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Komok [63]
3 years ago
5

A tank has a capacity of 10 gallons. When it is full it contains 15% alcohol. How many gallons must be replaced by an 80% soluti

on to goive 10 gallons of a 70% solution?
Mathematics
1 answer:
PIT_PIT [208]3 years ago
5 0

Answer:

8.46 gallons needed to be replaced

Step-by-step explanation:

Let x be the alcohol amount that replaced

-Original has concentration of 15% multiply by the amount of 10 ,which is equal to (0.15×10).

-Removed has concentration of 15% multiply by the amount of x ,which is equal to (0.15 × X).

-Added has concentration of 80% multiply by the amount of X ,which is equal to (0.8× X).

-Solution has concentration of 70% multiply by the amount of 10 ,which is equal to (0.70×10).

So that, the equation will be:

Solution=Original + added - removed

7=1.5+0.8x-0.15x

7-1.5=0.65x

0.65x=55

x=55/0.65

x=8.46

8.46 gallons needed to be replaced.

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sveticcg [70]
What you can do in this case is the following rule of three to find the result:
 1 light year ---> 5.88 * 10 ^ 12 miles
 3.2 * 10 ^ 2 light year ---> x
 Clearing x we have:
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 answer:
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8 0
3 years ago
You separate 42 bulbs of garlic into two groups:one for planting and one for cooking. You will plant 3 bulbs for every 4 bulbs t
alexira [117]

Answer:

144 cloves

Step-by-step explanation:

You separate 42 bulbs of garlic into two groups:one for planting and one for cooking.

We have a ratio of planting to cooking

Planting : Cooking

You will plant 3 bulbs for every 4 bulbs that you will use for cooking.

Hence: 3 : 4

The total of their proportion = 3 + 4 = 7

Hence:

The number of garlic you plant =

3/7 × 42 = 18 bulbs of garlic

The number of garlic you use to cook =

4/7 × 42 = 24 bulbs of garlic

We are also told that:

Each bulb has about 8 cloves. How many cloves of garlic will you plant?

From the calculation above , we know the number of bulbs of garlic been planted

= 18 bulbs.

Hence:.

1 bulb = 8 cloves

18 bulbs = x

x = 8 cloves × 18 bulbs

x = 144 cloves

Therefore, you will plant 144 cloves of garlic

6 0
3 years ago
7. In each case, write an equation that models the situation described. a) An antique is purchased for $5000 in 1990. It appreci
balandron [24]
A) A= 5000 x .0325 ( 31)
A= 5,037.50

.0325 = 3.25%
31 years 2021-1990 = 31


3 0
3 years ago
(Easy) For the following quadratic function, find the axis of symmetry, the vertex and the y-intercept. y = x^2 + 12x + 32
hammer [34]

Answer:

y  ( \times  + 6) 2 - 4

7 0
2 years ago
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Answer:

There is a decreasing pattern the farther they are the less likely hit the target.

Step-by-step explanation:

4 0
3 years ago
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