how many quarts of pure antifreeze must be added to 6 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution

Answers

Answer 1

Answer:

3 quarts

Step-by-step explanation:

First, find how many quarts of antifreeze is in the mixture.

0.4 x 6 = 2.4

Now, make it into a fraction by putting the antifreeze amount over the rest so:

2.4/6

Now add + a at the end of the numerator and bottom to make:

2.4 + a/ 6 + a.

Now, turn the percentage you want to strengthen or weaken the mixture into a percentage. So, 3/5.

Now, make it an expression by adding = 3/5 at the end of the equation.

2.4 + a/ 6 + a = 3/5

Now, use cross multiplication.

12 + 5a = 18 + 3a

Now, solve the equation.

12 + 5a = 18 + 3a

-3a. -3a

12 + 2a = 18

-12. -12

2a = 6

/2. /2

a = 3.

Therefore, the answer is 3 quarts.


Related Questions

In a circle, an angle measuring 8.2 radians intercepts an arc of length 30. Find the
radius of the circle to the nearest ioth.

Answers

Answer: r=3.659 or 3.7

Step-by-step explanation:

During the month of April, Samantha Kept
track of the number of days she saw a
hummingbird in her garden. She saw a
hummingbird 18 days during that 30 day
month. Based on this information, how
many days will she see a hummingbird
during the 180 day summer?

Answers

Answer:

she will see 108 humming birds

Step-by-step explanation:

30x6= 180

so mutiply how many times she sees one in a month by 6

Answer:

3240

Step-by-step explanation:

You want to buy a pet rabbit that costs ​$49. You already have ​$18 and you plan to save ​$9 per week. If w represents the number of weeks until you have enough money to buy the rabbit​, what equation could you use to find the value of​ w? Use pencil and paper. Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the rabbit in six weeks.

Answers

Answer:

You would need $31 so W=4 and you would have $5 left

Step-by-step explanation:

i did 49 minus 18 which gave me 31 so 9c3 would be 27 so i did 9 times 4 would =36 and if you work for 6 weeks you would have 54 and add 18 to it and you would have $72

sorry if im wrong or late

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

Coordinates switch, and the new y-coordinate changes sign

Explanation:

We have point A with the coordinates (-1,2), when we rotate it c90º it becomes (2,1).

What happened? The coordinates switched and the x-coordinate of A (-1) became the y-coordinate of A' (1) and it changed its sign.

Answer:

A. The coordinates switch and the new x-coordinate changes sign

Step-by-step explanation:

Hope this helps! ✌️

4. What percent of values is between the first and third quartiles?
5. Find the interquartile range.

Answers

Answer:

IQR = 2.5

Step-by-step explanation:

Question 5:

IQR=Q1-Q3

IQR=4.75-2.25 = 2.5

Question 4:

Q1=2.5 and Q3=4.75 between those two is the median so, it may be 3.0 or 3% just not positive on question 4.

Can anyone else help on question 4?


1.6
Study the following temperature conversions and answer the questions that
follow
°C =( °F 32°C) = 1.8
OF = (1,8 x °C) + 32
The melting point of ice is 0°C, what is this temperature in degrees
2
1.7
Fahrenheit?
2
1.8
Determine the temperature in degrees Celsius if the temperature is 95°F
[12]

Answers

Answer:

a.  0°C = [tex]32^{o}[/tex]F

b.  95°F = [tex]35^{o}[/tex]

Step-by-step explanation:

a. The temperature of melting point of ice (0°C) in degrees Fahrenheit can be determined as;

OF = (1.8 x °C) + 32

     = (1.8 x 0) + 32

OF = 32

Thus the temperature is [tex]32^{o}[/tex]F.

b. 95°F in degrees Celsius can be determined by;

°C = ( °F - 32) ÷ 1.8

    = (95 - 32) ÷ 1.8

    = 63 ÷ 1.8

°C  = [tex]35^{o}[/tex]

Thus the temperature is [tex]35^{o}[/tex]C.

a ski resort charges $45 for an All day lived pass and $40 per day for renting boots and a snowboard. At a store, you can buy boots and a snowboard for $360. How many times must you go snowboarding at the ski resort for the cost of buying your own boots and snowboard to be less than renting them?

Answers

U can go 14 times, your welcome

Pls help 15 points What is the are of the trapezoid?

Answers

Answer:

D) 156 mm²

Step-by-step explanation:

18+8=26

26/2=13

13x12=156

I will mark brainliest!!!Use the coordinate grid to determine the coordinates of point A A. What are the coordinates of point A?​

Answers

Answer:

(-1/4, 1 3/4)

Step-by-step explanation:

The first thing to look at is the scale of the grid. To do that, look at the x-axis (horizontal). The space between 0 and 1 has been divided into 4 equal parts, so each part (square) is worth 1/4 in the horizontal directio.

The scale on the y-axis (vertical) is similar. Again, the space between 0 and 1 is divided into 4 equal parts, so each square represents 1/4 in the vertical direction.

To get to point A, begin at the origin, then go left one space. The x-coordinate of point A is -1/4. Now go up to point A, moving up through 7 spaces. The y-coordinate of point A is 7/4 = 1 3/4.

Jynessa wants to order these fractions: StartFraction 4 over 9 EndFraction, two-thirds, one-sixth, Negative 2 and one-half. What should she use as her common denominator?

Answers

your answer would be D. 18

did it on edge :)

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

UV=7,-3

Step-by-step explanation:

The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?

Answers

Answer:

4 pounds

Step-by-step explanation:

Find the highest common factor(HCF) of 18 and 24

Answers

18 - 2,3,6,8
24 - 2,4,6,8,12

HCF = 8

can someone please help me

Answers

Answer:

B/ The second one

Step-by-step explanation:

up down/down up= y axis

side to side= x axis

The triangles have the same coordinates if reflected across the y axis.

Have a wonderful day! May I have brainliest?

At the school fall festival, the student council sold sodas as a fundraiser. The table below shows the number of sodas they sold and the cumulative total money.

Sodas Sold Money Collected
0 $0.00
2 $3.00
5 $7.50
9 $13.50
10 $15.00

Based on the information, what is the price per soda?
A.
$1.50 per soda
B.
$0.50 per soda
C.
$2.25 per soda
D.
$2.50 per soda

Answers

Answer A is correct

What is the name of the object pictured below?

Answers

Answer:

b

Step-by-step explanation:

Answer: D) KJ

Step-by-step explanation:

The object shown is a ray. It has a fixed starting point, but does not have an endpoint.

The blue segment below is a radius of oo. What is the length of the diameterof the circle?

Answers

Answer:

Diameter = 18.6 units

Step-by-step explanation:

radius = 9.3 units

Diameter = 2 × radius

= 2 × 9.3

= 18.6 units

Helppp meeeee plssss I would me the world

Answers

Answer:

its 3 trust me

Step-by-step explanation:

Answer:I’m thinking it’s the first one but someone else might know for sure sorry

Step-by-step explanation:

(x +y)(x-y), ifx= -3, y=-5

Answers

Answer:

-16

Step-by-step explanation:

(-3 + (-5))(-3 - (-5))

(-3 - 5)(-3 + 5)

(-8)*2

-16

It’s -16

(-3+(-5))(-3-(-5))
(-8)(2)
-16

Plz help just solve quicklyyy

Answers

Answer:

d

Step-by-step explanation:

Please help and explain

Answers

Answer:

(a)

[tex](2,0)[/tex]

(b)

[tex](0,-2)[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1)= (4,2)[/tex] --- point

[tex]m =1[/tex] -- slope

Solving (a): The zeros of the function

First, we calculate the equation using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 1 * (x - 4) + 2[/tex]

Open bracket

[tex]y = x - 4+ 2[/tex]

[tex]y = x -2[/tex]

The zeros also is: [tex]y=0[/tex]

[tex]0 = x - 2[/tex]

[tex]x =0+2[/tex]

[tex]x =2[/tex]

So, the solution to be is

[tex](2,0)[/tex]

(b) The y intercept is:

Substitute [tex]x=0[/tex]

[tex]y = 0 -2 = -2[/tex]

We have:

[tex](0,-2)[/tex]


Factor the expression.
20b + 35 =
(Factor completely.)

Answers

Answer:

I think it would be 5(4b+7)

Step-by-step explanation:

I divided both terms by 5.

Factor each completely.

2x3 - 9x2 + 9x

Answers

Answer:

x(2x−3)(x−3)

Step-by-step explanation:

2x^3−9x^2+9x

= x(2x−3)(x−3)

In the image below, line q is parallel to liner, and line s is a transversal.
D
9
B
What is the relationship between the measures of ZAand ZB?
The measures of Aand ZB are
becuase they are

Answers

Answer:

equal

alternate exterior angles

Step-by-step explanation:

The measure of given angles are equal to each other because they are alternate exterior angles,

Two families are saving money for a vacation. The Juarez family has saved $1000 and will save $50 more each week. The Kim family has saved $500 and will save $75 more each week. Write a system of equations to represent how much money each family will save.

Answers

Answer:

There are many ways you could put this let me demonstrate.

Step-by-step explanation:

If they were to do this for a year (52 weeks) that would be 50x52=2600+1000=3600. Then 75x52=$3900+500=$4400. but if you were to cut that time in half to 6 months it would go something like this. 50x26=1300+1000=2300. Then 75x26=1950+500=2450. It all has to do with the time. I hope this helped.

answer please ill give brainlist and ten points

Answers

Answer:

The answer is 32.

Step-by-step explanation:

7 * A =

7 * 4 = 28

b^2 =

6^2 = 36

28 + 36 ÷ 9 = 32

So, the answer is 32.

Hope this helps! :)

(Quick plz!!)
The Venn diagram represents different categories of real numbers. Which category on the Venn diagram is represented by this set?
[-8,1, 23. 11. 49)
A)
Irrational Numbers
B)
Integers
C
Natural Numbers
D
Rational Numbers

Answers

Answer:

the answer is d

Step-by-step explanation:

I just took the test

4(x + 1) + 8 = 24
how do i solve this

Answers

Answer: x = 3

First, you can multiply the 4 with the x and the 1:

4x + 4 + 8 = 24

Now, you just add the 4 and the 8 together:

4x + 12 = 24

Subtract 12 from both sides:

4x = 12

Now you divide by 4 from both sides

x = 3

^ and that's your final answer!

Answer:

x=3

Step-by-step explanation:

4x+4+8=24

4x+12=24

4x=12

4x/4=12/4

(x=3)

Solve the formula S=43.14r^2 for r.

Answers

Your would be B

Explanation:

Help......................

Answers

7 is the answer. hope this helps!
the answer is 7, have a good day and good luck
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