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Over [174]
3 years ago
12

There are two racks with 40 towels per rack on Tuesday there were €30,000 on Wednesday 50 and on Thursday 25 what fraction on av

erage is in use for the three days
Mathematics
1 answer:
ale4655 [162]3 years ago
8 0

Answer:

\frac{7}{16}

Step-by-step explanation:

We have been given that are two racks with 40 towels per rack. On Tuesday there were 30, on Wednesday 50 and on Thursday 25. We are asked to find the fraction on average that is in use for the three days.  

First of all, we will find total number of towel by multiplying 40 by 2.

\text{Total towels}=2\times 40

\text{Total towels}=80

Now we will find average number of towels used on three days.

\text{Average}=\frac{\text{Sum of numbers}}{\text{Total numbers}}

\text{Average}=\frac{30+50+25}{3}

\text{Average}=\frac{105}{3}

\text{Average}=35

Now we need to calculate 35 is what part of 80 to find the fractional use of towels per day as:

\text{Fractional use of towels per day}=\frac{35}{80}

\text{Fractional use of towels per day}=\frac{7}{16}

Therefore, \frac{7}{16} on average is in use for the three days.

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Answer:

discrete

Step-by-step explanation:

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3 years ago
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PLEASE HELP!! Trevor is writing a paper that must be 50,000 words long. He had already written 23,210 words. Write an inequality
almond37 [142]

Answer:

50,000 ≤ 23,210 + 5x

x = Average number of words per week

Step-by-step explanation:

Start off with 50,000 because that's how many words the paper needs to have.

Use "≤" because Trevor needs to write at least 50,000 words. (He can write more).

Trevor already wrote 23,210 words plus x words per week for 5 weeks.

(Solving for x will help you find the average number of words Trevor must write per week for 5 weeks).

5 0
3 years ago
The value of w???????
goldenfox [79]

Answer:

Step-by-step explanation:

The angle bisector of a triangle divides the opposite side in 2 segments that are proportional to the other 2 sides of the triangle. Namely:

\frac{15}{18}=\frac{w}{30} and cross multiply.

18w = 450 so

w = 25

4 0
3 years ago
The perimeters of similar triangles are in the same ratio as the corresponding sides
wariber [46]

Answer:

Always

Step-by-step explanation:

Suppose you have triangle ABC with side lengths a, b, c. Suppose that is similar to triangle DEF with side lengths d, e, f.

Now, let k be the ratio of corresponding sides ...

  k = d/a

Because the same factor applies to all sides, we also have ...

  k = e/b = f/c

That is, if we multiply by the denominators of each of these fractions, we get ...

  • d = a·k
  • e =b·k
  • f = c·k

The perimeter of ΔABC is ...

   perimeter(ABC) = a + b + c

The perimeter of ΔDEF is ...

  perimeter(DEF) = d + e + f = a·k + b·k + c·k

  perimeter(DEF) = k(a + b + c) = k·perimeter(ABC)

  k = perimeter(DEF)/perimeter(ABC)

That is, the perimeters are in the same ratio as corresponding sides.

3 0
2 years ago
A major baseball diamond is a square with side lengths of 90 feet.
iren2701 [21]

Answer: \bold{a)\quad 90\sqrt2\qquad \qquad b)\quad 45\sqrt2}

<u>Step-by-step explanation:</u>

Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square.  Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.

90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\\sqrt{16200}=c\\\boxed{90\sqrt2}=c\qquad \qquad \text{which is approximately 127.28}\\\\\\\\\text{Halfway between home plate and 2nd base means divide that length by 2:}\\\\\dfrac{90\sqrt2}{2}=\boxed{45\sqrt2}

7 0
3 years ago
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