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Reil [10]
1 year ago
8

will crown brainliest Stephanie puts 30 cubes in a box. The cubes are 1/2 inch on each side. The box holds two layers with 15 cu

bes in each layer. What is the volume of the box awnsers 5cubic inches, 7 1/2 cubic inches,3 3/4 cubic inches, 15 cubic inches
Mathematics
2 answers:
Lera25 [3.4K]1 year ago
8 0

Answer:

Option C, 3\frac{3}{4} inches³

Step-by-step explanation:

Stephanie puts 30 cubes in a box.

Cubes are 0.5 inch on each side.

The box holds two layers with 15 cubes in each layer

Since side of a cube is 0.5 inch so volume of one cube = (0.5)³

                                                                                           = 0.125 inch³

Volume of 30 cubes = 30 × 0.125 = 3.75 inch³

Since box contains 30 cubes

so volume of the box = volume of 30 cubes.

                                   = 3.75 inch³ ≈ 3\frac{3}{4} inches³

Option C, 3\frac{3}{4} inches³ is the answer.

KiRa [710]1 year ago
5 0
15 cubic inches is the answer hope this helps and please give me brainiest
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Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real
adoni [48]

Step-by-step explanation

<h3>Prerequisites:</h3>

<u>You need to know: </u>

b^2 - 4ac = 0 \Rightarrow 1 solution

b^2 - 4ac > 0 \Rightarrow 2 solutions

b^2 - 4ac < 0 \Rightarrow No\ real\ solutions

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2x^2-7x-9 = 0

b^2 - 4ac

-7^2 - 4(2)(-9) = 121

2 Solutions

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x^2-4x+4 = 0

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-4^2 - 4(1)(4) = 0

1 Solution

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4x^2-3x-1 = 0

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-3^2 - 4(4)(-1) = 25

2 Solutions

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x^2-2x-8 = 0

b^2 - 4ac

-2^2 - 4(1)(-8) = 36

2 Solutions

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3x^2+5x+3 = 0

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3 0
2 years ago
Read 2 more answers
Division of two quantities is expressed as the ____ of those two quantities.
andreev551 [17]


Division of two quantities is expressed as the  quotient of those two quantities.

The word quotient is derived from the Latin language. It is from the Latin word "quotiens" which means "how many times." A quotient  is the answer to a divisional problem. A divisional problem describes how many times a number will go into another. The first time that this word was known to have been used in mathematics was around 1400 - 1500 AD in England.

There are two different ways to find the quotient of two numbers.  One of them is through Fractions. The quotient of a fraction is the number obtained when the fraction is simplified. The other way to find a quotient is  by employing the long division method where the quotient  value is positioned above the divisor and dividend.
 


6 0
2 years ago
Find the value of x in each case:
Zanzabum

Answer:

x=30\°

Step-by-step explanation:

<u>Find the measures of interior angles in each triangle</u>

Triangle BGC

m

The measures of triangle BGC are 90\°-60\°-30\°

Triangle CGH

we know that

m -----> by consecutive interior angles

we have that

m

so

m

m

substitute

m

we have

m

m

m

remember that

m

60\°+2x+180\°-4x=180\°

60\°=2x

x=30\°

The measures of triangle CGH are 60\°-60\°-60\°

Triangle GHE

m< EGH=90\°-2x=90-2(30\°)=30\°

m< GHE=4x=4(30\°)=120\°

remember that

m

substitute and solve for m<GEH

30\°+120\°+m

150\°+m

m

The measures of triangle GHE are 30\°-120\°-30\°

6 0
2 years ago
Read 2 more answers
Brad wants to buy flowers for his friend with $15. The daisies are $1 each and the roses are $3 each. He buys 3 more daisies tha
melisa1 [442]
D + 3r = 15
d = r + 3

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4r = 15 - 3
4r = 12
r = 12/4
r = 3 ....he bought 3 roses, at $ 3 per rose = $ 9 <==

d = r + 3
d = 3 + 3
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6 0
2 years ago
Read 2 more answers
The first term of a finite geometric series is 6 and the last term is 4374. The sum of all the term os 6558. find the common rat
Oliga [24]

A geometric series is written as ar^n, where a is the first term of the series and r is the common ratio.

In other words, to compute the next term in the series you have to multiply the previous one by r.

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6, 6r, 6r^2, 6r^3, 6r^4, 6r^5, \ldots.

Let's use the other information, since the last term is 4374 > 6, we know that r>1, otherwise the terms would be bigger and bigger.

The information about the sum tells us that

\displaystyle \sum_{i=0}^n 6r^i = 6\sum_{i=0}^n r^i = 6558

We have a formula to compute the sum of the powers of a certain variable, namely

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The only integer solution to this expression is n=6, r=3.

If you want to check the result, we have

6+6*3+6*3^2+6*3^3+6*3^4+6*3^5+6*3^6 = 6558

and the last term is

6*3^6 = 4374

7 0
1 year ago
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