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Kisachek [45]
3 years ago
6

7x+5=8x Please help !!

Mathematics
1 answer:
MakcuM [25]3 years ago
3 0

7x + 5 = 8x

=》 7x - 8x = - 5

=》 x = - 5 The final Answer!

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300 ml of pure alcohol is poured from a bottle containing 2 l of pure alcohol. Then, 300 ml of water is added into the bottle. A
Ede4ka [16]

Answer:

The present percentage of pure alcohol in the solution is 72.25% of pure alcohol

Step-by-step explanation:

The volume of pure alcohol poured from the 2 l bottle of pure alcohol = 300 ml of pure alcohol

The volume of water added into the bottle after pouring out the pure alcohol = 300 ml of water

The volume of diluted alcohol poured out of the bottle = 300 ml of diluted alcohol

The volume of water added into the bottle of diluted alcohol after pouring out the 300 ml of diluted alcohol = 300 ml of water

Step 1

After pouring the 300 ml of pure alcohol and adding 300 ml of water to the bottle, the percentage concentration, C%₁ is given as follows;

C%₁ = (Volume of pure alcohol)/(Total volume of the solution) × 100

The volume of pure alcohol in the bottle = 2 l - 300 ml = 1,700 ml

The total volume of the solution = The volume of pure alcohol in the bottle +  The volume of water added = 1,700 ml + 300 ml = 2,000 ml = 2 l

∴ C%₁ = (1,700 ml)/(2,000 ml) × 100 = 85% percent alcohol

Step 2

After pouring out 300 ml diluted alcohol from the 2,000 ml, 85% alcohol and adding 300 ml of water, we have;

Volume of 85% alcohol = 2,000 ml - 300 ml = 1,700 ml

The volume of pure alcohol in the 1,700 ml, 85% diluted alcohol = 85/100 × 1,700 = 1,445 ml

The total volume of the diluted solution = The volume of the 85% alcohol in the solution + The volume of water added

∴ The total volume of the twice diluted solution = 1,700 ml + 300 ml = 2,000 ml

The present percentage of pure alcohol in the solution, C%₂ = (The volume of pure alcohol in the 1,700 ml, 85% diluted alcohol)/(The total volume of the diluted solution) × 100

∴ C%₂ = (1,445 ml)/(2,000 ml) × 100 = 72.25 %

The present percentage of pure alcohol in the solution, C%₂ = 72.25%

3 0
3 years ago
If the sphere shown above has a radius of 14 units then what is the approximate volume of the sphere
oksano4ka [1.4K]

Answer:

About 11494.04

Step-by-step explanation:

There is no sphere shown above but I can still get you the answer:

The formula for the volume of a sphere is \frac{4}{3} *π*r³

Putting in the radius, we get:

\frac{4}{3}*π*14³=

\frac{4}{3}*π*2744=

\frac{10976}{3}*π=

3658.66*π≈11494.04

8 0
3 years ago
a deli sells a sandwich spread for 6.40 per pound. how much do you have to pay for 24 ounces of the spread
rjkz [21]
In the given question the most important part is convert ounce to pound and then the problem becomes easy. We already know
1 ounce = 0.0625 pounds
Then
24 ounce = 0.0625 * 24 pounds
                 = 1.5 pounds
Now let us focus on the problem in hand and the information's that are already given in the question.
The cost per pound of the sandwich sold by Deli = 6.40
Then
The cost of 1.5 pound of sandwich sold by Deli = 6.40 * 1.5
                                                                             = 9.60
So the cost of 24 ounces of spread is 9.60.
3 0
3 years ago
Read 2 more answers
True or false: “If a positive integer is divisible by both 2 and 3, then it is divisible by 12.”
Julli [10]
False because 6 is divisible by 2 and 3, but not 12
4 0
3 years ago
Help pliz Triangles ABC and DEF are similar.<br> Find the length of segment AC.
Natali5045456 [20]

Answer:

DE= 0.4

Step-by-step explanation:

8 0
3 years ago
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