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MA_775_DIABLO [31]
2 years ago
6

(BRAINLIEST) The Arcadia Theater charges $4 for adult tickets and $3 for student tickets. Mr. Steele purchased 9 tickets (some s

tudent and some adult) for $31. Which system of equations could be used to find the number of adult tickets and student tickets purchased?
A. a + s = 31 ; 4a + 3s = 9
B. 4a + 3s = 31 ; a + s = 9
C. 3a + 4s = 31 ; a + s = 9
D. 3a + 4s = 9 ; a + s = 31
Mathematics
2 answers:
tekilochka [14]2 years ago
8 0

Answer:

B

Step-by-step explanation:

Please mark brainliest

Semenov [28]2 years ago
3 0
B is the answer for this question
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Make it a trinomial by using the FOIL method.
First
Inside
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3 years ago
What is the measure in degrees of 8x if one angle is already 7x and 44.4 degrees?
Julli [10]
7x+8x+44.4=180

15x=44.4=180

15x=135.6

x=9.04°

so 8x=72.32° and the 7x is 63.28°
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murzikaleks [220]

Answer:

\begin{cases}y=-5x+1\\y=5x-4 \end{cases}

Step-by-step explanation:

Slope-intercept form of a <u>linear equation</u>:

\boxed{y=mx+b}

where:

  • m is the slope.
  • b is the y-intercept (where the line crosses the y-axis).

<u>Slope formula</u>

\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}

<u>Equation 1</u>

<u />

Define two points on the line:

  • \textsf{Let }(x_1,y_1)=(-1, 6)
  • \textsf{Let }(x_2,y_2)=(0, 1)

<u>Substitute</u> the defined points into the slope formula:

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

y=-5x+1

<u>Equation 2</u>

<u />

Define two points on the line:

  • \textsf{Let }(x_1,y_1)=(1, 1)
  • \textsf{Let }(x_2,y_2)=(0, -4)

<u>Substitute</u> the defined points into the slope formula:

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

y=5x-4

<u>Conclusion</u>

Therefore, the system of linear equations shown by the graph is:

\begin{cases}y=-5x+1\\y=5x-4 \end{cases}

Learn more about systems of linear equations here:

brainly.com/question/28164947

brainly.com/question/28093918

5 0
1 year ago
Read 2 more answers
Jane has three boxes she needs to ship. Box X weighs 33 kg more than Box Y and Box Z weighs 12 kg more than Box Y. She
andreyandreev [35.5K]

Answer:

3w+45=557

Step-by-step explanation:

Let the weight of box Y be w kg.

Box X weighs 33 kg more than Box Y, then the weight of box X is

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The total weight of all boxes is

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Jane measured the total weight of all the boxes and it was found to be 557 kg, therefore,

3w+45=557

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Answer: 1350 miles

Step-by-step explanation:

Given that one inch is 450 miles. We can use a proportion to solve for miles at 3 inches.

\frac{1in}{450mi } =\frac{3in}{x}

x=450*3=1350 mi

4 0
2 years ago
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