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Dafna1 [17]
3 years ago
6

Mary is building a sandcastle with rectangular prism molds. One mold is 4 inches long, 6 inches wide, and 2 inches tall. The oth

er mold is 3 inches long, 5 inches wide, and 1 inch tall. If she creates a castle by stacking these molds on top of each other, what volume of sand will be contained in her castle?
Mathematics
2 answers:
Oksanka [162]3 years ago
6 0

Answer:

The whole castle can hold 63 in² of sand.

Step-by-step explanation:

First, find the volume of the first mold.

V = whl          Substitute

V = (6)(2)(4)    Multiply

V = 48 in²

Now, find the volume of the second mold.

V = whl          Substitute

V = (5)(1)(3)    Multiply

V = 15 in²

Add together both volumes to find the volume of the whole castle.

48 + 15 = 63 in²

Fed [463]3 years ago
3 0

Answer:

63 cubic inches

Step-by-step explanation:

You have to first find the volume of each mold:

6 × 4 × 2= 48 cubic inches

3 × 5 × 1= 15 cubic inches

Add these two volumes together to find the overall volume of the whole sand castle.

48+15= 63 cubic inches

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Oduvanchick [21]
  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

<h2>Explanation:</h2>

To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c

\bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

In this case, we have the graph of:

y=x

And we need to translate it to make it the graph of:

y=x-1+4

According to our rules we need:

  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

But y=x-1+4 is the same as y=x+3, so the previous steps can be simplified as:

  • Shifting the graph of y=x 3 unit to the left.

Below are shown those graphs:

  • The blue one is y=x
  • The red one is y=x-1+4

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

6 0
3 years ago
What is the value of the y coordinate of any point on the x axis?
Leona [35]

The value of the y coordinate of any point on the x axis is always 0.

<u><em>Explanation</em></u>

Suppose, the co ordinate of any point is (a,b) .

It means, the distance of the point from x-axis is 'b' and distance from y-axis is 'a'.

Now if the point lies on the x-axis, that means the distance of the point from x-axis will be 0. Thus, the value of 'b' will be 0.

So, the value of the y coordinate of any point on the x axis is always 0.

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3 years ago
I need help for b) so Please help
murzikaleks [220]

Answer:

5

Step-by-step explanation:

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2 years ago
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If one three-digit number ( 0 cannot be a left digit) is chosen at random from all those that can be made from the following set
Oksana_A [137]

The probability of choosing a number that is not a multiple of 2 is P = 0.44

<h3 /><h3>How to find the probability?</h3>

We need to count the number of options for each digit.

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  • For the third digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}.

The total number of combinations is the product between the numbers of options:

C = 8*9*9 = 648

If we want our number to not be a multiple of 2 then it must end in a odd digit, the combinations that meet that condition are:

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C = 8*9*4 = 288

Then the probability of selecting a 3 digit number that is not a multiple of 2 is:

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brainly.com/question/251701

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