How many gallons of a 60% antifreeze solution must be mixed with 80 gallons of 10% antifreeze to get a mixture that is 50% antifreeze? Use the
six-step method.
You need gallons.

Answers

Answer 1
I am not sure what the six-step method looks looks like but if you use x gallons of 60% solution
the amount of antifreeze in the mixture = 0.6x + 8 gallons
This needs to be 50% of the total quantity in the mixture, x + 80
0.6x + 8 = 0.5(x + 80)
0.6x + 8 = 0.5x + 40
0.6 - 0.5 = 40 - 8
0.1x = 32
x = 32 x 10 = 320 gallons

Related Questions

1) Convert the following to decimals:
a) 25% b) 60% c) 72.1%
d) 7%
e) 9.5%
f).66%

Answers

25% = 25% : 100% = 0,25 ← the end

60% = 60% : 100% = 0,6 ← the end

72,1% = 72,1% : 100% = 0,721 ← the end

7% = 7% : 100% = 0,07 ← the end

9,5% = 9,5% : 100% = 0,095 ← the end

66% = 66% : 100% = 0,66

5 out of 9 members of the Roxton Riding Club use western saddles. The rest of the members either ride English or Australian saddles. If there are 90 people on The RRC, how many use western saddles?



A- 10
B- 18
C- 40
D- 50

Answers

Answer:

10??? I Think...

No links I need the full answer of the area to this trapezoid

Answers

I got 96, but I also got 28, I think it’s 96, the formula is A=(b,b2)h so A=1/2(8,6)4

Need help rn 30 points

Answers

Answer: X = ([tex]-\frac{5}{4}\\[/tex], 6)

Step-by-step explanation:

x(4x - 19) = 30

4x^2 - 19x = 30

4x^2 - 19x - 30 = 0

ax^2 + bx + c = 0

[tex]X{1}=[/tex]  [tex]\frac{-b+\sqrt{b^{2} -4ac}}{2a}\\[/tex]= [tex]\frac{19+\sqrt{(-19)^{2} -4(4)(-30)}}{2(4)}\\[/tex] = 6

[tex]X{2}=[/tex] [tex]\frac{-b-\sqrt{b^{2} -4ac}}{2a}\\[/tex]=[tex]\frac{19-\sqrt{(-19)^{2} -4(4)(-30)}}{2(4)}\\[/tex]= [tex]-\frac{5}{4}[/tex] = -1.25

X = ([tex]-\frac{5}{4}\\[/tex], 6)

Amy ate 5/8 of a pizza. If the pizza had 16 slices, how many slices of pizza did she eat?​

Answers

Answer:

[tex] \frac{5}{8}16 \\ 10[/tex]

Step-by-step explanation:

she ate 10 slices

please mark me brainliest

What is the least common multiple of 9 and 12? Enter your answer in the box.

Answers

Answer:

36

Step-by-step explanation:

Can somebody tell me the domain and show me or tell me the work plz.

Answers

Answer:

Set the denom to 0 and solve.

x^2 - 16 = 0 --> x = -4,4

This means the vertical asymptote is 4, -4.

Therefor, the domain is for all real numbers that are not 4, -4.

We ignore the top because if the numerator was 0, it's still a number. But if the denom was 0, then it would be impossible (you can't divide by 0). So for all numbers that can go into the denom that aren't 0, is your domain.

Blank as 9 hundreds is 9 thousands

Answers

What? Do you have a picture that reveals what you need help in?

You take a package to your local shipping company. They charge a fixed base cost of 6 per package plus an additional 0.39 per pound If p represents the number of pounds and c is the total cost of shipping your package write the linear equation that represents the relationship between pans c

Answers

Answer:

c = 6 + 0.39p    or    c = 0.39p + 6

Step-by-step explanation:

p = #pounds

c = total cost to ship

cost c = $6 + $0.39p  ($6 flat fee + $0.39 per pound)

Answer:

C=0.39P+6

Step-by-step explanation:

0.39 is per pound, 6 is the fixed charge

8. Evaluate 5-3 with no negative exponents.
A. 125 B. -125
c. 1 D.
D. - 1

Answers

Answer:

5 - 3 = 2?

Explanation:

It's 2?

Haihai, can you help me please (•◡•) /

Answers

Answer:

its A!!! :) good luck with the rest of your assignment!

Evaluate the root without using a calculator, or note that the root isn't a real number.

Answers

9514 1404 393

Answer:

  A. 2

Step-by-step explanation:

When you don't know if a number like 256 is a power of anything, it can work reasonably well to start by simply dividing by the factors you know.

256/2 = 128128/2 = 6464/2 = 3232/2 = 1616 = 2^4, so 256 = 2^4 · 2 · 2 · 2 · 2 = 2^8

The 8th root of 2^8 is 2, choice A.

Please help will give brainly points

Answers

Answer:

-11

Step-by-step explanation:

if you put the numbers of the variebles in, it would be

-6-9+9-5

Answer:

9

-6a = 54

9x = -45

54 + (-45) = 9

Can someone please help me? I just need these question for finish my test.

Answers

Answer:

A. y = |x - 5| - 4

Step-by-step explanation:

The shape of the graph is a V with slope 1 on the right side and slope -1 on the left side. The parent function is y = |x|. The vertex of the V in the parent function is at (0, 0). Here, there has been a translation of the vertex to (5, -4).

The x-coordinate shifted 5 units right, or a shift of +5, and the y-coordinate shifted 4 units down, or a shift of -4.

y - k = |x - h| shows a shift of h units in x and k units in y when compared to the parent function y = |x|.

y - (-4) = |x - 5|

y + 4 = |x - 5|

y = |x - 5| - 4

Answer: A. y = |x - 5| - 4

Find the length indicated? Need HELP!!! Will give a lot of point. Show work!!

Answers

Answer:

JH = 15

Step-by-step explanation:

KJ = 10

KI = 14

IH = 11

JH = ?

In order to find JH, we need to find JI, then add it to IH, which is 11. Here's the equation:

JH = JI + 11

In order to find JI, we need to subtract KJ from KI. Here's the equation:

14(KI) - 10(KJ) = JI

14 - 10 = 4

JI = 4

Now we plug in the numbers from our first equation:

JH = JI + 11

JH = 4 + 11

JH = 15

Answer:

JH= 15

Step-by-step explanation:

Let KJ= 10, KI= 14, and IH= 11KI - KJ = J14 - 10 = 4J + IH = JH4 + 11 = 15

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

10. The perimeter of square A is 3 times the perimeter of square B. What is the rat of the area of square A to the area of square B.​

Answers

Answer:

9 times

Step-by-step explanation:

Area of A is  3² or 9 times the area of square B

What’s the answer please, and that’s a division sign in the middle of the parentheses. It’s supposed to be a synthetic division problem.

Answers

9514 1404 393

Answer:

  -6x^3 +5x^2 -x -2

Step-by-step explanation:

The synthetic division is shown in the attachment.

Jeremy ran 1500 meters in 4 minutes, 45 seconds. How fast did he run in meters per second?

Answers

Answer:

5.26 meters per second

Given the directed line segment AB: Point A is the _____ with coordinates Point B is the point with coordinates ______.​

Answers

In the given line segment, the coordinates of Point A and Point B is (1, 3) and (4, 6).

What is a line segment?A line segment in geometry is a section of a straight line that is enclosed by two clearly defined endpoints and contains all of the points on the line that lies inside those endpoints. The Euclidean distance between two ends of a line segment determines its length. A square, for instance, is a two-dimensional geometry with four equal-length sides. In a square, all four interior angles are right angles, and the opposing sides are parallel to one another.

So, according to the given image:

Coordinates of point A: (1, 3)Coordinates of point B: (4, 6)

Then, Point B is the point with coordinates (4, 6), while Point A is the line (1, 3).

Therefore, in the given line segment, the coordinates of Point A and Point B is (1, 3) and (4, 6).

Know more about line segment here:

https://brainly.com/question/2437195

#SPJ1

The correct question is given below:
Given the directed line segment AB: Point A is the line with coordinates ______ and Point B is the point with coordinates ______.​

what is the slop of 2x+3y-9=0

Answers

Answer:

Step-by-step explanation:

We need to write this equation in y=mx+b where m is the slope.

3y= -2x +9

y= -2/3 +9

So now that it is in the form of y=mx+b, we can find the slope. -2/3 is the slope of the equation. Hope that helps!

helpppppppppppppppppppppppppppppppppp me!

Answers

the answer is 44 sorry I am running late but hope this helps

draw and label what in the picture​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The triangle will have the noted sides the same length. It is best if they are marked as having the same length. The names of the same-length segments tell you the a.pex is point Y.

H.O.T. Problems Higher Order Thinking
11. GCSS Use Math Tools Find examples of grocery item prices in a
newspaper, on television, or on the Internet. Compare unit prices of two
different brands of the same item. Explain which item is the better buy.

Answers

Answer: you would save 26 dollars per tire if you got the special deal instead of the normal price.

Step-by-step explanation: a pair = 2 (this is what i did i dont know what you learn by but the special deal is still cheaper.)

380/2=190

216-190=26

the height of tower A is 842 feet more than tower B. the two towers have a combined height of 1,920 feet. what are the heights of each tower

Answers

884 + rit= 138 tres plas 0

Solve this problem and show the steps please because I’m so confused

Answers

Answer:

= 77

Step-by-step explanation:

{3 × [tex]2^{2}[/tex] - 3} -2 × 11

Solve the brackets first

{ 3 × 4  - 3} -2 × 11

{12 - 3 }  -2 × 11

9  -2 × 11

9  -22

= -13

Answer:

-13

Step-by-step explanation:

Solve in the bracket first

(3*4 -3) -2 * 11

(12 - 3) -22

9 - 22

-13 is the final answer

Stanley analyzes the table of values for a polynomial function. He has determined through applying Descartes’ rule of sign that there is 1 negative real zero, and either 1 or 3 positive real zeros. He has also determined that the upper bound of the function is 3.
X , f(x)
-2, -105
-1, 0
0, 5
1, -2
2, 3
3, -20
4, -175

a. What is the degree of the polynomial function? How can you tell?

b. How many positive real zeros does the function have? How can you tell?



Answers

9514 1404 393

Answer:

  a) 4

  b) 3

Step-by-step explanation:

a. The total number of real and complex zeros is equal to the degree of the polynomial. That total is (1 negative real) + (3 positive real/complex) = 4 total zeros. The degree of the polynomial is 4.

The even degree is confirmed by the answer to part b, and by the end-behavior shown in the table, which has a tendency to -∞ for |x|→∞.

__

b. The intermediate value theorem tells you there will be zeros in the intervals (0, 1), (1, 2), and (2, 3) according to the values in the table. (The function changes sign in those intervals.) Thus there are 3 positive real zeros.

_____

Additional comment

Stanley cannot tell anything about Descartes' rule of signs by analyzing the table of function values. To use that rule, he must have terms of the polynomial. If he has those terms, he already knows the degree of the polynomial.

if 5(x-6)=8 then x=?

Answers

2(x - 3) - 4(x - 6) = 7x

2x - 6 - 4x + 24 = 7x

-2x + 18 = 7x

-2x - 7x = -18

-9x = -18

x = -18 ÷ (-9)

x = 2

5(x - 6) = 8

5x - 30 = 8

5x = 8 + 30

5x = 38

x = 38/5

If clocks read 300pm on the -5 time zone, what time do the clocks read in the -2 time zone

Answers

It will read 6:00pm on -2 time zone.

The animal rescue has 3 cats for
every 8 dogs. If there are 20 more
dogs than cats, how many dogs are
there?
dogs

Answers

Answer:

32

Step-by-step explanation:

8-3=5

20÷5=4 sets

Hence, no. of dogs=4×8

=32

Let cats be x

Dogs be x+20

ATQ

[tex]\\ \sf\longmapsto \dfrac{x}{x+20}=\dfrac{3}{8}[/tex]

[tex]\\ \sf\longmapsto 8x=3(x+20)[/tex]

[tex]\\ \sf\longmapsto 8x=3x+60[/tex]

[tex]\\ \sf\longmapsto 8x-3x=60[/tex]

[tex]\\ \sf\longmapsto 5x=60[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{60}{5}[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

[tex]\\ \sf\longmapsto x+20=12+20=32[/tex]

How many hours? Thank you for your time.

Answers

Answer:

3/4 hours I believe so??

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