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skelet666 [1.2K]
3 years ago
10

You were testing orange juice recipes it’s recipe calls for orange juice concentrate and water mix one has 4 cups of concentrate

and 6 cups of water makes two has one cup of concentrate in 3 cups of water in mixed three is 2 cups of concentrate in 4 cups of water which mixed will be the most orangey
Mathematics
1 answer:
Sav [38]3 years ago
4 0

Answer:

First mixed is the most orangey.

Step-by-step explanation:

First:

Orange\ juice\ concentrate=4\ cups\\\\Water=6\ cups\\\\Tota\ content=4+6=10\ cups\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{Orange\ juice\ concentrate}{Total\ amount}\times 100\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{4}{10}\times 100=40\%

Second:

Orange\ juice\ concentrate=1\ cups\\\\Water=3\ cups\\\\Tota\ content=1+3=4\ cups\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{Orange\ juice\ concentrate}{Total\ amount}\times 100\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{1}{4}\times 100=25\%

Third:

Orange\ juice\ concentrate=2\ cups\\\\Water=4\ cups\\\\Tota\ content=2+4=6\ cups\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{Orange\ juice\ concentrate}{Total\ amount}\times 100\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{2}{6}\times 100=33.33\%

First mixed has highest percentage of orange juice. Hence first mixed is the most orangey.

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julia-pushkina [17]

Answer:

y = 2x - 1

Step-by-step explanation:

Slope = (5-1) / (3-1) = 4/2 = 2

y-intercept = 1 - (2)(1) = - 1

y = 2x - 1

7 0
2 years ago
Four less than five times a number is equal to 11
hjlf
5x-4=11 is the equation you are referring to.
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3 years ago
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Find the equation that represents a line that passes through the point (7,-5) and has slope -4/7
Evgen [1.6K]

Answer:

The equation would be y = -4/7x - 1

Step-by-step explanation:

Given that we have the slope and the point, we can solve for the equation using point-slope form.

y - y1 = m(x - x1)

y + 5 = -4/7(x - 7)

y + 5 = -4/7x + 4

y = -4/7x - 1

6 0
2 years ago
Write the equation of the line perpendicular to y=5/3x+2 that passes through the point (-3,5)
Makovka662 [10]

Answer

The equation of the line in point-slope form is

y - 5 = (-3/5) (x + 3)

We can simplify this to obtain the slope-intercept form

y - 5 = (-3/5) (x + 3)

y - 5 = (-3x/5) - (9/5)

y = (-3x/5) - (9/5) + 5

y = (-3x/5) + (16/5)

Then, to put the whole thing in a simplified equation form, we multiply through by 5

y = (-3x/5) + (16/5)

5y = -3x + 16

3x + 5y = 16

Explanation

The general form of the equation in point-slope form is

y - y₁ = m (x - x₁)

where

y = y-coordinate of a point on the line.

y₁ = This refers to the y-coordinate of a given point on the line

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

x₁ = x-coordinate of the given point on the line

So, we just need to compute the slope of this line since a point on the line has already been provided (-3, 5)

For two lines with slopes m₁ and m₂ that are perpendicular to each other, the slopes are related through the relation

m₁m₂ = -1

And the slope-intercept form of the equation of a straight line is given as

y = mx + b

where

y = y-coordinate of a point on the line.

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

b = y-intercept of the line.

So, the slope of the line whose equation is given in the question is

m₁ = (5/3)

This is obtained by comparing y = mx + b with y = (5/3)x + 2

So, we can obtain the slope of the line that we need

m₁m₂ = -1

m₁ = (5/3)

m₂ = ?

m₁m₂ = -1

(5/3) × m₂ = -1

(5m₂/3) = -1

Cross multiply

m₂ = (-3/5)

So, we can write the equation in point-slope form now

Recall that

y - y₁ = m (x - x₁)

m = slope = (-3/5)

Point = (x₁, y₁) = (-3, 5)

x₁ = -3

y₁ = 5

y - y₁ = m (x - x₁)

y - 5 = (-3/5) (x - (-3))

y - 5 = (-3/5) (x + 3)

Hope this Helps!!!

4 0
1 year ago
Solve the following
mihalych1998 [28]
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2) 3x-40=80x
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x= 40+77
x= 117

Hope this helps you!
6 0
3 years ago
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