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rewona [7]
3 years ago
7

You have four ice cubes in your cup of lemonade each ice cube has a length of 2 1/4 cm a width of 2 2/3 cm and a height of 2 cm

what is the total volume of all the ice cubes
Mathematics
1 answer:
Margarita [4]3 years ago
4 0

Answer: 6

Step-by-step explanation:

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What is the sum of all values of m that satisfy 2m (squared) -16m+8=0?
vodomira [7]
<h2>Steps:</h2>

So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

2m^2-16m=-8

Next, divide both sides by 2:

m^2-8m=-4

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

-8 ÷ 2 = -4, (-4)² = 16

Add 16 to both sides of the equation:

m^2-8m+16=12

Next, factor the left side:

(m-4)^2=12

Next, square root both sides of the equation:

m-4=\pm \sqrt{12}

Next, add 4 to both sides of the equation:

m=4\pm \sqrt{12}

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:

  • Product rule of radicals: √ab = √a × √b

√12 = √4 × √3 = 2√3.

m=4\pm 2\sqrt{3}

<h2>Answer:</h2>

In exact form, your answer is m=4\pm \sqrt{12}\ \textsf{OR}\ m=4\pm 2\sqrt{3}

In approximate form, your answers are (rounded to the hundreths) m=7.46, 0.54

6 0
3 years ago
A store owner buys a case of 144 pens for $28.80. He sells the pens for $0.40 each. The owner claims that they marked the pens u
stellarik [79]

Answer: $0.3

Step-by-step explanation:

Given

The owner buys 144 pens for $28.80 i.e. each pen costs

\dfrac{28.80}{144}=\$0.2

owner sells the pen at $0.4 i.e. price marked up by

\Rightarrow \dfrac{0.4-0.2}{0.2}\times 100=100\%

So, the claim of the owner is incorrect

The actual increase in the price to get 50% markup

\Rightarrow 0.2\times (1+0.5)=\$0.3

6 0
3 years ago
A picture is 5 inches wide and 8 inches tall.
olganol [36]

Answer:

100 in^2

Step-by-step explanation:

Solve Area first:

5x8

= 40

Multiply by 2.5 (Enlarge)

40 x 2.5

= 100

6 0
3 years ago
Read 2 more answers
Help pls i'll give brainliest and 20 pts just help
vodomira [7]
You add up all of the Frequencies together (to get 50)

The number 6 was rolled 9 times. So that makes it 9/50.

9/50 -> .18 or 18%

Does that help?
6 0
2 years ago
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Expand the binomial (2x+y^2)^5
ra1l [238]

Answer:

32x+y^10

Step-by-step explanation:

2^5 = 32

y^2*5 = y^10

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