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tigry1 [53]
4 years ago
15

P(A) = 8/15

Mathematics
1 answer:
In-s [12.5K]4 years ago
6 0

Answer:

Step-by-step explanation:

note :  P(AUB) = p(A)+p(B) - p(A∩B)

P(AUB) = 8/15+6/15- 1/5 = 8/15+6/15-3/15 = 11/15 answer : B

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Caroline, Krutika and Natasha share some sweets in the ratio 4:3:3. Caroline gets 9 more sweets than Natasha. How many sweets do
vagabundo [1.1K]

Answer:

Krutika gets 27 sweets

Step-by-step explanation:

Let

x ---> number of sweets that Caroline gets

y ---> number of sweets that Krutika gets

z ---> number of sweets that Natasha gets

we know that

x:y:z=4:3:3

so

\frac{x}{y}=\frac{4}{3}

x=\frac{4}{3}y ----> equation A

\frac{x}{z}=\frac{4}{3}

x=\frac{4}{3}z ----> equation B

y=z ---> equation C

Caroline gets 9 more sweets than Natasha

so

x=z+9 ---> equation D

substitute equation D in equation B

z+9=\frac{4}{3}z

solve for z

\frac{4}{3}z-z=9

\frac{1}{3}z=9\\z=27\ sweets

therefore

Krutika gets 27 sweets

3 0
3 years ago
Which of the following is a counterexample of, "All rational numbers are integers"? is not an integer. 3 is an integer. -1 is a
Sever21 [200]

Answer:

It is (almost certainly) the first choice, however, you omitted the actual example there. See below.

Step-by-step explanation:

A counter-example to "All rational numbers are integers" is easy to find - it is any fraction that is reduced to simplest form and its denominator (bottom part) is not 1. Examples: 2/3, 7/5, 11/13 are all not integers but rational numbers and therefore are counter-examples to the statement. The statement is thus disproven. Please check your question - there is a value with the first choice that is likely one such fraction.

The remaining 3 choices to your answer are all not applicable.

4 0
3 years ago
Read 2 more answers
Find two numbers such that the sum of the first and three times the second is 5 and the sum of the second and two times the firs
Sav [38]

Answer:

first number= 19/5

second number= 2/5

Step-by-step explanation:

first number= a

second number= b

a+3b=5   equation 1

b+2a=8  equation 2

using equation 2 we have

b=8-2a

using equation 1 we have

a+3(8-2a)=5  

a+24-6a=5

24-5=6a-a

19=5a

a=19/5 = first number

so using b=8-2a

we have

b=8-2(19/5)

b=8-(38/5)

b=2/5 = second number

4 0
4 years ago
Can you help with #15 please on fractions
Verdich [7]
The answer is C because a fraction is part of the whole, therefore making. The answer less than the whole number
7 0
3 years ago
Read 2 more answers
Find the volume of the trapezoidal prism
malfutka [58]

Answer:

228 in³

Step-by-step explanation:

<u>Volume of a trapezoidal prism</u>

  • V = Area x height

<u>Finding Base Area (on the side here)</u>

  • A = 1/2 x (a + b) x h
  • A = 1/2 x (12 + 7) x 6
  • A = 3 x 19
  • A = 57 in²

<u>Volume</u>

  • V = A x h
  • V = 57 x 4
  • V = 228 in³
4 0
2 years ago
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