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tangare [24]
3 years ago
15

The natural market sells a 12-ounce jar of peanut butter for $3.96. They also sell bulk peanut butter for $5.50 per pound. The _

___ has a cheaper unit rate.
Mathematics
1 answer:
patriot [66]3 years ago
6 0

Answer:

The Jar of peanut butter

Step-by-step explanation:

The easiest way to do this is to calculate price per ounce of each unit.

We'll assign the 12 ounce jar to the variable s and the bulk to the variable b.

First create an equation to find the values of each product per ounce.

Since the 12 ounce jar(s) sells for 3.96 we can say it is 3.96 for every 12 ounces, or s = 3.96/12oz.

Simplify this equation and you get s = 0.33 per ounce.

For b we need to convert pounds to ounces.

There are 16 ounces per pound so the equation we get is:

b = 5.50/16oz

Simplified we get:

b =  about 0.34/oz

The smaller jar has a rate of $0.33/oz

The bulk has a rate of $0.34/oz

This means the answer is b. The jar of peanut butter has a cheaper unit rate.

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The number of bikes sold each year, in thousands, in a city since 2004 is shown by the graph below, where x represents the numbe
fgiga [73]

Answer: Your answer will be A

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Step-by-step explanation:


4 0
3 years ago
3. Which relation is a function?
Pani-rosa [81]

Answer:

B

Step-by-step explanation:

Recall that functions are defined only if for each value in the domain produces one and only one value in the range.

If we view the relations in the questions as x-y coordinates, this means that for every x-value, you can only have one y-value

Lets evaluate the options:

A) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)

C) we can see that for x = 3, this gives 2 possible values for y i.e (3,-8) and (3,8) (hence this is not a function)

D) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)

the only choice where this doesn't occur is choice B

6 0
3 years ago
Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applie
timama [110]

Answer:

  • (16, 7)

Step-by-step explanation:

Given rectangle JKLM

As per graph, the rectangle J'K'L'M' is the transformation of JKLM

Based on one of the points we can calculate the transformation rule:

<u>Let's use points K and K'</u>

  • K((-4, -8) → K'(6, -5)
  • 6 - (-4) = 10
  • -5 - (-8) = 3

<u>So the rule is </u>

  • (x', y') → (x + 10, y +3)

<u>Trapezoid STUV:</u>

  • Using point T(6, 4)

<u>Applying same rule:</u>

  • T' = (6 + 10, 4 +3) = (16, 7)
6 0
3 years ago
Slove the following system of equations <br> 7x+2y=-25<br> -5x-4y=5
Bingel [31]

Answer:

x=-5

y=5

Step-by-step explanation:

Explanation is in picture (Where the lines cross is your answer)

Tip: Try using desmo calculator. Where the lines cross is your answer so all you need to do is type in your equations

6 0
3 years ago
x^2-8x+15=0 solve the equation by completing the square. Round your solutions to the nearest hundredth, if necessary.
zaharov [31]

Answer:

x = 3, 5

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
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients/Degrees
  • Standard Form: ax² + bx + c = 0
  • Multiple Roots
  • Factoring
  • Completing the Square: -b/(2a)

Step-by-step explanation:

<u>Step 1: Define</u>

x² - 8x + 15 = 0

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

  1. [Subtraction Property of Equality] Subtract 15 on both sides:                     x² - 8x = -15
  2. Complete the Square [Addition Property of Equality]:                                 x² - 8x + 16 = -15 + 16
  3. [Complete the Square] Simplify:                                                                   (x - 4)² = 1
  4. [Equality Property] Square root both sides:                                                  x - 4 = ±1
  5. [Addition Property of Equality] Add 4 on both sides:                                   x = 4 ± 1
  6. Evaluate:                                                                                                          x = 3, 5
7 0
3 years ago
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