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3 years ago

3.Solve the system of equations: X-4y=-22 x+4y=10

Mathematics

1 answer:

laila [671]3 years ago

6 0

Answer:

-0.5

Step-by-step explanation:

Use the simultaneous equations method:

x - 4y = 6

3x + 4y = 10

Add these two equations together to cancel out 'y':

4x = 16

Divide both sides by 4:

x = 4

substitute this value into one of the equations:

(4) - 4y = 6

Subtract 4 from both sides:

- 4y = 2

Divide both sides by -4:

y = -0.5

goodluck!

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diamong [38]

It is the equation in the simplest form

6 0

3 years ago

PLEASE help. Thank you !!

Black_prince [1.1K]

Answer:

9 white ribbons were awarded

Step-by-step explanation:

make white x

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b=x-1

r=x+3

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add them up

x-1+x+3+x=29

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6 0

3 years ago

the length of a soccer pitch is 20 m less than twice its width. the area of the pitch is 6000m^2. find its dimensions.

Setler79 [48]

X=width of a coccer pitch
2x-20=length of a soccer pitch
Area (rectangule)=length x width
We suggest this equation:
x(2x-20)=6000
2x²-20x=6000
2x²-20x-6000=0
x²-10x-3000=0
We solve this quadratic equation:

x=[10⁺₋√(100-4*1*-3000)]/2=[10⁺₋√(100+12000)]/2=
=(10⁺₋110)/2
we have two solutions:
x₁=(10-110)/2=-50, invalid solution.
x₂=(10+110)/2=60

x=60
2x-20=2(60)-20=120-20=100

Solution: the length is 100 m, and the width is 60 m.

To check:
Area=100 m*60 m=6000 m²
The twice of width is =2(60 m)=120 m,
20 m less than twice its width is: 120 m-20 m=100 m=the length.

8 0

3 years ago

In a certain lottery, an urn contains balls numbered 1 to 26. From this urn, 6 balls are chosen randomly, without replacement

expeople1 [14]

Answer:

\frac{1}{230230}

Step-by-step explanation:

Given that in a certain lottery, an urn contains balls numbered 1 to 26

From this urn, 6 balls are chosen randomly, without replacement.

Bet amount 1 dollar and he selects a set of six numbers.

If these match with those chosen from the urn he wins (order does not matter)

Total ways of choosing 6 out of 26 = $26C6 = \frac{26!}{20!6!} \\=230230$

The way he selects = 1

Hence probability of winning = $\frac{1}{230230}$

with one ticket

4 0

3 years ago

Jasmine Is organizing a carnival with games Booths she needs three volunteers per booth there are 16 booth if 62 people signed u

mr_godi [17]

14 volunteers will not be able to help.

Step-by-step explanation:

According to given statement;

One booth requires 3 Volunteers.

No. of booths = 16

Given number of volunteers = 62

We will multiply total number of booths with 3 to find the number of volunteers required.

Volunteers required = No. of booths x 3

Volunteers required = $16*3\\$

Volunteers required = 48

Subtract the required volunteers from total volunteers;

$62-48=14$

14 volunteers will not be able to help.

Keywords: Subtraction, Multiplication.

Learn more about subtraction at:

#LearnwithBrainly

4 0

3 years ago

3.Solve the system of equations: X-4y=-22 x+4y=10​

3.Solve the system of equations: X-4y=-22 x+4y=10