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victus00 [196]
3 years ago
11

Ida is cutting a 11/12 foot wooden board into 3/16 foot sections to do some detail work on a model she is building. How many who

le 3/16 foot sections are there in the 11/12 foot wooden board? Explain your answer and show your work.
Mathematics
2 answers:
AVprozaik [17]3 years ago
8 0

Answer:

4

Step-by-step explanation:

We have to perform the division:

\displaystyle\frac{11}{12}\div\frac{3}{16}

We turn it into a multiplication of the first fractions times the reciprocal of the second fraction:

\displaystyle\frac{11}{12}\cdot\frac{16}{3}

We can simplify the 16 on top with the 12 on bottom by dividing them by the common divisor 4, to get:

\displaystyle\frac{11}{3}\cdot\frac{4}{3}

Then we perform the multiplication:

\displaystyle\frac{44}{9}

We then divide 44 by 9 to get quotient 4 and remainder 8.

So we can write the result as the following mixed number:

4\displaystyle\frac{8}{9}

We are only asked for the whole part, which is 4. It means there are 4 whole 3/16 foot sections in the 11/12 foot wooden board.

zlopas [31]3 years ago
3 0
You have to give them the same denominator so multiply 11/12 by 4 and 3/16 by 3. giving you 44/48 and 9/48. then divied 44 by 9 giving you 4.8888
there for there are 4 whole 3/16 sections of the 11/12 board
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I need help for 7 and 8. i also need the solution on how you get the answer. thanks in advance!
ycow [4]
7) Rectangular pyramid:
Length = 8m ; width = 4.6m ; Volume = 88m³

Volume of a rectangular pyramid = (Length * Width * Height)/3
88m³ = (8m * 4.6m * height)/3
88m³ * 3 = 36.8m² * height
264m³ = 36.8m² * height
264m³ / 36.8m² = height
7.2 m = height

8) Cone:
r = 5 in ; volume = 487 in
³

Volume of a cone = π r² h/3
487 in³ = 3.14 * (5in)² * h/3
487 in³ * 3 = 3.14 * 25in² * h
1,461 in³ = 78.5 in² * h
1,461 in³ / 78.5 in² = height
18.6 in = height
8 0
3 years ago
PLEASE HELP DUE IN 1 HOUR
kobusy [5.1K]
Choosing blue or red: 3 blue + 4 red = 7 marbles
3 blue + 2 green + 4 red + 1 yellow = 10 marbles

Probability blue or red marble: 7/10

Choosing a marble that isn't blue or red: 2 green + 1 yellow = 3 marbles
Total marbles: 3 blue + 2 green + 4 red + 1 yellow = 10 marbles

Probability non-blue or red marble: 3/10
5 0
3 years ago
What are the factors of 2x + 3x - 54? Select two options
tiny-mole [99]

Answer:

The answer: The factors are (2x-9) and (x+6).

The Problem:

Factor 2x^2+3x-54

Step-by-step explanation:

So I'm going to do trial factors using the choices to aid me.

Factored form for this problem if it exist will be in the form:

(mx+n)(kx+p).

In general this is what it would look like if we factored any quadratic in terms of x (given the quadratic is not prime but technically you could factor even over the complex numbers).

Let's look at:

(mx+n)(kx+p)

We want to choose k \text{ and } m such that when you multiply them you get 2.  Well those would have to be 2 and 1.

(2x+n)(x+p)

we want to choose n \text{ and } p such that when you multiply them you get -54. Based on the choices we want to get with -9 and 6, or 9 and -6. We don't know the order we want to choose it in either.

For example which of these would work:

(2x-6)(x+9)

(2x+6)(x-9)

(2x-9)(x+6)

(2x+9)(x-6)

We are going to consider only the outer and inner of FOIL since we already know the first times the first is 2x^2 and the last times the last is -54.

Let's test the first one:

(2x-6)(x+9)

Outer:  2x(9)=18x

Inner: -6(x)=-6x

------------------------ADD!

18x-6x=12x

The first choice did not give us the middle term 3x.

Trying the second one would give us the opposite since they are in the same form as previous just the + and - are switched.

Let's look at the third one:

(2x-9)(x+6)

Outer: 2x(6)=12x

Inner: -9(x)=-9x

--------------------------ADD!

12x-9x=3x

This is the winner.

The answer: The factors are (2x-9) and (x+6).

7 0
2 years ago
Read 2 more answers
Martino drove 1,734 miles in 34 hours. What was his average speed for e trip, in miles per hour? ​
Aliun [14]

Answer:

51 mph

Step-by-step explanation:

1734  miles

---------------- (per)

34 hours

you would divide. think of it as a fraction

1734

----

34

the numerator is miles and the denominator is hours. divide the numerator (the top number) by the denominator (the bottom number).

1734/34= 51

therefore, martino drove 51 miles per hour

Hope this helps!

7 0
3 years ago
Patrick drives his car at 120 km/h for 5 hours . how far did he go ?
Novay_Z [31]

Answer:

^speed, distance, and time^

my answer lies in paper

hope undertand

8 0
2 years ago
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