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PIT_PIT [208]
3 years ago
11

Juan is buying soda for a class party. he can go to the vending machine and buy 12-oz cans for $0.60 each, to the corner store a

nd get 20-oz bottles for $0.95, or to the grocery store and get 32-oz jugs for $1.55. Which is the best deal?
Mathematics
1 answer:
rodikova [14]3 years ago
4 0

Answer:

Best deal is corner store

Step-by-step explanation:

LCM is 480 oz

480 oz of the Vending Machine would be £24 (0.60 x (480/12))

480 oz of the Corner Store would be £22.80 (0.95 x (480/20))

480 oz of Grocery store would be £23.25 (1.55 x (480/32))

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If fernando paid $450 for a netbook that was 75% of the original price what was the original price
Ilya [14]

Answer: 600 dollars


Step-by-step explanation: 75% is 3/4 so you divide 450 by 3 to get 150. So you know for 1/4 the price is 150 dollars. Now that you know that you can multiply 150 4 times to get the full amount. 150*4=600


5 0
2 years ago
Which type of triangle has three sides that are the same length?
Rainbow [258]

Answer:

an equilateral triangle

5 0
2 years ago
Which of the following is equivalent to tan2θcos(2θ) for all values of θ for which tan2θcos(2θ) is defined?
Aloiza [94]

Answer:

2sin²θ - tan²θ

Step-by-step explanation:

Given

tan²θcos(2θ)

Required

Simplify

We start by simplifying cos(2θ)

cos(2θ) = cos(θ+θ)

From Cosine formula

cos(A+A) = cosAcosA - sinAsinA

cos(A+A) = cos²A - sin²A

By comparison

cos(2θ) = cos(θ+θ)

cos(2θ) = cos²θ - sin²θ ----- equation 1

Recall that cos²θ + sin²θ = 1

Make sin²θ the subject of formula

sin²θ = 1 - cos²θ

Substitute sin²θ = 1 - cos²θ in equation 1

cos(2θ) = cos²θ - (1 - cos²θ)

cos(2θ) = cos²θ - 1 +cos²θ

cos(2θ) = cos²θ + cos²θ - 1

cos(2θ) = 2cos²θ - 1

Substitute 2cos²θ - 1 for cos(2θ) in the given question

tan²θcos(2θ) becomes

tan²θ(2cos²θ - 1)

Open brackets

2cos²θtan²θ - tan²θ

------------------------

Simplify tan²θ

tan²θ = (tanθ)²

Recall that tanθ =  sinθ/cosθ

So, we have

tan²θ = (sinθ/cosθ)²

tan²θ = sin²θ/cos²θ

------------------------

Substitute sin²θ/cos²θ for tan²θ

2cos²θtan²θ - tan²θ becomes

2cos²θ(sin²θ/cos²θ) - tan²θ

Open bracket (cos²θ will cancel out cos²θ) to give

2(sin²θ) - tan²θ

2sin²θ - tan²θ

Hence, the simplification of tan²θcos(2θ) is 2sin²θ - tan²θ

Option E is correct

7 0
2 years ago
I need help please.........
kogti [31]
This is what I got I hope it can help you

6 0
3 years ago
Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relation
Verdich [7]

Since no possible correct method is posted, I will suggest a couple.

Method 1: guess and check

Works well for simple problems involving integers like this one.

Victor's age must be zero or greater than one, say one.

Guess v=1, find m=v+6=7, check m=5v-2=5-2=3 no good.

we need to make v bigger

Guess v=2, find m=v+6=2+6=8, check m=5v-2=5*2-2=8 ✔

So v=2, m=8.

Method 2:

Solve the system of two equations.

since the left-hand sides is m in both equations, and since m=m, we just have to equate the right-hand sides to solve for v.

5v-2=v+6

Solve for v

5v-v = 6+2

4v=8

v=2,

so again, v=2, m=v+6=2+6=8.

6 0
3 years ago
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