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Veronika [31]
3 years ago
14

The average american family of four recycles how many pounds of material each year? 200 lbs 500 lbs 750 lbs 1000 lbs

Mathematics
1 answer:
gavmur [86]3 years ago
3 0
The average american family of four recycles 1000 lbs of material each year.
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Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}
krok68 [10]

Answer:

|p-q|-(|p|-|q|) = 20

Step-by-step explanation:

First let's find the value of 'p-q':

p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\

To find |p-q| (module of 'p-q'), we can use the formula:

|ai + bj| = \sqrt{a^{2}+b^{2}}

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'

So we have:

|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25

Now, we need to find the module of p and the module of q:|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15

|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10

Then, evaluating |p-q|-{|p|-|q|}, we have:

|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20

7 0
3 years ago
Linda needs 20 gallons of juice that has 75%fruit juice. she has a mixture that has 80% fruit juice and another mixtures that ha
suter [353]
Linda should use ...
  15 gallons of 80% juice
  5 gallons of 60% juice

_____
Let g represent the number of gallons of 80% juice needed. Then (20-g) is the number of gallons of 60% juice Linda will use. The amount of juice in the mixture can be written as
  0.80g +0.60(20 -g) = 0.75×20
  0.20g = 20(0.75 -0.60) = 20×0.15
  g = 20×0.15/0.20 = 15
The amount of 80% juice needed is 15 gallons, so 5 gallons of 60% juice are needed.
5 0
3 years ago
Please help the question is in the picture
Oduvanchick [21]

Answer: C

Step-by-step explanation:

You need to substitute x for 2.5. After that, multiply 101 and 2.5 to get 252.5. Then, add 252.5 and 207.85 to get 460.35.

7 0
3 years ago
Five times the number of test tubes in a school’s chemistry lab exceeds three times the number of beakers it has by 660. The sum
Usimov [2.4K]
<span>5t=3b+660....and ... 2t+5b=450

from the first we can see that t=(3b+660)/5 and using this value in the second...

(6b+1320)/5+5b=450 making all have common denominator..

6b+1320+25b=2250

31b=930

b=30...and since 2t+5b=450

t=150</span>
4 0
3 years ago
hi people i suck at math and is in 10th grade i have a question if you start at 5,2 and move 3 units left and 2 units up what do
irina [24]

Answer:

(2,4)

Step-by-step explanation:

left( - ) and right( + ) (x axes)

up( + ) and down( - ) (y axes)

(5,2)  just add

5 - 3 = 2

2 + 2 = 4

Answer :

(2,4)

8 0
4 years ago
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