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2 years ago

9

Michelle bought five packs of crayons for $16.25 What is the cost of a pack of crayons, in dollars, if all the packs cost the sa

me?

1 answer:

fomenos2 years ago

3 0

Answer:

Michelle bought a pack of crayon for $3.25

Step-by-step explanation:

Number of packs = 5

The cost of a pack of crayons =

(Cost of 5 packs of crayon) / (number of packs of crayons)

The cost of a pack of crayons = ($16.25 ) / 5

The cost of a pack of crayons = $3.25

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K + a = v + w, for a

san4es73 [151]

Step-by-step explanation:

Solve for a

k + a = v + w

a = v + w - k

Solution → { a = v + w - k }

8 0

2 years ago

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For a person who has a mass 60 kg , calculate the weight in Newton if 1 In equals 4.45 N , then what is the person's weight in p

wel

Answer:

The answer to your question is a) 588.6 N b) 132.3 N

Step-by-step explanation:

Data

mass = 60 kg

weight = ?

Process

1.- Write the formula of weight

Weight = mass x gravity

gravity = 9.81 m/s²

2.- Substitution

Weight = 60 x 9.81

3.- Result

Weight = 588.6 kg m/s² = 588.6 N

4.- Convert Newtons to Pounds

1 pound ----------- 4.45 N

x ----------- 588.6 N

x = (588.6 x 1) / 4.45

x = 132.3 pounds

4 0

3 years ago

Answer this volume based Question. I will make uh brainliest + 50 points

Harlamova29_29 [7]

Answer:

$\huge{\purple {r= 2\times\sqrt[3]3}}$

$\huge 2\times \sqrt [3]3 = 2.88$

Step-by-step explanation:

For solid iron sphere:
radius (r) = 2 cm (Given)

Formula for $V_{sphere}$ is given as:

$V_{sphere} =\frac{4}{3}\pi r^3$

$\implies V_{sphere} =\frac{4}{3}\pi (2)^3$

$\implies V_{sphere} =\frac{32}{3}\pi \:cm^3$

For cone:
r : h = 3 : 4 (Given)
Let r = 3x & h = 4x

Formula for $V_{cone}$ is given as:

$V_{cone} =\frac{1}{3}\pi r^2h$

$\implies V_{cone} =\frac{1}{3}\pi (3x)^2(4x)$

$\implies V_{cone} =\frac{1}{3}\pi (36x^3)$

$\implies V_{cone} =12\pi x^3\: cm^3$

It is given that: iron sphere is melted and recasted in a solid right circular cone of same volume
$\implies V_{cone} = V_{sphere}$

$\implies 12\cancel{\pi} x^3= \frac{32}{3}\cancel{\pi}$

$\implies 12x^3= \frac{32}{3}$

$\implies x^3= \frac{32}{36}$

$\implies x^3= \frac{8}{9}$

$\implies x= \sqrt[3]{\frac{8}{3^2}}$

$\implies x={\frac{2}{ \sqrt[3]{3^2}}}$

$\because r = 3x$

$\implies r=3\times {\frac{2}{ \sqrt[3]{3^2}}}$

$\implies r=3\times 2(3)^{-\frac{2}{3}}$

$\implies r= 2\times (3)^{1-\frac{2}{3}}$

$\implies r= 2\times (3)^{\frac{1}{3}}$

$\implies \huge{\purple {r= 2\times\sqrt[3]3}}$
Assuming log on both sides, we find:

$log r = log (2\times \sqrt [3]3)$

$log r = log (2\times 3^{\frac{1}{3}})$

$log r = log 2+ log 3^{\frac{1}{3}}$

$log r = log 2+ \frac{1}{3}log 3$

$log r = 0.4600704139$

Taking antilog on both sides, we find:

$antilog(log r )= antilog(0.4600704139)$

$\implies r = 2.8844991406$

$\implies \huge \red{r = 2.88\: cm}$

$\implies 2\times \sqrt [3]3 = 2.88$

8 0

2 years ago

Determine the factors of 4x2 5x − 6 a(4x − 2)(x 3) b(4x − 3)(x 2) c (4x − 6)(x 1) d(4x − 1)(x 6)

Lelu [443]

4x^2 + 5x - 6 = (4x - 3) (x + 2)

You can do it by using the quadratic function to solve 4x^2 + 5x - 6 = 0; the result will be x = 3/4 and x = -2

Then you have to make (x- 3/4) = 0 and (x +2 ) = 0

When you develop x - 3/4 = 0 you get 4x -3 = 0, which means that 4x - 3 is a factor. The other factor is directly x + 2.

Answer: option b: (4x -3)(x + 2)

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3 years ago

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Sebastian leaves £3000 in the bank for two years.

nevsk [136]

40000 is the answer man shdjdorjnekdbebrjf

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3 years ago