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noname [10]
3 years ago
14

Quick problem to check!

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

To find the rate of change, also known as the slope, we can use the slope formula with these two given points.

Point 1: (20, 25)

Point 2: (50, 40)

(40 - 25) / (50 - 20)

15 / 30

0.5

The rate of change of this function is $0.50 / lb.

Hope this helps!! :)

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Sarah needs 30 liters of a 25% acid solution how many liters of the 10% and the 30% acid solutions should she mix to get what sh
sweet-ann [11.9K]

Answer:

7.5 L of 10% solution and 22.5 L of 30% solution

Step-by-step explanation:

Volume of 10% solution plus volume of 30% solution = total volume of 25% volume.

x + y = 30

Acid in 10% solution plus acid in 30% solution = total acid in 25% solution.

0.10 x + 0.30 y = 30 × 0.25

0.10 x + 0.30 y = 7.5

Solve the system of equations, using either substitution or elimination.  I'll use substitution:

x = 30 − y

0.10 (30 − y) + 0.30 y = 7.5

3 − 0.10 y + 0.30 y = 7.5

0.20 y = 4.5

y = 22.5

x = 30 − y

x = 7.5

Sarah needs 7.5 L of 10% solution and 22.5 L of 30% solution.

8 0
3 years ago
Read 2 more answers
a counselor at sleepy hollow camp has 225 yards of lanyard to give to 100 campers to make landyard key chains. Each camper will
salantis [7]
Each camper will get a lanyard 2.5 yards long
5 0
3 years ago
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6x-5y=15 x=y+3 find x and y
arlik [135]

Answer:

(0, -3)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

6x - 5y = 15

x = y + 3

<u>Step 2: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                                                                                                  6(y + 3) - 5y = 15
  2. Distribute 6:                                                                                                    6y + 18 - 5y = 15
  3. Combine like terms:                                                                                        y + 18 = 15
  4. [Subtraction Property of Equality] Subtract 18 on both sides:                     y = -3

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define original equation:                                                                               x = y + 3
  2. Substitute in <em>y</em>:                                                                                                   x = -3 + 3
  3. Add:                                                                                                                   x = 0
7 0
3 years ago
3( x -5)- 5x= 25+ 6x What is the answer and how do you solve this??
stiks02 [169]
1.) expand

3x - 15 - 5x = 25 + 6x

2.) simplify

-2x - 15 = 25 + 6x

3.) add 2x to both sides

-15 = 25 + 6x + 2x

4.) simplify

-15 = 25 + 8x

5.) subtract 25 from both sides

-15 - 25 = 8x

6.) simplify -15 - 25 to -40

-40 = 8x

7.) divide both sides by 8

-40/8 = x

8.) x = -5


7 0
3 years ago
1. What is 26% written as a decimal?
sattari [20]

Answer:

.26 = 26%     hope this helps!   :)

Step-by-step explanation:

.26

100 = 1.00

26 = .26

you just move the decimal point over 2

5 0
3 years ago
Read 2 more answers
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