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Arte-miy333 [17]
2 years ago
5

A cyclist travels 12 miles in 45 minutes. What is his average speed in mph?

Mathematics
2 answers:
gizmo_the_mogwai [7]2 years ago
4 0

Answer: 16 mph

Step-by-step explanation: To get speed in mph.

Divide the miles by the time. First we can change minutes to hours.

45/60 = 3/4 hour

12 divided by 3/4 hour is 12 ÷ 3/4

Invert the denominator and multiply:

12 × 4/3

16 mph

barxatty [35]2 years ago
3 0
Pretty sure it is 16 mph
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How can you use properties to solve equations with variables on both sides
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3 years ago
9x+2y-27z=-155 -11x-y+37z=208 19x+6y-52z=-304
Paladinen [302]

Answer:

(x,y,z)=( -2, -1 ,5)

Step-by-step explanation:

9x+2y-27z=-155                                                        (1)

-11x-y+37z=208                                                        (2)

19x+6y-52z=-304                                                     (3)

(1) *3   ;(2) *6     ;(3)*1, you have

27x+6y-81z=-465                                                      (1)

-66x-6y+222z=1248                                                 (2)

19z+6y-52z=-304                                                      (3)


(1) +(2), you have

-39x+141z= 783                                                       (4)

(4) /3, you have

-13x +47z=261                                                          (4)


(2) +(3), you have

-47x+170z=944                                                       (5)


From ( 4) and (5), you have equations

-13x +47z=261                                                         (4)

 -47x+170z=944                                                       (5)


(4)*(-47);    (5)*13,  you have

611x-2209z=-12,267                                              (4)

-611x+2210z=12,272                                              (5)


(4)+(5), you have

z=5

Replace z=5 in (4), you have

611x- 2209*5=-12,267

611x- 11,045 =-12,267

611x=-1222

x= -2

Replace x=-2, z=5 in (1) , you have

9*(-2) +2y -27*5=-155

-18+2y-135=-155

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Result (x,y,z)=( -2, -1 ,5)









3 0
3 years ago
Does anyone know what b is?
sveticcg [70]

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The line PS is parallel to line QR, so in effect what we have here are two similar triangles. The ratios of similarity can be derived as

Line QT/line TR = line PT/line TS OR

Line QT/line QR = line PT/line PS.

With these ratios in mind we can now write the following expressions from the similar triangles;

QT = 2b + (2b - 17) and

TR = 16 + 8

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Hence,

2b/16 = 2b + (2b - 17)/24

(That is, PT/TS = QT/TR)

2b/16 = (4b - 17)/24

By cross multiplication we now have,

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By expanding the brackets we now have

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By collecting like terms, 64b now moves to the left side of the equation and becomes negative

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Divide both sides of the equation by -16

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A new hard drive costs $225, plus $40 per hour for
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Answer:

4 hours

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y= 40x +225

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40* x can be maximum 160  so x= 160 /40= 4

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2 years ago
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