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Elden [556K]
3 years ago
10

50+ POINTS AND BRAINLIEST! PLEASE BE CORRECT! What is the surface area of the prism?

Mathematics
1 answer:
Fantom [35]3 years ago
5 0

Answer:

  =234 mm^2

Step-by-step explanation:

The surface area of a rectangular prism is given by

SA = 2 (lw +lh +hw)  where l is the length, w is the width and h is the height

SA = 2 ( 15*3 + 15*4 + 3*4)

     = 2( 45+60+12)

    = 2(117)

    =234 mm^2

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Use elimination to solve.<br> 3y-6x=7<br> -4y-3x=9
shtirl [24]

Answer:

x = -5/3, y = -1 or (-\frac{5}{3}, -1)

Step-by-step explanation:

Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.  

Equation 1:   3y - 6x = 7

Equation 2:  -4y - 3x = 9          

<h3>Step 1:  Multiply Equation 2 by -2:</h3>

(-2)(-4y - 3x) = 9 (-2)

8y + 6x = -18

<h3>Step 2: Add "8y + 6x = -18" to Equation 1:</h3>

  8y + 6x = -18

+ 3y - 6x = 7

11y = -11

<h3>Step 3: Divide both sides by 11 to solve for y:</h3>

\frac{11y}{11} =  \frac{-11}{11}

y = -1

<h3>Step 4: Substitute y = -1 into Equation 2 to solve for x: </h3>

-4(-1) - 3x = 9      

    4 - 3x = 9

<h3>Step 5: Subtract 4 from both sides:</h3>

    4 - 4 - 3x = 9 - 4

   - 3x = 5

<h3>Step 6: Divide both sides by -3 to solve for x:</h3>

\frac{-3x}{-3} = \frac{5}{-3}

x = - \frac{5}{3}

Verify whether the values for x and y are correct by substituting their values into both equations:

x = -5/3, y = -1

Equation 1:   3y - 6x = 7

3(-1) - 6(-\frac{5}{3}) = 7  

-3 + 10 = 7

7 = 7 (True statement).

Equation 2:  -4y - 3x = 9          

-4(-1) - 3 (-5/3)  = 9          

-4(-1) - 3(-\frac{5}{3}) = 9

4 + 5 = 9

9 = 9  (True statement).

Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.  

8 0
3 years ago
There are 15 qualified applicants for 5 trainee positions in a fast-food management program. How many different groups of traine
pickupchik [31]

Answer:

C

Step-by-step explanation:

This is actually a combination problem as we are trying to select groups of 5 from the 15 qualified trainees.

To do this, we use the combinatorial approach. This is done by using the formula 15C3 = 15!/(15-3)!3!

This gives a value of 455

6 0
4 years ago
What is the ratio of 16 baseballs to 12 golf balls
Natali5045456 [20]
16:12 is the answer if you want   you could do 16 baseballs over 12 golfballs
5 0
3 years ago
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I really need help on this problem its on khan academy 27÷(−9)=?
ladessa [460]

Answer: -3

Step-by-step explanation:

\frac{27}{-9} = -3 \\

We can check our work my multiplying -3 by -9 and see that it equals 27

-9*[\frac{27}{-9}  = -3 ]* -9\\27 = 27

8 0
3 years ago
How do I write 360,556 in expanded form
Varvara68 [4.7K]
360.556=3*100.000+6*10.000+5*100+5*10+6
8 0
3 years ago
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