Please help me find the slope and y-intercept of this equation. And please tell me if it is proportional or not. THANK YOU!

Answer: x=10

Step-by-step explanation: A straight line is equal to 180 degrees, meaning that the sum of all angles is supplementary to 180 degrees. This can be written as 3x+88+x+36+2x-4=180. Adding like terms, it is simplified to 6x+120=180. Subtract 120 on both sides getting you 6x=60. Then divide; x=10

Answer:

y = - [tex]\frac{2}{3}[/tex] x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = 24 ( subtract 2x from both sides )

3y = - 2x + 24 ( divide all terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x + 8 ← in slope- intercept form

The equation 2x+3y=24 in the slope-intercept form can be written as [tex]y = -\frac{2}{3}x+8[/tex]

From the question,

We are to write the given equation in the slope-intercept form

The slope-intercept form of an equation of straight line is written as

y = mx +c

To write the equation, 2x+3y=24, in the slope-intercept form, we will make y the subject of the equation

[tex]2x+3y=24[/tex]

First, subtract 2x from both sides of the equation

That is,

[tex]2x -2x +3y = 24 -2x[/tex]

This becomes

[tex]3y = 24 -2x[/tex]

Now, divide both sides by 3

[tex]\frac{3y}{3} =\frac{24-2x}{3}[/tex]

∴ [tex]y = \frac{24}{3}-\frac{2x}{3}[/tex]

[tex]y = 8-\frac{2}{3}x[/tex]

In the slope-intercept form, we get

[tex]y = -\frac{2}{3}x+8[/tex]

Hence, the equation 2x+3y=24 in the slope-intercept form can be written as [tex]y = -\frac{2}{3}x+8[/tex]

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Answer:

23

Step-by-step explanation:

To get to 17 degrees, you need to add 6 to -6 to get to 0.

And to get to 17 from 0, you need to add 17.

So then you add 6 and 17 together.

6+17=23

Answer:

20 points

Step-by-step explanation:

If Jenny scored 3/5th of 50 points then:

Jenny = 3/5 × 50 = 30 points

If Hunter scored 1/5th of 50 points then:

Hunter = 1/5 × 50 = 10 points

Difference in points between Jenny and Hunter = 30 - 10 = 20 points

Answer:

32.202

Step-by-step explanation:

Answer:

115/12

HOPE IT IS THE ANS

Answer: 3

Step-by-step explanation:

Answer:

So a batch is 5/8

There are THREE 3/4th cups of flour in the cupboard.

So 3 three fourths so basically
3/4 * 3 = 9/4 or

3/4 + 3/4 + 3/4 = 9/4

9/4 and each batch is 5/8.
9/4 ÷ 5/8 = 72/20 or 3 1/10

3 batches of cookies.

Answer:

-1/3

step-by-step explanation:

-21=-39k+-24

39k = -24 + 21

39k = -3 (divide each side by 39)

k = -1/3

Answer:

The dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53

Step-by-step explanation:

The first step will be to find the diagonal of the rea life mural.

We can use Pythagoras' Theorem to do this.

Diagonal = [tex]\sqrt{15^2 +45^2 }[/tex] =47.43 feet.

Now we have the real-life diagonal, we will now relate the diagonal of the painting outside with the one on paper. We can do this by dividing the two diagonals.

This will be 47.43 / 6.3 units = 7.53.

The scale factor is 7.53

To get the dimensions of the length and the breadth on paper, we divide the outside dimensions by the scale factor.

This will be

Length = 15/ 7.53 = 1.992

Breadth = 45/7.53 = 5.976

Therefore, the dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53

Answer:

3 pounds and 8 ounces

Step-by-step explanation:

1 pound is 16 ounces, 1/2 pound is 8 ounces.

If you need further help, let me know!

-profparis

Answer:

42

Step-by-step explanation:

for one cup 28/12

for 18 cup,

(28/12)×18

=42

Answer:

20 games

Step-by-step explanation:

Given

Customers:

[tex]Rent = \$5[/tex] per game

Members:

[tex]Membership = \$50[/tex]

[tex]Rent = \$2.50[/tex] per game

Required

Determine number of games for both to be equal

Represent the number of games with g

For regular customers;

g games cost: [tex]5 * g[/tex]

For Members

g games cost: [tex]50 + 2.50 * g[/tex]

Equate both expressions:

[tex]5 * g = 50 + 2.50 * g[/tex]

[tex]5g = 50 + 2.5 g[/tex]

Collect like terms

[tex]5g -2.5g= 50[/tex]

[tex]2.5g= 50[/tex]

Solve for g

[tex]g = 50/2.5[/tex]

[tex]g = 20[/tex]

Answer:

$8 each

Step-by-step explanation:

We know Sally has $77 to spend. She bought 8 books, and was then left with $13. First, let's subtract 13 from 77 to see how much it cost in total.

77 - 13 = 64

Now, to find out how many each book cost, we have to divide the total amount by how many books Sally got.

64 / 8 = 8

Each book cost $8.

Answer:

Step-by-step explanation:

To get from - 3 degrees to 0 takes 3 degrees to do

To get from 0 degrees to 12 takes 12 degrees             Add

Total                                                   15 degrees.

Answer

The anwser is B

Step-by-step explanation:

I did this test as well earlier this year

Equation x=3 represents a line perpendicular to the x-axis. Therefore, the correct answer is option A.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

here, we have,

A) x=3

Graph the line using the slope and y-intercept, or two points.

Slope: Undefined

y-intercept: No y-intercept

The coordinate points are (3, 0) and (3, 1).

B) Graph the line using the slope and y-intercept, or two points.

Slope: 1

y-intercept: (0,0)

The coordinate points are (0, 0) and (1, 1)

C) x=y

Graph the line using the slope and y-intercept, or two points.

Slope: 1

y-intercept: (0,0)

The coordinate points are (0, 0) and (1, 1)

D) x=-3y

Graph the line using the slope and y-intercept, or two points.

Slope: -1/3

y-intercept: (0,0)

The coordinate points are (0, 0) and (-3, 1)

Therefore, option A is the correct answer.

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Answer:

Q1: No solutions

Q2: x=2, y=-2

Q3: x=1, y=4

Step-by-step explanation:

Q1: Found out 0y = 18 which is impossible therefore no solution.

Q2:

In the first equation: [tex]2x - 4y = 12[/tex]

Let's express x in terms of y by changing the subject. Follow my steps.

[tex]2x = 12+4y[/tex]

[tex]x = \frac{12+4y}{2}[/tex]

Now let's put the x above into the second equation: [tex]-14x-4y=-20[/tex]

It becomes: [tex]-14(\frac{12+4y}{2})-4y=-20[/tex]. Follow my steps.

[tex]-7(12+4y)=-20+4y[/tex]

[tex]-84-28y=-20+4y[/tex]

[tex]-32y=64[/tex]

[tex]y=-2[/tex]

Put y = -2 into the first equation:

[tex]2x-4(-2)=12[/tex]

[tex]2x+8=12[/tex]

[tex]2x=12-8[/tex]

[tex]2x=4[/tex]

[tex]x=2[/tex]

Q3:

Multiply the first equation by 3 and the second equation by 7, so that both are 21x.

1st equation:
[tex]3(7x-3y)=3(-5)[/tex]
[tex]21x-9y=-15[/tex]

2nd equation:

[tex]7(3x+2y) = 7(11)[/tex]

[tex]21x+14y = 77[/tex]

We can now substract the 2nd equation with the 1st equation so that both 21x cancels out and only the variable y remains.

[tex]21x-9y-(21x+14y)=-15-77[/tex]

[tex]21x-9y-21x-14y=-92[/tex]

[tex]-23y=-92[/tex]

[tex]y=4[/tex]

Put y = 4 into the second equation to find x.

[tex]3x+2(4)=11[/tex]

[tex]3x+8=11[/tex]

[tex]3x=11-8[/tex]

[tex]3x = 3[/tex]

[tex]x=1[/tex]

Answer:

[tex]Speed = \frac{38}{3}km/hr[/tex]

Step-by-step explanation:

Given

[tex]Distance = 3\frac{1}{6}km[/tex]

[tex]Time = \frac{1}{4}hr[/tex]

Required

Determine the average speed

Average speed is calculated as thus;

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]Speed = 3\frac{1}{6}/\frac{1}{4}[/tex]

[tex]Speed = 3\frac{1}{6} * \frac{4}{1}[/tex]

Convert Mixed Fraction to Improper fraction

[tex]Speed = \frac{19}{6} * \frac{4}{1}[/tex]

[tex]Speed = \frac{19 * 4}{6 * 1}[/tex]

[tex]Speed = \frac{76}{6}[/tex]

Divide both sides of the fraction by 2

[tex]Speed = \frac{38}{3}[/tex]

Hence:

The speed is:

[tex]Speed = \frac{38}{3}km/hr[/tex]

Answer:

38/3

Step-by-step explanation:

Answer:

i believe its 1200

Step-by-step explanation:

Each time x goes up by 3, y goes up by 2. The rate of change is constant.

slope = (change in y)/(change in x) = 2/3

y intercept = 6 since this is where x = 0

The equation of this line is y = (2/3)x+6

Answer:

Linear, The rate of change is constant.

Step-by-step explanation:

-3 + 3 = 0

0 + 3 = 3

So x is constant

4 + 2 = 6

6 + 2 =8

So y is constant

Answer:

Step-by-step explanation:

Simplify the following (12+7)-(2-23)

(12 + 7) - (2 - 23) =

19 - (-21) =

19 + 21 =

40

Answer:

I think it would be thirty

The sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The statement that is given to us is" the sum of forty-five and a number", therefore, the expression that will represent this can be written as,

45 + n,

Now, if the value of n is 1.1. Then the sum will be,

[tex]45+n\\\\=45+1.1\\\\=46.1[/tex]

Hence, the sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1

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Answer:

Step-by-step explanation:

total surface area = 584 m2

lateral surface area = 504 m2

top surface area = 40 m2

bottom surface area = 40 m2

Given tangent, ZN, to the circle and the arc [tex]\widehat{ZMB}[/tex] = 280°, we have that

the angle formed by the chord BZ and the tangent ZN, ∠BZN is 50°

The given parameters are;

A tangent to the circle O = ZN

[tex]m \widehat{ZMB}} = \mathbf{280^{\circ}}[/tex]

Required:

Angle ∠BZN

Solution;

Please find attached the drawing of the circle and tangent

From the drawing, we have;

∠BOZ = 360° - 280° = 80°

ΔBOZ is an isosceles triangle, which gives;

∠BZO = ∠ZBO

[tex]\angle BZO = \dfrac{(180^{\circ}- 80^{\circ}) }{2} = \mathbf{50^{\circ}}[/tex]

∠OZN = 90° (by definition of a tangent)

∠OZN = ∠BZO + ∠BZN

∠BZN = ∠OZN - ∠BZO

Which gives;

∠BZN = 90° - 40° = 50°

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This answer would be (55/9, ∞)