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Iteru [2.4K]
3 years ago
13

Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If

Sophie and Simon work together to peel the potatoes, how long will it take them?
Mathematics
1 answer:
Degger [83]3 years ago
7 0

Answer:

18 minutes

Step-by-step explanation:

Sophie can peel all potatoes in 45 minutes, in 1 minute she can peel:

  • 1/45 of all the potatoes

Simon can peel all potatoes in 30 minutes, in 1 minute he can peel:

  • 1/30 of all the potatoes

Together, in 1 minute they can peel:

  • 1/45+1/30= 2/90+3/90= 5/90= 1/18 of all the potatoes

To peel all the potatoes they need:

  • 1 ÷ 1/18= 1 × 18= 18 minutes

So it will take them 18 minutes to peel all the potatoes

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10=ax+bx solve for x <br> With steps please
laila [671]

Answer:

\displaystyle 10 = ax + bx \rightarrow x = \frac{10}{a + b}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle 10 = ax + bx

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Factor:                                                                                                               \displaystyle 10 = ax + bx \rightarrow 10 = x(a + b)
  2. [Division Property of Equality] Divide a + b on both sides:                           \displaystyle 10 = ax + bx \rightarrow x = \frac{10}{a + b}
7 0
3 years ago
In In 5x + In In (x - 1) = 2
max2010maxim [7]

Answer:

exact form: x=-1/2

decimal form: x=-0.5

8 0
3 years ago
Assume that when adults with smartphones are randomly​ selected,41 ​% use them in meetings or classes. If 5 adult smartphone use
kotegsom [21]

Answer:

0.345

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

n = 5, r = 2, p = 0.41, and q = 0.59.

P = ₅C₂ (0.41)² (0.59)⁵⁻²

P = 0.345

3 0
3 years ago
Write two word sentences for the equation of r/0.2=40.
VikaD [51]

Answer:

1) The quotient of r and 0.2 is equal to 40.

2) r divided by 0.2 is equal to 40.

6 0
4 years ago
A car averages 16.8 miles per gallon and uses 265 gallons traveling cross-country. What was the distance the car traveled
Norma-Jean [14]

1 gallon = 16.8 miles

265 gallons = 16.8 x 265 = 4452 miles


Answer: 4452 miles

8 0
3 years ago
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