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mote1985 [20]
3 years ago
11

Convert 2.5 to a fraction in simplest form

Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0
1. You times 2.5 by 10 (because there is 1 decimal point) which then equals 25/10.
2. Then you reduce 25/10 by 5, so it will be in simples form. And your answer is 5/2!

Hope this helped and Good Luck! :D
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In a survey, four out of five people surveyed preferred creamy over chunky peanut butter. 120 people are shopping at the grocery
elixir [45]

Answer: Around 96 people would prefer creamy peanut butter.

Step-by-step explanation:

In the survey was found that 4 out of 5 preferred creamy over chunky peanut butter.

Then the relative frequency is:

4/5 = 0.8 prefer creamy peanut butter.

And we can assume that:

1/5 = 0.2 prefer chunky peanut butter.

We also could multiply these numbers by 100% to obtain the percentage forms:

0.8*100% = 80%

0.2*100% = 20%

Now, if there are 120 people in the grocery store, we can expect that the 80% will prefer creamy peanut butter.

Then we can expect that the number of people that prefers creamy peanut butter is:

N = (80%/100%)*120 = 0.8*120 = 96

Around 96 people would prefer creamy peanut butter.

3 0
2 years ago
Simplify -3x^2-5x^2(4x^3-x^2)2
PSYCHO15rus [73]

Let's simplify step-by-step.

−3x2−5x2(4x3−x2)(2)

Distribute:

=−3x2+−40x5+10x4

Answer:

=−40x5+10x4−3x2

8 0
3 years ago
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
9x - 7x + 10 = 18; 3 plz help it's solution to equations. ​
zhenek [66]

Answer:

9x - 7x + 10 = 18 \\ x(9 - 7) = 18 - 10 \\ 2x = 8 \\ x =  \frac{8}{2}  \\  \\ { \boxed{ \boxed{x = 4}}}

3 0
2 years ago
Read 2 more answers
A bag of cat food contains 4 pounds. Each serving is 1/4 of a cup. How many servings are in the bag?
Alina [70]

Answer:

16

Step-by-step explanation:

each pound has 3.6 cups

1/4 of a pound can be multiplied

3.6 x 1/4 =  0.9

then we subtract 4 - 3.6 = 0.4 say if the question was for one pound

But we have to find  14.4 cups instead as;

3.6 x 4 = 14.4 = 4 pounds

We go back to 0.9 are first smaller serving = 1/4 cup

14.4/0.9 = 16

8 0
2 years ago
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