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Marina86 [1]
3 years ago
15

A hostel has enough food for 125 students for 16 days. How long will the food last if 75 more students join them?

Mathematics
2 answers:
Zolol [24]3 years ago
6 0


16 divided by 125 is .128
125 plus 75 is 200
.128 multiplied by 200 is 25.6 days
Kisachek [45]3 years ago
6 0

Answer:

16 divided by 125 is .128

125 plus 75 is 200

.128 multiplied by 200 is 25.6 days

Step-by-step explanation:

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Y_Kistochka [10]

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8. 24

9.55.3

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3 years ago
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A study on the population of wolves is being done in a county to determine how the number of wolves has changed over time. The p
mr_godi [17]

Answer:

<h2>The year is 2010.</h2>

Step-by-step explanation:

The population of wolves is given by P(t) = 80(0.98)t.

The study has began in the year of 2000 and will end in 2020.

The difference between 2000 and 2009 is 9 years and the difference between 2009 and 2020 is 11 years.

Hence, the maximum value of t is 11.

The domain is 0 \leq t \leq 11.

The population will be 80, that is P(t) = 80.

Hence, 0.98t = 1, or, t = \frac{1}{0.98} = \frac{100}{98}  = \frac{50}{49} ≅1.

In (2009 + 1) = 2010, the population of wolves will be 80.

3 0
3 years ago
Kim is x years old. Jordan is 9 years older than Kim. Five times Jordan’s age is equal to 110.
soldi70 [24.7K]

J=9+x

5J=110

A) 110=5(9+x)

110=45+5x

65=5x

13=x

B) Kim is 13 years old

J=9+x

J=9+13

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C) Jordan is 22 years old

6 0
3 years ago
A segment in the complex plane has a midpoint at –1 + i. If the segment has an endpoint at –5 – 7i, what is the other endpoint?
morpeh [17]

Answer:

The other end point is: s+ti = 3+9i

Step-by-step explanation:

Mid-Point(M) in the complex plane states that the midpoint of the line segment joining two complex numbers a+bi and s+ti is the  average of the numbers at the endpoints.

It is given by:    M = \frac{a+s}{2} +(\frac{b+t}{2})i

Given: The midpoint = -1 + i and the segment has an endpoint at -5 - 7i

Find the other endpoints.

Let a + bi = -5 -7i  and let other endpoint s + ti (i represents imaginary )

Here, a = -5 and b = -7 to find s and t.

then;

-1+i = \frac{-5+s}{2} + ( \frac{-7+t}{2})i     [Apply Mid-point formula]

On comparing both sides

we get;

-1 = \frac{-5+s}{2}  and  1 = \frac{-7+t}{2}

To solve for s:

-1 = \frac{-5+s}{2}

or

-2 = -5+s

Add 5 to both side we have;

-2+5 = -5+s+5

Simplify:

3 = s or

s =3

Now, to solve for t;

1 = \frac{-7+t}{2}

2 =-7+t

Add 7 to both sides we get;

2+7 = -7+t+7

Simplify:

9 = t

or

t =9

Therefore, the other end point (s+ti) is, 3+9i




4 0
3 years ago
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Enter the fraction as a decimal and as a percent.
BaLLatris [955]
As a decimal .375 as a percentage it would be 37.5
4 0
3 years ago
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