How many gallons of a 30% alcohol solution must be mixed with 60 gallons of a 14% solution to obtain a solution that is 20% alcohol?

Answers

Answer 1

Answer:  A=3.6

Step-by-step explanation: let A= # of gallons of 30% solution of alcohol

.3A+60(.14)=.2(60+A)

.3A+8.4=12+.2A----->subtract .2A and 8.4 from each side highlight%28A=36%29 gallons of 30% solution of alcohol


Related Questions

The students in a class were asked which hand they preferred to use
for writing. The bar graph shows the results. Find the total number of
students who had a preference.

Answers

Answer:25

Step-by-step explanation:

Bryson has soccer practice for 24 hours 2 times a week. How
much time does Bryson spend at soccer practice in 1 week?

Answers

Answer:

48 hours or 2 days

Step-by-step explanation:

brainly pls

Answer:

48 hours

Step-by-step explanation

he does 24 hours 2 times a week, so if you are looking for how much he does in 1 week then you would add 24 and 24 to get the answer!

PLEASE HELP ME!!!
Jack and Bilal share stickers in the ratio 2:3
If they have 60 stickers altogether, how many
stickers does Bilal have?
Which of these calculations would not be a step in
finding the answer?
12 * 3
605
603​

Answers

Answer:

A im pretty sure

Step-by-step explanation:

Write the missing decimal so that each pair adds to 1/2 + ...= 1

Answers

Answer:

0.5

Step-by-step explanation:

1/2 + 0.5 = 1

Find sides of a triangle with only the hyp and angles? I'm really confused

Answers

Answer:

x = 10√3

y = 10

Step-by-step explanation:

Step 1:

x = r·cos(30°)

y = r·sin(30°)

Step 2:

x = 20·√3/2 = 10√3

y = 20·1/2 = 10

However, there is a shortcut. Since there is a hypotenuse, there is a 90° angle. You are given a 30° angle, so the triangle is 30°-60°-90°.

The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.

The side opposite the 90° angle has length 20, so the side opposite the 30° angle has length 10, and the side opposite the 60° angle has length 10√3.

Question 1 options:

3


8


12


2.5

Answers

Answer:

2.5

Step-by-step explanation:

(I'm assuming you're doing this the same way I learned it, if not I'm sorry if it doesn't make sense)

[tex]\frac{2}{x}[/tex]=[tex]\frac{12}{15}[/tex]

Cross multiply

12x=30

Divide

x=2.5

This is just one way to do the problem. An easier way is to simplify the fractions.

[tex]\frac{2}{x}[/tex]=[tex]\frac{4}{5}[/tex]

You can either cross multiply or figure out that 2 is half of four and simply divide 5 by 2 which will also result in 2.5

Increase £19060 by 9%
Answer in 2DP

Answers

The answer would be 20,775,4

please I really need help​

Answers

I think A and E, but I’m not positive

express in simplest radical form

V24

Answers

Answer:

not understanding meaning of your question

Step-by-step explanation:

sooooooooooooorrrrrrrrrrrrrrrrrryy

what is 29( 86 + 34)

Answers

Hey there!

The answer to your question is 3480

There are two ways we can do this. I will show you both, so you know how to do it in the future:

The First Way ~ Parantheses First:

Step 1.) Add [tex]86[/tex] and [tex]34[/tex]

[tex]29(120)[/tex]

Step 2.) Multiply

[tex]3480[/tex]

The Second Way ~ Distribute First

Step 1.) Multiply [tex]29[/tex] and [tex]86[/tex]

[tex]29(34)+2494[/tex]

Step 2.) Multiply [tex]29[/tex] and [tex]34[/tex]

[tex]986+2494[/tex]

Step 3.) Add [tex]986[/tex] and [tex]2494[/tex]

[tex]3480[/tex]

Have a terrificly amazing day!

What is the 30% of 150

Answers

Answer:

555#*6

Step-by-step explanation:

eat 10 pickels go to her party then eat 10 real pickels how many pickles did i have tn

The polygons are similar. Find the value of x.
A
14
F 7 R
12
13
S
F
13
G
8
26
X =

Answers

Answer:

If the two polygons are similar, then their sides are proportianal.

We see that sides in the larger polygon are two times as long as the sides of the smaller polygon.

So, if the larger polygon has a side length of 13, then the smaller polygon would have a side length of 13/2, or 6.5

Let me know if this helps!

Tina is going on a 5 day trip. She has 1 blue shirt, 1 red shirt, 1 white shirt, 1 green shirt, and 1 grey shirt. What is the probability that Tina will wear blue on the first day of her trip and then wear grey on the second day of her trip?

Answers

Answer:

1/20

Step-by-step explanation:

1/5 chance she will wear the blue shirt on the first day and 1/4 chance she will wear a grey shirt on the second day.

1/5 X 1/4 = 1/20

Answer:

i got 1/20 as my answer

Find the value of b. Round your answer to the nearest tenth.

Answers

Answer:

You need to include a picture because there is no figure. I don't know the other numbers of the angles orsides.

Step-by-step explanation:

Ana and her friends are decorating the gym for a dance. They need 270 balloons. The balloons are only sold un packages. Tere are 50 balloons in each package.

Answers

Answer:

Step-by-step explanation:

270 div

$145 pair of UGGs, 25% discount, 6% sales tax final price
I NEED HELP ASAP!! (Grade 7)

Answers

The answer is 38.43! i hope its right

The TV you bought was $900 and the sales tax was 10%, what was the total cost of the TV.

Answers

$990

10% of 900 is 90. 900+90

A refrigerator costs $429 to buy and its label says that estimated energy costs are $43 per year. Another brand costs $399, but its energy costs are $48 per year. If x is the years of ownership and y is the total dollars spent, write the ordered pair (x,y) that shows at what point the owner would have spent the same amount of money on either brand.

Answers

Answer:

(6, 687)

Step-by-step explanation:

1) Jorge takes his friends out for smoothies. He buys 5 smoothies and leaves a $3 tip,
paying a total of $23. He wants to know the price of one smoothie.
• price of 5 smoothies: 23 – 3 = 20
1) Which equation shows how to find the price of one smoothie?
20 – 5 = 15
20 : 5 = 4
23 : 5 = 4.60
23 - 5 = 18

Answers

Answer:

15b-x=4

Step-by-step explanation:

i am a smart teacher

Plz help me!!
I have no clue how to do this because my teacher moves to fast for me. If you can help out that would be really appreciated!!

Answers

Answer:

1. x = 65

2. x = 40

3. x = -7

4. x = -4

5. x = -7

6. x = 4

Step-by-step explanation:

Angles in a triangle always add up to 180 degrees.

Thus, for each triangle you can write an equation setting the sum of the three angles equal to 180, and solving for x.

1. 180 = 80 + 35 + x

   180 - (80 + 35) = x

   180 - 115 = x

   65 = x

2. 180 = 70 + 70 + x

   180 - (70 + 70) = x

   180 - 140 = x

   40 = x

3.  180 = 76 + 41 + (x+ 70)

    180 - (76 + 41) = x + 70

    180 - 117 = x + 70

    63 = x + 70

    63 - 70 = x

    -7 = x    

4. (the red square means its a right angle = 90 degrees)

   180 = 90 + 25 + (x + 69)

   180 - (90 + 25) = x + 69

   180 - 115 = x + 69

   65 = x + 69

   65 - 69 = x

   x = -4

5. 180 = 50 + (57 +x) + (x + 87)

   180 - 50 = (57 +x) + (x + 87)

    130 = (57 +x) + (x + 87)

  combine like terms

  130 =  144 + 2x  

  130 - 144 = 2x

  -14 = 2x

   -7 = x

6. 180 = 80 + (9x + 4) + (16x - 4)

   180 - 80 = (9x + 4) + (16x - 4)

   100 = (9x + 4) + (16x - 4)

   combine like terms

    100 = 25x + 0

    100 = 25x

    4 = x

Plzzzzzz help meeee plz I am timed

Answers

Answer:

multiplication property of equality. Hope this help and maybe a brainlist?

Step-by-step explanation:

Answer:

multiplication property of equality

Step-by-step explanation:

d/10=12

Multiply both sides by the equation by 10

10× d/10=10×12

Reduce the numbers by the greatest common factor which is 10

d=10×12

Multiply 10 and 12

d=120

So using multiplication to solve this equation

Tony wants to use his savings at the end of March to buy video games. The games cost $35.75 each. How many games can Tony buy

Answers

Answer:

how much money is he saving????

Step-by-step explanation:

help please due soon

Answers

Answer:

y = 6x

Step-by-step explanation:

You can easily find the slope by using slope formula:

(y2-y1) / (x2-x1) (the numbers are subscript)

E.g: (24-12) / (4-2) = 12/2 = 6

m(slope) = 6

Hope this helped :)

(You can also check if it’s correct by inputting the coords into the equation, seeing if all solutions are aplicable).

what is the scale factor of triangle abc and triangle def​

Answers

Answer:

The answer is 6

Step-by-step explanation:

ABC is 72, 66, 42 and DEF is 12, 11, 7

simply divide the largest shape measurements by the smaller one.

72÷12

66÷11

42÷7

you get 6 in all of them, this technique may not work all the time.

1/10 (x + 11) = -2 (8 - x)

Answers

Answer: (5/8)x

Step-by-step explanation:

¹/₁₀(x+11) = -2(8-x)
multiply both side by 10

x + 11 = -20 (8-x)

x + 11 = -160 + 20x

11 + 160 = 20x-x

171 = 19x

x =9

lan often takes his dog to the park. He estimates that 30% of the other dogs
he sees are retrievers, 20% are terriers, and 20% are German shepherds. He
designs a simulation.
Let 0, 1, and 2 represent retrievers.
Let 3 and 4 represent terriers.
Let 5 and 6 represent German shepherds.
Let 7, 8, and 9 represent other dogs.
The table shows the simulation results.

Answers

Answer:

0.60 if it is shepherd!

Step-by-step explanation:

Find the 80th derivative of f(c)
ET
sin(2).
f(80)
Submit Question

Answers

Compute the first few derivatives to reveal a pattern:

f(x) = x sin(x)

f '(x) = x cos(x) + sin(x)

f ''(x) = (-x sin(x) + cos(x)) + cos(x) = -x sin(x) + 2 cos(x)

f '''(x) = (-x cos(x) - sin(x)) - 2 sin(x) = -x cos(x) - 3 sin(x)

f ''''(x) = (x sin(x) - cos(x)) - 3 cos(x)) = x sin(x) - 4 cos(x)

f ⁽⁵⁾(x) = (x cos(x) + sin(x)) + 4 sin(x) = x cos(x) + 5 sin(x)

f ⁽⁶⁾(x) = (-x sin(x) + cos(x)) + 5 cos(x) = -x sin(x) + 6 cos(x)

f ⁽⁷⁾(x) = (-x cos(x) - sin(x)) - 6 sin(x) = -x cos(x) - 7 sin(x)

f ⁽⁸⁾(x) = (x sin(x) - cos(x)) - 7 cos(x) = x sin(x) - 8 cos(x)

and so on.

The pattern should be clear: for some integer k,

• if n = 4k, then f(x) = x sin(x) - n cos(x)

• if n = 4k + 1, then f(x) = x cos(x) + n sin(x)

• if n = 4k + 2, then f(x) = -x sin(x) + n cos(x)

• if n = 4k + 3, then f(x) = -x cos(x) - n cos(x)

80 is a multiple of 4, so the 80th derivative falls in the first category. Then

f ⁽⁸⁰⁾(x) = x sin(x) - 80 cos(x)

216. Determine the volume of a 75-inch cube.
a. 22.5 cu in
b. 166 cu in
c. 216 cu in
d. 421.88 cu in

Answers

Answer:

c

Step-by-step explanation:

because you have to know how many 8nches is a cube

For this exponential function what is the output value (y) when the input value (c) is 3?

Answers

Answer:

y = 40

Step-by-step explanation:

Given, y = 5 * 2^x

If x = 3, y would be:

Substitute the value of x into the given function.

Thus,

y = 5*2³

y = 5*8

y = 40

Use the Distributive Property to expand the following expressions.

a.) 2 ( y + 5x) = _______________

b.) 0.4 ( x + 2) = ______________

Answers

Answer:

Step-by-step explanation:

Distributive property: a(b +c)=(a*b )+(a*c)

a) 2(y + 5x) = y*2  + 5x*2

                  = 2y + 10x

b) 0.4(x + 2) = x*0.4 + 2*0.4

                   = 0.4x + 0.8

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