the two-way table shows how some students get their news
how many students were surveyed ​

Answer:

-24 = -0.6k

k=-24/-0.6

k=40

Let me know if this helps!

Answer:

x = 4

Step-by-step explanation:

as it is parallelogram opposite sides are equal

so14x -7= 10x-9

14x-7+9=10x

14x -16 = 10x

14x -10x = 16

4x =16

x = 16/4

x = 4

also u can put x = 4 in both expressions and u will get answer of both 49

Answer0-4

Step-by-step explanation:

Answer:

(x- 2.5)

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation: Trust me you aint gonna get it wrong i promise

Answer:

64 pizzas

Step-by-step explanation:

Answer: 3.19 feet.

Step-by-step explanation: 319 divided by 100 is 3.19

Answer:

translation

Step-by-step explanation:

Answer:

one, x = 7

Step-by-step explanation:

7(x - 2) + 5 = 3 (2x - 1) + 1

reduce:

7x - 14 + 5 = 6x - 3 + 1

x = 7

Answer:

7/26

Step-by-step explanation:

First, find the probability of pulling out a big marble.

Since there are 7 big marbles, and 26 in total, the probability is 7/26

Now, find the probability of pulling out a small marble after the replacement.

There are 6 small marbles and 26 in total, so the probability is 6/26. This can be simplified by dividing each side by 2. This will get you 3/13

To find the probability of both of these happening, multiply the probabilities by each other:

(7/26) x (3/13)

= 7/26

So, the probability is 7/26

Answer:

[tex]\boxed{\text{\sf \Large 3}}[/tex]

Step-by-step explanation:

Angles in a triangle add up to 180°

[tex]180-(24x+3+25x)[/tex]

[tex]-49x+177[/tex]

Angles on a straight line add up to 180°

[tex]-49x+177+150=180[/tex]

[tex]x=3[/tex]

Answer:

So you have a scale

you multiply: 8×(3/4)

And your x= 6

Answer: c

Step-by-step explanation:

Solution by substitution method

-2x+y=-5

2x-y=5

and 3x-2y=12

Suppose,

2x-y=5→(1)

and 3x-2y=12→(2)

Taking equation (1), we have

2x-y=5

⇒y=2x-5→(3)

 Putting y=2x-5 in equation (2), we get

3x-2y=12

3x-2(2x-5)=12

⇒3x-4x+10=12

⇒-x+10=12

⇒-x=12-10

⇒-x=2

⇒x=-2→(4)

Now, Putting x=-2 in equation (3), we get

y=2x-5

⇒y=2(-2)-5

⇒y=-4-5

⇒y= -9

∴y=-9andx=-2

Answer:

Step-by-step explanation:

The systems of linear equations that have no solution are:

a)

x + y + z = 1,100

x - 2y - z = -500

2x + 3y + 2z = 2,600

b)

x + y + z = 2,400

2x - 2y + 2z = 700

x + 3y + z = 2,400

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To determine which systems of linear equations have no solution, we need to check whether the system is inconsistent, i.e., there are no values of x, y, and z that satisfy all the equations simultaneously.

One way to check this is to use row reduction to put the system into row echelon form or reduced row echelon form and see if we obtain any contradictory equations.

Another way is to use determinants, but we'll use row reduction here.

a)

| 1 1 1 | 1,100 |

| 1 -2 -1 | -500 |

| 2 3 2 | 2,600 |

R2 = R2 - R1 and R3 = R3 - 2R1:

| 1 1 1 | 1,100 |

| 0 -3 -2 | -1,600 |

| 0 1 -1 | -1,800 |

R2 = -1/3 R2 and R3 = R3 + R2:

| 1 1 1 | 1,100 |

| 0 1/3 2/3 | 533.33|

| 0 0 1/3 | -933.33|

Now, we can solve for z in the last equation:

z = -2800

Substituting into the second equation gives:

y = 2666.67

But substituting into the first equation gives:

x = -566.67

So, this system has no solution.

b)

| 1 1 1 | 1,500 |

| 1 -1 -1 | -500 |

| 2 1 1 | 2,000 |

R2 = R2 - R1 and R3 = R3 - 2R1:

| 1 1 1 | 1,500 |

| 0 -2 -2 | -2,000 |

| 0 -1 -1 | -1,000 |

R2 = -1/2 R2 and R3 = R3 - 1/2 R2:

| 1 1 1 | 1,500 |

| 0 1 1 | 1,000 |

| 0 0 -1 | -500 |

Now, we can solve for z in the last equation:

z = 500

Substituting into the second equation gives:

y = 500

But substituting into the first equation gives:

x = 500

So, this system has a unique solution.

c)

| 1 1 1 | 1,400 |

| 1 -2 -1 | -500 |

| 2 2 2 | 2,700 |

R2 = R2 - R1 and R3 = R3 - 2R1:

| 1 1 1 | 1,400 |

| 0 -3 -2 | -900 |

| 0 0 0 | 0 |

The last row of the augmented matrix corresponds to the equation 0x + 0y + 0z = 0, which is always true.

Therefore, this equation is not contradictory and doesn't add any new information to the system.

We can eliminate it and rewrite the system as:

| 1 1 1 | 1,400 |

| 0 -3 -2 | -900 |

R2 = -1/3 R2:

| 1 1 1 | 1,400 |

| 0 1 2/3 | 300 |

R1 = R1 - R2:

| 1 0 1/3 | 1,100 |

| 0 1 2/3 | 300 |

Now, we can solve for z in the first equation:

z = 3,300

Substituting into the second equation gives:

y = -1,200

But substituting into the first equation gives:

x = -2,200

So, this system has a unique solution.

d)

| 1 1 1 | 1,400 |

|-0.5 -0.5 -0.5 | -900 |

| 2 3 2 | 3,000 |

R2 = 2R1 + R2 and R3 = -4R1 + R3:

| 1 1 1 | 1,400 |

| 0 1/2 1/2 | -100 |

| 0 -1 -2 | -3,600 |

R3 = -2R2 + R3:

| 1 1 1 | 1,400 |

| 0 1/2 1/2 | -100 |

| 0 0 -3 | -3,400 |

Now, we can solve for z in the last equation:

z = 1,133.33

Substituting into the second equation gives:

y = -1,066.67

But substituting into the first equation gives:

x = 2,333.33

So, this system has a unique solution.

e)

| 1 1 1 | 1,900 |

| 1 -1 -2 | -2,000 |

| 2 2 1 | 1,100 |

R2 = R2 - R1 and R3 = R3 - 2R1:

| 1 1 1 | 1,900 |

| 0 -2 -3 | -3,900 |

| 0 0 -3 | -4,100 |

Now, we can solve for z in the last equation:

z = 1,366.67

Substituting into the second equation gives:

y = -1,033.33

But substituting into the first equation gives:

x = 1,667

So, this system has a unique solution.

f)

| 1 1 1 | 2,400 |

| 2 -2 2 | 700 |

| 1 3 1 | 2,400 |

R2 = R2 - 2R1 and R3 = R3 - R1:

| 1 1 1 | 2,400 |

| 0 -4 0 | -1,100 |

| 0 2 0 | 1,000 |

R2 = -1/4 R2 and R3 = 1/2 R3:

| 1 1 1 | 2,400 |

| 0 1 0 | 275 |

| 0 1 0 | 500 |

R3 = R3 - R2:

| 1 1 1 | 2,400 |

| 0 1 0 | 275 |

| 0 0 0 | 225 |

The last equation shows that 0x + 0y + 0z = 225, which is impossible. Therefore, this system has no solution.

Thus,

The systems of linear equations that have no solution are:

a)

x + y + z = 1,100

x - 2y - z = -500

2x + 3y + 2z = 2,600

b)

x + y + z = 2,400

2x - 2y + 2z = 700

x + 3y + z = 2,400

Learn more about solutions of equations here:

https://brainly.com/question/545403

#SPJ7

Answer:

y₂ = 3

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - [tex]\frac{3}{4}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (7, - 6) and (x₂, y₂ ) = (- 5, y₂ )

m = [tex]\frac{y_{2}+6 }{-5-7}[/tex] , that is

[tex]\frac{y_{2}+6 }{-12}[/tex] = - [tex]\frac{3}{4}[/tex] ( cross- multiply )

4(y₂ + 6) = 36 ( divide both sides by 4 )

y₂ + 6 = 9 ( subtract 6 from both sides )

y₂ = 3

Answer:

Step-by-step explanation:

The first step is usually to isolate the x term. You have -4x - ⅖ on the lefthand side of the equation. You want to remove the -⅖ so the -4x is alone.

Add ⅖ to both sides:

-4x > ⅖ + 5/10

Answer:

20

Step-by-step explanation:

Answer: Im not 100% sure but I would say (1,3)

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Evaluate log64 1/16. Write an equation in logarithmic form. log64 1/16 = x. Convert the equation to exponential form 1/16 = 64

but maybe b

Step-by-step explanation:

Answer:

-3 + 2 i

Step-by-step explanation:

Answer:Yes

Step-by-step explanation:

Answer:

The equation is y = 1. Therefore, the slope is undefined.

Answer:

A you multiply them all together

Answer:

I believe the answer is x + 3

Step-by-step explanation:

[tex]{ \large{ \sf{w = \dfrac {\cancel{(x + 5)}(x + 3)}{ \cancel{x + 5}} }}}[/tex]

Answer:

b = [tex]\frac{3a-8}{4}[/tex]

Step-by-step explanation:

Given

3a - 7 = 4b + 1 ( subtract 1 from both sides )

3a - 8 = 4b ( divide both sides by 4 )

[tex]\frac{3a-8}{4}[/tex] = b

Slide curve together,if it look like a happy face

Happy = positive/a>1

Slide curve together, if it look like a sad face

Sad = negative/a<1