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melomori [17]
3 years ago
10

QRST is a parallelogram. Find b.

Mathematics
2 answers:
Ilya [14]3 years ago
7 0

Because QRST is a parallelogram,

QR = TS, or

b+11=2b, so

b=11.

Anna11 [10]3 years ago
6 0

Parallelogram ⇒ Opposite sides are equal

b + 11 = 2b

.

<u>Solve b:</u>

b + 11 = 2b

2b - b = 11

b = 11

.

Answer: b = 11

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For this case we have to:

x: Let the variable representing the number of people to travel in the group

y: Let the variable representing the number of miles traveled.

If friends only have $22 then we have the following inequality:

2.50x + 0.75y \leq22

Now, if there are three people in the group we have that x = 3.

2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33

The taxi can travel a maximum of 19.33 miles.

On the other hand, if the group wants to travel 10 miles then we have to y = 10.

2.50x + 0.75 (10) \leq22\\2.50x + 7.5 \leq22\\2.50x \leq22-7.5\\2.50x \leq14.5\\x\leq \frac {14.5} {2.50}\\x \leq5.8

Thus, they could travel a maximum of 5 people.

ANswer:

2.50x + 0.75y \leq22

Traveling 3 people, the taxi can travel a maximum of 19.33 miles

Traveling 10 miles, a maximum of 5 people can travel

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