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hichkok12 [17]
3 years ago
12

Tyler cut 40 1/8 inch board into 3 pieces of equal length. He then cut 3 3/4 iches off of each piece to make smaller boards. Wha

t is the length of each smaller boards?
Mathematics
1 answer:
Deffense [45]3 years ago
6 0

Answer:

9\frac{5}{8}\ inches

Step-by-step explanation:

The original board is 40 1/8 inch and it is cut in 3 pieces of equal length:

New boards = 40\frac{1}{8} : 3 = \frac{321}{8} * \frac{1}{3} = \frac{107}{8}

And now he cuts again 3 3/4 inches off of each one of the new boards (substracts)

\frac{107}{8} - 3\frac{3}{4} =\frac{107}{8} -\frac{15}{4} =\frac{107-30}{8} =\frac{77}{8} =9\frac{5}{8} \ inches

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How many times would a member and a non member have to rent a boat in order to pay the same amount
Yakvenalex [24]
X = number of times they rent a boat. 

Members 
Cost = 105 + 9.50x
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Cost = 14.75x 

Now to determine whether the cost would be equal, we need to set the two equations equal to each other.

105 + 9.50x = 14.75x 

Now solve for x

105 = 5.25x
 
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3 0
3 years ago
One vegetable warehouse had 210 tons of potatoes, another one has 180 tons. 90 tons of potatoes were delivered to the first and
amid [387]

Answer:

6days

Step-by-step explanation

Let's make an equation from this expression.

From the number of potatoes at the first warehouse after x days is:

y = 210 + 90x .............. 1

From the number of potatoes at the second warehouse after x days is:

y = 180 + 120x .............. 2

First warehouse having 1.2times

y = ( 210 + 90x ) × 1.2

y = 252 +108x ................... 3

Now, equate 2 and 3

252 + 108x = 180 + 120x

252 - 180 = 120x - 108x

72 = 12x

x = 72/12

x = 6

Now, substitute 6 into equation 1 and 2

From 1 , y = 210 + 90x

y = 210 + 90 ×6

y = 210 + 540

y = 750

From equation 2

y = 180 + 120x

y = 180 + 120×6

y = 180 + 720

y = 900

Recall that equation 1 was to be 1.2times

From the answer in equation 1

y =750

y = 750 × 1.2

y = 900

Hence, the answer is correct.

7 0
3 years ago
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ANEK [815]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Help me please, and show your steps! Jerome has 1/2 of the group's video games at his house. Mario has 2/5 of the group's video
pochemuha

Answer: \frac{9}{10}

Step-by-step explanation:

According to the information given in the exercise, you know that:

 \frac{1}{2} of the group's video games is at Jerome's house.

 \frac{2}{5} of the group's video games is at Mario's house.

Then, you need to add those fractions in order to solve the exercise.

Notice that the denominators of the fractions are different; so in this case, you need to multiply them in order to find the Least Common Denominator (LCD). This is:

LCD=2*5=10

Now, the procedure is:

1- Divide each original denominator by the LCD and multiply the numerators by the quotient obtained.

2- Add the products (This sum will be the numerator).

Then, you get the following result:

\frac{1}{2}+\frac{2}{5}=\frac{(1)(5)+(2)(2)}{10}=\frac{5+4}{10}=\frac{9}{10}

4 0
3 years ago
Which description best fits the graph?
natima [27]

Answer:

always increasing

Step-by-step explanation:

When you look at the graph from left to right on the x-axis the y-axis is always increasing in value.

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