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lara [203]
2 years ago
7

Luna is going bowling. Shoe rental cost $3 and the lane cost $2 per game. If Luna paid a total of $17, how many games did she bo

wl? PART A: Write an equation. PART B: SOLVE IT.
Mathematics
1 answer:
Eddi Din [679]2 years ago
3 0
17-3=14
14/2
7 games that she bowled
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Can I get some help?​
ruslelena [56]

Answer:

y = 4x - 9

Step-by-step explanation:

The points on the graph we can see clearly are (1, -5) and (2, -1).

The equation of the line is in the form <u>slope-intercept</u>, where the general formula is y = mx + b.

We need to find "m", the slope of the line; and "b", the y-intercept.

Use the two points we found in the formula for calculating slope m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}.

Choose which is point 1 and point 2:

Point 1 (1, -5)    x₁ = 1   y₁ = -5

Point 2 (2, -1)   x₂ = 2  y₂ = -1

Substitute x₁, x₂, y₁, and y₂

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{-1-(-5)}{2-1}       Solve in the numerator and denominator

m=\frac{4}{1}        Simplify the fraction

m=4           Slope of the line

Find "b":

Substitute a point's "x" and "y" coordinates, and the slope, "m", into the general formula for slope-intercept.

I will use point 2:

x = 2; y = -1; m = 4

y = mx + b

-1 = (4)(2) + b         Multiply

-1 = 8 + b            Start isolating "b"

-1 - 8 = 8 - 8 + b            Subtract 8 from both sides

-1 - 8 = b           "b" is isolated

b = -9           Answer for "b", y-intercept.

The variable should be on the left side for standard formatting.

Take the general formula: y = mx + b

Replace "m" and "b" with the values we found.

y = 4x - 9

8 0
3 years ago
Assume that lines that appear to be tangent are tangent. O is the center of the circle. In degrees, what is the value of x?
Nastasia [14]

9514 1404 393

Answer:

  145

Step-by-step explanation:

In this geometry, the central angle (x°) and the external angle (35°) are supplementary.

  x° = 180° -35°

  x = 145

4 0
3 years ago
2. If an angle is a right angle, then it is not acute.<br>m2Q#90​
Sliva [168]

Answer:

True.

Step-by-step explanation:

An Angle must be less than 90 degrees to be acute.

7 0
3 years ago
Read 2 more answers
The power generation plant of a ship is outfitted with two identical diesel-generator sets. One single set running stand-alone c
dem82 [27]

Answer:

probability of an electric power outage shipboard is 0.075 or 7.5 %

Step-by-step explanation:

Given the data in the question;

Probability of engine malfunction = 25% = 0.25

Probability of generator malfunction = 10% = 0.1  

Probability of generator being repaired = 50% = 0.5

probability of an electric power outage shipboard = ?

To get the probability of an electric power outage shipboard, we use the expression;

probability of an electric power outage = 2_c_1 × p( Probability of generator malfunction ) × p( Probability of generator being repaired ) × ( 1 - p( Probability of engine malfunction ) )

so we substitute in our given values;

probability of an electric power outage = 2 × 0.1 × 0.5 × ( 1 - 0.25 )

probability of an electric power outage = 2 × 0.1 × 0.5 × 0.75

probability of an electric power outage = 0.075 or 7.5 %

3 0
3 years ago
V = <br><br><br><br><br><br> THE PICTURE WILL BE INSERTED
ANTONII [103]
What is 'V =' referring to?
4 0
3 years ago
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