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DiKsa [7]
3 years ago
8

Y=6x – 11 -2x – 3y =-7

Mathematics
1 answer:
Eva8 [605]3 years ago
4 0

Answer:

x=2   and   y=1

Step-by-step explanation:

1). Plug the y value into the second equation. It will look like the following afte you plug in what y equals:

              -2x-3(6x-11)=-7

2). Then, you distribute the "-3" to all the terms inside the parenthesis.

              -2x-18x+33=7

3). Then, you subtract the positive 33 from both sides to try to get the x alone on one side.

              -2x-18x=-40

4.) Then, you combine all of the terms containing an x.

              -20x=-40

5). Finally, you divide both sides by -20 and the outcome is x=2.

6).  Hold up...we ain't done yet..

7).  Next, you have to plug the x back into the either equation to get the outcome of what y will be, but for this purpose I will plug it back into the first equation.

              y=6(2)-11

8). I will then distribute the 6 into the all the terms in the parenthesis and then it will look like this.

              y= 12-11

9). Do the math...and the answer is y=1.

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During a blizzard it snowed 5 and 8/10in after a week the sun had melted 3 and 1/2 inches of snow how many inches of snow is lef
WITCHER [35]

2\frac{3}{10} inches of snow is left

<em><u>Solution:</u></em>

Given that,

From given,

Original\ amount\ of\ snow = 5\frac{8}{10}\ inches = \frac{10 \times 5 + 8}{10} = \frac{58}{10}\ inches

Sun\ melted = 3\frac{1}{2}\ inches = \frac{2 \times 3 + 1}{2} = \frac{7}{2}\ inches

<em><u>how many inches of snow is left</u></em>

Snow left = original amount of snow - sun melted

Snow\ left = \frac{58}{10} - \frac{7}{2}\\\\Snow\ left = \frac{58}{10} - \frac{7 \times 5}{2 \times 5}\\\\Snow\ left = \frac{58}{10} - \frac{35}{10}\\\\Snow\ left = \frac{58 - 35}{10}\\\\Snow\ left = \frac{23}{10}\\\\\In\ mixed\ fractions\\\\Snow\ left = 2\frac{3}{10}

Thus 2\frac{3}{10} inches of snow is left

3 0
2 years ago
I need answer Immediately pls!!!!!!
Illusion [34]

Given:

Total number of students = 27

Students who play basketball = 7

Student who play baseball = 18

Students who play neither sports = 7

To find:

The probability the student chosen at randomly from the class plays both basketball and base ball.

Solution:

Let the following events,

A : Student plays basketball

B : Student plays baseball

U : Union set or all students.

Then according to given information,

n(U)=27

n(A)=7

n(B)=18

n(A'\cap B')=7

We know that,

n(A\cup B)=n(U)-n(A'\cap B')

n(A\cup B)=27-7

n(A\cup B)=20

Now,

n(A\cup B)=n(A)+n(B)-n(A\cap B)

20=7+18-n(A\cap B)

n(A\cap B)=7+18-20

n(A\cap B)=25-20

n(A\cap B)=5

It means, the number of students who play both sports is 5.

The probability the student chosen at randomly from the class plays both basketball and base ball is

\text{Probability}=\dfrac{\text{Number of students who play both sports}}{\text{Total number of students}}

\text{Probability}=\dfrac{5}{27}

Therefore, the required probability is \dfrac{5}{27}.

3 0
2 years ago
Place labels on the coordinate plane below.
Nuetrik [128]

Answer:

the x-axis is the middle horizontal line

the y-axis in the middle vertical line

the origin is (0,0) or where the x and y-axis cross

in the upper left quadrant the x-axis is negative and the y-axis is positive.

in the upper right quadrant the x-axis is positive and so is the y.

in the lower left quadrant both the x and y-axis is negative.

in the lower right quadrant the x-axis is positive and the y-axis is negative.

8 0
2 years ago
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What is the importance of mathematical sentences?
ser-zykov [4K]

Answer:

A mathematical sentence makes a statement about two expressions.

Step-by-step explanation:

8 0
2 years ago
PLEASE I NEED HELP I HAVE NO IDEA WHAT THE ANSWERS ARE
Ivenika [448]

Answer:

Sector AOB: 3.87

Sector BOC: 7.74

Sector COD: 5.16

Sector DOE: 3.01

Sector AOE: 11.19

Explanation:

Equation used: S=\frac{r^2*a}{2}

4 0
2 years ago
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