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Sophie [7]
3 years ago
13

Last week, Maria bought k pounds of cherries at the regular price of $2.75 per pound. This week, cherries were on sale for 20 pe

rcent off, and maria bought twice as many pounds as she bought last week, which of the following is the total in dollar, Maria paid for the cherries last week and this week
Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0

Answer:

$7.15k

Step-by-step explanation:

So the first week, she used $2.75k

Then, you can calculate the amount for one pound the next week by doing 0.8 * 2.75 = 2.2

So the second week she used 2 * 2.2 * k = $4.4k

$4.4k + $2.75k = $7.15k

Might be wrong so check it.

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4 years ago
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A group of people are having a dinner that costs $160, which is to be shared equally. If two more persons join the group and sha
SVEN [57.7K]

Answer:

8 people in the original group.

Step-by-step explanation:

Let x be the number of people who were originally present for the dinner that cost $160.  Their average cost per person would be:

$160/x

If 2 more people join, there are x+2 people.  Ignoring the awkward situation that they apparently did not order any additional food, they agree to share the cost of the dinner.  The average cost is now:

$160/(x+2)

We are told that this new average is now $4 less per person.

$160/(x+2) = ($160/x)  - $4

$160 = (($160/x)  - $4)(x+2)

x = 8 people

6 0
2 years ago
A block of ice has a square top and bottom and rectangular sides. At a certain point in
Lilit [14]

Answer:

\frac{dV}{dt} = 360 \ cm^3/h

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

<u>Geometry</u>

  • Volume of a Rectangular Prism: V = lwh

<u>Calculus</u>

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h<u />

<u />

<u>Step 2: Differentiate</u>

  1. Rewrite [VRP]:                                                                                                 V = l^2h
  2. Differentiate [Basic Power Rule]:                                                                         \frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}

<u>Step 3: Solve for Rate</u>

  1. Substitute:                                                                                                           \frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)
  2. Multiply:                                                                                                               \frac{dV}{dt} = 360 \ cm^3/h

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

3 0
3 years ago
80% of Vanessa's final grade is based on the average score of her quizzes, which is 73.
Misha Larkins [42]
80% of quizzes + 20% of final = final grade

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0.8 * 73 + 0.2x = 70

58.4 + 0.2x = 70

0.2x = 11.6

x = 58
8 0
4 years ago
What is the equation for solving the volume of a cube?
Elodia [21]
Length times width times height.
7 0
3 years ago
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