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2 years ago

15

a certain store is selling packages of 10 pencils and 4 pens. the manager wants to make a larger package in the same ratio. if t

he large package has 10 pens, how many pencils are in the large package?

1 answer:

VMariaS [17]2 years ago

5 0

Answer: 25 pencils

Step-by-step explanation:

2 × 5 = 10

5 × 5 = 25

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Luba_88 [7]

Answer: No solution

Step-by-step explanation:

The red line is y=3x+7 and the blue line is y=3x+2

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2 years ago

The difference of two numbers is 8. If the sum of the smaller number and the square of the larger

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3 years ago

A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u

Kryger [21]

Given: $f(x) = \frac{1}{x-2}$

$g(x) = \frac{2x+1}{x}$

A.)Consider

$f(g(x))= f(\frac{2x+1}{x} )$

$f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}$

$f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}$

$f(\frac{2x+1}{x} )=\frac{x}{1}$

$f(\frac{2x+1}{x} )=1$

Also,

$g(f(x))= g(\frac{1}{x-2} )$

$g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{x }{1}$

$g(\frac{1}{x-2} )= x$

Since, $f(g(x))=g(f(x))=x$

Therefore, both functions are inverses of each other.

B.

For the Composition function $f(g(x)) = f(\frac{2x+1}{x} )=x$

Since, the function $f(g(x))$ is not defined for $x=0$ .

Therefore, the domain is $(-\infty,0)\cup(0,\infty)$

For the Composition function $g(f(x)) =g(\frac{1}{x-2} )=x$

Since, the function $g(f(x))$ is not defined for $x=2$ .

Therefore, the domain is $(-\infty,2)\cup(2,\infty)$

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3 years ago

Pls help, its multiple choice btw

ryzh [129]

Answer:

the answer is c

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Karen walked 3.5 miles to her friends house. She wants to express this distance in feet. Write a proportion to find the number o

nata0808 [166]

Step-by-step explanation:

1 mile=5280 feet

2 miles=10560 feet

3 miles=15840 feet

3.5 miles=18480 feet

Answer:

<u>1 mile= 5280 feet</u>

3.5 miles= x

4 0

3 years ago