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Shkiper50 [21]
2 years ago
7

A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.

Mathematics
1 answer:
marin [14]2 years ago
3 0

Helloooo, Your answer for part A is 13 cm

You answer for part b is 2600

13 x 10 x 20 = 2600

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2/3[8(5-2)^2 +3*2]<br> How do I distribute the 2/3? And then solve the rest!
jolli1 [7]

To distribute the 2/3, this is what you do.

2/3[8(5-2)^2 + 3*2] = (2/3)(8)(5-2)^2 + (2/3)(3*2) =

Now you can continue. You need to follow the correct order of operations.

= (2/3)(8)(3^2) + (2/3)(6)

= (2/3)(8)(9) + 4

= (2/3)(9)(8) + 4

= (6)(8) + 4

= 48 + 4

= 52

This is how I would have done it.

2/3[8(5-2)^2 + 3*2] =

= 2/3[8(3)^2 + 6]

= 2/3[8 * 9 + 6]

= 2/3[72 + 6]

= 2/3[78]

= 2 * 1/3(78)

= 2 * 26

= 52

8 0
4 years ago
1 soda + 1 cupcake+1popsicle=$22.00
Bogdan [553]

Answer:

a)  1 cupcake = $5.50

b)  1 Popsicle = $3.50

Step-by-step explanation:

Let s = cost of one soda

Let c = cost of one cupcake

Let p = cost of one Popsicle

From the given information we can create 3 equations:

  • Equation 1:   s + c + p = 22
  • Equation 2:   s + 3c + 3p = 40
  • Equation 3:   c = p + 2

Subtract Equation 1 from Equation 2 to eliminate the variable s:

    s + 3c + 3p = 40

<u>-        s + c + p = 22</u>

<u>           2c + 2p = 18</u>

<u />

Substitute Equation 3 into this new equation and solve for p:

⇒ 2c + 2p = 18

⇒ 2(p + 2) + 2p = 18

⇒ 2p + 4 + 2p = 18

⇒ 4p = 14

⇒ p = 3.5

Substitute the found value of p into Equation 3 and solve for c:

⇒ c = p + 2

⇒ c = 3.5 + 2

⇒ c = 5.5

To find the cost of a soda (s), substitute the found values of p and c into Equation 1:

⇒ s + c + p = 22

⇒ s + 5.5 + 3.5 = 22

⇒ s = 13

Therefore,

  • 1 soda costs $13
  • 1 cupcake costs $5.50
  • 1 Popsicle costs $3.50
4 0
2 years ago
at a soccer match for every goal team a score team the score 3 goals the ratio of the number of goals scored by team to the numb
faust18 [17]

Answer:

1 : 3

Step-by-step explanation:

Given that :

For every goal TEAM A score ; TEAM B scores 3

Expressing the above as a ratio in the form:

Team A : Team B

Team A = 1 ; Team B = 3

1 : 3

Hence, the ratio is in the form 1 : 3

6 0
3 years ago
Pythagorean theorem in 3D.
White raven [17]

Answer:

<em>h = 6.2</em>

Step-by-step explanation:

You need to find h.

The dashed triangle is a right triangle. 8 is the hypotenuse. h is a leg. The other leg is the half of the side of the base, 5.

5^2 + h^2 = 8^2

h^2 + 25 = 64

h^2 = 64 - 25

h^2 = 39

h = \sqrt{39}

h = 6.244998...

h = 6.2

6 0
3 years ago
A line is neither parallel nor perpendicular y=2/5x+1
mylen [45]
Y=5x+2 is the line for neither parallel nor perpendicular
3 0
3 years ago
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