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gtnhenbr [62]
2 years ago
13

What is the total amount of sap trees produced that day? Please tell me ASAP(as soon as possible) because this lesson is due for

a grade tomorrow and I’m stuck on this question. Please tell me now because I have to go, Thanks!

Mathematics
2 answers:
ArbitrLikvidat [17]2 years ago
6 0

Answer:

5 gallons

Step-by-step explanation:

Number of x's on  1/4 = 3

So, amount of sap trees produce that day = 3/4

Number of x's on 3/8 = 2

So, amount of sap trees produce that day = 2 × 3/8 = 3/4

Number of x's on 5/8 = 4

So, amount of sap trees produce that day = 4 ×5/8 = 5/2

Number of x's on 1 = 1

So, amount of sap trees produce that day = 1 × 1 =1

Therefore,

total amount of sap the trees produce =  amount of sap trees produce based on number of x's on 1/4 +  amount of sap trees produce based on number of x's on 3/8 +  amount of sap trees based on number of x's on 5/8 + amount of sap trees based on number of x's on 1 = \frac{5}{2}+\frac{3}{4}+\frac{3}{4}+1=\frac{10+3+3+4}{4}=\frac{20}{4}=5\,\,gallons

gogolik [260]2 years ago
3 0

Answer: 5 gallons


Step-by-step explanation:

There are 3 x's on the graph for 1/4, so 1/4 times 3=3/4

There are 2 x's on the graph for 3/8, so 3/8 times 2=3/4

There are 4 x's on the graph for 5/8, so 5/8 times 4=5/2

There is only 1 x for 1, so it will remain 1.

So if you add these up,

3/4+3/4+5/2+1

6/4+10/4+1

16/4+1

4+1

There is 5 gallons of sap produced that day.

Hope this helped!


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On a certain​ route, an airline carries 7000 passengers per​ month, each paying ​$30. A market survey indicates that for each​ $
KengaRu [80]

Answer:

The ticket price that maximizes revenue is $50.

The maximum monthly revenue is $250,000.

Step-by-step explanation:

We have to write a function that describes the revenue of the airline.

We know one point of this function: when the price is $30, the amount of passengers is 7000.

We also know that for an increase of $1 in the ticket price, the amount of passengers will decrease by 100.

Then, we can write the revenue as the multiplication of price and passengers:

R=p\cdot N=(30+x)(7000-x)

where x is the variation in the price of the ticket.

Then, if we derive R in function of x, and equal to 0, we will have the value of x that maximizes the revenue.

R(x)=(30+x)(7000-100x)=30\cdot7000-30\cdot100x+7000x-100x^2\\\\R(x)=-100x^2+(7000-3000)x+210000\\\\R(x)=-100x^2+4000x+210000\\\\\\\dfrac{dR}{dx}=100(-2x)+4000=0\\\\\\200x=4000\\\\x=4000/200=20

We know that the increment in price (from the $30 level) that maximizes the revenue is $20, so the price should be:

p=30+x=30+20=50

The maximum monthly revenue is:

R(x)=(30+x)(7000-100x)\\\\R(20)=(30+20)(7000-100\cdot20)\\\\R(20)=50\cdot5000\\\\R(20)=250000

3 0
2 years ago
Someone explain and help pls
jasenka [17]
Your answer for the girls in the gymnastics club is correct.

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7 0
2 years ago
During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60÷5 60 ÷ 5 in this context. Fi
Afina-wow [57]

The second question:

Consider the division expression 7\frac{1}{2} / 2. Select all multiplication equations that correspond to this division expression.

2 * ? = 7\frac{1}{2}     7\frac{1}{2} * ?= 2     ? * 2  = 7\frac{1}{2}

2* 7\frac{1}{2} = ?    ?  * 7\frac{1}{2} = 2

Answer:

1. See Explanation

2. 2 * ? = 7\frac{1}{2}     and     ? * 2  = 7\frac{1}{2}

Step-by-step explanation:

Solving (a):

Given

Students = 60

Group = Equal\ Sized

Required

Interpret \frac{60}{5} in 2 ways

<u>Interpretation 1:</u> Number of groups if there are 5 students in each

<u>Interpretation 2:</u> Number of students in each group if there are 5 groups

<u>Solving the quotient</u>

Quotient = \frac{60}{5}

Quotient = 12

<u>For Interpretation 1:</u>

The quotient means: 12 groups

<u>For Interpretation 2:</u>

The quotient means: 12 students

Solving (b):

Given

7\frac{1}{2} / 2

Required

Select all equivalent multiplication equations

Let ? be the quotient of t 7\frac{1}{2} / 2

So, we have:

7\frac{1}{2}/2 = ?

Multiply through by 2

2 * 7\frac{1}{2}/2 = ? * 2

7\frac{1}{2} = ? * 2

Rewrite as:

? * 2 = 7\frac{1}{2}  --- This is 1 equivalent expression

Apply commutative law of addition:

2 * ? = 7\frac{1}{2}  --- This is another equivalent expression

8 0
2 years ago
Here are the vertices of rectangle FROG: (−2,5), (−2,1), (6,5), (6,1). Find the perimeter of this rectangle. If you get stuck, t
user100 [1]

Answer:

26

Step-by-step explanation:

Distance between (-2,5) and (-2,1) is 5

Distance between (-2,5) and (6,5) is 8

Distance between (6,5) and (6,1) is 5

Distance between (6,1) and (-2,1) is 8

5+8+5+8=26

5 0
2 years ago
n 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachusetts, USA) were able to comp
Zarrin [17]

Answer:

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

Step-by-step explanation:

For each runner, there are only two possible outcomes. Either they finished the marathon, or they did not. The probability of a runner completing the marathon is independent of any other runner. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

97.4% finished:

This means that 100 - 97.4 = 2.6% = 0.026 did not finish, which means that p = 0.026

100 runners are chosen at random

This means that n = 100

Find the probability that at least 5 of them did not finish the marathon

This is:

P(X \geq 5) = 1 - P(X < 5)

In which

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{100,0}.(0.026)^{0}.(0.974)^{100} = 0.0718

P(X = 1) = C_{100,1}.(0.026)^{1}.(0.974)^{99} = 0.1916

P(X = 2) = C_{100,2}.(0.026)^{2}.(0.974)^{98} = 0.2531

P(X = 3) = C_{100,3}.(0.026)^{3}.(0.974)^{97} = 0.2207

P(X = 4) = C_{100,4}.(0.026)^{4}.(0.974)^{96} = 0.1429

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0718 + 0.1916 + 0.2531 + 0.2207 + 0.1429 = 0.8801

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.8801 = 0.1199

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

4 0
2 years ago
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