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Fynjy0 [20]
3 years ago
14

Peter is buying office supplies. He is able to buy 3 packages of paper and 4 staplers for $40, or he is able to buy 5 packages o

f paper and 6 staplers for $62. How much does a package of paper cost? How much does a stapler cost?
Mathematics
1 answer:
Lina20 [59]3 years ago
6 0

Answer:

paper = $4 and stapler = $7

Step-by-step explanation:

let p represent paper and s represent stapler, then

3p + 4s = 40 → (1)

5p + 6s = 62 → (2)

Multiplying (1) by 5 and (2) by - 3 and adding will eliminate p

15p + 20s = 200 → (3)

- 15p - 18s = - 186 → (4)

Add (3) and (4) term by term to eliminate p

2s = 14 ( divide both sides by 2 )

s = 7

Substitute s = 7 into either of the 2 equations and evaluate for p

Substituting into (1)

3p + 4(7) = 40

3p + 28 = 40 ( subtract 28 from both sides )

3p = 12 ( divide both sides by 3 )

p = 4

Thus package of paper costs $4 and stapler costs $7

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posledela
The correct answer is $1820.

The formula for continuously compounded interest is

A = Pe^(rt), where P is the amount of principal, r is the interest rate expressed as a decimal number, and t is the number of years.  Using our information, we have:

A = 950*e^(0.065*10) = 1819.76 ≈ 1820
3 0
3 years ago
Three people who work full-time are to work together on a project, but their total time on the project is to be equivalent to th
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Answer:

  1/6

Step-by-step explanation:

Let x represent the proportion of time the third person spends on the project. You want ...

  1/2 + 1/3 + x = 1 . . . . full-time equivalents

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The third person should budget 1/6 of their time to the project.

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3 years ago
Help with Algebra 2: 1. <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B7%5D%7Bx%5E5%7D%20%7D%7B%5Csqrt%5B4%5D%7Bx%5E2%7D%
Mars2501 [29]

Answer:

See explanation

Step-by-step explanation:

1. Given the expression

\dfrac{\sqrt[7]{x^5} }{\sqrt[4]{x^2} }

Note that

\sqrt[7]{x^5}=x^{\frac{5}{7}} \\ \\\sqrt[4]{x^2}=x^{\frac{2}{4}}=x^{\frac{1}{2}}

When dividing \sqrt[7]{x^5} by \sqrt[4]{x^2}, we have to subtract powers (we cannot subtract 4 from 7, because then we get another expression), so

\dfrac{5}{7}-\dfrac{2}{4}=\dfrac{5}{7}-\dfrac{1}{2}=\dfrac{5\cdot 2-1\cdot 7}{14}=\dfrac{3}{14}

and the result is x^{\frac{3}{14}}=\sqrt[14]{x^3}

2. Given equation 3\sqrt[4]{(x-2)^3} -4=20

Add 4:

3\sqrt[4]{(x-2)^3} -4+4=20+4\\ \\3\sqrt[4]{(x-2)^3}=24

Divide by 3:

\sqrt[4]{(x-2)^3} =8

Rewrite the equation as:

(x-2)^{\frac{3}{4}}=8\\ \\(x-2)^{\frac{3}{4}}=2^3

Hence,

\left((x-2)^{\frac{3}{4}}\right)^{\frac{4}{3}}=(2^3)^{\frac{4}{3}}\\ \\x-2=2^{3\cdot \frac{4}{3}}\\ \\x-2=2^4\\ \\x-2=16\\ \\x-2+2=16+2\\ \\x=18

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3 years ago
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Natalka [10]

Answer:

Step-by-step explanation:

x^2.x^1

=9^2.9^1

= 9 multiplied by 9

=81

9 multiplied by 1

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81 multiplied by nine

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2 years ago
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Answer:

<h3>A.</h3>

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if both increases the volume also increase as the same i.e.

twice length and twice radius = twice the volume of wax

<h2 /><h2><u>MARK ME AS BRAINLIST</u> </h2>
7 0
2 years ago
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