MATHEMATICS HIGH SCHOOL

The sum of two numbers is 30. Their difference is 6. What are the numbers?6 and 24
12 and 18
10 and 20
8 and 14

Answers

Answer 1
Answer:

Answer:

Find out the numbers .

To prove

Let us assume that one number be x.

Let us assume that second number be y.

As given

The sum of two numbers is 30.

Than the equation becomes

x + y = 30

Their difference is 6.

x - y = 6

Thus two equation are .

x + y = 30 and x - y = 6

Subtracted  x - y = 6 from x + y = 30

x - x + y - (-y) = 30 - 6

y + y  = 24

2y = 24

y = (24)/(2)

y = 12

Put in the x - y = 6

x - 12 = 6

x = 6 + 12

x = 18

Therefore the two numbers are 12 and 18 .
Answer 2
Answer: Okay lets start by getting rid of the ones that don't have a difference of 6. We are now left with '12 and 18' and '6 and 14'. If we take a look we can see that '6 and 14' add up to 20. So it is clear that only '12 and 18' add up to 30 and have a difference of 6.

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Which of these choices is the length of the leg of a 45-45-90 triangle with a hypotenuse of 20? Select one:
a. 10
b. 20
c. 102√102
d. 202√

Answers

Answer:  The correct choice is 10√2 units.

Step-by-step explanation:  We are given to select the correct choice that gives the length of the leg of a 45-45-90 triangle with a hypotenuse of 20.

Since the given triangle is an isosceles right-angled triangle, so let x units be the length of each of the legs.

Using the Pythagoras theorem, we get

x^2+x^2=20^2\n\n\Rightarrow 2x^2=400\n\n\Rightarrow x^2=(400)/(2)\n\n\Rightarrow x^2=200\n\n\Rightarrow x=\pm√(2*100)\n\n\Rightarrow x=\pm10\sqrt2.

Since x is the length of the leg of the given triangle, so we get

x = 10√2 units.

Thus, the correct choice is 10√2 units.
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3/4-2/3 in lowest tems

Answers

Answer:

1/12

Step-by-step explanation:

First, find common denominators. Note that what you do to the denominator, you must do to the numerator.

(3/4)(3/3) = 9/12

(2/3)(4/4) = 8/12

Subtract:

9/12 - 8/12 = 1/12

1/12 is your answer.

~

Answer:

1/12

Step-by-step explanation:

(3)/(4) - (2)/(3) \n \n = (3 * 3)/(4 * 3) - (2 * 4)/(3 * 4) \n \n = (9)/(12) - (8)/(12) \n \n = (9 - 8)/(12) \n \n = (1)/(12) \n

Some students attend school 180 of the 365 days in a year. About what part of the year do they attend school?

Answers

If 365 is 100% and 180 is about 50% then your answer is 50%.

Identify the roots of the function g(x) = x^2 - 8x + 16

Answers


A function doesn't have roots until you give it a numerical value.
Then, the roots are the values of the variable that give the function
that value.

For example, if you said that  g(x) = 0,
then the roots would both be  x = 4 .

But if you said that  g(x)=16, then
the roots would be  x=0  and  x=8 .
A function is not this but for example g times x is

Every function pairs __________ output value with one input valuea. more than one
b. at least one
c. exactly one

Answers

Every function pairs exactly one output value with one input value. The correct answer is C, exactly one. 

Answer:it is c exactly one.

Step-by-step explanation:

The sales tax is 6% and the item is $110.00. How much do I add for sales tax?

Answers

$6.60

6% of $110 is 33/5
Which when divided is 6.6
And in dollars it is $6.60
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