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Setler [38]
3 years ago
9

Which rate has the same unit rate as 8 books in 12 weeks?

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
6 0

Answer: 3 books in 4.5 weeks

Step-by-step explanation:

Tpy6a [65]3 years ago
6 0

Answer:

3 books in 4.5 weeks

Step-by-step explanation:

You might be interested in
Simplify this expression (a^8a^6)^1/7/a^2
ArbitrLikvidat [17]

Answer: 1

Step-by-step explanation: Whenever you take the power of a power, the find the answer you can multiply the two exponents, for example:

(x^3)^4 = x^12

We will use that here.

a^8a^6 = a^14

((a^14)^1/7) = (a^2)/a^2

Our answer is 1

7 0
3 years ago
If anyone is good at math and likes to help someone that is not good with it I will give you brainliest
hammer [34]

Answer:

1st pic answer:

Slope= -3

Parallel slope= -3

Perpendicular slope = 1/3

2nd pic answers:

1 and 2 are parallel

1 and 3 are perpendicular

2 and 3 are perpendicular

Step-by-step explanation:

To find the slope in your first equation (6x+2y=1) you need to get y alone so that your equation will be in slope-intercept form (y=mx+b).

6x+2y=1     Start by subtracting the 6x over to the other side.

-6x      -6x

2y= -6x+1   Next divide by 2 to get y completely alone.

\frac{2y}{2} =\frac{-6x}{2}+\frac{1}{2}

y= -3x+1/2

So to answer the first part your slope is -3. Parallel slope would be the same as your regular slope. Perpendicular would be the opposite, so that means you have to flip it and change the sign.

-3 flipped is -1/3

if you change the sign it becomes positive giving you 1/3

Part 2

Your first step would be to get all the equations into the slope-intercept form (y=mx+b). The second one is already in the form so we only need to change 1 and 3.

3y=5x+2   To get y alone you need to divide everything by 3.

\frac{3y}{3}=\frac{5x}{3} +\frac{2}{3}

y=5/3x+2/3  Before we work on equation 3 we can go ahead and compare equations 1 and 2.

1: y=\frac{5x}{3} +\frac{2}{3}

2: y=\frac{5x}{3} +7   Since 1 and 2 have the same slope they would be parallel.

Now to change equation 3.

6x+10y=8    Start by subtracting the 6x over to the other side.

-6x       -6x

10y=-6x+8     Now divide everything by 10 to get y alone.

\frac{10y}{10}=\frac{-6x}{10} +\frac{8}{10}

y=-6x/10+8/10   Now we need to simplify the fractions using common factors. I'm going to use 2 for both equations, so you take -6 and 10 both divided by 2, which gives you -3 and 5(-3x/5). Now do the same with the other fraction. 8 and 10 divided by 2 gives us 4 and 5 (4/5)

3: y=\frac{-3x}{5}+\frac{4}{5}

2: y=\frac{5x}{3} +7

1: y=\frac{5x}{3} +\frac{2}{3}

Since three has an opposite slope of both 1 and 2 it would be perpendicular to both.

5 0
3 years ago
Sue washes 25 cars in 5 hours. Find the unit rate in cars per hour.
PilotLPTM [1.2K]

the answer is 5 car / hr.........................................

7 0
2 years ago
Read 2 more answers
A day of the week is randomly chosen. What is the probability of choosing monday or friday?
Karo-lina-s [1.5K]

Answer:

You have a 2/7ths chance of picking Monday or Friday.

Explanation

There are 7 days of the week so you have a 2 out of 7 chance of picking Monday or Friday

8 0
3 years ago
Read 2 more answers
Solve using elimination x-2y=12 and 5x+3y=-44 <br> (4,8)<br> (-4,8)<br> (4,-8)<br> (-4,-8)
Leya [2.2K]

Answer:

(-4, -8)

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>Algebra I</u>

  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

x - 2y = 12

5x + 3y = -44

<u>Step 2: Rewrite Systems</u>

x - 2y = 12

  1. [Multiplication Property of Equality] Multiply everything by -5:                  -5x + 10y = -60

<u>Step 3: Redefine Systems</u>

-5x + 10y = -60

5x + 3y = -44

<u>Step 4: Solve for </u><em><u>y</u></em>

<em>Elimination</em>

  1. Combine 2 equations:                                                                                   13y = -104
  2. [Division Property of Equality] Divide 13 on both sides:                              y = -8

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Define original equation:                                                                               x - 2y = 12
  2. Substitute in <em>y</em>:                                                                                                x - 2(-8) = 12
  3. Multiply:                                                                                                           x + 16 = 12
  4. [Subtraction Property of Equality] Subtract 16 on both sides:                      x = -4
6 0
2 years ago
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