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Furkat [3]
4 years ago
15

Three siblings- Kate, Sarah, and Dave- committed themselves to volunteer 160 hours for a homeless charity to build new housing .

Dave worked 15 hours more than Kate. Sarah worked 5 hours fewer than Kate. How many hours did each of this siblings volunteer?
Mathematics
1 answer:
liraira [26]4 years ago
6 0

Kate worked for 50 hours, Dave worked for 65 hours and Sarah

worked for 45 hours

Step-by-step explanation:

Three siblings- Kate, Sarah, and Dave- committed themselves to

volunteer 160 hours for a homeless charity to build new housing

1. Dave worked 15 hours more than Kate

2. Sarah worked 5 hours fewer than Kate

3. The total hours for them is 160 hours

Assume that Kate worked for x hours

∵ Kate worked for x hours

∵ Dave worked 15 hours more than Kate

∴ Dave worked for x + 15 hours

∵ Sarah worked 5 hours fewer than Kate

∴ Sarah worked x - 5 hours

∵ They worked for 160 hours

- Add the number of worked hours of them and equate the sum

  by 160

∴ x + x + 15 + x - 5 = 160

- Add like terms in the left hand side

∴ 3x + 10 = 160

- Subtract 10 from both sides

∴ 3x = 150

- Divide both sides by 3

∴ x = 50 hours

∵ Kate worked for x hours

∴ Kate worked for 50 hours

∵ Dave worked for x + 15 hours

∴ Dave worked for 50 + 15 = 65 hours

∵ Sarah worked for x - 5 hours

∴ Sarah worked for 50 - 5 = 45 hours

Kate worked for 50 hours, Dave worked for 65 hours and Sarah

worked for 45 hours

Learn more:

You can learn more about equation in brainly.com/question/11229113

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

f(x) = 3x^2 + 2x – 1

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your classroom received 150 books. You are placing them in bins. Each bin holds 20 books. How man bins do you need?
Serhud [2]
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7 0
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What is the equation of the line that is perpendicular to the given line and has an x-intercept of -3?
Anvisha [2.4K]

Answer:

y=-\frac{3}{2}x-\frac{9}{2}

Step-by-step explanation:

Let the equation of the perpendicular line is,

y = mx + b

where m = slope of the line

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From the graph, slope of the line passing through (0, -1) and (3, 1),

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To get the slope (m) of this line we will use the property of perpendicular lines,

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Equation of the perpendicular line will be,

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x-intercept of the line is (-3) therefore, point on the line is (-3, 0)

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Equation of the line will be,

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3 0
3 years ago
Edward was running errands on his bike first to be like from his house to the post office to pick up a package the post office i
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Answer:

Edward drove altogether of 16.1 miles.

Step-by-step explanation:

Given:

Edward was Running around on his bike.

Distance from home to post office = 4 \frac{4}{5} \ miles

4 \frac{4}{5} \ miles can be Rewritten as 4.8 \ miles

Distance from home to post office = 4.8 \ miles

Now Given:

Distance from Post office to market = 3.25 miles.

Now we will calculate Distance from Home to market.

Distance from Home to market can be calculated by adding Distance from home to post office and Distance from Post office to market.

Framing in equation form we get;

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Also Given:

his mother picked him up at the market and drove him home.

We need to find the total miles Edward drive altogether.

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framing in equation form we get;

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5 0
3 years ago
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Answer:

in steps

Step-by-step explanation:

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6 0
3 years ago
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