How many quarts of pure antifreeze must be added to 8 quarts of a 20% antifreeze solution to obtain a 30% antifreeze solution?


(Round to the nearest tenth as needed.) ​

Answers

Answer 1

9514 1404 393

Answer:

  1.1 quarts

Step-by-step explanation:

Let x represent the amount to be added, in quarts. Then the amount of anti-freeze in the resulting solution is ...

  0.20(8) + 1.00(x) = 0.30(8 +x)

  0.70x = 0.10(8) . . . . . . subtract 0.20(8)+0.30(x)

  x = 8/7 . . . . . . . . . . . . . divide by the coefficient of x

  x ≈ 1.142857 ≈ 1.1

About 1.1 quarts of pure antifreeze must be added.


Related Questions

At the neighborhood grocery, 55 pounds of steak cost \$20.60$20.60. How much would it cost to buy 44 pounds of steak?

Answers

Answer:

$16.48

Step-by-step explanation:

Create a proportion where x is the cost of 44 pounds of steak:

[tex]\frac{55}{20.60}[/tex] = [tex]\frac{44}{x}[/tex]

Cross multiply and solve for x:

55x = 906.4

x = 16.48

So, the cost of 44 pounds of steak is $16.48

Help please!!!!!!!!!!!!!!!!

Answers

All you would have to do is substitute!
Answer:

First one will be 2
Second one will be 10
Third one will be undefined

Explanation:
So for the first one you are substituting x for -3 so then the equation would look like this: -3^2+9/-3^2, this will equal to 9+9/9 which your answer would be 2 since 18/9 is 2. For the second one it will look like this -1^2+9/-1^2 which would be 1+9/1, this would equal to 10. For the last one it will look like this 0^2+9/0^2 which would just be 0+9/0 9/0 would be undefined.

Solve for x using the
distributive property.
2(x - 5) = 10

Answers

Answer:

x=10

Step-by-step explanation:

2x-10=10

2x=20

x=10

Answer:

x=10

Step-by-step explanation:

2(x - 5) = 10

You would first multiply 2 by x and 5

2x-10 = 10

then you would add ten to both sides

2= 20

then you would divide 2 by 20

x=10

Noah earned $232.70 at his job for 13 hours . How much money did he earned each hour

Answers

Answer: $20.82 per hour

Step-by-step explanation:

Answer:

$17.90 per hour

Step-by-step explanation:

Take $ 232.70 and divide it by 13 hours. Noah earned $17.90 every hour he worked.

#4 . Simplify the expression 2(x − 8) + 2(12). *

Answers

Answer:

x = -4

Step-by-step explanation:

2x-16+24 = 2x+8

2x = -8

x = -4

Hey there!

2(x - 8) + 2(12)

DISTRIBUTE 2 WITHIN PARENTHESES

= 2(x) + 2(-8) + 2(12)

= 2x - 16 + 24

COMBINE the LIKE TERMS

= 2x + (-16 + 24)

= 2x + 8


Therefore, your answer is: 2x + 8


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

If anyone could please solve this for me and give me a simple explanation as to how I will greatly appreciate it!

Answers

Answer:

I am sorry I dont understand it

Step-by-step explanation:

For the equation, x-7=24, can a value be substituted for x to make that a true number sentence? How many values could be substituted for x and have a true number sentence?

Answers

we add 7 to both sides, making x=31. we can substitute 31 and make the true number sentence.
only 31 can be substituted, as it is only one x value, holding only one true value, which we found out is 31.
hope this helped!! xx

Answer:

1 variable or 31

Step-by-step explanation:

7+24=31 giving you the only variable

What is the fifth term of the geometric sequence whose first three terms are 486, 162, and 54?

a. 2
b. 3
c. 4.5
d. 6
e. 9

Answers

Answer:

6

Step-by-step explanation:

an = ar^(n-1)

a = first term

n = nth term

r = common ratio

r = r2 / r1 = r3 / r2

The first 3 terms are :

486, 162, and 54

Hence,

a = 486

r = 162 / 486 = 1/3

Hence ;

a5 = 486(1/3)^5 - 1

a5 = 486(1/3)^4

a5 = 486(1 / 81)

a5 = 486 * 1 / 81

a5 = 486 / 81

a5 = 6

The 5th term of the geometric progression will be ; 6

George is given two circles, circle O and circle X, as shown. If he wants to
prove that the two circles are similar, what would be the correct second step
in his proof?
Given: The radius of circle O is r, and the radius of circle Xis t.
Prove: Circle Ois similar to circle X.
1.c - 2sr and C'- 2rr' by the definition of circumference.
2.
3. d= 2rand d = 2 by the definition of diameter.
4. d 2r and d ;by the division property of equality.
5.2 and by the substitution property.
d'-2r
6. Circle Ois similar to circle Xbecause all the linear dimensions are in the
same proportion.
(

Answers

Answer:

B the division one

Step-by-step explanation:

The solution is, : B.) The correct second step for the given proof is;

C/C' = 2πr/2πr' and, C/C' = r/r'

by the division property of equality.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Explanation:

We want to find the correct second step for the given proof.

Recall that from division property of equality, when we have;

a=b and c=d, dividing the equations by each other, the equation will still be equal;

a/c = b/ d

For the given Prove;

statement 1 states that the circumference circle 1 and 2 can be expressed as;

C = 2πr and, C' = 2πr'  

So, for step 2;

Applying the division property of equality, we have;

C/C' = 2πr/2πr'

which then equals,

C/C' = r/r'

Therefore, the correct second step for the given proof is;

C/C' = 2πr/2πr' and, C/C' = r/r'

by the division property of equality.

To learn more on division click:

brainly.com/question/21416852

#SPJ7

A bag contains colored tiles.

* 7 tiles are red

* 6 tiles are green

* 7 tiles are blue

A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green?

Answers

Answer:

0.35

Step-by-step explanation:

Please help me I need to turn in tomorrow

Answers

Answer:

D. 0.5

Step-by-step explanation:

There are 4 groups

1. Alto

2. Bass

3. Tenor

4. Soprano

The question says "what is the probability that this member comes from the alto section"

Since there are 4 groups, I did 4/8 (since there are 8 people in Alto) and I got 0.5.

Hope I got it right and it helped you

*Note* I most likely got it right I just doubt myself too much lol

But just in case, I hope I got it right.

Answer:

there are 4 parts in that choir and the alto members are 8 in number so we say those in alto divided by the number of parts, we get→ 4÷8 =0.5, that's the ans.

I need the answer ASAP

Answers

Answer: C) Bottom Left Graph

Step-by-step explanation:

Functions can only have one y value for each x value. Each input has a single output. The only graph that satisfies this is the third graph on the bottom left.

Luke went to a blackjack table at the casino. At the table, the dealer has just shuffled a standard deck of 52 cards.
Luke has had good luck at blackjack in the past, and he actually got three blackjacks with Queens in a row the last time he played. Because of this lucky run, Luke thinks that Queens are the luckiest card.
The dealer deals the first card to him. In a split second, he can see that it is a face card, but he is unsure if it is a Queen.
What is the probability of the card being a Queen, given that it is a face card? Answer choices are in a percentage format, rounded to the nearest whole number.
a) 8%
b) 4%
c) 33%
d) 77%

Answers

Answer:

c) 33%

Step-by-step explanation:

In a  standard deck of cards, there are 52 cards total and of those 52, there are 12 face cards. One-third of those face cards are queens, (because there are 4 queens in a deck of cards, and [tex]\frac{4}{12}=\frac{1}{3}[/tex]). Therefore, there is a 33% chance that the card Luke holds is a queen.

Answer:

33%

Step-by-step explanation:

Got it right on the test.

What is the answer for number 8 and 9 do not worry about 10

Answers

Answer:

8. 2

9. C

Hope this helps :)

picture below/above..............
thanks

Answers

Answer:

a=33

hope it helps again.

Answer:

7.2" was replaced by "(72/10)". 2 more similar replacement(s)

(38/10)-(p/3-(72/10))=0

36

Simplify ——

5

38 P 36

—— - ( — - ——) = 0

10 3 5

The left denominator is : 3

The right denominator is : 5

Least Common Multiple: 15

L. Mult. • L. Num. p • 5

—————————— = —————

L.C.M 15

R. Mult. • R. Num. 36 • 3

—————————— = —————

L.C.M 15

p • 5 - (36 • 3) 5p - 108

——————— = —————

15 15

19

Simplify ——

5

19 (5p - 108)

—— - —————— = 0

5 15

The left denominator is : 5

The right denominator is : 15

L. Mult. • L. Num. 19 • 3

——————— = ————

L.C.M 15

R. Mult. • R. Num. (5p-108)

————————— = ————

L.C.M 15

19 • 3 - ((5p-108)) 165 - 5p

————————— = ——————

15 15

165 - 5p = -5 • (p - 33)

-5 • (p - 33)

—————— = 0

15

-5•(p-33)

—————— • 15 = 0 • 15

15

-5 • (p-33) = 0

-5 = 0

p-33 = 0

p = 33

need the answer please thank you!

Answers

Answer:

Step-by-step explanation:

Givens

a1 = -70

d = -10

an = - 100

Formula

an = a1 + (n - 1)*d

Solution

-100 = -70 + (n - 1)*-10               Remove the brackets.

-100 = - 70 + -10n + 10              Combine

-100 = -60 - 10n                        Add 60 to both sides

-100+60 = -60+60 - 10n           Combine

-40 = - 10n                                 Divide by - 10

-40/-10 = n

n = 4

helppp i need help yall

Answers

Answer: The answe is D

Step-by-step explanation: A and B is wrong and C was the same as D but it is wrong becuase the slope has to be neagtive

D is the answer I think sorry if wrong

what is 33.7 divided by 9.5 equals ?

Answers

Answer:The answer is 3.5273684211

Step-by-step explanation:

I your round it up then it would be 3.5

Answer:

33.7/9.5 = 3.547368421...

The difference of five times a number and 6 totals 29

Answers

Step-by-step explanation:

Let x represent the number.

We have 5x - 6 = 29 or 6 - 5x = 29.

=> 5x = 35 or 5x = -23

=> x = 7 or x = -4.6.

The number can be 7 or -4.6.

We have 5x - 6 = 29 or 6 - 5x = 29.

=> 5x = 35 or 5x = -23

=> x = 7 or x = -4.6.

The number can be 7 or -4.6.

Jana continues training for a triathlon that includes a 112-mile bike ride. Today, she rode her bike 12 miles in 60 minutes. Then she ran for 15 miles in 2 hours. What is Jana’s running rate in miles per hour?

Answers

Answer:

16 miles

Step-by-step explanation:

(3,4);m=-z in point slope formula

Answers

Given:

Point = (3,4)

Slope : m = -z

To find:

The point slope formula.

Solution:

Point slope form: If a line passes through the point [tex](x_1,y_1)[/tex] and having slope m, then the point slope form of the line is

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

The line passing through the point (3,4) and having slope -z.

Putting [tex]x_1=3,y_1=4, m=-z[/tex], we get

[tex]y-4=-z(x-3)[/tex]

Therefore, the required point slope form is [tex]y-4=-z(x-3)[/tex].

The steps Thomas used to solve an equation are shown.
Given: 10-2(x-1)=8
Step 1: 8(x-1)=8
Step 2: x-1=1
Step 3: x=2

Answers

Answer:

There is an error in step 2

Step-by-step explanation:

you have to multiply -2 with x and -1 first and not subtract -2 from 10 first.

Answer:

there is an error in step 2

Step-by-step explanation:

10-2(x+1)=8

8(x-1)=8

8x-8=8

   +8  +8

8x= 16

/8   /8

x=2

Mark casts a shadow that is 4 feet long . At the same time , a nearby tree casts shadow that is 20 feet long . If Mark is 6 feet tall , how tall is the tree?

Answers

If Mark is 6 feet tall and his shadow is 4 feet long 6-4 = 2 so there is a 2 foot difference so the tree would be 18 feet tall

Millie has 2 apples, If millie picks 158 more, How many apples does millie have in all.

Answers

Answer:

160 APPLES

Step-by-step explanation: I WISH U ALL THE BEST IN EVERY OF YOURS

PLS MARK AS BRAINLIEST.

Answer:

160 apples

Step-by-step explanation:

can anyone help me with math

Answers

Answer:

B

Step-by-step explanation:

Hope this helps plus happy new year!

will give brainliest-----------

Answers

Answer: C

Step-by-step explanation:

1.25 + (- 0.75) is equal to 1.25 - 0.75.

1.25 is positive while - 0.75 is negative. So 1.25 is head toward the right while - 0.75 is head toward the left.

And when you substract them, you will get 0.5.  

So the answer is C.

In ΔSTU, u = 220 cm, ∠T=145° and ∠U=18°. Find the length of s, to the nearest 10th of a centimeter

Answers

Answer:

208.1

Step-by-step explanation:

Delta math

PLEASE HELP !!
ILL GIVE BRAINLIEST
MATH PROBLEM!!
Find scale factor

Answers

Answer:

I think the scale factor is 2.5

Step-by-step explanation:

because 20 divided by 8 is 2.5

Plz help me and I’ll give u 5 stars

Answers

Answer:

He would drive 536 miles in 5 hours

Step-by-step explanation:

First set up your equation:

804 = 12x

Divide 804 by 12 and get 67 = x

Since per one hour you drive 67 miles, multiply 67 by 8 and get 536.

So, he drives 536 miles in 5 hours

Answer: I think 402

Step-by-step explanation: I divided 804 to 4 and I got 201 then I added 201+201= 402 and each 4 hours he went 201 miles so if you add 201 and 201 you get 402 miles. Hope it helped!! :)

(a) Complete the table of values for the graph x + y = 6

Please help ❤️ complete the table leave the graph bit as I know how to do it

Answers

Answer:

(0,6)

(1,5)

(2,4)

(3,3)

(4,2)

Step-by-step explanation:

To solve this table first convert the equation to slope-intercept form (y=mx+b), to do this solve for y in the equation. The slope-intercept form is y=-x+6, where -1 is the slope and 6 is the y-intercept. Then from that, you can get your first point, because you know the y-intercept is 6, therefore when x equals 0 y must be 6. Next, because the slope is -1 that means the y-value decreases by 1 every time the x-value increases by 1. So to find the rest of the y-values simply subtract 1 from the previous y-value.

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