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suter [353]
2 years ago
12

Jacque has 3 L of a 50% antifreeze mixture. How much 75% mixture should be added to get a mixture that is 60% antifreeze?

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
8 0

You need to add 2 L of the  75% mixture to get a mixture that is 60% antifreeze.

<h3>What is an antifreeze?</h3>

Anti  freeze is a substance that is added in order to prevent a liquid from freezing. An antifreeze is usually an ionic substances that is used during the winter to prevent the freezing of a liquid.

Now;

Forming the equation;

0.75*x+0.5*3=0.6(3+x)

Hence;

0.75*x+1.5=1.8+0.6x

Therefore;

0.75x-0.6x=1.8-1.5

We obtain;

0.15x=0.3

Then;

x=2L

Learn more about antifreeze:brainly.com/question/14789254

#SPJ1

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Write the contrapositive and the converse of the following conditional
Lunna [17]

The contrapositive statement are:

  • If the lake is frozen, then it isn't cold.
  • If Solomon is happy, then  he isn't healthy.
  • If Tigist  does not take a walk, then it will not rain

<h3>What is the converse statement?</h3>

The  converse statement are:

  • If the late is frozen, then it is cold.
  • If Solomon is happy, then he is healthy.
  • If Tigist Tigist  does not take a walk, then it will rain.

Note that the converse of a statement is created by the act of switching the hypothesis given and also the conclusion.

Therefore, The contrapositive statement are

  • If the lake is frozen, then it isn't cold.
  • If Solomon is happy, then  he isn't healthy.
  • If Tigist  does not take a walk, then it will not rain

Learn more about contrapositive statement  from

brainly.com/question/1713053

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6 0
2 years ago
Read 2 more answers
Paul has 12 coins in his pocket, consisting entirely of dimes and quarters. If he has a total of 195 cents in coins, how many co
anyanavicka [17]

Let x be the number of dimes

and y be the number of quarters

Total number of coins = 12

So number of dimes + number of quarters = total number of coins

x + y = 12 ---------> equation 1

We know, 1 Quarter = 25 cents, 1 Dime = 10 cents, total cents = 196

y quarters = 25y cents , x dimes = 10x cents

x dimes + y quarters = 195 cents

10x + 25y = 195 -----------> equation 2

Now solve both equations

x + y =12, we solve for y by subtracting x on both sides

y = 12-x

Now substitute y in second equation

10x + 25(12-x) = 195

10x + 300 -25x = 195 (combine like terms)

-15x + 300 = 195 (subtract 300 on both sides)

-15x = -105 ( divide by -15)

x=7

y= 12-x

y=12-7 = 5

The number of dimes = 7

Number of quarters = 5






8 0
3 years ago
The expression (x^22) (x^7)^3 is equivalent to x^p. What is the value of p?
SpyIntel [72]

Answer:

x^87

Step-by-step explanation:

Multiplying x^22 and x^7 results in x^29.

Then we have:

(x^29)^3 = x^87

Recall that (a^b)^c = a^(bc) and that a^b*a^c = a^(b + c)

5 0
3 years ago
Doris says 0 is not a rational number is she correct?
Sedaia [141]
As far as I know 0 IS a rational number. The only ones that are not rational are negative numbers. :) Though I could be wrong.....
7 0
3 years ago
Read 2 more answers
The general form of a circle is given as x^2+y^2+4x - 12y + 4 = 0. A) What are the coordinates of the center of the circle? B) W
Alex_Xolod [135]

Answer:

center = (-2, 6)

radius = 6

Step-by-step explanation:

<u>Equation of a circle</u>

(x-a)^2+(y-b)^2=r^2

(where (a, b) is the center and r is the radius)

Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.

Given equation:

x^2+y^2+4x-12y+4=0

Collect like terms and subtract 4 from both sides:

\implies x^2+4x+y^2-12y=-4

Complete the square for both variables by adding the square of half of the coefficient of x and y to both sides:

\implies x^2+4x+\left(\dfrac{4}{2}\right)^2+y^2-12y+\left(\dfrac{-12}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-12}{2}\right)^2

\implies x^2+4x+4+y^2-12y+36=-4+4+36

Factor both variables:

\implies (x+2)^2+(y-6)^2=36

Therefore:

  • center = (-2, 6)
  • radius = √36 = 6
7 0
2 years ago
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