1.) Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

2.) Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

3.) Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Answer:

1. Yes;   2. Yes ;     3. No;       4. Yes

Step-by-step explanation:

The proportion will have to be read the same way.  For example top Δ bottom  to the lower Δ bottom (locate in the same place)

14/21 = 6 /9     Yes  because the top Δ bottom to lower Δ bottom = top side to  

                         lower same side

13.5/21 = 9/ 14   Yes    because the same two sides to the same two sides in

                                     the lower Δ  

9/13.5 = 6 21      No   because top Δ side to lower Δ same location  but the

                                  second one top Δ side to the lower bottom

14 /6 =  21/6      Yes   because top Δ bottom to top side = lower Δ bottom to

                         lower side (in the same place)

Adding this so you can give the other dude the brailyist

Answer:

300

Step-by-step explanation:

Let x represent number of girls.

18 girls / 30 students

x girls / 500 students

18/30 = x/500

x = 18/30 x 500

x= 300 girls

Therefore there are approximately 300 girls in the school.

Answer:

$3800

Step-by-step explanation:

30 x 2 = 60

60 + 3 = one container

60 containers = 63 x 60

3780 + 20

3800

Answer:

80% is what he got on the test

Answer: the answer is 6.876

Step-by-step explanation:

7.15-0.274=6.876

7.500-0.274=6.876

I hope this helps.

BRAINEST PLEASE

Answer: You just need to count the shaded squares, and if half of the square is shaded, it counts as 1. Therefore, the area is 42 square units.

i'm sorry i can't answer because i can't see the marks but i would help if i could

Answer:

b = 115.4 feet

Step-by-step explanation:

b^2 = a^2 + c^2 - 2 (a)(b) x cos B

b^2 = 230^2 + 360^2 - 2(230)(360) x cos(38 degrees)

b^2 = 52,900 + 129,600 - 2(230)(360) x cos(38 degrees)

b^2 = 182,500 - 165,600 x cos(38 degrees)

b = [tex]\sqrt{(16,900)(cos(38)) }[/tex]

b = 115.4 feet

i hope this helps!! :)

Answer:

115.4 ft

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

The given value can be expressed as ~

in order:

y=6

y=16

y=26

y=31

Answer:

80 or 80.3

Step-by-step explanation:

You have to find what is 55% of 146

first set up your fractions. [tex]\frac{n}{146}[/tex] =[tex]\frac{55}{100}[/tex]

for the fraction on the left the denominator is the whole amount (146) and n is the unknown number

For the fraction on the right, the numerator is where the percent goes (55) and the denominator is always 100

Next you multiply using the butterfly method

you multiply across. 146 x 55, which is 8030, and 100 x n, which is 100n,

Now divide 8030 by 100

All you have to do is move the decimal two places, since there are two zero's, and you get 80.3

When you round 80.3 you get 80

hope this helps :)

[tex]x^2 +5x -14 =0\\\\\implies x^2 +7x -2x -14 =0\\\\\implies x(x+7) -2(x+7)=0\\\\\implies (x-2)(x+7) =0\\\\\implies x =2~~ \text{or}~~ x =-7[/tex]

Answer:

x = -7 and x = 2

Step-by-step explanation:

x ^ 2 + 5x - 14 = 0 can be factored as follows:  (x + 7)(x - 2).  Note how 7x - 2x = 5x.

Setting each factor = to 0 and solving for x, we get x = -7 and x = 2.

Answer: You cannot figure out the value without any measurements or tools for that matter.

Step-by-step explanation:

Im blue ba da de ba da da

Answer:

D (You got it right.)

Step-by-step explanation:

Whenever the sign is facing them we will always shade the top. Then we have to find the slope which in this case would be 3(the number that is being multiplied by x. Lastly is the sign does not have a line under it or an equal sign. it won't be a straight line it will have little gaps.

Answer:

The answer is I think the opened circled -> but I'm not 100% sure

Step-by-step explanation:

Answer: Rogun dam is 335m tall and Nurek dam is 300m tall

Step-by-step explanation:

I will use [tex]r[/tex] to represent the height of the Rogun dam and [tex]n[/tex] to represent the height of the Nurek dam.

The system of equations is as follows:

[tex]r+n=635[/tex]

[tex]r-n=35[/tex]

From the second equation, we can rearange it to be:

[tex]r=35+n[/tex]

Then take this new value of [tex]r[/tex] and plug it into our first equation to find [tex]n[/tex]

[tex](35+n)+n=635[/tex]

[tex]35+2n=635[/tex]

[tex]2n=600[/tex]

[tex]n=300[/tex]

This means that the Nurek dam is 300m tall, and the Rogun dam is 335m tall, found by pluggin the value into our first equation:

[tex]r+300=635[/tex]

[tex]r=335[/tex]

Answer:

Scalene Right

Step-by-step explanation:

Has a right angle and all sides are of different lengths

Answer:

  151434/358 = 423

Step-by-step explanation:

Every product with non-zero factors can be written as an equivalent division relation.

  a·b = c   ⇒   a = c/b

Here, we have 35.8 × 4.23 = 151.434. This can be written as the equivalent ...

  4.23 = 151.434/35.8

We can multiply this by 100 to get a division relation with a quotient of 423:

  423 = 15143.4/35.8

If we want, we can move the decimal points another place to the right to get ...

  151434/358 = 423

Answer:

7(2x - 3y)

Step-by-step explanation:

Take out what they both have, put it on the outside.

Put the rest on the inside.

Answer:

7 (2 x - 3y)

Step-by-step explanation:

Answer:

  (B)  26°

Step-by-step explanation:

The angle at A made by the radius and the tangent is 90°. The angle at O is the same as arc AB, 64°. The acute angles in a right triangle are complementary, so the angle at C is the complement of 64°.

∠ACB = 90° -64°

∠ACB = 26°

Answer:

1162 tickets will need to be sold

Step-by-step explanation:

8134 / 7 = 1,162

Answer:

y= 1/6x + 8

Step-by-step explanation:

[tex]\text{Given that,}\\\\x -6y = -48 \\\\\implies x +48 = 6y\\\\\implies y =\dfrac{x +48}6\\\\\implies y =\dfrac x6 + \dfrac{48} 6\\\\\implies y = \dfrac 16 x + 8\\\\\text{This is the slope-intercept form of the given equation(y =mx +b)}.[/tex]

Answer:

The value of -2 is LESS THAN the value of 1.5 because -2 lies to the LEFT of 0 and 1.5 lies to the RIGHT of 0 on the number line

Step-by-step explanation:

Answer:

y=-x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-6)/(3-(-2))

m=-5/(3+2)

m=-5/5

m=-1

y-y1=m(x-x1)

y-6=-1(x-(-2))

y-6=-(x+2)

y-6=-x-2

y=-x-2+6

y=-x+4

Step-by-step explanation:

y=-2(-6)-5

y=12-5

y=7

y=-2(-3)-5

y=6-5

y=1

y=-2(0)-5

y=-5

y=-2(3)-5

y=-6-5

y=-11

Answer:

£128.52

Step by step:

54,000 ÷ 1,000 = 54

54 * £2.38 = £128.52