How many liters of a 50% acid solution must be mixed with a 30% acid solution to get 180 L of a 40% acid solution?
____ liters of a 50% acid solution must be used.

Answer:

2/11

Step-by-step explanation:

These are division problems.

[tex] \frac{1}{2} \div 2 \frac{3}{4} [/tex]

convert 2 3/4 to an improper fraction. 4 x 2 + 3

[tex] \frac{1}{2} \div \frac{11}{4} [/tex]

keep change flip

[tex] \frac{1}{2} \times \frac{4}{11} [/tex]

cancel the 2 and 4. the 2 becomes a 1 and the 4 becomes a 2

[tex] \frac{1}{1} \times \frac{2}{11} [/tex]

multiply

[tex] \frac{2}{11} [/tex]

A rational number a/b is said to be in the lowest form or simplest form if a and b have no common factor other than 1. In other words, a rational number ab is said to be in the simplest form, if the HCF of a and b is 1, i.e., a and b are relatively prime.

Answer:

7 / 6

Step-by-step explanation:

( 2x + 6 ) / 5 = 4x - 3

2x + 6 = 5 ( 4x - 3 )

2x + 6 = 20x - 15

20x - 15 = 2x + 6

20x - 2x = 6 + 15

18x = 21

x = 21 / 18

21 = 7 * 3

18 = 6 * 3

x = 21 / 18

  = ( 7 * 3 ) / ( 6 * 3 )

x = 7 / 6

Hence proved.

Answer:

v = 14

Step-by-step explanation:

Add 11 to both sides of the equation

2v-11+11 = 17+11

Simplify. (à la, add the numbers)

2v = 28

Divide both sides of the equation by 2

v = 14

Answer:

very easy just follow instruction

Answer:

(2xy)²

Step-by-step explanation:

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Answer:

A. 5y = 45.00; y = 9.00

Step-by-step explanation:

Step 1:

There are 5 friends in total and since we don't know how much money each of them contributed to the total amount ($45.00), we will substitute it with the variable y.

So, the amount of money the friends contributed is 5y.

The total amount of all the friends' money put together is given; $45.00.

So 5y = 45.00

______________

Step 2:

Divide 45.00 by 5 to find out how much each of the five friends contributed individually;

45.00 ÷ 5 = 9.00

So the amount of money the each friend contributes individually/ have to spend to buy a present for her individually is $9.00.

y = 9.00

______________

Model it:

5y = 45.00; y = 9.00

______________

Hope this helps! :)

Answer:

x=180-a/2+a/2

m AEP =90

Answer:

88% I am pretty sure

Answer:

15 percent increase

Step-by-step explanation:

just is

Answer:

C: mean 6.5 median 6

Step-by-step explanation:

median you find middle number in sorted numbers lined up. mean is all numbers added up and divided by how many there are

For height of garden we can use Phytagoreaan Theorem :

h² = 25² - 7²

h² = 625 - 49

h² = 576

h = 16 m

Area

= 1/2 × base × height

= 1/2 × 14 m × 16 m

= 7 m × 16 m

= 112 m²

Answer:

Change ≈ 284.6154%

Step-by-step explanation:

To calculate the percent change of two numbers such as 450 to 117, you use the Percent Change Formula, where a is the start value and b is the end value.

(b-a)/a x 100

When we insert a = 450 and b = 117 in the formula above, then we get the following that we can simplify and solve to get the percent change from 450 to 117.

(117-45)/450 x 100

-333/450 x 100

Change = -74%

Now you know that the percentage change from 450 to 117 is -74%. Since it is a negative answer, it means that if you subtract 74% from 450, then you will get 117.

Answer:

55

Step-by-step explanation:

m< PTS = m< RTQ since they are vertical angles

11(y-10) = 4y-5

Distribute

11y - 110 = 4y-5

Subtract 4y from each side

11y-110-4y = 4y-5-4y

7y-110 = -5

Add 110 to each side

7y-110+110 = -5+110

7t = 105

Divide by 7

7y/7 = 105/7

y =15

We want to find m<PTS

m< PTS = 11( y-10) = 11(15-10) = 11(5) = 55

There are 5040 different 9-letter “words” that can be made by arranging the letters in DEVIATION.

The given word is DEVIATION and we are required to find out the number of different 9-letter “words” that can be formed by arranging its letters.

To solve the problem, we will use the formula for finding permutations of n objects taken r at a time when all the objects are distinct.

The formula is given by: nPr = n! / (n-r)! where n is the total number of objects and r is the number of objects to be selected.

Here, we have 9 objects (letters) and we need to arrange all of them, so r = 9.

Now, we need to find out the value of n.

The given word DEVIATION has 9 letters, but two of them (E and I) are repeated twice.

Therefore, n = 9 - 2 = 7.

We will substitute these values in the formula to get the required answer:

nPr = n! / (n-r)! = 7! / (7-9)! = 7! / (-2)! = 7! / 1 = 5040

Therefore, there are 5040 different 9-letter “words” that can be made by arranging the letters in DEVIATION.

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1.2 kg of broccoli costs $7.08.

950 g of celery costs $2.47.

In order to determine the cost of 1.2 kg of broccoli, the first step is to determine the cost of 1kg of broccoli

1 kg = 1000 g

100g = 0.1 kg

Cost of one kg of broccoli = $0.59 / 0.1 = $5.90

The second step is to determine the cost of 1.2kg of broccoli.

$5.9 x 1.2 = $7.08

In order to determine the cost of 950g of celery, the cost of 1g of celery.

$0.26 / 100 = $0.0026

The second step is to determine the cost of 950g of celery.

950 x 0.0026 = $2.47

A similar question was answered here: https://brainly.com/question/8138090?referrer=searchResults

Answer:

market price

Step-by-step explanation:

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Answer:

549.78"

Step-by-step explanation:

diameter÷2=radius=2.5"

2pi2.5=15.71

15.71×35=549.78

Answer:

2¾

Step-by-step explanation:

(1/5 + 1/2)² + 3/10 × 5

= (7/10)² + 3/10 × 5

= 7/10 × 7/10 + 3/10 × 5/1

= 49/100 + 15/10

= 49/20 + 3/10

= 49 + 6 = 55/20

= 2 15/20 = 2¾

Answer

-3⁻³/6⁻²

= (-1*3)⁻³/(2*3)⁻²

= -1⁻³·3⁻³/2⁻²·3⁻²

= -1.3⁻³⁺²/2⁻²

= -1.3⁻¹/2⁻²

= -4/3

Step-by-step explanation:

The number of small boxes that will fill the truck will be 144 boxes

The formula for calculating rectangular box is expressed as:

V = LWH

L is the length

W is the width

H is the height

For the large box

Volume = 12 * 18 * 16

Volume = 3,456 cubic inches

For the small box:

Volume of the small box = 3 * 2 * 4

Volume of the small box = 24 cubic inches

Number of small boxes that will fill the truck = 3456/24

Number of small boxes that will fill the truck = 144

Hence the number of small boxes that will fill the truck will be 144 boxes

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Answer:

C.264,508,625,645

Step-by-step explanation:

the arrangement is from the least number to the greatest

Answer:

9x-y = 5

Step-by-step explanation:

Equation of line in slope intercept form:

y-y1 = m*(x-x1), m=9, (x1,y1)=(4,31)

y-31 = 9*(x-4)

y-31 = 9x-36

9x-y = 36-31

9x-y = 5

Answer:

Graph under 10, only a bit, (0,9) because y = 9

Step-by-step explanation:

Answer:

8.8420

Step-by-step explanation:

Answer:

series

Step-by-step explanation:

the answer of the question is series

Answer:

1.11 s , 10.88 m/s

Step-by-step explanation:

Initial velocity and air resistance = 0

Time to fall : s = 1/2 gt²

6 = 1/2 * 9.8 * t²

t² = 1.224

t = 1.11 s

final velocity = initial velocity + gt

                    = 0 + 9.8 * 1.11

                    = 10.88 m/s

Answer:

10, 20,30, 40, 50

Step-by-step explanation:

You times them all by 10 for example: 1x10=10 2x10=20 3x10= 30 4x10=40 and 5x10=50.

If we buy four packs of hot dogs and five packs of buns then we don't have any left over.

The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.

For example: Take two integers, 2 and 3.

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20….

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 ….

Therefore, 6 is the least common multiple of 2 and 3.

Given:

Packs          1       2     3      4       5

Hot Dogs   10     20   30   40    50

Bun             8      16     24   32    40

Also, LCM(10, 8)

10= 2 x 5

8= 2 x 2 x 2

So, LCM(10, 8)= 2 x 2 x 2 x 5 = 40

Hence, If we buy four packs of hot dogs and five packs of buns then we don't have any left over.

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