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oksian1 [2.3K]
3 years ago
9

Makayla and Alexandra go to the movie theater and purchase refreshments for their friends.

Mathematics
2 answers:
Lesechka [4]3 years ago
6 0

Answer:

The drink cost $10 and Popcorn cost $10.25

Step-by-step explanation:

Let B represents Pop corn

Let D represents Drinks

We create our equation as

1B + 6D= 70.25..........Equ i

5b + 12D =171.25.......Equ ii

Kindly check attached picture for the workings

ollegr [7]3 years ago
3 0

Answer:

Drinks cost $10 and bag of popcorn $10.25

Step-by-step explanation:

In this case we can solve it using a 2x2 system of equations, like this:

let x: price of bag of popcorn

let y: price of drinks

So:

1 * x + 6 * y = 70.25 => x = 70.25 - 6 * y

5 * x + 12 * y = 171.25  

Replacing, we are left with that:

5 * (70.25 - 6 * y) + 12 * y = 171.25  

351.25 - 30 * y + 12 * y = 171.25

- 30 * y + 12 * y = 171.25 - 351.25

-18 * y = -180

y = 180/18

y = 10

Now to calculate x:

x = 70.25 - 6 * 10

x = 10.25

this means that the drinks cost $10 and bag of popcorn $10.25

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Help me please I don’t wanna fair math
vladimir1956 [14]

Step-by-step explanation:

To find the equation you must first find the gradient and also look for the points on the graph.

I see point ( 0, 2) and point (4, 1)

Hence first find the gradient before equation

the gradient = y2-y1/x2-x1

y2 = 1

y1 = 2

x2 = 4

X1 =0

if you put in the values it will look like

1-2/4-0

-1/4

the gradient = -1/4

So for the equation the formula is

remember m is the gradient

y - y1 = m ( x - x1 )

so put in the value from only one point so you can choose either (0,2 ) or (4,1 )

I will go with (4, 1)

y - y1 = m ( x - x1 )

y - 1 = m ( x - 4 )

y -1 = -1/4 ( x - 4)

4 ( y-1) = -1(x-4)

4y- 4 = -1x +4

4y - 4 -4 = -1x

4y -8= -1x

4y + 1x -8 = 0

this is the equation.

thanks and good luck.

6 0
3 years ago
The range of values for the sample mean that fall within 1 standard error of the mean in a sampling distribution is M39 to M43.
marusya05 [52]

The question is incomplete! The complete question along with answer and explanation is provided below.

Question:

The range of values for the sample mean that fall within 1 standard error of the mean in a sampling distribution is M = 39 to M = 43. What Is the mean of the sampling distribution, and what is the standard error

a) mean = 41, standard error = 2

b) mean = 39 or 43, standard error = 2

c) mean = 41, standard error = 4

e) the mean and standard error are unknowns

Given Information:  

Standard error = 1

Range of values = 39 to 43

Required Information:  

Mean and standard error = ?

Answer:

Mean is 41 and Standard error is 2

Explanation:

We know that the mean and standard error are related as

s = μ + (1)ο

s = μ - (1)ο

43 = μ + (1)ο

39 = μ - (1)ο

option (a) satisfies the above equations

43 = 41 + (1)2

43 = 43

39 = 41 - (1)2

39 = 39

Therefore, the correct option is (a)

Mean is 41 and standard error is 2

5 0
3 years ago
What is 4(-2)+(-3)(-5)?
Svetlanka [38]
I say that the answer is 7 bc it’s -8+15
8 0
2 years ago
Read 2 more answers
Find d for the arithmetic series with S17=-170 and a1=2
Irina18 [472]
So, we know the sum of the first 17 terms is -170, thus S₁₇ = -170, and we also know the first term is 2, well

\bf \textit{ sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
n=17\\
S_{17}=-170\\
a_1=2
\end{cases}
\\\\\\
-170=\cfrac{17(2+a_{17})}{2}\implies \cfrac{-170}{17}=\cfrac{(2+a_{17})}{2}
\\\\\\
-10=\cfrac{(2+a_{17})}{2}\implies -20=2+a_{17}\implies -22=a_{17}

well, since the 17th term is that much, let's check what "d" is then anyway,

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=17\\
a_{17}=-22\\
a_1=2
\end{cases}
\\\\\\
-22=2+(17-1)d\implies -22=2+16d\implies -24=16d
\\\\\\
\cfrac{-24}{16}=d\implies -\cfrac{3}{2}=d
6 0
3 years ago
Nut Mix Michael and Kevin return to the candy store, but this time they want to purchase nuts. They can't decide among peanuts,
Harrizon [31]
2.5x1.30=3.25
4x4.50=18
2x3.75=7.5
3.25+18+7.5=$28.75 total price
2.5+4+2=8.5lb. total weight
28.75/8.5= 3.38 dollars per pound.
8 0
3 years ago
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