Manny's cleaning supply store receives a mixture of 80% detergent and 20% water in 15-gallon buckets. Manny would like a mixture of 60% detergent and 40% water in 5-gallon buckets. To make this, he combines some 80/20 mixture with some pure water in each 5-gallon bucket. How many gallons of pure water does Manny add to each 5-gallon bucket? Express your answer as a decimal to the nearest hundredth.

Answers

Answer 1

Answer:

1.25 gallons of pure water

Step-by-step explanation:

Manny's cleaning supply store receives a mixture of 80% detergent and 20% water in 15-gallon buckets.

0.80 d + 0.20w = 15 gallon

Manny would like a mixture of 60% detergent and 40% water in 5-gallon buckets.

0.60d + 0.40w = 5 gallon

0.80 d + 0.20w = 15 ....... Equation 1

0.60d + 0.40w = 5 ......….. Equation 2

Using elimination method

Multiply Equation 1 with 0.60

Multiply Equation 2 with 0.80

We eliminate d

0.80 d + 0.20w = 15 × 0.6

0.60d + 0.40w = 5 × 0.8

=

0.48d + 1.2w = 9....... Equation 4

0.48d + 3.2w = 4..... Equation 5

Subtract Equation 5 from 4

= - 2.0w = -5

w = -5/-2

w = 2.5 gallons.

Hence: 2.5 gallons/2

= 1.25 gallons.

Therefore, Manny adds 1.25 gallons of pure water.


Related Questions

What is the value of 3x+34

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]3x+34=35[/tex]

Subtract 34 from 35 to isolate the variable

[tex]3x=1[/tex]

Divide 1 by 3

[tex]1/3= \frac{1}{3}[/tex]

What does the statement H(30)=H(25)+5H(30)=H(25)+5H, left parenthesis, 30, right parenthesis, equals, H, left parenthesis, 25, right parenthesis, plus, 5 mean? Choose 1 answer:

Answers

Answer:

When Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old.

Step-by-step explanation:

Because it's the answer

PLS HELP! I WILL GIVE THE FIRST GOOD ANSWER BRAINLIEST!

A whopper bought shoes marked $40. The sales tax is 8%. How much did the shopper pay in tax? How much did the shopper pay in all?

can I have full explanation because I don't GET IT AT ALL

Answers

Answer:

About $3.20 in tax, $43.20 total

Step-by-step explanation:

First you want to put the percentage into a decimal, 0.08. Then you would multiply the $40 by 0.08 (tax) to get the amount of tax ($3.20). Then to find the total amount, you could either add $3.20 and $40 together or you could multiply $40 by 1.08 (this accounts for both the item and the tax) to get $43.20.

Answer:

never mind

Step-by-step explanation:

please help. it’s just homework but i need to pass

Answers

BCD = ECF = 22
DCE = BCF = 180 - 22 = 158

HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE
SHOW WORK PLEASE

What is the measure of

Answers

Answer:

Angle TWX equals 44.

How To Do It:

You set the expressions equal to each other & solve for x. Then you plug x into each expression & add them.

Set Expressions Equal To Each Other To Find The Value Of X:

(6x-26)=(2x+6)----------add 26 to each side

6x=2x+32----------subtract 2x from both sides

4x=32----------divide both sides by 4

x=8

Plug-In The Value Of X To Each Expression & Add:

(6(8)-26)+(2(8)+6)----------distribute the 8 to each coefficient

(48-26)+(16+6)----------add/subtract numbers inside the parentheses

(22)+(22)----------add the final products together

44----------*Final Answer*

The answer is 44

Hope it’s helped a bit

Plane A traveled 720 in 3 hours. Plane B traveled 1300 in 5 hours. Which plane traveled faster per hour? pls answer this and tell me PER HOUR

Answers

Answer:

a

Step-by-step explanation:

Answer:

a and 240 hr

Step-by-step explanation:

n

4/7 times 5/16 simplest form

Answers

Answer:

the answer in simplest form is 5/28

Answer:

5/28

Step-by-step explanation:

I just used a calculator but the denominator have to be the same. Then once the denominators are, make sure that how many times you multiplied to get the denominator you do to the top.

5 6 What is the equation of the line that is parallel to the line y = -1/3x + 4 and passes through the point (6, 5)?​

Answers

Answer:

I think its y=-3x+15 not 100%

A convenience store sell pre-paid mobile phones. It purchases them for $12 each and uses a mark up rate of 250%. What is the mark-up amount for the phones? What is the retail price of the phones after the mark up?

Answers

Answer:

The convenience store has a markup amount of $30 on the pre-paid mobile phones and the retail price is $42

Step-by-step explanation:

The purchase price of the pre-paid mobile phones is $12.

The convenience store uses a markup rate of 250%.

The markup amount is:

250 * 12 / 100 = 30

The retail price is the purchase price plus the markup amount:

Retail price = $12 + $30 = $42

The convenience store has a markup amount of $30 on the pre-paid mobile phones and the retail price is $42

20 divided (-5) =

A -2

B -4

C-3

Answers

Answer:

The answer is B -4

Step-by-step explanation:

You can divide 20 by 5, resulting in 4.

Then, just add the negative number to the answer, leaving you with -4.

What is 325% written as a mixed number in simplest form? (Hint: Make decimal first.)
1. 3 1/4
2. 30 3/4
3. 32 1/2
4. 300 1/4

Answers

Answer:

3 1/4

Step-by-step explanation:

2^3 + 4 ⋅ 8

25 POINTS! HELP ME PLEASE!!!!!!!!

Answers

Answer:

40

Step-by-step explanation:

2^3 + 4 * 8

= 8 + 4 * 8

= 8 + 32

= 40

Yasmine finds the absolute value of –655. Which expression represents this value? 0 + (negative 655) 0 minus (negative 655) (negative 655) + 655 (negative 655) minus 655

Answers

Answer:

0 minus (negative 655)

Step-by-step explanation:

Absolute of a number is the positive value of such number. for example, the absolute value of -7 is 7.

If Yasmine finds the absolute value of -655, then her equivalent value must return a positive answer.

The expression that gives a positive values of -655 is:

1) 0-(-655) = +655

Note that the product of two negative sign will result in a positive sign

Answer:

0 minus (negative 655)

Step-by-step explanation:

The distance a truck travels various directly by the number of hours driven at a constant rate. A truck travels 195 miles in 3 hours. If the truck continues to travel at the same rate how many hours will it take the truck to travel 325 miles?

Answers

If a truck travels 195miles in 3 hours, a truck would travel 195/3 miles, 65miles, per hour. So if truck travels 325 miles, the time it takes would be 325/65 which is 5.

The answer is 5 hours. Let me know if I got wrong.

4. Rusty's hair grows at the rate of 2/4 inch per month. a. How many months will it take Rusty's hair to grow 7/8 inch? b. Explain your answer using words, and show your work using division of fractions.

Answers

Answer:

x = 1 month 3 days

Step-by-step explanation:

Given that,

Per month growth of Rusty's hair = 2/4

We need to find in how many months will it take Rusty's hair to grow 7/8 inch.

1 month = 2/4

In x months = 7/8 inches

Let it grow 7/8 inch in x months.

[tex]\dfrac{\dfrac{2}{4}}{\dfrac{7}{8}}=\dfrac{1}x\\\\\dfrac{1}{x}=\dfrac{2}{4}\times \dfrac{8}{7}\\\\x=\dfrac{7}{4}\ \text{months}\\\\x=1\ \text{month}\ 3\ \text{days}[/tex]

So, it will take 1 month 3 days to grow 7/8 inches.

Answer:

x = 1 month 3 days

Step-by-step explanation:

Given that,

Per month growth of Rusty's hair = 2/4

We need to find in how many months will it take Rusty's hair to grow 7/8 inch.

1 month = 2/4

In x months = 7/8 inches

Let it grow 7/8 inch in x months.

So, it will take 1 month 3 days to grow 7/8 inches.

8. What two integers does 55 fall between?
A. 5 and 6
B. 6 and 7
C. 7 and 8
D. 54 and 56

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation: Hope this helps

What is HJ + JM?
G H I J K L M N O
+
-4 -3 -2 -1 0 1
w+z
0++
HJ + JM =

Answers

Answer:

0

Step-by-step explanation:

Coordinate of H = -3

Coordinate of N = 3

[tex] \overline{HN} [/tex] = |-3 - 3| = |-6| = 6

Midpoint of [tex] \overline{HN} [/tex] is ½ the distance of [tex] \overline{HN} [/tex] = 3.

Therefore, coordinate of the midpoint of [tex] \overline{HN} [/tex] is the coordinate of H + 3 = -3 + 3 = 0

Or

The coordinate of N - 3 = 3 - 3.

Therefore, the midpoint of [tex] \overline{HN} [/tex] is 0.

The equation ​c​ = 2.95​g​ represents the proportional relationship between the cost of gasoline and the amount purchased on a given day. In the equation, ​c​ represents the cost in dollars, and ​g​ represents how many gallons of gas were purchased. What is the constant of proportionality for this relationship?

Answers

Answer:

2.5

Step-by-step explanation:

Given the expression ​c​ = 2.95​g​

since c represents cost

g represents how many gallons of gas were purchase

the terms that relates the cost to the numbers of gallons purchased is

2.5 which is equally the constant of proportionality

Therefore the constant of proportionality  is 2.5

Whoever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up, i need u to live.
i wish i could take everyones problems so yall wouldn't have to have them but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️

Answers

Answer:

=) you are so sweet and this is very much appreciated

Step-by-step explanation:

thank you

I’m gonna ignore the fact that this is posted on a tutoring/cheating app but thank you I needed this

the smith family is on a 256 mile road trip. they plan to do the trip in 4 days.how far would they need to drive each day?

Answers

Answer: 64

Step-by-step explanation: Assuming this family makes no stops, all you would need to do is divide 4 into 256, which gives you 64.

Answer:

64

Step-by-step explanation:

Rational Exponents
Solve and show your work.
[tex](x+5)^{\frac{2}{3} } =4[/tex]

Answers

See attachment for answer:





Find the slope and y-intercept of y=4/3 x-3

Answers

Answer:

Slope: 4/3

Y-intercept: -3

Step-by-step explanation:

The formula is...

y = mx + b

Where m is slope and b is y-intercept so in this case, 4/3 is slope and -3 is the y-intercept.

Hope that helps and have a great day!

Answer: The slope is 43, the y- intercept of y=4/3 x-3 is 0,-3.

Step-by-step explanation:

PLEASE HURRY! Write the relation shown in the mapping diagram
as a set of ordered pairs.
1-
1 3
0
-2.
5
2. Which set of ordered pairs represents a function?
A. {(-1, 4), (2, 4), (8,4), (10,4)}
nts
B. {(0, -2), (3,7), (0, 2), (18, 2)}
C. {(-1,3), (1, -1),(-1, -12), (-1,0)}
D. {(1, 2), (2, 3), (3, 4), (3,5)}

Answers

So for the first one I got (-5,2), (1,0) (3,0)
For the second one it’s A I believe because the inputs or the x values are different numbers but the others have repeated inputs

Lerna's Hydra is a mythological character that appears in some stories such as the 12 Tasks of Hercules. The Hydra was a one-headed monster but when it is cut off, 2 more heads grow in its place. If a hero tried to conquer it by cutting off all of its heads every day, how many heads would the Hydra have on the third day? And at the end of 10 days of trying to kill it?

Answers

Answer:

a.  8 heads. b. 1024 heads.

Step-by-step explanation:

a. How many heads would the Hydra have on the third day?

Since the Hydra's head doubles for every initial head that is cut off on each day, the number of heads the hydra has after each day is 2ⁿ where n = number of days. Now, the head increase of the Hydra form a geometric sequence with the first term as 2 since we initially had one head and was cut off to produce 2 heads. On the second day, two heads are cut off to produce four which is 2² and so on.

So, on the third day, we have 2³ heads = 8 heads.

b. And at the end of 10 days of trying to kill it?

At the end of 10 days we have n = 10 in 2ⁿ. So, 2¹⁰ = 1024 heads.

So, at the end of 10 days, the Hydra has 1024 heads.

please help . What Is the solution to this linear system? Enter a value in each box to create an ordered pair

Answers

Answer:

The answer to this linear system is 7,-1

9÷2/3=?

im a little confused, the method my school gave me is really long and confusing ​

Answers

Answer:

hi

Step-by-step explanation:

Hope this help you ! The answer is step by step

David made 4/6 of a quart of fruit juice. Daniel made ⅔ of a quart of juice. ​Each mug he has holds 1/3 of a quart. ​​ How many mugs will they be able to fill together?

Answers

Answer:

together, they will fill 4 mugs

Step-by-step explanation:

Given;

a mug holds 1/3 of a quart.

First determine how many mugs to be filled by 4/6 of a quart of fruit juice made by David;

[tex]= \frac{\frac{4}{6} }{\frac{1}{3} }\\\\ = \frac{4}{6}* \frac{3}{1}\\\\ = 2 \ mugs[/tex]

Lastly, determine how many mugs to be filled by  ⅔ of a quart of juice made by Daniel;

[tex]= \frac{\frac{2}{3} }{\frac{1}{3} }\\\\ = \frac{2}{3} *\frac{3}{1}\\\\ = 2 \ mugs[/tex]

Therefore, together, they will fill 4 mugs

16x - 5 = 18x - 2 solve for x

Answers

Answer:

x = -1.5

In fraction form:

[tex]x=-\frac{3}{2}[/tex]

Step-by-step explanation:

Equations

Find the value of x such that the equality is true.

16x - 5 = 18x - 2

Subtract 18x:

16x - 18x - 5 = -2

Simplify:

-2x -5 = -2

Add 5:

-2x = -2 + 5

Operate:

-2x = 3

Divide by -2:

x = 3 / (-2)

x = -1.5

In fraction form:

[tex]x=-\frac{3}{2}[/tex]

can someone help with this question

Answers

Answer:

Its hard to kinda see so im not so sure sorry

Step-by-step explanation:

y=-1/4x+7 y=4x-4
is this a perpendicular or parallel line?

Answers

Answer:

It's perpendicular

Step-by-step explanation:

All you need to do to solve these problems is look at the slope, so the x in each equation

If it's parallel the slope will be the exact same (ex. y = 2x + 4 and y = 2x - 8)

If the equation is perpendicular the slopes will be Opposite Reciprocal so they have opposite signs (pos./neg.) and will be the reciprocal of each other (ex. 5 = 1/5)

So a perpendicular line will look like this- y = -4x + 2 and y = 1/4x - 2

The y-intercept will never matter for this question. Hope I could help!

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