MATHEMATICS COLLEGE

A student is trying to solve the set of two equations given below:Equation A: x + z = 6
Equation B: 3x + 2z = 1

Which of the following is a possible step used in eliminating the z-term?
Multiply equation A by −2.
Multiply equation B by 2.
Multiply equation A by 3.
Multiply equation B by 3.

Answers

Answer 1
Answer: a possible step used in eliminating the z-term is "multiply equation A by −2."

x + z = 6
3x + 2z = 1

x + z = 6 / *(-2)
3x + 2z = 1


-2x - 2z = -12
3x+ 2z = 1

-2x + 3x -2z +2z = -12 +1
x = -11

-11 + z = 6
z = 6 + 11
z = 17
Answer 2
Answer:

Answer:Multiply equation A by -2 is correct everyone

Step-by-step explanation:

I just took the test and checked;)

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A new television is on sale for $680.00, which is 20% off of its original price. What was the original price of the television?

Answers

x= original price
% off= 20%
Sale $= $680

STEP 1:
Find discount amount

Discount Amount= % off * Original $
= 20% * x
change % to decimal (% ÷ 100)
= 0.20 * x
= 0.20x

STEP 2:
Find sale price

Sale Price= Original $ - Discount
= x - 0.20x
= 0.80x

STEP 3:
Sale= $680= 0.80x
Solve for x

$680= 0.80x
divide both sides by 0.80
$680/0.80= x
$850= x

ANSWER: The original price is $850

Hope this helps! :)

PLEASE HELP ME OUT M

Answers

Answer:

what?

Step-by-step explanation:

Yearly travel expenses for a family of four are normally distributed with a mean expense equal to $3,000 and a standard deviation equal to $500. What is the probability of travel expenses being greater than $4,000?

Answers

Answer:

The probability is 0.02275

Step-by-step explanation:

We shall first find the z-score here

z-score = (x -mean)/SD

from the question;

x = 4,000

mean = 3,000

SD = 500

z-score = (4,000-3,000)/500 = 1000/500 = 2

So the probability we want to calculate is;

P(z > 2) = 0.02275

Calculate: (Round two decimal places for final answer)

3gallons (gal) =_____liters (L)

Answers

Answer:

3gallons (gal) = 11.35 liters

Step-by-step explanation:

This can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

Each gallon has 3.78L. So

1 gallon - 3.78L

3 gallons - xL

x = 3*3.78

x = 11.35 liters

3gallons (gal) = 11.35 liters

You are going to play mini golf. A ball machine that contains 23 green golf balls, 24 red golf balls, 18 blue golf balls, and 24 yellow golf balls, randomly gives you your ball. What is the probability that you end up with a red golf ball?

Answers

Answer:

(24)/(89) chance or ≈27% chance or 0.27

Step-by-step explanation:

P of getting a red golf ball: (24)/(23+24+18+24) =(24)/(89)

circle o is inscribed in triangle rst such that it is tangent at points m,n, and p. if rp is 7, rt is 17 and sm is 5, then what is the length of side st?

Answers

Answer:

The length of side st is 15.

Step-by-step explanation:

A tangent is a straigth line that touches a circle externally at a point on the circumference. Considering one of its properties that tangents from the same point to a fixed point outside a circle are equal.

Then,

     /rn/ = /rp/

    /tm/ = /tn/

   /sm/ = /sp/

But, /rp/ = 7, /rt/ = 17 and /sm/ = 5.

Then,

 /rt/ = /rn/ + /tn/

17 = 7 + /tn/ (∵ /rp/ = /rn/ = 7)

⇒ /tn/ = 10

Since /nt/ = 10, then /tm/ = 10 (/tm/ = /nt/)

So that,

 /st/ = /sm/ + /tm/

     = 5 +10

 /st/ = 15

The length of side st is 15.
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