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liberstina [14]
3 years ago
10

Pls can anyone help with this with clear steps​

Mathematics
2 answers:
stealth61 [152]3 years ago
8 0

Answer:

Let the age of Aman's son is x years.

So the age of Aman will be 3x years.

Ten years ago, the age of Aman's son = x - 10 and Aman's age = 3x - 10.

So according to question,

5(x - 10) = 3x - 10

or 5x - 50 = 3x - 10

Transposing 3x to the LHS and -50 to the RHS:

5x - 3x = -10 + 50 = 40

or 2x = 40

or x = 20

So Aman's age = 3x = 60 years and

Aman's son's age = x = 20 years.

drek231 [11]3 years ago
5 0
I hope this answer will help you

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How many words of five letters can be created that start with the letter T, contain 2 other consonats and end with 2 vowels? Not
Jet001 [13]

If we're only counting 5 vowels (A, E, I, O, U) and 20 consonants (everything else, minus T), then there are

\dbinom52=\dfrac{5!}{2!(5-2)!}=10

ways of picking the vowels, and

\dbinom{20}2=\dfrac{20!}{2!(20-2)!}=190

ways of picking the consonants.

We want the word to start with T, and we'll allow any arrangement of the other 4 letters, so that the total number of words is

4!\dbinom52\dbinom{20}2=\boxed{45,600}

Keep in mind that this means words like TRIES and TIRES are treated as different.

8 0
3 years ago
The national average sat score (for verbal and math) is 1028. if we assume a normal distribution with standard deviation 92, wha
elena55 [62]

Let X be the national sat score. X follows normal distribution with mean μ =1028, standard deviation σ = 92

The 90th percentile score is nothing but the x value for which area below x is 90%.

To find 90th percentile we will find find z score such that probability below z is 0.9

P(Z <z) = 0.9

Using excel function to find z score corresponding to probability 0.9 is

z = NORM.S.INV(0.9) = 1.28

z =1.28

Now convert z score into x value using the formula

x = z *σ + μ

x = 1.28 * 92 + 1028

x = 1145.76

The 90th percentile score value is 1145.76

The probability that randomly selected score exceeds 1200 is

P(X > 1200)

Z score corresponding to x=1200 is

z = \frac{x - mean}{standard deviation}

z = \frac{1200-1028}{92}

z = 1.8695 ~ 1.87

P(Z > 1.87 ) = 1 - P(Z < 1.87)

Using z-score table to find probability z < 1.87

P(Z < 1.87) = 0.9693

P(Z > 1.87) = 1 - 0.9693

P(Z > 1.87) = 0.0307

The probability that a randomly selected score exceeds 1200 is 0.0307

5 0
3 years ago
Explain how you could use a number line to show that -4+3 and 3+(-4) have the same value.which property of addition states that
Anna007 [38]
For -4+3,
1. start with zero
2. move to left (-x axis) for 4 units (-4)
3. then move to right (+x axis) for 3 units (+3)

For 3+(-4)
1. Start with zero
2. Move the point to right side by 3 units (+3)
3. then move the point to the left by 4 units (-4)

For both you'll stop at -1.

8 0
3 years ago
DO, -2(x, y) ----- (3, 5).
Alenkinab [10]

Answer:

C (-6,10) - A)x^7-0.1/4

Step-by-step explanation:

Hope this helps

3 0
3 years ago
Read 2 more answers
0.5y/4/9=y+3/8
PIT_PIT [208]

Step-by-step explanation:

The question needs to be more specific. But assuming it is 0.5y/(4/9), I will solve it.

This would make it 4.5y/4 =y + 3/8

- Multiply 4 to both sides

4.5y = 4y + 12/8

- Subtract 4y to both sides

0.5y = 12/8

- Divide both sides by 0.5

y = 3

Now plug in to check.

0.5(3)/(4/9)=3+3/8

Both equals 3.375!

If this helped, please feel free to pick this answer as the brainliest! Thank you very much and have a wonderful day!

8 0
3 years ago
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