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kari74 [83]
3 years ago
15

carpenter has a board that is 8 feet long. e cuts off two pieces. One piece is 32 feet ug and the other is 2 feet long. How ch o

f the board is left?​
Mathematics
1 answer:
mafiozo [28]3 years ago
3 0

Answer:

2 1/6 feet

Step-by-step explanation:

A carpenter has a board that is 8 feet long. He cuts off two pieces. One piece is 3 1/2 feet long and the other is 2 1/3 feet long. How much of the board is left?

Total length of the board = 8 feet

Piece A = 3 1/2 feet

Piece B = 2 1/3 feet

Piece A + piece B

= 3 1/2 feet + 2 1/3 feet

= 7/2 + 7/3

= (21+14) / 6

= 35/6

= 5 5/6 feet

Length of the board remaining = Total length of the board - length of the two pieces

= 8 feet - 35/6 feet

= (48-35) / 6

= 13/6 feet

= 2 1/6 feet

Length of the board remaining = 2 1/6 feet

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Alona [7]

I just figured it out so I’ll answer it on this account lol.

Q1 = 32, Q2 = 45, Q3 = 52

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6 0
3 years ago
A plumber has a set fee for a house call and charges by the hour for repairs. The total cost of her services can be modeled by c
Lostsunrise [7]

Answer:

1, 2 and 3

Step-by-step explanation:

Let

t -----> the number of hours the job takes

C(t) -----> the total cost for the service

we have

C(t)=125t+95

This is the equation of a line in slope intercept form

where

The slope m is equal to m=125\ \frac{\$}{h}

The y-intercept is the point (0,95) ---> The cost is $95 for the value of t equal zero (fee)

therefore

<u><em>The statements that are true</em></u>

1 a house call fee costs $95

2 the plumber charges $125 per hour

3 the number of hours the job takes is represented by t

4 0
3 years ago
Yellow Cab Taxi charges a $1.75 flat rate in addition to $.55 per mile. Katie has no more than $10 to spend on a ride. How many
katrin2010 [14]
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5 0
3 years ago
The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5
Ivanshal [37]

Answer:

The probability of a customer buying carrots is 0.10.

Step-by-step explanation:

Here, given:

P (Customer buying apples) = 12%  

⇒   P(A) = 12 \100 = 0.12

P(Customer Buying apples AND Carrots) = 5%  

   ⇒   P(A ∩ C ) = 5 /100 = 0.05

P(Customer buying apples OR carrots ) = 17%    

⇒   P(A∪ C) = 17/100 =   0.17

Now, we know that:

<h3> P(X ∪ Y) = P(X) + P(Y) -  P(X ∩ Y ) </h3><h3></h3>

Now, here substituting the values, we get:

P(A∪ C)  = P(A) + P(C) - P(A ∩ C )

⇒  0. 17  =  0.12 + P(C) -  0.05

or, 0.17 - 0.07 = P(C)

or, P(C) = 0.10

or, P(Customer Buying Carrots) = 0.10

Hence, the probability of a customer buying carrots is 0.10.

4 0
3 years ago
Factor out the coefficient of the variable 1/2q plus 5/2
Iteru [2.4K]
I believe you do it like this:
1/2 Q+5/2
divide 1/2 into each term
to divide multiply by the reciprocal
1/2 x2/1= 1
5/2 x 2/1=5

1/2(Q+5) 
8 0
3 years ago
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