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charle [14.2K]
3 years ago
10

Mary bought 2 large popcorn buckets and 4 small drinks for $20. Linda bought 2 large popcorn buckets and 2 small drinks for $14.

What was the cost for the large popcorn and the small drink?
Mathematics
1 answer:
love history [14]3 years ago
8 0

Answer:

the cost for the large popcorn and the small drink is $4 and $3 respectively

Step-by-step explanation:

The computation of the cost for the large popcorn and the small drink is shown below:

Let us assume the cost of the large popcorn be x

ANd, the small drink cost be y

Now as per the question

2x + 4y = $20

2x + 2y = $14

Now subtract equation 2 from equation 1

2y = $6

y = $3

Now for x it is

2x + 12 = $20

2x = $8

x = $4

Hence, the cost for the large popcorn and the small drink is $4 and $3 respectively

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Which expressions are equivalent to 1 divided m/6? Check all that apply
jenyasd209 [6]

Answer:

option A, option C, option D

Step-by-step explanation:

a) 1 ÷ m/6

can be written as

\frac{1}{1}÷ \frac{m}{6}

b) sides in (m/6) will change if both has to multiply

c) 1 ÷ m/6

can be written as

1 * 6/m

1(\frac{6}{m}) and wont make change to answer. so matches with the question.

d)

1 ÷ m/6

1 * 6/m

1 * 6 * \frac{1}{m}

6 * \frac{1}{m}

6 ÷ m ..therefore true

e)

1 ÷ m/6

1 * 6/m

6/m    ....does not match or can be converted to the following so wrong

  • Therefore A, C, D are correct and B and E is wrong.
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3 years ago
What’s the answer ????
sukhopar [10]
0. 

The x on the bottom will cancel out the x on the top here. 
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3 years ago
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Question 2 (10 points)
lara [203]

Answer:

140-111=29

Step-by-step explanation:

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3 years ago
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Find the values of sin2u, cos2u, and tan2u given the figure.
Vadim26 [7]

Givens

y = 2

x = 1

z(the hypotenuse) = √(2^2 + 1^2)  = √5

Cos(u) = x value / hypotenuse = 1/√5

Sin(u) = y value / hypotenuse = 2/√5

Solve for sin2u

Sin(2u) = 2*sin(u)*cos(u)

Sin(2u) = 2(\dfrac{1}{\dsqrt{5}} * \frac{2}{\dsqrt{5}} = \dfrac{2}{5}) = 4/5

Solve for cos(2u)

cos(2u) = - sqrt(1 - sin^2(2u))

Cos(2u) = - sqrt(1 - (4/5)^2 )

Cos(2u) = -sqrt(1 - 16/25)

cos(2u) = -sqrt(9/25)

cos(2u) = -3/5

Solve for Tan(2u)

tan(2u) = sin(2u) / cos(2u) = 4/5// - 3/5 = - 0.8/0.6 = - 1.3333 = - 4/3

Notes

One: Notice that you would normally rationalize the denominator, but you don't have to in this case.  The formulas are such that they perform the rationalizations themselves.

Two: Notice the sign on the cos(2u). The sin is plus even though the angle (2u) is in the second quadrant. The cos is different. It is about 126 degrees which would make it a negative root (9/25)

Three: If you are uncomfortable with the  tan, you could do fractions.

\text{tan(2u)} = \dfrac{\dfrac{4}{5}}{\dfrac{-3}{5} } =\dfrac{4}{5} *\dfrac{5}{-3} =\dfrac{4}{-3}

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