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Sophie [7]
3 years ago
6

In the lab, Miguel has two solutions that contain alcohol and is mixing them with each other. He uses 400 milliliters less of So

lution A than Solution B. Solution A is 16% alcohol and Solution B is 20% alcohol. How many milliliters of Solution B does he use, if the resulting mixture has 476 milliliters of pure alcohol
Mathematics
1 answer:
kifflom [539]3 years ago
7 0

Answer:

Amount of B used = 276.6 millimeters

Step-by-step explanation:

A = A millimeters

B = A + 400 millimeters

Hence

Taking an overall balance

(0.16 x A) + (0.2)(A+400) = 476

0.16A + 0.2A + 80 = 476

A = 1100 millimeters

B = 1100 + 400 = 1500 millimeters

Hence using direct proportion

2600 --------------------476

1500 ---------------------X

X = 276.61538

Amount of B used = 276.6 millimeters

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Carrie has 40 more nickels than Joan has dimes. They both have the same amount of money. How many coins does each girl have? Wha
LuckyWell [14K]

Answer:

Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.

Step-by-step explanation:

Let be x and y the amounts of nickels and dimes that Carrie and Joan have, as c the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.

The following equations are constructed after a careful reading on statement:

Carrie's amount of money:

0.05\cdot x = c (Eq. 1)

Joan's amount of money:

0.10\cdot y = c (Eq. 2)

Relation between amounts of coins:

x = y+40 (Eq. 3)

First we eliminate c by equalizing (Eq. 1) and (Eq. 2):

0.05\cdot x = 0.10\cdot y

Then, we reduce the resulting formula by (Eq. 3):

0.05\cdot (y+40) = 0.10\cdot y

y+40 = 2\cdot y

y = 40

And rest of variable are now determined:

x = 40+40

x = 80

c = 0.05\cdot (80)

c  = 4

Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.

5 0
2 years ago
A restaurant has one type of lemonade that is 12% sugar and another that is 7% sugar. How many gallons of each type does that re
alexira [117]
For the restaurant to make 20 gallons of a lemonade mixture that is 10% sugar, they need 12 gallons of the 12% lemonade and 8 gallons of the 7% lemonade. The correct answer is A. 
7 0
3 years ago
Jenny buys 22 pens that cost $1.15 each and 15 markers that cost $2.05 each. How much did Jenny spend?​
kykrilka [37]

You would do for pens

22 x 1.15 =25.30

And for markets

15 x 2.05 = 30.75

And since you are trying to find how much he spent in all you would add the two sums

25.30 + 30.75 = 56.05

4 0
2 years ago
Read 2 more answers
F(a)=|x-6|-|x+5|<br><br> evaluate
Aleksandr-060686 [28]
X=1/2
Alternative: 0.5 or 2^-1
3 0
2 years ago
Angle 2 is 110 degrees. Allen claims that we do not have enough information to solve for angle 1. Is he correct? Why or why not?
devlian [24]

Allen's claim that we do not have enough information to solve for angle 1 is incorrect

<h3>How to calculate the measure of angle 1</h3>

Given that:

Angle 2 = 110 degrees

Angle 1 and angle 2, are the only angles on the straight line.

So, we have:

\angle 1 + \angle 2 = 180

Substitute 110 for angle 2

\angle 1 + 110 = 180

Subtract 110 from both sides

\angle 1 = 70

The measure of angle 1 is 70 degrees.

So, we can conclude that Allen's claim is incorrect

Read more about angle theorems at:

brainly.com/question/6766389

3 0
2 years ago
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