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Yuki888 [10]
3 years ago
12

Find the area for the rectangular prism

Mathematics
1 answer:
faust18 [17]3 years ago
4 0

Answer:

596ft

Step-by-step explanation:

You might be interested in
Solve the given linear Diophantine equation. Show all necessary work. A) 4x + 5y=17 B)6x+9y=12 C) 4x+10y=9
aliina [53]

Answer:

A) (-17+5k,17-4k)

B)  (-4+3k,4-2k)

C) No integer pairs.

Step-by-step explanation:

To do this, I'm going to use Euclidean's Algorithm.

4x+5y=17

5=4(1)+1

4=1(4)

So going backwards through those equations:

5-4(1)=1

-4(1)+5(1)=1

Multiply both sides by 17:

4(-17)+5(17)=17

So one integer pair satisfying 4x+5y=17 is (-17,17).

What is the slope for this equation?

Let's put it in slope-intercept form:

4x+5y=17

Subtract 4x on both sides:

     5y=-4x+17

Divide both sides by 5:

      y=(-4/5)x+(17/5)

The slope is down 4 and right 5.

So let's show more solutions other than (-17,17) by using the slope.

All integer pairs satisfying this equation is (-17+5k,17-4k).

Let's check:

4(-17+5k)+5(17-4k)

-68+20k+85-20k

-68+85

17

That was exactly what we wanted since we were looking for integer pairs that satisfy 4x+5y=17.

Onward to the next problem.

6x+9y=12

9=6(1)+3

6=3(2)

Now backwards through the equations:

9-6(1)=3

9(1)-6(1)=3

Multiply both sides by 4:

9(4)-6(4)=12

-6(4)+9(4)=12

6(-4)+9(4)=12

So one integer pair satisfying 6x+9y=12 is (-4,4).

Let's find the slope of 6x+9y=12.

6x+9y=12

Subtract 6x on both sides:

      9y=-6x+12

Divide both sides by 9:

       y=(-6/9)x+(12/9)

Reduce:

       y=(-2/3)x+(4/3)

The slope is down 2 right 3.

So all the integer pairs are (-4+3k,4-2k).

Let's check:

6(-4+3k)+9(4-2k)

-24+18k+36-18k

-24+36

12

That checks out since we wanted integer pairs that made 6x+9y=12.

Onward to the last problem.

4x+10y=9

10=4(2)+2

4=2(2)

So the gcd(4,10)=2 which means this one doesn't have any solutions because there is no integer k such that 2k=9.

6 0
3 years ago
What is the perimeter of the figure?
Ad libitum [116K]

Answer: 22^yd

Step-by-step explanation:

7 0
3 years ago
Benny wants to make cookies.To make cookies, he needs 7/3 cups of flour per batch of cookies.If Benny has 7 cups of flour, then
Amanda [17]

Answer:

With 7 cups of flour  3.13 batches of cookies can be made.

Step-by-step explanation:

The amount of flour needed per batch of cookies = 7/3 cups

=  2.33 cup

⇒ 1 batch of cookies = 2.33 cup of flour

or  the ratio of <u>cookie to flour =         1       :      2.33</u>

<u />

Now, the amount of flour Benny has = 7 cups

Let the total batches of cookie made = m

or, ratio of <u>cookie to flour =         m       :      7</u>

So, by the RATIO OF PROPORTIONALITY:

\frac{1}{2.23}  = \frac{m}{7 }

⇒ m = 7 /2.23

or, m   =  3.13

or,  total batches of cookie made = 3.13

Hence, from 7 cups of flour  3.13 batches of cookies can be made.

8 0
3 years ago
How do you graph this inequality on a number line? <br><img src="https://tex.z-dn.net/?f=r%20%5Cleqslant%20%20-%209" id="TexForm
Black_prince [1.1K]

Answer in the attachment.

5 0
2 years ago
if selina 8% commission on sales.on one sale,her commission was $20.40.what was the amount of that sales
Art [367]

Answer:

255

Step-by-step explanation:

8

20.40

=

100

x

%

$

8

x

=

20.40

×

100

x

=

20.40

×

100

8

x

=

$

255

Method 2:

20.40 x

% you want

% you've got

20.40

×

100

8

=

$

255

5 0
3 years ago
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