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Grace [21]
3 years ago
13

How many solutions does the system have?

Mathematics
1 answer:
kramer3 years ago
8 0

Answer:

B. No solutions

Step-by-step explanation:

y= -3x + 9

3y = -9x + 9

Rewrite the first equation below. Then, divide both sides of the second equation by 3 and write it below the first equation.

y = -3x + 9

y = -3x + 3

Now look at the two equations. They are both written in the slope-intercept form, y = mx + b, where m = slope, and b = y-intercept. They have the same slope (m = -3) and different y-intercepts (9 and 3), so they are equations of two different lines, but since the slopes are the same, the lines are parallel. Since the lines never intersect, there is no solution.

Answer: No solutions

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In how many ways can a designer chose from 3 summer dresses,2 purses, a hat, 3 scarfs, 2 belts if she chooses one of each?
butalik [34]

Answer:

I'm pretty sure it's 32

Step-by-step explanation:

hope this helpsb

4 0
3 years ago
Algebra 2 word problem: Urgent!
vesna_86 [32]

Answer:

180 hours

Step-by-step explanation:

Surfer #1 takes a capsule every 6 hours, but this is also equal to 2 capsules every 12 hours. Surfer #2 takes 1 capsule every 12 hours. Thus, both surfers take a total of 3 capsules every 12 hours.

By dividing 45 total capsules they need to consume by 3, the number of capsules the surfers consume every 12 hour, you get the total number of hours times 12 it takes for them to consume 45 capsules. 45 / 3 = 15, so it takes 15 * 12 hours for them to consume 45 capsules. This is equal to 180 total hours.

6 0
3 years ago
Simplify the rational expressions. State any excluded values. Show your work.<br> (x-2)/(x^2+3x-10)
Elan Coil [88]
1/(x+5) because the (x-2) is canceled from both the numerator and denominator of the equation.
7 0
3 years ago
Compute the fare without tip: 1 passenger, 9.5 miles. Round to nearest fifth of a mile when dividing.
vladimir1956 [14]

The fare without tip for the Metro Taxi is of 1 passenger and 9.5 miles is $27.83.

The given parameters:

  • <em>Number of passenger = 1</em>
  • <em>Total distance = 9.5 miles</em>
  • <em>Cost of first 0.2 mile = $0.75</em>
  • <em>Cost of additional mile = $0.55</em>
  • <em>Cost of a passenger = $1.50</em>

The fare without tip for the Metro Taxi is calculated as follows;

  • for the first 0.2 mile = $0.75
  • the remaining distance = 9.5 - 0.2 = 9.3 miles

cost \ of \ distance = \$ 0.75 \ \ + \ \ \frac{\$ 0.55}{0.2 \ mile} \times 9.3 \ miles\\\\cost \ of \ distance =  \$ 26.325

Cost of 1 passenger = $1.50

The total cost is calculated as follows;

total cost = $1.50 + $26.325

total cost = $27.83

Thus, the fare without tip for the Metro Taxi is of 1 passenger and 9.5 miles is $27.83.

The complete question is below:

Compute the fare without tip: 1 passenger, 9.5 miles. Round to nearest fifth of a mile when dividing.

Metro Taxi: first 1/5 mi= $0.75, each additional 1/5 mi= $0.55, each additional passenger= $1.50.

Learn more about cost per miles here: brainly.com/question/2513267

8 0
2 years ago
The sum of three consecutive integers is 114. what are the three integers?
RSB [31]

Answer: 37, 38, and 39

Step-by-step explanation: This problem states that the sum of 3 consecutive integers is 114 and it asks us to find the integers.

3 consecutive integers can be represented as followed.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒ <em>third integer</em>

<em />

Since the sum of our 3 consecutive integers is 114, we can set up an equation to represent this.

X + X + 1 + X + 2 = 114

We can simplify on the left side by combining the X's and the numbers.

3x + 3 = 114

      -3     -3   ← <em>subtract 3 from both sides of the equation</em>

3x = 111

÷3    ÷3   ← <em>divide both sides of the equation by 3</em>

<em> </em>X = 37

X ⇒ <em>first integer   = 37</em>

X + 1 ⇒ <em>second integer   = 38</em>

X + 2 ⇒ <em>third integer   = 39</em>

<em />

<em>Therefore, our 3 consecutive integers are 37, 38, and 39.</em>

5 0
3 years ago
Read 2 more answers
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