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balu736 [363]
2 years ago
10

In the winter, Grandma Helen knits scarves for her family members. It took her 70 minutes to make a 35-inch-long scarf for her g

randson, Sean. Now, she wants to make a 50-inch-long scarf for her granddaughter, Shannon. If Grandma Helen knits at the same rate, how many minutes will it take her to make Shannon's scarf?
Mathematics
1 answer:
melomori [17]2 years ago
7 0

Answer:

100 minutes

Step-by-step explanation:

Set up a proportion where x is the amount of minutes it will take her to make the 50 inch long scarf:

\frac{70}{35} = \frac{x}{50}

Cross multiply and solve for x:

35x = 3500

x = 100

So, it will take her 100 minutes to make Shannon's scarf

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What adds to negative 1 and multiplies to 12
forsale [732]
-4 and 3
-4 + would = -1
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3 years ago
Use the model to solve the equation.
Alika [10]
1 1/5 should be the correct answer
3 0
3 years ago
Help please!!! Thank you
Anna11 [10]

Answer: ∠ABE=20°

Step-by-step explanation:

∵ AB=BC

∴ ΔABC is a isosceles triangle

∵ ∠A=30

∴ ∠C=30

∵ The interior angle sum of triangle is 180°

∵ ∠A+∠B+∠C=180

    30+∠B+30=180

           ∠B+60=180

                  ∠B=120 (∠ABC)

∵ ∠EBD+∠ABE+∠ABC=linear pair

∴∠EBD+∠ABE+∠ABC=180°

                  4x+2x+120=180

                        6x+120=180

                                6x=60

                                  x=10

∠ABE=2x=2(10)=20°

Hope this helps!! :)

Please let me know if you have any question

6 0
3 years ago
Consider a uniform distribution from aequals4 to bequals29. ​(a) Find the probability that x lies between 7 and 27. ​(b) Find th
weeeeeb [17]

Answer:

a) 80% probability that x lies between 7 and 27.

b) 28% probability that x lies between 6 and 13.

c) 44% probability that x lies between 9 and 20.

d) 28% probability that x lies between 11 and 18.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value x between c and d, in which d is larger than c, is given by the following formula.

P(c \leq x \leq d) = \frac{d - c}{b - a}

Uniform distribution from a = 4 to b = 29

(a) Find the probability that x lies between 7 and 27.

So c = 7, d = 27

P(7 \leq x \leq 27) = \frac{27 - 7}{29 - 4} = 0.8

80% probability that x lies between 7 and 27.

​(b) Find the probability that x lies between 6 and 13. ​

So c = 6, d = 13

P(6 \leq x \leq 13) = \frac{13 - 6}{29 - 4} = 0.28

28% probability that x lies between 6 and 13.

(c) Find the probability that x lies between 9 and 20.

​So c = 9, d = 20

P(9 \leq x \leq 20) = \frac{20 - 9}{29 - 4} = 0.44

44% probability that x lies between 9 and 20.

(d) Find the probability that x lies between 11 and 18.

So c = 11, d = 18

P(11 \leq x \leq 18) = \frac{18 - 11}{29 - 4} = 0.28

28% probability that x lies between 11 and 18.

3 0
2 years ago
alex is running in a clockwise direction around a circular track with radius 60 yards. he runs for 20 minutes at a speed of 4 ya
Ganezh [65]

Answer:

  100.9 yards

Step-by-step explanation:

One circuit of the track is a distance of ...

  C = 2πr = 2π(60 yd) = 120π yd.

At Alex's running rate, the distance covered in 20 minutes is ...

  (4 yd/s)(20 min)(60 s/min) = 4800 yd

The number of circuits will be ...

  (4800 yd)/(120π yd/circuit) = 40/π circuits ≈ 12.7324 circuits

The last of Alex's laps is more than half-completed, so the shortest distance to his starting point is 13 -12.7324 = 0.2676 circuits,

That distance is (0.2676 circuits)×(120π yd/circuit) ≈ 100.88 yd

The shortest distance along the track to Alex's starting point is about 100.9 yards.

_____

<em>Additional comment</em>

The exact distance is 120(13π-40) yards. The distance will vary according to your approximation for pi. If you use 3.14, this is about 98.4 yards.

3 0
2 years ago
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