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morpeh [17]
3 years ago
15

Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The di

fference of half the number of oranges and half the number of apples is 4. An equation created to find the number of apples Javier has in the basket will have .
Mathematics
1 answer:
Soloha48 [4]3 years ago
3 0
O=2a+2,  

o/2-a/2=4  this is your system of equations, 

It you wish to solve for apples, then simply substitute o from the first equation into the second equation...

(2a+2)/2-a/2=4  multiply both sides of the equation by 2

2a+2-a=8  combine like terms on the left side

a+2=8  subtract 2 from both sides 

a=6   

So Javier has 6 apples in the basket.
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3 years ago
In 4 ​minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt
kkurt [141]

Answer:

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Step-by-step explanation:

Given - In 4 ​minutes, a conveyor belt moves 800 pounds of recyclable

            aluminum from the delivery truck to a storage area. A smaller belt

            moves the same quantity of cans the same distance in 6 minutes.

To find - If both belts are​ used, find how long it takes to move the cans

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Proof -

Given that,

Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Larger belt = 4 min/ shifting

Also,

Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Smaller belt = 6 min/ shifting

Now,

As we know that Time is inversely proportional to time, so

Rate of Larger Belt = \frac{1}{4} shifting/min

Rate of Smaller Belt = \frac{1}{6} shifting/min

Now,

Let us assume that , if both belts used then,

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Then, Rate = \frac{1}{x} shifting/min

Now,

\frac{1}{4}  + \frac{1}{6}  = \frac{1}{x}

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⇒10x = 24

⇒x = \frac{24}{10} = 2.4 minutes

∴ we get

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

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3 years ago
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Anon25 [30]

Answer:

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