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otez555 [7]
2 years ago
12

Michele bought 3.50 pounds of dried fruit for $11.55. Her friend buys 7.25 pounds of peanuts for $25.38. Which is less expensive

per pound? By how much?
Mathematics
2 answers:
Kisachek [45]2 years ago
8 0

Answer:

fruit cost less by the

Step-by-step explanation:

one pound of fruit cost 3.30 and peanuts cost 3.50 per pound

zvonat [6]2 years ago
8 0
Michele has the less expensive one by 20 cents.
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the radius of one circular field is 5m and that of other is 3m.find the radius of circular field whose area is the difference of
Alex777 [14]

Answer:

4m

Step-by-step explanation:

  1. Recall the formula for area of a circle for each calculation
  2. Calculate the area of the large field (r = 5m)
  3. Calculate the area of the small field (r = 3m)
  4. Find the difference in area
  5. Find the radius of the "difference" field using difference in area

The formula for area of a circle is A = πr².

"A" means area.

π is pi. <em>I will use the π button</em>, but some teachers ask to use 3.14.

"r" means radius.

Area of large field:

Substitute "r" for 5m in the formula.

A = πr²

A = π(5m)²

A = π25m²

A = 78.5398163397 m²

Area of small field:

Substitute "r" for 3m in the formula.

A = πr²

A = π(3m)²

A = π9m²

A = 28.2743338823  m²

Difference in areas:

Subtract the area of small field from the area of large field.

(78.5398163397 m²) - (28.2743338823  m²)

= 50.2654825 m²

Radius of "difference" field:

Since we are looking for radius, not area, rearrange the formula to isolate "r".

A = πr²

\frac{A}{\pi } = \frac{\pi r^{2}}{\pi}     Divide both sides by π

\frac{A}{\pi } = r²                π cancels out on the right side

\frac{A}{\pi } = √r²             Square root both sides

\sqrt{\frac{A}{\pi }} = r        ² and √ cancel out, leaving "r" isolated

r = \sqrt{\frac{A}{\pi }}       Variable on the left for standard formatting

Substitute "A" for the difference in area

r = \sqrt{\frac{A}{\pi }}

r = \sqrt{\frac{50.2654825m^{2}}{\pi }}     Divide by pi first

r = \sqrt{16.0000000135&#10;m^{2}}            Find the square root

r ≈ 4m

The radius of the field that has the area of the difference in the two fields is 4m.

3 0
3 years ago
An electrician earns 100 dollars for a project installing light fixtures. She must pay for the light fixtures herself and they c
Gnoma [55]

Answer:

y = 100 - 2.5 x is the equation that represents her total profit from

the project

Step-by-step explanation:

The given is:

1. An electrician earns 100 dollars for a project installing light fixtures

2. She must pay for the light fixtures herself and they cost 2 dollars

   and 50 cents each

3. x represent the number of light fixtures and y represent her

  total profit

Her profit is the amount of money she has left over after paying for

the light fixtures

∵ The cost of each light fixtures is 2 dollars and 50 cents

- Let us change the cents to dollar

∵ $1 = 100 cents

∴ 50 cents =  dollar

∴ 2 dollars and 50 cents = $2.5

∵ Her profit = The money she earns - The money she pays

∴ The cost of each light fixtures = $2.5

∵ She installs x light fixtures

∴ She pays 2.5 x dollar

∵ She earns $ 100 for installing x light fixtures

∵ Her profit is $y

∴ y = 100 - 2.5 x

y = 100 - 2.5 x is the equation that represents her total profit from

the project

Step-by-step explanation:

4 0
3 years ago
Tyreek Hill has scored 32 touchdowns in 59 games. If he continues at this rate, how many touchdowns will he score in the 2020 se
Romashka-Z-Leto [24]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Abbas is two years younger than Brad. Two years ago, the sum of their ages was the same as Brad's current age. How old are the b
Klio2033 [76]

Answer:

I believe they are younger

Step-by-step explanation:

I hope this helps

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2 years ago
Anyone want my rare brainly username ( harmful )
Paul [167]

Answer:

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Step-by-step explanation:

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