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Stells [14]
3 years ago
8

Consider the following 8 numbers, where one labelled x is unknown.

Mathematics
1 answer:
drek231 [11]3 years ago
5 0

Answer:

x=-18 or x=67

Step-by-step explanation:

you can either make it so 48 remains the largest number and so take 66 from 48 (=-18) or you can leave one as the smallest number and add 66 to one(=67)

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Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost
Andre45 [30]

The number of advance tickets sold is 25 and same day tickets sold is 30.

Data Given;

  • Advance Ticket = $30
  • Same-day Ticket = $25
  • Total Ticket = $60
  • Total Cost of Ticket = $1625

<h3>System of Equations</h3>

Let the number of advance ticket be represented by x

Let the number of same-day ticket be represented by y

x + y = 60\\&#10;30x + 25y = 1625

From the system of equations above, we can easily pick any to start our calculation.

Using equation (i),

x + y = 60

x = 60 - y ...equation(iii)

Put equation (iii) into equation (ii)

30x + 25y = 1625\\&#10;x = 60 - y\\&#10;30(60 - y) + 25y = 1625\\&#10;1800 - 30y + 25y = 1625\\&#10;1800 -5y = 1625\\&#10;5y = 1800 - 1625\\&#10;5y = 175\\&#10;5y/5 = 175/5\\&#10;y = 35

Put the value of y into equation (i)

x+y = 60\\&#10;x + 35 = 60\\&#10;x = 60 - 35\\&#10;x = 25

From the calculation above, the number of advance tickets sold is 25 and same-day tickets is 30.

Learn more on system of equations here;

brainly.com/question/13729904

6 0
2 years ago
Find the missing values of the variables. The diagram is not to scale. (Image attached below)thank you ! :)
aniked [119]

Answer:

\begin{gathered} x=\text{ 99}\degree \\ y\text{ = 64}\degree \end{gathered}

Explanation:

Here, we want to get the value of x and y

From the given image, the angle y and 116 lie on a straight line

The sum of the angles on a straight line is 180 degrees

Thus:

\begin{gathered} 116\text{ + y = 180} \\ y\text{ =180-116} \\ y\text{ = 64}\degree \end{gathered}

The sum of the internal angles of a polygon can be calculated by the formula:

180(n-2)

where n is the number of sides the polygon has

In the case of the given question, n is 4

Substituting the value of n, we have it that:

180(4-2)\text{ = 360 degrees}

To get the value of x:

\begin{gathered} x\text{ + y + 125 + 72 = 360} \\ But\text{ from above , y = 64}\degree \\ Substituting\text{ this:} \\ x\text{ + 64 + 125 + 72 = 360} \\ x\text{ = 360-125-64-72} \\ x\text{ = 99 } \end{gathered}

4 0
1 year ago
To motorists leave from the same point at the same time, one traveling east at 36 MPH and the other traveling west at 44 MPH. Ho
Ber [7]
This is a very good question to know about. People who make tests really like it.

The way to solve it is to make the slower car stop and use the difference in speed = to the rate. then do it as an ordinary d = r*t problem.

The difference in speeds  is 44 - 36 = 8 miles/ hour.
d = 260 miles
r = 8 mph
t = ???

t = d/r
t = 260/8
t = 32.5 hours.

Thats 32 1/2 hours.
3 0
4 years ago
Simplify: (2x²y²) (-3xy³)<br>please no links and explain please. I need it fast​
Shtirlitz [24]

Step-by-step explanation:

Solution:

(6xy) × (-3x²y³)

= {6 × (-3)} × {xy × x²y³}

= -18x1+2 y1+3

= -18x³y⁴.

3 0
3 years ago
What is 1000 k = to but it has to be a gram .any get it cause I don't help me
denpristay [2]
You need to convert 1000kg to grams? There are 1000g\frac{1000g}{kg}
Now what you need to do is multiply the number of kg you have by your conversion fractions, making sure that grams is on top so you end up with grams in your answer:\frac{1000kg}{g} * \frac{1000g}{kg}

Kg cancel, and you are left with 1,000,000g
This means that there are 1,000,000g in 1000kg
Hope this helps!
5 0
3 years ago
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