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3 years ago

Solve for n. 60 = n/3 + 52

Mathematics

2 answers:

aniked [119]3 years ago

7 0

60= n/3 + 52
-52. -52
8= n/3
You then take 3/1 times 8 therefore you leave n by itself
n = 24

Leni [432]3 years ago

4 0

Answer:

n = 24

Step-by-step explanation:

60= n/3 + 52

-52. -52

8= n/3

You then take 3/1 times 8 therefore you leave n by itself

n = 24

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A telephone solicitor is responsible for canvassing three suburbs. In the past, 60% of the completed calls to Belle Meade have r

nadezda [96]

Answer:

There is a 46.25% probability that she receives a donation.

Step-by-step explanation:

We have to divide these probabilities in 2.

First the probability that each suburb donates.

There is a 60% probability that a person from Belle Meade donates

There is a 55% probability that a person from Oak Hill donates.

There is a 35% probability that a person from Antioch donates.

Now the probability that she calls each suburb.

The probablem states that her list of telephone numbers includes one thousand households from Belle Meade, one thousand from Oak Hill, and two thousand from Antioch. In all, she has 4000 total telephone numbers.

She has 1000 numbers from Belle Maede. So there is a 1000/4000 = 25% probability that she calls a person from Belle Maede.

She has 1000 numbers from Oak Hill. So there is a 1000/4000 = 25% probability that she calls a person from Oak Hill.

She has 2000 numbers from Antioch. So there is a 2000/4000 = 50% probability that she calls a person from Antioch.

What is the probability that she gets a donation?

$P = P_{1} + P_{2} + P_{3}$

$P_{1}$ is the probability the she randomsly choses a person from Belle Maede and receives a donation. So:

$P_{1} = 0.6*0.25 = 0.15$

$P_{2}$ is the probability the she randomsly choses a person from Oak Hill and receives a donation. So:

$P_{2} = 0.55*0.25 = 0.1375$

$P_{3}$ is the probability the she randomsly choses a person from Antioch and receives a donation. So:

$P_{2} = 0.35*0.50 = 0.175$

$P = P_{1} + P_{2} + P_{3} = 0.15 + 0.1375 + 0.175 = 0.4625$

There is a 46.25% probability that she receives a donation.

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3 years ago

A vineyard owner hires 25 people to harvest grapes. The vineyard covers 30 acres. The harvest takes 9 days to complete. A neighb

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Answer: 30 people

In the first vineyard, it needs 25 people working for 9 days to finish 30 acres of vineyard. Using this information you can determine the worker speed. The number of worker and days were given will increase the speed, but the area of the vineyard will decrease it. The calculation would be:

Worker speed= worker number * times given / vineyard area
Worker speed= 25 people * 9 days / 30 acres = 7.5 people days /acres

Applying the same calculation into the second vineyard would be:
Worker speed= worker number * times given / vineyard area
7.5 people days /acres = worker number * 5 days / 20 acres
Worker number= (7.5 people days /acres ) / 5 days x 20 acres= 30 people

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3 years ago

In his suitcase, Jack has 3 shirts, 4 pants, 2 socks (pairs of socks), and 2 shoes (pairs of shoes). How many unique ways can Ja

kipiarov [429]

Answer:

Step-by-step explanation:

the number of shirts are 3, number of pants 4, number of socks pairs 2 and 2 pairs of shoes.

first lets start with shirts and pants, number of unique combinations are,

(for each shirt there are 4 different pant combinations) = $(3)(4)$

=12

similiarly for each shirt pant pair there are 2 shoes and 2 socks pairs.

thus, total number of combinations are=

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4 years ago

Find the length of the line segment inside the rectangular prism.

disa [49]

To find the length of the yellow segment, we have to use Pythagorean's Theorem. But first, we have to find the length of the black line at the bottom.

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Where a = 4ft and b = 9ft.

$\begin{gathered} c^2=4^2+9^2 \\ c^2=15+81 \\ c=\sqrt[]{96} \\ c\approx9.8 \end{gathered}$

So, the length of the black segment is 9.8 feet.

Now, we find the yellow line length

$c^2=a^2+b^2$

Where a = 4 and b = 6.

$\begin{gathered} c^2=4^2+6^2 \\ c^2=16+36 \\ c^2=52 \\ c=\sqrt[]{52} \\ c\approx7.2 \end{gathered}$ <h2>Therefore, the length of the yellow line is 7.2 feet.</h2>

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2 years ago

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Gala2k [10]

Answer:

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3 years ago

Read 2 more answers