Two endpoints of the diagonal of a parallelogram are k(0,3) and l(4,1). what is the length of the diagonal

1 answer:

7 0

Distance = sqrt (x2 - x1)^2 + (y2 - y1)^2
(0,3).....x1 = 0 and y1 = 3
(4,1)....x2 = 4 and y2 = 1
now we sub and solve
d = sqrt (4 - 0)^2 + 1 - 3)^2
d = sqrt (4^2) + (-2^2)
d = sqrt (16 + 4)
d = sqrt 20
d = 4.472 <==

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When making a batch of orange juice for her basketball team Jackie used 5 times as much water as concentrate. There were 32 more

AnnZ [28]

Answer:

48 cups of orange juice, 24 containers.

Step-by-step explanation:

Given:

Jackie used 5 times as much water as concentrate to make orange juice.

There were 32 more cups of water than concentrate.

Question asked:

How much juice did she make in all ?

She poured the juice in 2 quart containers how many containers could she fill ?

Solution:

Let concentrate used in the juice = $x$

As Jackie used 5 times as much water as concentrate:

Then water used in the juice = $5x$

According to question:

To make orange juice 32 more cups of water used than concentrate is equals to to make orange juice, Jackie used 5 times as much water as concentrate, we will write this as:-

$x+5x=x+x+32\\6x=2x+32\\$

Subtracting both sides by $2x$

$4x=32\\$

Dividing both sides by 4

$x=8$

Concentrate used in the juice = $x$ = 8 cups

Water used in the juice = $5x$ = $5\times8=40\ cups$

Total quantity of juice =8 + 40 = 48 cups

Thus, she made 48 cups of orange juice for her basketball team.

Now, as she poured the juice in 2 quart containers, we have to find number of containers could be filled, we will simply divide total quantity of juice by 2 quart

Number of 2 quart containers = 48 cups $\div$ 2 = 24 containers