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AURORKA [14]
2 years ago
15

a wedding caterer has made 99 cups of fruit salad to serve to guest. a serving is 5/8 cup. How many guest will the fruit salad s

erve
Mathematics
1 answer:
masha68 [24]2 years ago
5 0

I think it's about 158 cups, when rounded.

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7 0
3 years ago
Is the expression 4 - x the same as x – 4? Explain
jarptica [38.1K]

Answer:

Yes

Step-by-step explanation:

The order of the factors does not alter the product

4 0
3 years ago
Read 2 more answers
Suppose after 2500 years an initial amount of 1000 grams of a radioactive substance has decayed to 75 grams. What is the half-li
krok68 [10]

Answer:

The correct answer is:

Between 600 and 700 years (B)

Step-by-step explanation:

At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:

A(t) = A_0 e^{(kt)}\\where:\\A(t) = Amount\ left\ at\ time\ (t) = 75\ grams\\A_0 = initial\ amount = 1000\ grams\\k = decay\ constant\\t = time\ of\ decay = 2500\ years

First, let us calculate the decay constant (k)

75 = 1000 e^{(k2500)}\\dividing\ both\ sides\ by\ 1000\\0.075 = e^{(2500k)}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.075 = In (e^{2500k})\\In 0.075 = 2500k\\k = \frac{In0.075}{2500}\\ k = \frac{-2.5903}{2500} \\k = - 0.001036

Next, let us calculate the half-life as follows:

\frac{1}{2} A_0 = A_0 e^{(-0.001036t)}\\Dividing\ both\ sides\ by\ A_0\\ \frac{1}{2} = e^{-0.001036t}\\taking\ natural\ logarithm\ of\ both\ sides\\In(0.5) = In (e^{-0.001036t})\\-0.6931 = -0.001036t\\t = \frac{-0.6931}{-0.001036} \\t = 669.02 years\\\therefore t\frac{1}{2}  \approx 669\ years

Therefore the half-life is between 600 and 700 years

5 0
3 years ago
PLS HELP!! IM ALMOST DONE AND WILL GIVE BRAINLIEST TO WHOEVER GETS THEM RIGHT!
Valentin [98]

Answer:

Step-by-step explanation:

324

-54  -6

-18  3  -2

6  -3  -1  2

-2   -3   1   -1  -2

6 0
2 years ago
Ateacher uses 36 centimeters of tape to hang up 9 student projects. At that rate
Troyanec [42]

The teacher would need 40 centimeters of tape to hang 10 student projects.

Step-by-step explanation:

Given,

Tape used to hang projects = 36 centimeters

Number of projects hanged = 9

We will find unit rate;

9 projects = 36 centimeters

1 project = \frac{36}{9}\ centimeters

1 project = 4 centimeters

Therefore,

Tape needed to hang 10 projects = 4*10 = 40 centimeters

The teacher would need 40 centimeters of tape to hang 10 student projects.

Keywords: unit rate, multiplication

Learn more about unit rate at:

  • brainly.com/question/11203617
  • brainly.com/question/11253316

#LearnwithBrainly

3 0
3 years ago
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