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Akimi4 [234]
3 years ago
13

Need to show a 5 step problem on how to get the answer. Using x and y

Mathematics
1 answer:
ZanzabumX [31]3 years ago
4 0

Answer:   $5.64

<u>Step-by-step explanation:</u>

Let x represent 1 box of batteries

Let y represent 1 case of batteries

Given: 14x = 3y

Given: 158 = 14x + 3y

Use substitution: 158 = 14x + 14x

Simplify:                158 = 28x

Divide by 28:        5.64 = x

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(2x+4)^2 - (x-5)^2 = 26x<br> Please solve (explained)
Zina [86]

Expand the squared binomials:

(2x+4)^2=4x^2+16x+16

(x-5)^2=x^2-10x+25

Then

(4x^2+16x+16)-(x^2-10x+25)=3x^2+26x-9=26x

\implies3x^2-9=0

\implies3x^2=9

\implies x^2=3

\implies x=\pm\sqrt3

5 0
3 years ago
Here is a list of numbers: 13, 15, -6, 8, -16, 2, -12 ,3 ,-18 ,-18 state the median.
DiKsa [7]

The median of list of numbers is-2.

Given the list of numbers is 13,15,6,8,-16,2,-12,3,-18,-18.

The median is the median of a sorted list of numbers. To find the median of a sequence of numbers, the numbers must be sorted in order from lowest to highest or highest to lowest.

Firstly, we will arrange the number from ascending to descending, we get

-18,-18,-16,-12,-6,2,3,8,13,15.

Now, we will find the middle term of the sequence, we get

The middle terms are -6 and 2.

Further, we will find the median of it.

n=(-6+2)/2

n=-4/2

n=-2

Hence, the median of the list of numbers 13, 15, -6, 8, -16, 2, -12 ,3 ,-18 ,-18 is -2.

Learn more about median from here brainly.com/question/15796951

#SPJ4

7 0
2 years ago
. For the function given, state the starting point for a sample period:
Aneli [31]
I think the answer is π?
8 0
3 years ago
-The terminal side of the angle contains the following point. Find the values of the six trigonometric functions for the followi
bearhunter [10]

Answer: see attachments

<u>Step-by-step explanation:</u>

Use Pythagorean Theorem to find the missing side (x² + y² = h²)

Use the following formulas to find the trig functions:

sin\theta=\dfrac{y}{h}\qquad \qquad csc\theta=\dfrac{h}{y}\\\\\\cos\theta=\dfrac{x}{h}\qquad \qquad sec\theta=\dfrac{h}{x}\\\\\\tan\theta=\dfrac{y}{x}\qquad \qquad cot\theta=\dfrac{x}{y}

4 0
3 years ago
A movie theater runs its films continuously. One movie runs for 85 minutes and a second runs for 110 minutes. The theater has a
pantera1 [17]

Answer:

10:30PM on the next day

Step-by-step explanation:

First movie = 85mins

intermission = 5mins

  Total time = 90mins which is 1:30PM

so the first movie will start again at  1:30PM, which is at the interval of 90minutes and it will run continuously.

Similarly the second movie is 110 minutes long + 5mins intermission which is 115minutes

Time = 1:55PM

so the second movie starts again at 1:55PM and runs continuously at an interval of 115minutes.

We are interested to find when both the movie will start again at the same time, this will be least common multiple of 90 and 115.

LCM of 90,115 = 2070

Therefore after 2070minutes movie will start again at the same time.

2070mins = 34hours and 30 minutes

adding this with noon

10:30PM on the next day.

 

5 0
3 years ago
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