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avanturin [10]
3 years ago
13

Favian received a $100 gift card to a clothing store.

Mathematics
1 answer:
IgorLugansk [536]3 years ago
4 0

Answer:

32n = 100 - 20

n = 2.5

he purchased 2 sweaters

Step-by-step explanation:

32n = 100 - 20

If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n which means that he was able to but 2 sweaters and got $16 back. Therefore the formula would be 32n = 100 - 20

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Which statement about this system of equations is true? A. The system has no solution. B. The system has a unique solution at (0
SCORPION-xisa [38]

Answer:

A. The system has no solutions

Step-by-step explanation:

Step 1: Check to see if the 2 lines share 1 slope

slope of blue line = \frac{y2-y1}{x2-x1} =\frac{7-6}{3-0}=\frac{1}{3}

slope of red line = \frac{y2-y1}{x2-x1} =\frac{-3-(-4)}{3-0}=\frac{1}{3}

Step 2: Realize that lines with the same slope never touch

We know lines with the same slope are parallel to each other so they won't collide

Step 3: Know what the question is asking you

When they ask for solutions to the system of equations they are asking you to find out where they intersect

Step 4: Find answer

Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution

Therefore the answer is A. The system has no solutions

8 0
3 years ago
Read 2 more answers
A wheel initially has an angular velocity of 18 rad/s, but it is slowing at a constant rate of 2 rad/s 2 . By the time it stops,
Kaylis [27]

Answer:13 revolution

Step-by-step explanation:

Given  data

Wheel initial angular velocity\left ( \omega \right )=18 rad/s

Contant angular deaaceleration\left ( \alpha \right )=2rad/s^2

Time required to stop wheel completely=t sec

\omega =\omega_0 + \aplha t

0 =18 +\left ( -2\right )t

t=9 sec

Therefore angle turn in 9 sec

\theta=\omega_{0} t+\frac{1}{2}\left ( \alpha\right )t^{2}

\theta=18\times 9+\frac{1}{2}\left ( -2\right )\left ( 9\right )^2

\theta=81rad

therefore no of turns(n) =\frac{81}{2\times \pi}

n=12.889\approx13 revolution

3 0
3 years ago
How does the value of log 100 compare with the value of log 20?
Volgvan

Answer:

Option 3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Solve 5x^2 +16x -84=0 using the quadratic equation
Andrew [12]
In order to find the answer to this question, we need to use the quadratic formula. 

-b +- √b² - 4ac
      2a

In this equation, 5 is a, 16 is b, and -84 is c. You'll notice that the formula says 'plus or minus', meaning that there are two answers depending on whether you add or subtract. Let's start by adding.

-16 + √16² -(4(5)(-84)
         2(5)

Use a calculator to simplify. Remember PEMDAS (parentheses, exponents, multiplication and division, addition and subtraction) when deciding which order to go in.

-16 + 44
      10
2.8

One solution is 2.8. Now, let's do the same thing, but subtract this time. Keep in mind that the number under the radical stays the same, so you don't have to recalculate that.

-16 - 44
     10
-6

The solutions to the equation are 2.8 and -6.

Hope this helps!
8 0
3 years ago
Find the two ordered pairs that are 2.5 units apart
Artemon [7]
What does this mean?
4 0
2 years ago
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