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Travka [436]
3 years ago
8

Mrs. Jones is building wooden picture frames. She has 1 5/8 of wood and needs 3/4 for each frame. How many frames can she make w

ith the exiting material? *
show ur work
Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:

2\frac{1}{6}\ frames

Step-by-step explanation:

we know that

To find out how many frames she can  make with the exiting material, divide 1 5/8 by 3/4

so

1\frac{5}{8}:\frac{3}{4}

Convert mixed number to an improper fraction

1\frac{5}{8}=\frac{1*8+5}{8}=\frac{13}{8}

substitute

\frac{13}{8}:\frac{3}{4}=\frac{52}{24}\ frames

Simplify

\frac{13}{6}\ frames

Convert to mixed number

\frac{13}{6}\ frames=\frac{12}{6}+\frac{1}{6}=2\frac{1}{6}\ frames

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Suppose you are managing 15 employees, and you need to form three teams to work on different projects. Assume that all employees
Afina-wow [57]

Answer:

There are 17,418,240 different ways to choose the teams.

Step-by-step explanation:

Arrangements of n elements:

The number of possible arrangements of n elements is given by:

A_{n} = n!

In how many different ways can the teams be chosen so that the number of employees on each project are as follows: 9, 4, 2?

This is:

Arrangement of 9 elements, followed by an arrangement of 4 elements followed by an arrangement of 2 elements. So

T = A_{9}*A_{4}*A_{2} = 9!*4!*2! = 362880*24*2 = 17418240

There are 17,418,240 different ways to choose the teams.

7 0
3 years ago
find the slope of the line passing through each pair of points. if the slope is undefined, write undefined. (5,9) and (5,-3)
iren [92.7K]

Answer:

i believe undefined

Step-by-step explanation:

Slope

m= −3−9

5−5

-12/0

3 0
2 years ago
(HINT: your answer should be written as a rate.)<br> (Please Help) (ASAP)<br> POINT:20!!!
Anna71 [15]

Answer:

his average speed is 60 mph

Step-by-step explanation:

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5 0
3 years ago
1: 1/2 km equals to how many metres?
VMariaS [17]
1.
km=kilometers
kilo=1000
1 km=1000meters
so
1/2km= 1/2 times 1000=1000/2=500meters


2. 1/4 km=1000/4=250 meters

3. 1/5 km=1000/5=200 meters

4. 2/5 km=2000/5=400 meters

5. 3/4 km=3000/4=750 meters

6. 1/8 km=1000/8=125 meters
7 0
3 years ago
Integrate the following: ∫<img src="https://tex.z-dn.net/?f=5x%5E4dx" id="TexFormula1" title="5x^4dx" alt="5x^4dx" align="absmid
Fiesta28 [93]

Answer:

A. x^5+C

Step-by-step explanation:

This is a great question! The first thing we want to do here is to take the constant out of the expression, in this case 5. Doing so we would receive the following expression -

5\cdot \int \:x^4dx

We can then apply the power rule " \int x^adx=\frac{x^{a+1}}{a+1} ", where a = exponent ( in this case 4 ),

5\cdot \frac{x^{4+1}}{4+1}

From now onward just simplify the expression as one would normally, and afterward add a constant ( C ) to the solution -

5\cdot \frac{x^{4+1}}{4+1}\\ - Add the exponents,

5\cdot \frac{x^{5}}{5} - 5 & 5 cancel each other out,

x^5 - And now adding the constant we see that our solution is option a!

3 0
3 years ago
Read 2 more answers
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