Answer:
6d + 10p = 118.50
2d + 2p = 27.50
drink = $4.75
Step-by-step explanation:
You can solve the system of equations above by using the elimination method. This method involves using positive and negative coefficients of one variable to eliminate it from the equation and solve for the remaining variable. Since you are going to be adding the systems together, you need to multiply one of the equations by a negative factor to eliminate one of the variables.
Multiply by a factor of '-3': -3(2d + 2p = 27.50) = -6d - 6p = -82.50
Add the system: 6d + 10p = 118.50
+ <u> -6d - 6p = -82.50</u>
4p = 36 or p = $9 for popcorn
Since we are solving for the cost of a drink, we can put in the value of $9 for the variable 'p' and solve for 'd':
2d + 2(9) = 27.50 or 2d + 18 = 27.50
Subtract 18 from both sides: 2d + 18 - 18 = 27.50 - 18 or 2d = 9.50
Divide and solve for 'd': 2d/2 = 9.50/2 or d = $4.75
Answer:
The value of x is 1.5
Step-by-step explanation:
<em>In similar figures, corresponding sides have the same ratio</em>
In the given figure
∵ There are 2 similar polygons
∴ We must write their names with corresponding angles
∵ ∠A = ∠L, ∠B = ∠M, ∠C = ∠N, ∠D = ∠P
∴ Their names are ABCD and LMNP
→ By using the rule above
∴ Their corresponding sides have the same ratio
∴ =
∵ AB = 14 and LM = x + 9
∵ BC = 10 and MN = x + 6
→ Substitute them in the ratio up
∴ =
→ By using the cross multiplication
∵ 14 × (x + 6) = 10 × (x + 9)
∴ 14(x) + 14(6) = 10(x) + 10(9)
∴ 14x + 84 = 10x + 90
→ Subtract 10x from both sides
∵ 14x - 10x + 84 = 10x - 10x + 90
∴ 4x + 84 = 90
→ Subtract both sides by 84
∵ 4x + 84 - 84 = 90 - 84
∴ 4x = 6
→ Divide both sides by 4 to find x
∴ x = 1.5
∴ The value of x is 1.5
i dont have any idea but ill will work on it and let you know
Answer:
divide the smaller number by the larger number
Step-by-step explanation:
54.8% or 55%