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3 years ago

What’s 4/5 times 2/3

Mathematics

2 answers:

maxonik [38]3 years ago

6 0

Answer:

8/15

Step-by-step explanation:

When multiplying fractions, simply multiply the numbers straight across. First, multiply the numerators to get 8. Then, multiply the denominators and you'll get 15.

lbvjy [14]3 years ago

6 0

Answer:
8/15
Why?
Multiply the denominators together and the numerators together, giving you your answer. Like so;
4/5*2/3 = 8/15

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How do I simplify this?

Fudgin [204]

This is the theory of algebra, to simply the expression we proceed as follows;
[sqrt(x-2)+5/sqrt(x-2)]/(x-2)
simplifying the numerator we get:
sqrt(x-2)+5/sqrt(x-2)
=[x-2+5]/sqrt(x-2)
=(x+3)/sqrt(x-2)
therefore our entire expression will be:
[(x+3)/sqrt(x-2)]/(x-2)
[(x+3)/(x-2)^(1/2)]*1/(x-2)
applying the law if indices we get
=(x+3)/(x-2)^(3/2)

7 0

3 years ago

Write 2/15 as a decimal.

Cloud [144]

If you need to write a number as a decimal, it means that you need to write is a an x divided by a power of 10.
you can use this formula:
$\frac{2}{15} = \frac{x}{10}$

now let's multiply both sides by 10:
$\frac{20}{15} = x$
and simplyfy:
(by dividing the first fraction's elements by 5)
$\frac{4}{3} = x$

change improper fraction into a mixed number
$1\frac{1}{3} = x$

and 1 over 3 is 0.33333...

so the answer is 1.333333 - we can also write it as 1.(3)

5 0

3 years ago

For the annual rate of change of +70%, find the corresponding growth or Decay Factor.

omeli [17]

Hello there!
1. Okay. So 70% is positive, so it is a corresponding growth. 70% is 0.7 in decimal form. C and D are both eliminated, because that's too large. When something grows by 70%, that is less than double. 0.7 is not right either, because that's more of a decay than a growth. The only answer that makes sense id 1.70, because you are going up, and adding 1 to decimal form brings you to the decimal that when multiplied will bring you to the total. The answer is B: 1.70.

2. So, -75% is negative, so it is a decay factor. A is eliminated, because it makes no sense and B is out, because that represents growth, not decay. You lose 75% of the amount overtime compounded, but you still have 25% that remains. To find that amount, you would subtract that amount from 1 to get the decay. 1 - 0.75 is 0.25. The decay factor is 0.25. The answer is D: 0.25.

4 0

3 years ago

a patients dose of medication increased from 100mg to 150mg. What is the percent increase in medication?

lord [1]

Answer:

The answer is 50% increase. Hope this helped!

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Are this two triangles similar?

Alex73 [517]

<h3>Answer: </h3><h3>Yes, the triangles are similar</h3><h3>AC = 6</h3>

======================================================

Explanation:

Focus on triangle ABC. Let's find the missing angle

A+B+C = 180

113+B+22 = 180

B+135 = 180

B = 180-135

B = 45

Between the triangles, have two pairs of angles that are congruent

A = D = 113

B = E = 45

Which is enough to prove the triangles are similar through the angle angle (AA) similarity theorem. This must mean that C = F = 22

Since we have A pair with D, and B pair with E, this means that $\triangle ABC \sim \triangle DE F$

The order of the letters is important so we know how the angles pair up. The first letters pair up together, the second letters pair up, and so on.

Consequently, this means sides BC and EF pair up and AC and DF pair up

We can then say...

BC/EF = AC/DF

18/12 = x/4

18*4 = 12*x

72 = 12x

12x = 72

x = 72/12

x = 6

AC = 6

5 0

3 years ago