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kolbaska11 [484]
3 years ago
12

At what value of x do the graphs of the equation below intersect ? 2x-y=6 5x+10y=-10

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

Answer:

x = 2

Step-by-step explanation:

Solve the two equations simultaneously....whereby you substitute y = 2x - 6 from the above equation into the second equation...

where...; 5x + 10(2x - 6) = -10

5x + 20x - 60 = -10...then move the variables with x to one side...

5x + 20x = -10 + 60

25x = 50

;Therefore...the value of x at intersection point = 2

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shepuryov [24]

The initial cost is $12 to enter.

Each ticket is $.50

we want to find out how much it costs for 70 tickets so we multiply the cost by the amount;

70 x .50 = 35

Therefor including the entry fee, it would cost $35 + $12

Which is $47

I hope this helps! :)

7 0
3 years ago
The coordinates of the vertices of a polygon are (−2, −2) , (−2, 3) , (2, 4) , (3, 1) , and (0, −2) .
mina [271]

Step-by-step explanation:

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8 0
4 years ago
See attachment for the whole question.
KengaRu [80]

Using probability concepts, it is found that:

a) \frac{4}{13} probability of drawing a card below a 6.

b) \frac{4}{9} odds of drawing a card below a 6.

c) We should expect to draw a card below 6 about 4 times out of 13 attempts, which as an odd, it also 4 times for every 9 times we draw a card above 6, which is the third option.

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

  • A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.

Item a:

  • In a standard deck, there are 52 cards.
  • There are 4 types of cards, each numbered 1 to 13. Thus, 4 \times 5 = 20 are less than 6.

Then:

p = \frac{20}{52} = \frac{4}{13}

\frac{4}{13} probability of drawing a card below a 6.

Item b:

  • Converting from probability to odd, it is:

\frac{4}{13 - 4} = \frac{4}{9}

\frac{4}{9} odds of drawing a card below a 6.

Item c:

  • The law of large numbers states that with a <u>large number of trials, the percentage of each outcome is close to it's theoretical probability.</u>
  • Thus, we should expect to draw a card below 6 about 4 times out of 13 attempts, which as an odd, it also 4 times for every 9 times we draw a card above 6, which is the third option.

A similar problem is given at brainly.com/question/24233657

7 0
3 years ago
Find the requested values pleasee and also what m
zheka24 [161]
Total of angles in 180 so:
46+90+8x+4=180
8x=40
x=5
7 0
3 years ago
Liquid A and liquid B are mixed to make liquid C.
natta225 [31]

Answer:

Density is defined as:

Density = mass/volume.

We know that:

For liquid A:

Density = 70kg/m^3

Mass = 1400kg

Then the volume is:

Volume = mass/density = (1400kg)/(70kg/m^3) = 20 m^3

For liquid B:

Density = 280 kg/m^3

Volume = 30m^3

We can find the mass of liquid B as:

mass = density*volume = (280kg/m^3)*(30m^3) = 8400 kg

We know that liquid C is a mixture of liquid A and B.

Then the mass of liquid C will be equal to the sum of the masses of liquid A and B, then:

Mass of liquid C = 1400kg + 8400kg = 9800kg

The same happens for the volume, then:

Volume of liquid C = 30m^3 + 20m^3 = 50m^3

Then the density of liquid C is:

Density of liquid C = (9800kg)/(50m^3) = 196 kg/m^3

6 0
3 years ago
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