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olga55 [171]
3 years ago
10

Boxes of granola are on sale at a price of 2 for $4.50. There are 12 ounces of granola on each box. What is the unit price in do

llars per pound? (16 ounces = 1 pound)
Mathematics
1 answer:
Yanka [14]3 years ago
3 0

Answer:

3 dollars per pound

Step-by-step explanation:

First, you find the cost of a box of granola 4.5/2 = 2.25. Since there are 12 ounces of granola in each box, you could divide 2.25 by 12 to get the cost of granola per ounce(0.1875) and multiply it by 16 to get the cost of a pound (3).

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What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47+ ...?​
Alex

Answer:

\huge\boxed{18,475}

Step-by-step explanation:

The terms of this sum make the arithmetic sequence.

The fomula of a sum of <em>n</em> terms of an arithmetic sequence:

S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}

We have

a_1=2\\d=17-2=32-12=47-32=15\\n=50

Substitute:

S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475

3 0
3 years ago
Dr. Goodrich wanted to demonstrate that his tires were better than those of his competitor, Dr. Goodyear. From car registration
dem82 [27]

Answer:

Dependent Variable : Tire tread wear ; Independent Variable : Tire Brand ; Confounding Variable : Person driving

Step-by-step explanation:

Dependent Variable is the variable being affected by independent variable(s). Independent Variable(s) are the causal variable, bring change in dependent variable.

Goodrich wants to demonstrate that his tires were better than those of his competitor (Goodyear). For that, he has got conducted an independent research on tires worn quality - brand wise & various factors affecting wear

  • Dependent Variable is the 'Tire tread wear '.
  • Independent Variables determining it is primarily brand : Goodrich / Goodyear ; secondarily - price, mileage, time etc

Confounding variable is an extraneous influence variable; that changes the relationship between independent & dependent variable, outcome of experimental research.

In this case : Individuals driving the vehicles could be a confounding variable. A  particular person could wear out tire more than another person.  

6 0
3 years ago
Abbeys cat weighs 18 pounds. Her dog weighs 2 pounds more than half her cats weight. Write and evaluate an expression to show ho
SIZIF [17.4K]

(18 \div 2)  + 2 = x
X= lbs Abbys dog weighs
so you would take 18 divide by 2 which is 9, then you add 2. So Abbys dog weighs, 11 lbs.
4 0
2 years ago
What is the solution of 3(2x - 1) - 2(3x + 4) = 11x?
Eduardwww [97]

3(2x - 1) - 2(3x + 4) = 11x

  • Distribute 3 inside the parentheses.

6x - 3 - 2(3x + 4) = 11x

  • Distribute 2 inside the parentheses.

6x - 3 - 6x - 8 = 11x

  • Combine like terms.

-11 = 11x

  • Divide both sides by 11.
<h3>x = -1</h3>
6 0
3 years ago
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