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3 years ago

Y=12x Do x and y vary directly ?

Mathematics

1 answer:

77julia77 [94]3 years ago

6 0

Answer:

Yes, they vary directly

Step-by-step explanation:

y=kx; k is the constant (12 in this case) and as x increases y increases, so they vary directly

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You have a bag with 2 red marbles, 1 blue marble, 5 white marbles, 8 green marbles, and 14 yellow marbles. What is p(not yellow)

user100 [1]

Answer:

2 + 1 + 5 + 8 + 14 = 30 total marbles

30-14 yellow marbles = 16

16/30 = probability of not yellow

3 0

3 years ago

Prove that when x > 1, a triangle with side lengths a = x2 − 1, b = 2x, and c = x2 + 1 is a right triangle. Use the Pythagore

klemol [59]

First we need to see the pythagorean formula which is

$a^2 + b^2 = c^2$

Substituting the given values of a,b , we will get

$(x^2 -1)^2 + (2x)^2$

$= x^4 +1 -2x^2 +4x^2$

$= x^4 +1 +2x^2$

$= (x^2 +1)^2$

And

$(x^2 +1)^2 = c^2$

So we have

$a^2 + b ^2 = c^2$

So the given triangle is a right triangle .

4 0

3 years ago

charity is four times as old as her daughter. she is also six years younger than her husband. The sum of their ages ten years to

Pachacha [2.7K]

Answer:

36years

Step-by-step explanation:

Let charity present age be x

Charity daughter present age be y

Charity husband present age be z

If the sum of their ages ten years to come is 117, then;

10+x+10+y+10+z = 117

30+x+y+z = 117

x+y+z = 87 ... 1

If charity is four times as old as her daughter, then;

x = 4y

y = x/4 ... 2

If she is also six years younger than her husband, then;

x = z- 6

z = x+6 .. 3

Substitute 2 and 3 into 1;

x + x/4 + (x+6) = 87

Multiply through by 4

4x + x + 4(x+6) = 4(87)

5x+4x+24 = 348

9x = 348 - 24

9x = 324

x = 324/9

x = 36

hence Charity is 36years old today

5 0

3 years ago

The price of an article on sale was 80% of the regular price. If the sale price was $56, what was the regular price?

dsp73

Answer:

regular price = 70

Step-by-step explanation:

you are paying 80 percent of the regular price

regular price * 80 percent = new price

regular price * .8 = 56

divide by .8 on each side

regular price *.8 /.8 = 56/.8

regular price = 70

7 0

4 years ago

Which of the following statements best describes the location of -(-1) on a number line?

Novosadov [1.4K]

Answer:

Step-by-step explanation:

-(-1) is 1 because if you multiply by a negative number becomes positive

it is 1 unit to the right of 0

8 0

3 years ago