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Archy [21]
4 years ago
12

Anna-Maria has added 4 quarts of an alcohol in water solution to 1 quart of water and her ending product is a 36% alcohol in wat

er solution. What was the concentration of the 4 quarts of alcohol solution that was added?
Mathematics
1 answer:
fomenos4 years ago
5 0
The concentration of solution would be the amount of the molecule divided by the volume. In this case, the solution concentration is 36% and the volume is 4 quarts + 1 quarts= 5 quarts. You are asked the concentration before 1 quarts added. The alcohol content should be same for both solutions. The answer should be:

concentration = alcohol content/ volume
alcohol content =concentration * volume
alcohol content1 =alcohol content2
36% * 5 quarts = concentration2 * 4quarts
concentration2= 36% * 5 quarts / 4 quarts= 45%
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Enter the values of x, y, and z. The diagram is not to scale.
nydimaria [60]

Answer:

x = 86

y = 67

z = 94

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

38 + 56 + x = 180

94 + x = 180 subtract 94 from both sides

x = 86

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the value of z:

56 + 38 = 94

again the sum of interior angles in a triangle is equal to 180:

19 + z + y = 180 we found z as 94

19 + 94 + y = 180

113 + y = 180 subtract 113 from both sides

y = 67

8 0
3 years ago
What is the straight-line distance between (2, -4) and (-3, 8) on a coordinate grid?
Scrat [10]
It is most likely 14 units so it would be A. I think.
6 0
3 years ago
MATH IS HARD. HELP<br> Change the following into a single fraction: 1− (a+b/a−b)
lianna [129]

Answer:

-2b/(a-b)

Step-by-step explanation:

1− (a+b/a−b)


We need to get a common denominator of a-b

1 = (a-b)/(a-b)

Replace 1 with (a-b)/(a-b)

(a-b)/(a-b) - (a+b)/(a-b)

Put over the common denominator

(a-b) - (a+b)

-----------------

(a-b)


Distribute the minus sign.

(a-b) - a-b)

-----------------

(a-b)

a-a-b-b

---------------

a-b


-2b

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a-b

6 0
3 years ago
Suzanne owns stock worth $2,400. She owes $5,200 in student loans, and $2,500 on a credit car. She owes $1,800 on a car that is
jekas [21]

Answer:

15,100

Step-by-step explanation:

because 5,200+2,500+8,000+1,800=17,500 which is how much she owes and what she has is 2,400 so 17,500- 2,400= 15,100 so her net worth is 15,100

3 0
3 years ago
A company uses this formula to work out the cost, £A, of a taxi ride.
velikii [3]

Answer:

£b = £1.68

A = £44.68

Step-by-step explanation:

Given:

A = 5 + 1.9m + b

Where,

A = total cost

m = number of miles travelled

£b = charge for booking online

£5 = fixed charge

A. Harry

A = £29.48

m = 12 miles

£b = ?

A = 5 + 1.9m + b

29.48 = 5 + 1.9(12) + b

29.48 = 5 + 22.8 + b

29.48 = 27.8 + b

29.48 - 27.8 = b

b = 1.68

£b = £1.68

b) If Sue books online and travels 20 miles, what will be

A = 5 + 1.9m + b

= 5 + 1.9(20) + 1.68

= 5 + 38 + 1.68

= 44.68

A = £44.68

7 0
3 years ago
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