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Valentin [98]
2 years ago
13

Given m∥n, find the value of x.

Mathematics
1 answer:
ELEN [110]2 years ago
7 0

Answer:

53°

Step-by-step explanation:

Of the two lines are parallel then x = 53°

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This question does not make any sense come back again later
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3 years ago
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Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims
Ilya [14]

Answer:

(a) Stanley's running time was 0.5 + t

(b) Stanley biked for = 1 + 2·t hours

(c) The distance Stanley covered while swimming = 2.5 miles

(d) The distance Stanley covered while running = 13.5 miles

(e) The distance Stanley covered while biking = 48 miles

(f) Total distance Stanley covered during practice in terms of t = 43.5·t + 20.5

(g) The equation for finding the practice time is 64 = 43.5·t + 20.5

(h) Stanley swam, ran and biked for a total time of 5.5 hours

Step-by-step explanation:

The speed with which Stanley runs = 9 mph

The speed with which Stanley bikes = 16 mph

The speed with which Stanley swims = 2.5 mph

The time Stanley (he) spent running = 30 minutes + The time he spent swimming

The time Stanley (he) spent biking  = 2 × The time The time (he) spent running

Let the time Stanley spent swimming = t in hours

(a) The time he spent running = 30 minutes + t = 0.5 + t

The time he spent running = 0.5 + t

Stanley's running time was 0.5 + t

(b) The time Stanley spent biking  = 2 × (30 minutes + t) = 2 × (0.5 + t)

The time Stanley spent biking  = 2 × (0.5 + t) = 1 + 2·t

The time Stanley spent biking  = 1 + 2·t

Stanley biked for = 1 + 2·t hours

Therefore, given that distance = Speed × Time, we have

t × 2.5 + 9×(0.5 + t) + 16 × (2 × (0.5 + t)) = 64

2.5·t + 4.5 + 9·S + 32·t + 16 = 64

43.5·t + 20.5 = 64

43.5·t = 64 - 20.5 = 43.5

43.5·t = 43.5

t = 43.5/43.5 = 1

t = 1 hour

The time Stanley spent swimming = t = 1 hour

The time he spent running = 0.5 + t = 0.5 + 1.5 = 1.5

The time Stanley spent running = 1.5 hours

The time Stanley spent biking  = 2 × (0.5 + t) = 2 × (0.5 + 1) = 2 × 1.5 = 3

The time Stanley spent biking  = 3 hours

(c) The distance Stanley covered while swimming = Stanley's swimming speed × The time Stanley spent swimming

∴ The distance Stanley covered while swimming = 2.5 mph × 1 hour = 2.5 miles

The distance Stanley covered while swimming = 2.5 miles

(d) The distance Stanley covered while running = Stanley's running speed × The time Stanley spent running

The distance Stanley covered while running = 9 mph × 1.5 hours = 13.5 miles

The distance Stanley covered while running = 13.5 miles

(e) The distance Stanley covered while biking = Stanley's biking speed × The time Stanley spent biking

The distance Stanley covered while biking = 16 mph × 3 hours =  48 miles

The distance Stanley covered while biking = 48 miles

(f) The total distance Stanley covered during practice in terms of t is given as follows;

Given that distance = Speed × Time, we have

Total distance = t × 2.5 + 9×(0.5 + t) + 16 × (2 × (0.5 + t))

Total distance =2.5·t + 4.5 + 9·S + 32·t + 16

Total distance Stanley covered during practice in terms of t = 43.5·t + 20.5

(g) The equation for finding the practice time is given as follows;

Total distance Stanley covered during practice = 64 = 43.5·t + 20.5

∴ The equation for finding the practice time is 64 = 43.5·t + 20.5

(h) Stanley swam, ran and biked for a total time, t_{(tot)}, given as follows;

t_{(tot)} = The time Stanley spent swimming + The time Stanley spent running + The time Stanley spent biking

∴ t_{(tot)} = 1 + 1.5 + 3 = 5.5 hours.

7 0
3 years ago
Write an equivalent expression to show the relationship of multiplication and addition.
lidiya [134]

Multiplication is really just repeated addition.

Answers:

  1. 10 x 3 or 10(3)
  2. 4 x 7 or 4(7)
  3. 8 + 8
  4. 3 + 3 + 3 + 3 +3 + 3 + 3 + 3 + 3
  5. m + m + m + m + m + m
  6. 5d

3 0
3 years ago
Can someone figre this one out for me too plss with work shown and explanation NO LINKS AND NO DOING IT JUST FOR POINTS will giv
11111nata11111 [884]

Answer:

3 right and 1 up

Step-by-step explanation:

hope this helps!

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A magazine has 120 pages. There are 28 full-page ads and 12 half-page ads. The rest of the magazine consists of articles.
Finger [1]

Answer:

120 = 28 + 12(½) + X

Where X is the no. of pages of articles

120 = 28 + 6 + X

X = 120 - 34

X = 86

4 0
3 years ago
Read 2 more answers
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