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prisoha [69]
3 years ago
11

Julia needs to make a box in the shape of a rectangular prism with a height of 3 inches and a volume of 243 cubic inches. The di

mensions, in inches, must be whole numbers greater than 1. Julia claims that the length and the width must be equal. Part A: What dimensions would support Julia's claim about the length and with of the box? Part B: What dimensions would not support Julia's claim about the length and width of the box. Part A length =______________ Part A width=_____________________. Part B length_________________Part B Width=_____________________.
Mathematics
2 answers:
umka2103 [35]3 years ago
7 0
The volume of a rectangular prism is equal to length*width*height. In this case, we have V = 243 and H = 3.
243 = LW(3), so LW = 81, where L & W are whole numbers greater than 1. There are only 3 possible pairs of values for this: 27*3, 9*9, and 3*27 (we cannot use 1*81 or 81*1, since we need dimensions > 1).
Part A. This could be true if Length = 9 in and Width = 9 in, as 9*9 = 81.
Part B. The claim could be false if Length = 27 in and Width = 3 in, as 27*3 = 81, but 27 is not equal to 3.
*Note that the width cannot be longer than the length.
natulia [17]3 years ago
6 0
Part A.
 sqrt 81 = 9; L = 9 ; W = 9 inches

Part B.
if length =27 , width =3, though 27*3 = 81 but then 27 is not equal 3. So false
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8 0
3 years ago
3u - 3 = 15<br><br>give me a lecture so i can try to do it in the future please​
never [62]

Answer:

u=6

Step-by-step explanation:

One rule in algebra is what you do to one side, you do it to other side. So if you multiply a number in one side, multiply the same number in other side. Here in this question, you are trying to find the value of the variable u. Variable is called so because the value of it varies depending on different question. Here u is going to be a constant number which when multipled by 3 and then subtracted by 3 equals 15.

So first step is we try to get constants on one side. So we add 3 on both sides to get rid of 3 on left.

3u - 3 + 3= 15+3

3u= 18

Now we divide by 3 on both sides to get u by itself.

3u/3 = 18/3

u= 6

7 0
2 years ago
What is the value of x in parallelogram QRST?<br><br> 16<br> 12<br> 8 <br> 4
Wewaii [24]
This is parallelogram so
8=2x
X=4
Or
3x=12
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3 0
3 years ago
What is the distance between -45 and 65
tatyana61 [14]

Answer:

110

Step-by-step explanation:

What is the Difference between -45 and +65? In other words, what is the Difference between negative 45 and positive 65?

To solve this math problem, start by picturing a horizontal number line that starts with negative infinity on the left and ends with positive infinity on the right:

∞ ..... -3, -2, -1, 0, +1, +2, +3, .... ∞

The Difference between -45 and +65 is the distance between -45 and +65 on our number line above. Thus, the Difference between two numbers will always be a positive number.

It is a two-step process to calculate the Difference between -45 and +65. Step 1 is to subtract +65 from -45, and Step 2 is to find the absolute value of the Step 1 answer. Here is the math to illustrate better:

(-45) - (+65) = -110

|-110| = 110

That's it! The Difference between -45 and +65 is as follows:

110

5 0
3 years ago
Express the following linear equations in the form ax+by+c= 0 and indicate the values of a, b and c in each case: (1) y = x/5​
EleoNora [17]

Answer:

Did the question get cut off?

a = -(1/5)

b = 1

c = 0

Step-by-step explanation:

y = x/5 may be rewritten as y = (1/5)x

y = (1/5)x

y - (1/5)x = 0

- (1/5)x + y + 0 = 0

   ax  +   by   + c = 0

a = -(1/5)

b = 1

c = 0

8 0
2 years ago
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