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2 years ago

Leon bought trail mix that cost $0.78 per pound. He paid $6.24 for the trail mix. How many pounds of trail mix did he buy?

Mathematics

2 answers:

shutvik [7]2 years ago

6 0

The correct answer is 8 pounds. Hope this helps!!!!

12345 [234]2 years ago

3 0

If Leon bought trail mix worth of $ 6.24, and he paid 0.78 per pound,

6.24/0.78= 8 lbs

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Of the total number of people on a cruise ship, 1/4 or child passengers. 2/5 of the remaining people were crew. There were 1320

Nuetrik [128]

Step-by-step explanation:

Total number of people on the cruise ship was 1320.

$\frac{1}{4}^{th}$ of the people were child passengers. Number of child passengers = $\dfrac{1}{4}\times (\text{Total number of people})=\dfrac{1}{4}\times 1320=330$

$\frac{2}{5}^{th}$ of the people were crew. Number of people that were crew = $\dfrac{2}{5}\times (\text{Total number of people})=\dfrac{2}{5}\times 1320=528$

Remaining people in the ship constitute the adult passengers.

Number of adult passengers = $(\textbf{Total number of people})-(\textbf{Total number of children})-(\textbf{Total number of crew})=1320-330-528=\textbf{462}$

∴ Number of adult passengers = 462

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Step-by-step explanation:

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2 years ago

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A football field is 120 yards long by 53 yards wide if a player runs diagonally from one corner to the opposite corner. How far

qaws [65]

Answer: They will travel about 131.18 yards.

Step-by-step explanation:

Given : A football field is 120 yards long by 53 yards wide.

We know that a football field is rectangular in shape.

Each interior angle in a rectangle is a right angle.

Then, by Pythagoras theorem, we have

(Diagonal)² = (Length)² + (Width)²

If a player runs diagonally from one corner to the opposite corner, then the length of the diagonal is given by :-

$(\text{Diagonal})=\sqrt{(120)^2+(53)^2}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{14400+2809}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{17209}\\\\\Rightarrow\ (\text{Diagonal})=131.183078177\approx131.18\text{ yards}$

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7 0

1 year ago

A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total

Natali [406]

Answer:

There were 172 guests that were children and 278 guests that were adults

Step-by-step explanation:

Step 1: State what is known

It is $25 per adult

It is $12 per child

The made $9014 dollars

There were 450 guests

Step 2: Define equations

25y + 12x = 9014 -----1

x + y = 450 ------------2

Step 3: Rearrange equation 2 for x

x + y = 450

x = 450 - y --------------3

Step 4: Substitute 3 into 1 for y and solve for y

25y + 12(450 - y) = 9014

25y + 5400 - 12y = 9014

13y = 3614

y = 3614/13

y = 278

Step 5: Substitute y = 278 into 3 to solve for x

x = 450 - (278)

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Therefore 172 children and 278 adults visited the museum

4 0

1 year ago

A group of 12 people want to go to a concert. They can travel in a small car that takes one driver and one passenger and two car

trapecia [35]

Answer: There are 60 ways that they can travel to the concert.

Step-by-step explanation:

Since we have given that

Number of people want to go to a concert = 12

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Number of drivers in the group = 5

So, using the "Fundamental theorem of counting":

We get that

$5\times 4\times 3\\\\=60$

Hence, there are 60 ways that they can travel to the concert.

7 0

1 year ago