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GREYUIT [131]
3 years ago
12

Alima is solving a question, where a given number has to be multiplied by 15. Alima did not read the question carefully, and mul

tiplied the number by 5 (instead of 15). If her answer is 150 less than the correct answer, find the given number.
Mathematics
1 answer:
loris [4]3 years ago
3 0

x    -  Alma's given number

15•x  -  the number multiplied by 15 (the correct answer)

5•x   - the number multiplied by Alma (Alma's answer)

her answer is 150 less than the correct answer:

5•x = 15•x - 150

15x - 150 = 5x

15x - 5x = 150

 10x = 150

   <u>x = 15</u>

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(4/5) / 8....when ur dividing with fractions, flip what u r dividing by, then multiply

4/5 * 1/8 = 4/40 reduces to 1/10 <=
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3 years ago
30,000 rounded to the nearest thousand. what is the largest number and what is the lowest.
denis23 [38]
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5 0
3 years ago
The Venn diagram shows the results of two events resulting from rolling a number cube.
tankabanditka [31]

Answer:

P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{1}{3}

P(A) =\frac{2}{3}

P(B) =\frac{1}{2}.

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

So

P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

So

P(A) = \frac{4}{6} = \frac{2}{3}

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

So

P(B) = \frac{3}{6} = \frac{1}{2}.

Now

P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}

6 0
3 years ago
Let a, b, c, and d be non-zero real numbers. If the quadratic equation ax(cx + d) = -b(cx+d) is solved for x, which of the follo
LiRa [457]

Answer:

Option d

Step-by-step explanation:

given that a, b, c, and d be non-zero real numbers.

ax(cx + d) = -b(cx+d) \\acx^2+x(ad+bc)+bd =0

we can factorise this equation by grouping

(acx^2+xad)+)xbc+bd) =0\\ax(cx+d) +b(cx+d) =0\\(ax+b)(cx+d) =0

Equate each factor to 0 to get

x=\frac{-b}{a} , \frac{-d}{c}

Ratio of one solution to another would be

\frac{-b}{a} / \frac{-d}{c} \\=\frac{ad}{bc}

So ratio would be ad/bc

Out of the four options given, option d is equal to this

So option d is right

4 0
3 years ago
One serving of mikes crackers has 120 calories and a mass of 30 grams . How many calories are in 10 grams of the crackers
Vikki [24]
30÷10=3
120÷3=40. As a result, there are 40 calories in 10 grams of the crackers. Hope it help!
7 0
3 years ago
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