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3 years ago

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out of every 162 containers of juice bought in a grocery store, 69 are orange juice. what fraction of juice purchased is orange

juice?

1 answer:

Zielflug [23.3K]3 years ago

7 0

69/162

happy to help:)

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Sonbull [250]

Answer:

$\sqrt{37}$

Step-by-step explanation:

The distance d between a point (m , n ) and a line in the form

Ax + By + C = 0 , is calculated as

d = $\frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }$

Here (m, n ) = (6, 2 ) and

6x - y = - 3 ( add 3 to both sides )

6x - y + 3 = 0 → A = 6, B = - 1, C = 3

d = $\frac{|6(6)+-1(2)+3|}{\sqrt{6^2+(-1)^2} }$

= $\frac{|36-2+3|}{\sqrt{36+1} }$

= $\frac{|37|}{\sqrt{37} }$

= $\frac{37}{\sqrt{37} }$ × $\frac{\sqrt{37} }{\sqrt{37} }$

= $\frac{37\sqrt{37} }{37}$ ← cancel 37 on numerator/ denominator

= $\sqrt{37}$

7 0

3 years ago

Please help me!!<br> (x+5) (x-2)<br> Any work out or help would be appreciated!!<br> Thanks! :)

Lostsunrise [7]

Answer:

Step-by-step explanation:

If you treat (x+5) as a single value and (x-2) as the values of x and +2, you can distribute (x+5) to x and +2: ( (x-5)*x + (x-5)*2 ). Then you can treat x-5 as the values of x and -5 and distribute those to the numbers next to them: (×^2 - 5x) + (2x - 10). This results in x^2 -3x - 10.

4 0

3 years ago

A drainage basin bordering the sea has an area of 7500 km2 . The average precipitation for this drainage basin is 900 mm year-1

Alexxx [7]

Answer with Step-by-step explanation:

The basic water balance dictates that "Amount of water flowing into the basin should be equal to the amount of water flowing out of it".

Mathematically

$Water_{in}=Water_{out}\\\\P=E+Q+I$

where

P = precipitation

I = Infiltration losses in the basin

E = Evapotranspiration

Q = is outflow from the basin

Applying the given values we get

$900=E+\frac{22.5\times 10^{8}}{7500\times 10^{6}}\times 1000+100\\\\900=E+300+100$

Part b)

From the above equation we get

$E=900-400=500mm/year$

The evaporation in cubic meters per year is

$E'=0.5\times 7500\times 10^{6}=3750\times 10^{6}m^3/year$

7 0

3 years ago

Given: ∆ABC, AB = BC, m∠1<90°. Perimeter of ∆ABC = 25. Difference between two sides is 4. Find: AB, BC, AC. Can someone help

goldfiish [28.3K]

Answer:

AB = 7, BC = 7 and AC = 11

Step-by-step explanation:

Let AB = BC = a and CA = b

Now, given that the perimeter of the triangle is 25.

So, 2a + b = 25 ............ (1)

And 4 is the difference between the two unequal sides.

Hence, b - a = 4 .............. (2)

⇒ 2b - 2a = 8 ........... (3)

Now, solving equations (1) and (3) we get, 3b = 25 + 8 = 33

⇒ b = 11

Hence, from equation (2) we get a = b - 4 = 7

Therefore, AB = 7, BC = 7 and AC = 11 (Answer)

8 0

3 years ago

If the sales tax rate in California is 7.25% then how much would you pay in Los Angeles for a pair of shoes that cost 39.00?

Lady_Fox [76]

Answer:

41.83

Step-by-step explanation:

39 x .0725)+ 39 = 41.827, rounded up = 41.83

3 0

3 years ago