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yaroslaw [1]
3 years ago
11

The play director spent 190190190 hours preparing for a play. That time included attending 353535 rehearsals that took varying a

mounts of time and spending 93 \dfrac{3}{4}93 4 3 ? 93, start fraction, 3, divided by, 4, end fraction hours on other responsibilities related to the play. What question does the equation 35x+93\dfrac{3}{4}=19035x+93 4 3 ? =19035, x, plus, 93, start fraction, 3, divided by, 4, end fraction, equals, 190 help answer?
Mathematics
2 answers:
xxTIMURxx [149]3 years ago
8 0

Answer:

What was the average length of each rehearsal?

Step-by-step explanation:

Khan Academy

dybincka [34]3 years ago
7 0

Answer:

The equation 35x+93\frac{3}{4} =190 gives average time spent on 35 rehearsals.

Step-by-step explanation:

We are supposed to find that what question does the equation 35x+93\frac{3}{4} =190 finds answer of.

We can see that 35x represents time spent on 35 rehearsals and 93\frac{3}{4} is time spent on other responsibilities related to play. The sum of these times equals to total time spent on preparing the play.

Now let us solve our equation step by step.

35x+\frac{375}{4} =190

After subtracting 93\frac{3}{4} hours from 190 hours we will get time spent on 35 rehearsals.

35x =190-\frac{375}{4}

35x =\frac{760-375}{4}

35x =\frac{385}{4}

Time spent on 35 rehearsals is 96.25 hours and we are told that each rehearsal took different amount of time. Dividing 96.25 by 35 we will get average time spent on each rehearsal.

x =\frac{96.25}{35}=2.75  

Therefore, equation 35x+93\frac{3}{4} =190 finds average time spent on 35 rehearsals.


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Consider a sequence defined by the recursive rule f(1) = 15; f(n)=f(n - 1) - 6 for n 2. Choose True or
Shkiper50 [21]

Answer:

The second term of the sequence is 8  False ⇒ B

The third term of the sequence is 3  True ⇒ A

The fourth term of the sequence is -3  True ⇒ A

Step-by-step explanation:

The form of the recursive rule is:

f(1) = first term; f(n) = f(n - 1) + d, where

  • f(1) is the first term
  • f(n) is the nth term
  • f(n - 1) is the term before the nth term
  • d is the common difference

∵ f(1) = 15, f(n) = f(n - 1) - 6 for n ≥ 2

∴ The first term = 15

∴ d = -6

let us find the 2nd, 3rd, and 4th terms

∵ n = 2

∴ f(2) = f(1) - 6

∵ f(1) = 15

∴ f(2) = 15 - 6 = 9

∴ The second term is 9

∴ The second term of the sequence is 8  False

∵ n = 3

∴ f(3) = f(2) - 6

∵ f(2) = 9

∴ f(3) = 9 - 6 = 3

∴ The third term is 3

∴ The third term of the sequence is 3 True

∵ n = 4

∴ f(4) = f(3) - 6

∵ f(3) = 3

∴ f(4) = 3 - 6 = -3

∴ The fourth term is -3

∴ The fourth term of the sequence is -3 True

5 0
3 years ago
HELP WILL MARK BRAINLIEST ANSWERRRRRR IF GOTTEN RIGHT
pentagon [3]
B hope that is correct answer
7 0
3 years ago
Ok so I’m the answer but how do I get to that answer can someone please help me I am desperate
Svet_ta [14]
X + (x + 10) = 154
2 x + 10 = 154
2 x = 154-10 = 144
x = 72 (ans)
Not sure if it’s right
7 0
3 years ago
a mug is 2/7 full. The mug contains 1/3 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed
Ahat [919]

Answer:

7/6 cups

Step-by-step explanation:

Given the following information :

Mug is 2/7 full

Amount of water in the mug = 1/3 cup

Assume the full capacity of the mug = m

Then the current capacity of water in mug = (2/7) of m = (2/7)m

Current capacity of water in mug is equivalent to 1/3 cup of water

Hence,

(2/7)m = 1/3

2m/7 = 1/3

Cross multiply

(2m * 3) = 7 * 1

6m = 7

m = 7/6

m = 1 1/6 cups

5 0
3 years ago
Why is it important to be able to write a fraction in simplest form?
Alex
This is important because if you were to answer in complex fractions instead of its simplest form, you would have a tough time multiplying complex fractions together. You would get a HUGE denominator or numerator, which makes things difficult. It is important to write a fraction in its simplest form because of exactly that; making things simple. Would you rather multiply 64/132*64/132 or 1/2*1/2?
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3 years ago
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