A rental car costs $65.95 if 30 miles are driven and $75.95 if 50 miles are driven. Construct

Mathematics

1 answer:

Mazyrski [523]2 years ago

4 0

Answer:

y = 0.5x + 50.95

Step-by-step explanation:

Given y is total cost while x is total miles

Slope: m = (y2-y1)/(x2-x1)

m = (75.95-65.95)/(50-30) = 10/20 = 0.5

y = mx + b

y = 0.5x + b

75.95 = 0.5(50) + b

b = 50.95

Slope intercept form: y = 0.5x + 50.95

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11. In AWTY, if mZW is five less than twice mZY and mZX is 21 more than m_Y find the measure

wolverine [178]

9514 1404 393

Answer:

angles (W, X, Y) = (77°, 62°, 41°)

Step-by-step explanation:

Given:

ΔWZY

∠W = 2(∠Y) -5°

∠X = ∠Y +21°

Find:

∠X, ∠Y, ∠W

Solution:

Using angle measures in degrees, we have ...

∠X + ∠Y + ∠Z = 180

(∠Y +21) +∠Y + (2(∠Y) -5) = 180

4(∠Y) +16 = 180 . . . . . simplify

∠Y +4 = 45 . . . . . . . . . divide by 4

∠Y = 41 . . . . . . . . . . . . subtract 4

∠W = 2(41) -5 = 77

∠X = 41 +21 = 62

The angle measures of angles (W, X, Y) are (77°, 62°, 41°), respectively.

7 0

2 years ago

{24, 95, 76, 60, 15, 48, 80, 75} a. Mean = b. Median c. Mode =

sp2606 [1]

Answer:

a)59.125, b)67.5, c)None

Step-by-step explanation:

Mean = All values added up and divided by the number of values
$\frac{24+95+76+60+15+48+80+75}{8}$

Median = Put all numbers in order from least to most and use the middle one, if there are two, use the mean of those two
$15, 24, 48, 60, 75, 76, 80, 95$ . The middle ones are 60 & 75 so $\frac{60+75}{2}$

Mode = The number that repeats more times. In this case none of them repeat.