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
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>
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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
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
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.
Y=5x+2 is the line for neither parallel nor perpendicular
