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Annette [7]
3 years ago
13

A rectangular prism with a volume of 5 cubic units is filled with cubes with side lengths of 1/3 unit. How many 1/3 unit cubes d

ocs it take to fill the prism? ​
NVM I GOT IT
Mathematics
1 answer:
ozzi3 years ago
4 0
What’s ever it it good for you
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A candle shop sells scented candles for $16 each and unscented candles for $10 each. The shop sells 28 candles today and makes $
Rudiy27
<h3><u>The system of linear equations that represents the situation is:</u></h3>

a + b = 28

16a + 10b = 400

<h3><u>20 scented candles and 8 unscented candles were sold</u></h3>

<em><u>Solution:</u></em>

Let "a" be the number of scented candles sold

Let "b" be the number of unscented candles sold

From given,

Cost of 1 scented candles = $ 16

Cost of 1 unscented candles = $ 10

<em><u>The shop sells 28 candles today</u></em>

Therefore,

a + b = 28

b = 28 - a ------- eqn 1

<em><u>The shop sells 28 candles today and makes $400</u></em>

Therefore,

number of scented candles sold x Cost of 1 scented candle + number of unscented candles sold x Cost of 1 unscented candles = 400

a \times 16 + b \times 10 = 400

16a + 10b = 400 ------ eqn 2

<em><u>Substitute eqn 1 in eqn 2</u></em>

16a + 10(28 - a) = 400

16a + 280 - 10a = 400

6a = 400 - 280

6a = 120

a = 20

<em><u>Substitute a = 20 in eqn 1</u></em>

b = 28 - 20

b = 8

Thus 20 scented candles and 8 unscented candles were sold

7 0
3 years ago
Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
kogti [31]

9514 1404 393

Answer:

  f(x) = x³ -5x² +2x +8

Step-by-step explanation:

If the function has a zero of p, then it has a factor of (x-p). The polynomial of least degree will only have factors corresponding to the given zeros:

  f(x) = (x -(-1))(x -2)(x -4)

  = (x +1)(x -2)(x -4)

  = (x² -x -2)(x -4)

  f(x) = x³ -5x² +2x +8

6 0
3 years ago
James drove 6 miles south and then 3 miles west.how far is he from his starting point
Minchanka [31]

Answer:

9 miles

Step-by-step explanation:

A 6+3 is nine

7 0
3 years ago
Li bought his dog Spot a huge bone that is 15 inches long. Spot chews 4 inches off the bone every day. What is the new length of
kap26 [50]

Answer:

3 inches

Step-by-step explanation:

If the dog chews off 4 inches every day, you first have to multiply the inches by the number of days, which in this case is 3 x 4, which equals 12. In 3 days, he chewed off 12 of the original 15 inches, leaving only 3 inches left.

3 0
3 years ago
Algebra help please?
spin [16.1K]

Answer is 3 seconds


When the bullet reaches the ground, ground being x in graph (and here its s which is  = 0)

s = -16t^2 + 48t

s = 0, solve for t

0 = -16t^2 + 48t

0 = t ( -16t + 48)

0 = 16t ( - t + 3)

now you have two equation

0 = 16t and 0 = -t +3 ( you can look at the graph line touches x twice)


0 = 16 t

0 = t ( you know its false, because time = 0)


You are left with

0 = -t + 3

t = 3


It takes 3 seconds for the bullet to return to the ground.

// Hope this helps.

8 0
3 years ago
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