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mars1129 [50]
3 years ago
5

Help with all of the questions?

Mathematics
1 answer:
jasenka [17]3 years ago
4 0
1. x + 3y = 3 and x - 2y = 0
2. (2,1)
3. solution
4. true
5.  equation 1 :                        equation 2 :
     x + y = 3                                x - 2y = 0
     2 + 1 = 3                                2 - 2(1) = 0
     3 = 3 (correct)                        2 - 2 = 0
                                                   0 = 0 (correct)

both equations are true...so (2,1) is a solution set to this system of equations
      
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A card is drawn from a standard 52-card deck. What is the probability that the card is a red jack, given that the card is a face
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Answer:

The answer is B

Step-by-step explanation:

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8 0
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You earn (4x+12) points after completing X levels of a video game and then lose (2x-5) points. Write an expression that represen
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7 0
3 years ago
Akira is a salon owner. Yesterday, she did 2 haircuts and colored the hair of 1 client, charging a total of $194. Today, she did
joja [24]

Answer:

\boxed {\boxed {\sf Haircut: \$47 \ and \  Color: \$ 100}}

Step-by-step explanation:

Let's set up a system of equations. (1 equation for yesterday and 1 for today).

  • Let h = haircut and c= color

2h+1c= 194  (Yesterday: 2 haircuts and 1 color for $194).

2h+4c= 494 (Today: 2 haircuts and 4 colors for $494).

Notice that both equations have a 2h. If we subtract the two equations, the 2h will cancel and leave us with one variable, c.

\ \ (2h+1c=194) \\-  (2h+4c=494)

\ \ 1c=194 \\- (4c=494)

-3c= -300

Since we are solving for c, we must isolate the variable. It is being multiplied by -3. The inverse of multiplication is division. Divide both sides by -3.

-3c/-3=-300/-3 \\c= -300/-3 \\c=100

Now we have to solve for h. Plug 100 in for c in the first equation.

2h+1(100)= 194 \\2h+100=194

100 is being added, so we must subtract 100 from both sides.

2h+100=194-100 \\2h=94

h is being multiplied by 2, so we divide both sides by 2.

2h/2=94 \\h=47

A haircut costs $47 and a color costs $100.

6 0
3 years ago
How can you identify if a decimal is terminating or non-terminating without calculating it?
Svetllana [295]

Answer:

Just divide the numerator by the denominator . If you end up with a remainder of 0 , then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is M &lt; B?<br><br><br> Round the value to the nearest degree.
tester [92]

Answer:

<h2>The measure of angle B is 46.4°, approximately.</h2>

Step-by-step explanation:

We need to find the measure of angle B. Notice that it's a right triangle, where we already know the hypothenuse and the adjacent leg to the angle, that means we need to use the cosine trigonometric reason

cosB=\frac{adjacent}{hypothenuse}=\frac{20}{29}\\  B=cos^{-1}(\frac{20}{29}) \\B \approx 46.4 \°

Therefore, the measure of angle B is 46.4°, approximately.

7 0
3 years ago
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