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GarryVolchara [31]
3 years ago
9

Thomas wants to spend no more than $25.50 movies and CDs. If he buys a movie for $9.50 and the CDs cost $5.00, how many CDs can

Thomas purchase?
Mathematics
1 answer:
REY [17]3 years ago
8 0

Answer:

3

Step-by-step explanation:

25.5-9.5=16

16-15=1 (highest multiple of 5 that fits into 16)

He can buy 3 cds and he will have $1 left over

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Suppose that the functions q and r are defined as follows.<br> q (x) = x^2+6<br> r(x) = square x+9
Zigmanuir [339]

Answer:

(r\circ q)(7)=8,\ (r\circ q)(7)=-8

(q\circ r)(7)=22

Step-by-step explanation:

<u>Composite Function</u>

Given two functions q(x) and r(x), the composite function r\circ q(x) is defined as

(r\circ q)(x)=r(q(x))

Similarily

(q\circ r)(x)=q(r(x))

The functions are

q(x)=x^2+6

r(x)=\sqrt{x+9}

Compute

(r\circ q)(x)=\sqrt{x^2+6+9}=\sqrt{x^2+15}

Evaluating for x=7

(r\circ q)(7)=\sqrt{7^2+15}=\sqrt{64}=\pm 8

We have two solutions

\boxed{(r\circ q)(7)=8,\ (r\circ q)(7)=-8}

Now compute

(q\circ r)(x)=(\sqrt{x+9})^2+6=x+9+6=x+15

For x=7

(q\circ r)(7)=7+15=22

\boxed{(q\circ r)(7)=22}

5 0
3 years ago
The sum of one-third of a number and three-fourths of the number exceeds that number by one. Which equation could be used to fin
Marrrta [24]
\frac{n}{3} + \frac{3n}{4} = n+1 &#10;
4n + 9n = n+1
13n = n+1
13n-n = 1
12n = 1

8 0
3 years ago
Read 2 more answers
Help with 14 Thxs luvs❤️
LenKa [72]

a) the property is known as the “additive inverse property”

b)this propeety is the  “additive identity property”

hope this helps !!

7 0
3 years ago
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What is value of x? please help
bija089 [108]

Answer:

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Step-by-step explanation:

To find the value of x, create a proportion. A proportion is two equal ratios for similar figures. The two triangles are similar because they are the same shape but not the same size. Create ratios between corresponding sides of figures.

\frac{x+8}{10}=\frac{2x-5}{14}

To solve for x, cross multiply:

(x+8)(14) = (10)(2x-5)

14x + 112 = 20x -50

        112 = 6x - 50

        162 = 6x

          27 = x

7 0
3 years ago
The sum of two numbers is 24. The second number is 4 less than the first. Write a system of equations and solve it to find the n
algol13
X + y = 24
y = x - 4
Your proper answer is B.)
14 + 10 = 24
14 - 4 = 10.
4 0
3 years ago
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