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3 years ago

Ishaan is 3 times as old as Christopher and is also 14 years older then Christopher. How old is ishaan?

Mathematics

1 answer:

rosijanka [135]3 years ago

4 0

I=Ishaan
C=Christopher
I/3=C
I-14=C
Substitute
I/3=I-14
I=3I-42
-2I=-42
Ishann = 21

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The product of 7 and X is 90. write an equation to represent the statement

My name is Ann [436]

Answer:

x=90/7

Step-by-step explanation:

7x=90

x=90/7

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3 years ago

Read 2 more answers

J) You spend $35. Tip is 15%. How much did you pay in total?

rusak2 [61]

Answer:

You paid $40.25 in total.

Step-by-step explanation:

In this question:

Spending of 35%

Tip of 15% means that 15% of 35 will be added to your total spending. So

$T = 35 + 0.15*35 = 35 + 5.25 = 40.25$

You paid $40.25 in total.

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3 years ago

A coin is flipped 10 times where each flip comes up either heads or tails. How many possible outcomes (a) contain exactly two he

Tems11 [23]

Answer:

a. 45

b. 176

c. 252

Step-by-step explanation:

First take into account the concept of combination and permutation:

In the permutation the order is important and it is signed as follows:

P (n, r) = n! / (n - r)!

In the combination the order is NOT important and is signed as follows:

C (n, r) = n! / r! (n - r)!

Now, to start with part a, which corresponds to a combination because the order here is not important. Thus

n = 10

r = 2

C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

There are 45 possible scenarios.

Part b, would also be a combination, defined as follows

n = 10

r <= 3

Therefore, several cases must be made:

C (10, 0) = 10! / 0! * (10-0)! = 10! / (0! * 10!) = 1

C (10, 1) = 10! / 1! * (10-1)! = 10! / (1! * 9!) = 10

C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

C (10, 3) = 10! / 3! * (10-3)! = 10! / (2! * 7!) = 120

The sum of all these scenarios would give us the number of possible total scenarios:

1 + 10 + 45 + 120 = 176 possible total scenarios.

part c, also corresponds to a combination, and to be equal it must be divided by two since the coin is thrown 10 times, it would be 10/2 = 5, that is our r = 5

Knowing this, the combination formula is applied:

C (10, 5) = 10! / 5! * (10-5)! = 10! / (2! * 5!) = 252

252 possible scenarios to be the same amount of heads and tails.

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3 years ago

What is the equation of a line that is parallel to -x+3y=6 and passes through the point (3,5)?

Elena-2011 [213]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

We have the following line:

$-x + 3y = 6\\3y = x + 6\\y = \frac {1} {3} x + \frac {6} {3}\\y = \frac {1} {3} x + 2$

Thus, the slope is: $m_ {1} = \frac {1} {3}$

Then $m_ {2} = \frac {1} {3}$

So, the line is of the form:

$y = \frac {1} {3} x + b$

We substitute the point $(x, y) :( 3,5)$ and find b:

$5 = \frac {1} {3} (3) + b\\5 = b$

Thus, the equation is:

$y = \frac {1} {3} x + 5$

Answer:

$y = \frac {1} {3} x + 5$

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3 years ago

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Whitepunk [10]

Answer:

Step-by-step explanation:

y = 4 - 3x + x^2 is to be rewritten in standard form. To do this, rearrange the terms in order of powers of x, from highest to lowest.

y = 4 - 3x + x^2 becomes y = x^2 - 3x + 4

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3 years ago