We observe that 14 is 4 more than twice 5.

The scooter's rate is 14 mph.
The bicycle's rate is 5 mph.
_____
time = distance/rate
14/(2b +4) = 5/b . . . . . . let b represent the bicycle's speed in mi/h
14b = 10b +20 . . . . . . . .cross multiply
4b = 20 . . . . . . . . . . . . . subtract 10b
b = 5 . . . . . . . . . . . . . . . divide by 4. Same answer as above.

8 0

4 years ago

Anyone know the answer?

vodomira [7]

To solve your question, you add all of the measurements together, set them equal to 180, solve for x, and plug x back in for whichever angle they are asking for; in this case, they want angle R

7x + 12x + 20 + 20x - 35 = 180
39x - 15 = 180
39x = 180 + 15
39x = 195
x = 5

Angle R = 12x + 20
12(5) + 20
60 + 20
80

Option C is your answer.

5 0

3 years ago

A dealer sold 200 tennis racquets. Some were sold for $33 each, and the rest were sold on sale for $18. The total receipts form

Mumz [18]

120 tennis racquets were sold for $ 18 each

Solution:

Let x = number that sell for $18 each

Then, 200 - x = number that sell for $33 each

The total receipts form these sales were 4800 dollars

Thus we frame a equation as:

number that sell for $18 each x 18 + number that sell for $33 each x 33 = 4800

$x \times 18 + (200-x) \times 33 = 4800\\\\Solve\ the\ above\ equation\ for\ x\\\\18x + 6600 - 33x = 4800\\\\Move\ the\ variables\ to\ one\ side\\\\18x-33x = 4800-6600\\\\-15x = -1800\\\\Divide\ both\ sides\ of\ equation\ by\ -15\\\\x = 120$

Thus 120 tennis racquets were sold for $ 18 each

6 0

3 years ago

A lot for sale is shaped like a trapezoid. The bases of the trapezoid represent the widths of the front and back yards. The widt

RoseWind [281]

Answer:

Front: 33 ft

Back: 66 ft

Step-by-step explanation:

Let w be the width of the front yard

½[w + 2w]×2w = 3300

3w² = 3300

w² = 1100

w = 33.1662479036

w = 33 ft

2w = 66 ft

4 0

3 years ago