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algol13
3 years ago
8

A formula for 8 bottles of window cleaner calls for 6 cups of rubbing alcohol, 2.25 gallons of water, and 1.5 cups of ammonia. H

ow many quarts of rubbing alcohol would the formula call for if a factory made 1,280 bottles for stores to sell to customers?
Mathematics
2 answers:
lawyer [7]3 years ago
8 0

Answer:

240 quarts

Step-by-step explanation:

If 8 bottles of window cleaner calls for 6 cups of rubbing alcohol and we want to know how many quarts of rubbing alcohol would the formula call for 1,280 bottles, the next proportion must be satisfied:

8/1280 = 6/x

x = 6*1280/8

x = 960 cups

We know that 1 cup =  0.25 quarts, then, the conversion of cup to quart is:

960*0.25 = 240 quarts

tamaranim1 [39]3 years ago
7 0
240 quarts----------
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Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo
Alla [95]

Answer:

\displaystyle y=-\frac{1}{2}x+4

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

y - 12 = 2x -8

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

y = 2x +4

The coefficient of the x is the slope

m=2

The slope of the perpendicular line is the negative reciprocal of m, thus

\displaystyle m'=-\frac{1}{2}

We know the second line passes through (2,3). That is enough information to find the second equation:

y-y_o=m'(x-x_o)

\displaystyle y-3=-\frac{1}{2}(x-2)

Operating

\displaystyle y=-\frac{1}{2}(x-2)+3

Simplifying

\displaystyle y=-\frac{1}{2}x+4

That is the equation in slope-intercept form. Intercept: y=4

8 0
2 years ago
Find the value of the variable.
Alinara [238K]

Answer:

x = 25√2, y = 25

Step-by-step explanation:

x = 25(√2) = 25√2

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8 0
2 years ago
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part 3. Find the coordinates of the vertices of the triangle after a reflection across the y-axis and then across the line y= 2.
garik1379 [7]

Answer:

  c.  S'(3, 1), T'(1, -1), U'(0, 1)

Step-by-step explanation:

Reflection across the y-axis negates the x-coordinate, so is equivalent to the transformation ...

  (x, y) ⇒ (-x, y)

Reflection across the horizontal line y=c is equivalent to the transformation ...

  (x, y) ⇒ (x, 2c-y)

So, the combined reflections are equivalent to the transformation ...

  (x, y) ⇒ (-x, 4 -y)

Then we have ...

  S(-3, 3) ⇒ S'(-(-3), 4-3) = S'(3, 1)

  T(-1, 5) ⇒ T'(-(-1), 4-5) = T'(1, -1)

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7 0
3 years ago
What is the missing output value in the function table below
elena-s [515]

Answer:

2

Step-by-step explanation:

It makes sense because it goes down one by one in both the input and output values

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3 years ago
Fargus deposits $366 in a savings account at City BankThe account pays an annual interest rate of 5 percent She makes no other d
ch4aika [34]

The Simple interest after three month $423.70

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Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

If she deposits $366 in the account and you receive interest, you must first calculate the interest for the current year before adding the sum to calculate the interest for the following month.

for instance, deposit plus interest equals the new amount for month one, month one amount plus interest equals amount for month two, and month two amount plus interest equals amount for month three.

The total would thus be $423.70 for the following month:

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403.52+(403.52*.05)=x

403.52+20.18=x

423.7 = x

Thus, total amount then would be $423.70

To know more about Simple Interest click on the link

brainly.com/question/25793394

#SPJ10

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1 year ago
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