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aev [14]
1 year ago
9

Alexis uses toy blocks to build a model of a building each toy block is 1 cubic inch The first three floors of the model are Mad

e up of six rows of four blocks floors four through eight are made up of 4 rows of 4 blocks what is the volume of the model
Mathematics
1 answer:
Alenkinab [10]1 year ago
8 0

Answer: The volume is 40 cubic inches

Step-by-step explanation: Each toy block is 1 cubic inch, which means each toy block is a cube with all sides (Length, width and height) measuring 1 inch. That makes the volume of each cube or block to be derived as;

Volume = L x W x H

Volume = 1 x 1 x 1

Volume = 1 cubic inch

The first 3 floors are made up of six rows of four blocks. This means, the first 3 floors has six by four blocks, that is, six times four blocks and that gives us 24 blocks.

The fourth to eighth floors are made up of four rows of four blocks. This also means four by four blocks, that is, four times four blocks and that gives us 16 blocks.

Having determined the amount of blocks used in the total model building as

1st - 3rd = 24 blocks

4th - 8th = 16 blocks

The total number of blocks used is 24 plus 16 which equals 40. Having been told that each block has a volume of 1 cubic inch, the volume of the model building equals 40 cubic inches.

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Write an equation that represents a horizontal translation 10 units left of the graph of g(x) = |x|
Vika [28.1K]
Answer:  h(x) = |x+10|

---------------------------------------------------------

Explanation:

To shift the graph 10 units to the left, we replace x with x+10. What's really going on is that the xy axis shifts 10 units to the right (because x is now x+10; eg, x = 2 ---> x+10 = 2+10 = 12) so it appears that the graph is moving to the left. The general rule is h(x) = g(x+10). 

So,
g(x) = |x|
g(x+10) = |x+10| ... every x has been replaced with x+10
h(x) = g(x+10)
h(x) = |x+10|

We can use a graphing tool like GeoGebra to visually confirm we have the right answer (see attached). Note how a point like (0,0) on the green graph moves to (-10,0) on the red graph. 

7 0
1 year ago
Read 2 more answers
The total operating cost to run the organic strawberry farm varies directly with its number of acres. What is the constant of va
kow [346]

Answer:

16\ acres

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

<em>Find the value of the constant of proportionality k</em>

k=\frac{y}{x}

substitute the values of x and y

k=\frac{551,520}{20}=\$27,576\ per\ acre

The linear equation is equal to

y=27,576x

Find out how many acres are on a farm with a total operating cost of $441,216

so

For y=$441,216

substitute in the linear equation the value of y and solve for x

441,216=27,576x

x=441,216/27,576

x=16\ acres

5 0
2 years ago
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(25 points, please help! Brainliest!) Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home.
disa [49]

Answer:

the new scale is the same length as the original scale

7 0
1 year ago
Lyles height is twice the difference of the height of his brother, harry, and the height of his dad, vince. Lyle is 2 1/2 feet t
Greeley [361]

Answer:

5 = 19 - 4v

Step-by-step explanation:

We are given the following in the question:

\text{Lyle's height} = 2( \text{Harry's height - Vince's height})

Let l be Lyle's height, h be Harry's height and v be Vince's height.

Thus, we can write:

l = 2(h-v)

Lyle's Height =

2\dfrac{1}{2}\text{ feet}

Harry's height =

4\dfrac{3}{4}\text{ feet}

Putting the value in the equation:

2\dfrac{1}{2} = 2(4\dfrac{3}{4}- v)\\\\\dfrac{5}{2} = \dfrac{19}{2} - 2v\\\\5 = 19 - 4v\\4v = 19-5\\\\v = \dfrac{14}{4}\\\\v = 3\dfrac{2}{4} = 3\dfrac{1}{2}

Thus, Vince's height is 3.5 feet.

7 0
2 years ago
Kari bought 3 boxes of cookies to share with a book club. Each box contains 12 cookies. The expression represents the number of
ivanzaharov [21]

<u>ANSWER:</u>

Kari bought 3 boxes of cookies to share. The algebraic expression is \frac{36}{x}

<u>Solution:</u>

Given, Kari bought 3 boxes of cookies to share with a book club.  

Each box contains 12 cookies.  

So, in total we have 3 x 12 cookies = 36 cookies.

Now, we have to find how many cookies can each person p will get.

Let, the total number of persons be x.

Then, after equally sharing the cookies,

\text { Number of cookies with each person }=\frac{\text {number } of \text { cookies available.}}{\text {total number of persons}}

=\frac{36}{x} \text { cookies. }

Hence, the algebraic expression is \frac{36}{x}

7 0
2 years ago
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