MATHEMATICS COLLEGE

6. How many solutions does the given system have?y = 3x - 1
6x - 2y = -2
A. one solution
B. two solutions
C. infinite solutions
D. no solution

Answers

Answer 1
Answer:

Answer:

C. Infinite, I think.

Step-by-step explanation:

Because if you plug in y=3x-1 the equation would be: 6x-2(3x-1)=-2 and when you distribute the 2, the equation becomes: 6x-6x-2=-2. Then you do 6x-6x which =0 and then subtract another 2 and you get -2=-2
Answer 2
Answer: 2 is the answer because 20 -2 equals to 2

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triangle town wants to build a school that is equidistant from its three cities L,M, and N. Which construction correctly finds the best location of the school? A. Construction Y because point E is the incenter of triangleLMN B. Construction Y because point E is the circumcenter of triangleLMN C. Construction X because point C is the incenter of triangleLMN D. Construction X because point C is the circumcenter of triangleLMN

Answers

Answer:

A

Step-by-step explanation:

Construction Y because point E is the circumcenter of Triangle LMN

To make orange fizz, Noah mixes 4 scoops of powder with 6 cups of water. Andre mixes 5 scoops of powder with 8 cups of water. How do their two mixtures compare in taste?

Answers

Answer:

Noah's mixture will taste more like orange, than Andre's mixture.  

Step-by-step explanation:

Given:

Noah mixes 4 scoops of powder with 6 cups of water.

Means Noah ratio will be  or 0.67

Andre mixes 5 scoops of powder with 8 cups of water

Means Andre ratio will be  or 0.62

As,

or

0.66 > 0.62

We can say that content of orange powder will be more in Noah mixture than in Andre's Mixture.

Hence, Noah's mixture will taste more like orange, than Andre's mixture.  

What is the probability that a randomly drawn hand of four cards contains all black cards or all face cards? The probability is 6 Round to four decimal places as needed.)

Answers

Answer: 0.05699

Step-by-step explanation:

The total number of cards in a deck = 52

The total number of black cards = 26

Then ,\text{P(Black)}=(C(26,4))/(C(52,4))=0.00182842367\approx0.00183

The total number of face cards = 12

Then , \text{P(Face)}=(C(12,4))/(C(52,4))\approx0.05522

The number of cards that are black and face cards = 6

Then , \text{P(Black and Face )}=(C(6,4))/(C(52,4))\approx0.00006

Then , the probability that a randomly drawn hand of four cards contains all black cards or all face cards is given by :-

\text{P(Black or Face)}=\text{P(Black)+P(Face)-P(Black and Face)}\n\n\Rightarrow\ \text{P(Black or Face)}=0.00183+0.05522-0.00006\n\n\Rightarrow\ \text{P(Black or Face)}=0.05699

Jake buys a gaming system and equipment for $2200.00 with a credit card that has a 28% APR. He makes a $100.00 monthly payment. What is the total amount of interest based on the APR? Enter your answer as a dollar amountsuch as: $324.

Answers

Answer:

Rounding to the next dollar, the total amount of interest paid by Jake is $ 923.00

Step-by-step explanation:

1. Let's review the information given to us to answer the question  correctly:

Gaming system and equipment cost = $ 2,200

Annual interest rate = 28%

Monthly payment = $ 100

2. What is the total amount of interest based on the APR?

Using Excel, we calculated the total number of months to pay the gaming system and the total interest, as you can read below.

Rounding to the next dollar, the total amount of interest paid by Jake is $ 923.00

Answer: $922

Step-by-step explanation:

I just did it and got it right. make sure to put $ or you will get it wrong

Write the prime factorization of 16. Use exponents when appropriate and order the factors from least to greatest (for example, 2.2.3.5). 23
hlp plz this is really hard

Answers

Answer:

16 =2^4

Step-by-step explanation:

16

16 = 4*4

but 4 is not prime

4 = 2*2

16 = 2*2*2*2

Rewriting with exponents

16 =2^4

Answer:

→ Prime factorization of 16 :

  • 16 = 2 × 2 × 2 × 2
  • 16 = 2⁴; in the form b = aⁿ
  • here, n = 4 is the exponent and a = 2 is the prime factor
  • 16 = 2⁴ is the right answer.

Will give brainliest!!! What is m

Answers

Answer:

29°

Step-by-step explanation:

Since this a right triangle and the sum of interior angles in a triangle is 180° We can say

2x + 1 + 5x + 5 = 90°

7x + 6 = 90°

7x = 84°

x = 14 and m<A = 2x + 1 we replace x with the value we found m<A = 14 × 2 + 1 = 29°
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