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Step-by-step explanation:

to find the equation of a line having the slope use this formula:

[tex]y - yp = m(x - xp)[/tex]

in which:

- yp is the y of the point (so 4);

- m is the slope (so 5);

- xp is the x of the point (so -1)

so:

[tex]y - 4 = 5(x - ( - 1))[/tex]

[tex]y - 4 = 5x + 5[/tex]

[tex]y=5x + 5 + 4[/tex]

[tex]y = 5x + 9[/tex]

Answer

8/12=4/6=2/3

When simplifying, if both the numerator and the denominator are even you can just divide them by two

Answer:

Step-by-step explanation:

Find the missing angles:

Find x:

Answer:

Y = 40%

R or G = 25%

O = 0%

Step-by-step explanation:

Total M&M's = 7+2+3+8 = 20

PY = 8/20 = .4 or 40%

P(R or G) = (2+3)/20 = 5/20 = .25 = 25%

PO = 0/20 = 0%

Answer:

Step-by-step explanation:

The points are plotted and the figure is a parallelogram with base and height both of 3 units long.

The area is:

Answer:

r= 3% P=10k

using formula S=P(1+rt)

substitute 2 diff range time and it will form 2 equation. To find r u need to divide those 2 equation. after finding r u can find P by substitute the value of r in either one of those equation. hope it can helps you

Based on the cost of the adult tickets and the children's ticket, the expression that can find the amount raised is 8x + 3y.

Also if those number of tickets were sold, the amount realized would be $3,054.

The total amount raised can be found as:

= (Number of adult tickets x price of adult tickets) + (Number of children's tickets x price of children's tickets)

Assuming the adult tickets are x and the children's tickets are y, the equation would be:

= (x × 8) + (y × 3)

= 8x + 3y

If 240 adult tickets and 378 children's tickets are sold, the amount realized would be:

= 8x + 3y

= (8 x 240) + (3 x 378)

= $3,054

In conclusion, the relevant expression is 8x + 3y and the amount raised would be $3,054.

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Answer:

Have a splendiferous day...

Step-by-step explanation:

3÷12=¼

6÷10=⅗

7÷14=½

10÷11=⅚

2÷4=½

4÷16=¼

3÷24=⅛

18÷54=⅓

Answer:

1) 3÷12=[tex]\frac{1}{4}[/tex]

2) 6÷10=[tex]\frac{3}{5}[/tex]

3) 7÷14=[tex]\frac{1}{2}[/tex]

4) 10÷12=[tex]\frac{5}{6}[/tex]

5) 2÷4=[tex]\frac{1}{2}[/tex]

6) 4÷16=[tex]\frac{1}4[/tex]

7) 3÷24=[tex]\frac{1}{8}[/tex]

8) 18÷54=[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Hope this helps have a great day ahead! Have a great Halloween :) Tell me if im wrong please <3

Answer:

12x-2=60

Step-by-step explanation:

since there are 12 cookies per box, u could multiply it by x boxes, and since she kept 2 you would need to subtract it from your total.

Answer:

x = 5/2 or 2.5

Step-by-step explanation:

I solved this using simultaneous equations or system of equations

You times (1) by 2 so that the y's are the same

You add (3) and (2) instead of subtracting them because the sign in front of thr 2y's are different; adding them will eliminate them

Answer:

11x+11y-4

Step-by-step explanation:

9514 1404 393

Explanation:

Newton's second law relates force, mass, and acceleration. For the same acceleration, more force is required to change the motion of more mass.

(a) Any fitness routine where velocity changes are involved will be impacted by Newton's second law. A significantly overweight person would have to expend significantly more energy to achieve the same changes of motion in the same period of time.

(b) Any fitness routine in which changes of speed or direction at a specific rate are not required will not be impacted by Newton's second law. These might be Tai Chi routines, weight lifting, or any other routines in which speed of completing a cycle of motion is not a factor.

Answer:

[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]

Step-by-step explanation:

Firstly, divide all parts of the equation by 3:

[tex]3x^3 + 3x^2-36[/tex]

[tex]3(x^3 + x^2-12)[/tex]

Now focus on the equation:

[tex]x^3 + x^2-12[/tex]

We know that the equation can be factored using x so we know that (x +- unknown) is the factor. We need to find the easiest way to factor this, lets find the factors of 12:

1 12

2 6

3 4

1 and 12 won't work so let's try 2 and 6, initially start as a negative 2:

[tex]\frac{ x^3 + x^2 - 12}{x - 2}[/tex] = [tex]x^2 + 3x + 6[/tex]

We can confirm this is simplified by multiplying together:

[tex](x - 2) (x^2 + 3x + 6)[/tex]

[tex]x* x^2 = x^3\\x * 3x = 3x^2\\x * 6 = 6x\\-2 * x^2 = -2x^2\\-2 * 3x = 6x\\-2 * 6 = -12[/tex]

= [tex]x^3 + x^2 - 12[/tex]

Meaning it is simplified.

Now, put the equations together:

[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]

Hope this helps!

The probability that when a coin is tossed, the result is tails = 1/2

The probability that when a single six-sided die is rolled, the outcome is 1 = 1/6

The probability that when a six-sided die is rolled, the outcome is 13 = 0

Probability is simply how likely something is to happen.

A).

The probability that when a single six-sided die is rolled, the outcome is 1.

When a dice is thrown, sample space = {1, 2, 3, 4, 5, 6}

All six digits are equally likely to occur.

P (occurring 1) = 1/6

B).

The probability that when a six-sided die is rolled, the outcome is 13.

When a dice is thrown, sample space = {1, 2, 3, 4, 5, 6}

13 does not occur in the sample space.

P (occurring 13) = 0

C).

The probability that when a coin is tossed, the result is tails.

When a coin is thrown, sample space = {H, T}

Both head and tail are equally likely to occur.

P (tail) = 1/2

Learn more about probability here

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Answer:

skip count by 2 on was and skip count by 6 on the butter

Step-by-step explanation: 2x5=10 6x5=30

Answer:

$36 each

Step-by-step explanation:

she paid $96 during a sale for 4 rose bushes

96÷4=24

so $24 per rose bush during the sale

it said that each one was $12 less than the original price

so 24+12=36

Algebraic equations are equations that have coefficients and unknown variables in them.

The equation that you can use to find the amount "v" Festive features normally charges for a vest is: 12(v - 6) = 132

The current cost per vest was v - $6

Where v = Initial cost of the vest

The total cost of 12 vests after price reduction was:

$132.

Hence, our equation is given as:

$132 = 12(v - $6)

12(v - 6) = 132

$132 = 12v - 72

Add 72 to both sides

$132 + 72 = 12V

204 = 12v

v = 204/12

v = $17

Thus: The amount  v, Festive Features normally charges for a vest is $17

Therefore, the equation to find the amount Festive Features normally charges for a vest is 12(v - 6) = 132

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Answer:

y = x/4 + 1

Step-by-step explanation:

x - 4y = -4

x + 4 = 4y

y = x/4 + 1

Answer:

1

Step-by-step explanation:

change to y=mx+b -> 4y=-x+4

divide 4 one the right side

y=4x+1

put zero one place of x

y=4(0)+1

y=0+1

y=1

Answer:

the answer

1000000002

Answer:

24 by 113

Step-by-step explanation:

43 + 46 + 24 = 113

the % of people with both is 24%, thus the answer will be 24 by 113

Hope its correct and helps ya :)

Answer:

800

Step-by-step explanation:

Hope this helps

Answer:

800, if it's higher than 50 you can round it to the next hundred

The parabola crosses the x-axis at x = 1 and x = -3.

x - 1 = 0

x = 1

x + 3 = 0

x = -3

b = 3

Hope this helps!! :)

Answer:

103

Step-by-step explanation:

So the .4 in the tenths place is less than 5 it is rounded down/stays the same so its 103

Hope this helps!!

Have a nice day! :D

Answer:

0.75, 0.625, 0.5, 0.45

Step-by-step explanation:

Answer:

0.75, 0.625, 0.5, 0.45

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] {4x}^{2} - 16x + 12 = 0 \\ {4x}^{2} - 4x - 12x + 12 = 0 \\ 4x(x - 1) - 12(x - 1) = 0 \\ (4x - 12)(x - 1) = 0 \\ [/tex]

(4x - 12) = 0 or (x - 1) = 0

[tex](4x - 12) = 0 \\ 4x - 12 = 0 \\ 4x = 0 + 12 \\ 4x = 12 \\x = \frac{12}{4} \\ x = 3 \\ [/tex]

[tex](x - 1) = 0 \\ x - 1 = 0 \\ x = 0 + 1 \\ x = 1[/tex]

x = 3 or x = 1 should be.

Answer: I'm sorry, I dont really know but here are some notes to help you with this.

Step-by-step explanation:   https://www.hopewell.k12.pa.us/Downloads/Representing%20Proportional%20Relationship%20-%20NOTES%20COMPLETE2.pdf