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Mkey [24]
3 years ago
15

Jake's family is moving to a new home. They packed 22 boxes in LaTeX: 1\frac{5}{6}1 5 6 hours. What is the average number of box

es they packed per hour?
Mathematics
1 answer:
rosijanka [135]3 years ago
6 0

Answer:

12 boxes per hour.

Step-by-step explanation:

Jake's family packed 22 boxes in 1 5/6 hours (that is, 1 hour plus 5/6 of a hour: 1 + 5/6 = (6+5)/6 = 11/6 hours).

So, to know the average number of boxes packed per hour, we can do a rule of three: If in 11/6 hours they packed 22 boxes, in 1 hours they packed X boxes.

22 boxes -> 11/6 hours

X boxes -> 1 hour

22/X = 11/6

X = 6 * 22 / 11 = 12

So, they packed an average of 12 boxes per hour.

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The product of two consecutive positive even integers is 440. what are the integers
Natali [406]
1st integer: x
2nd integer: x+2 

Multiply them: x(x+2)=440
X^2+2x-440=0 
Use the quadratic formula 
x=-22 or x=20 
Since x must be a positive integer number, x=20.

Answer: 
1st: 20.
2nd: 22 

Rate High and send a personal message if you want detailed answers on your math questions.
4 0
3 years ago
I have 2 congruent, parallel, rectangular bases.
Anit [1.1K]

Answer:

The 3D figure formed is a <u>Cuboid</u><u>.</u>

7 0
3 years ago
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If y equals 6 , what is the value of x given 8x plus 5y equals 62
OverLord2011 [107]
8x+5(6)=62
8x+30=62
8x=32
x=4
6 0
3 years ago
Read 2 more answers
I need help with this pls
antoniya [11.8K]
I'll explain it simply for you

1st question
Of course you know phythagoras theorm
You even wrote it up there
It states that the sum of the square of the two sides of an equilateral triangle is equal to the square of the hypotenuse
{a}^{2}  +  {b}^{2}   =  {c}^{2}
Where C is the hypotenuse
*NOTE* :
HYPOTENUSE is the greatest side in a triangle!!
And that's where your mistake is!
So you should take the greatest side as C
So in Q3. 7, 24 and 26 are the given numbers
You'll make the smaller two numbers a and b and the greatest number C
Using the Formula you'll solve the left side first which is
{a}^{2}  +  {b}^{2}
Then the right side which is
{c}^{2}

And if both are equal then it is a right triangle otherwise it isn't!
Let
a=7
b=24
c=26


a^2 + b^2
7^2 + 24^2
49 + 576 = 625
GREAT, Now the right side

26^2 = 676
Since they aren't equal it isn't a right angled triangle...

Then let
a=7.5
b=10
c=12.5

7.5^2 + 10^2
= 56.25 + 100
= 156.25



12.5^2 = 156.25

They are EQUAL
Therefore it is a right triangle too

Hopefully I helped
7 0
3 years ago
What is the period of the graph of y = 5 sin (pi x) + 3?
Natasha2012 [34]

Equate whats inside (arguments) \sin with base period of sine function 2\pi and solve for x to get period,

\pi x=2\pi\implies x=2

So the period of the graph of the given function is precisely 2.

Hope this helps :)

7 0
3 years ago
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