssa has. In terms of c,how many CDs does Jessica have?
Mathematics
1 answer:
blsea [12.9K]2 years ago
6 0

Answer:

10 + 6C

Step-by-step explanation:

C = the number of CDs Alyssa has

Alyssa has C CDs

Fran has five more than three times as many CDs as Alyssa.

Fran has 5 + (3 * C)

Fran has (5 + 3C) CDs

Jessica has twice as many CDs as Fran

Jessica has 2 * (5 + 3C) CDs

Jessica has 10 + 6C CDs

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Maya has a smart phone data plan that costs $50 per month that includes 2 GB of data, but will charge an extra $15 per GB over t
Bas_tet [7]

Answer:

The plan is:

A fixed cost of $50 per month.

An extra of $15 per GB used over the limit of 2B.

We can write this as a linear equation:

C(x) = $15*x + $50

C(x) is the monthly cost, and x is the number of GB that she used over the limit.

Then, if she used 3GB over the limit, we should replace x by 3.

C(3) = $15*3 + $50 = $45 + $50 = $95.

And the answer to the second question was already found, if she used xx GB in the month, then we have:

C(xx) = $15*xx + $50

(we replaced the x in the general equation by xx)

3 0
3 years ago
Find the perimeter of a field that has length 2/x + 1 and width 5/x^2 -1.
Semmy [17]

Answer:

D)4x + 6/(x + 1)(x - 1)

Step-by-step explanation:

A field is basically a rectangle, so to find the perimeter of our field we are using the formula for the perimeter of a rectangle

p=2(l+w)

where

p is the perimeter

l is the length

w is the width

We know from our problem that the field has length 2/x + 1 and width 5/x^2 -1, so l=\frac{2}{x+1} and w=\frac{5}{x^2-1}.

Replacing values:

p=2(l+w)

p=2(\frac{2}{x+1} +\frac{5}{x^2-1})

Notice that the denominator of the second fraction is a difference of squares, so we can factor it using the formula a^2-b^2=(a+b)(a-b) where a is the first term and b is the second term. We can infer that a=x^2 and b=1^2. So, x^2-1=(x+1)(x-1). Replacing that:

p=2(\frac{2}{x+1} +\frac{5}{x^2-1})

p=2(\frac{2}{x+1} +\frac{5}{(x+1)(x-1})

We can see that the common denominator of our fractions is (x+1)(x-1). Now we can simplify our fraction using the common denominator:

p=2(\frac{2(x-1)+5}{(x+1)(x-1)} )

p=2(\frac{2x-2+5}{(x+1)(x-1)} )

p=2(\frac{2x+3}{(x+1)(x-1)} )

p=\frac{4x+6}{(x+1)(x-1)}

We can conclude that the perimeter of the field is D)4x + 6/(x + 1)(x - 1).

3 0
3 years ago
Larina received a 50$ gift card to an online store. She wants to purchase some bracelets that cost 8$ each. There will be an ove
Strike441 [17]
8n+10=50 <-- Original Equation

8n=40 <-- Use the Subtraction Property of Exponents to remove the 10 from the left

n=5 <-- Use Division Property of Exponents to remove the 8 from the n and find the unit of n

The number of bracelets Larina can purchase is five.
5 0
3 years ago
Using the picture below, which angle is alternate exterior to angle 2?
kenny6666 [7]

Answer:

alternate exterior means outside of the two parallel lines so your answer is 7 because alternate means other side of transversal

4 0
2 years ago
(PLEASE ANSWER!!!! BRAINLEST!)) Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Answer the statement below as true or
Alex787 [66]
This answer would be false srry if im wrong but thats what i think
8 0
3 years ago
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