The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there were
12,454 total votes, how many no votes were there?

Answer:

y = 4x - 6

Step-by-step explanation:

(1, -2) ; Slope (m) = 4

Equation of the line : y - y₁ = m(x - x₁)

y - [-2] = 4(x - 1)

y + 2 = 4x - 4

     y = 4x - 4 - 2

     y = 4x - 6

Answer:

A, B, and C

Step-by-step explanation:

The true statements are B, C and E.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given is a graph of the amount of water in a bathtub with respect to time.

A) This statement means that the slope of the line at 10 : 01 pm is smaller than that of at 10 : 14 pm.

The line is steeper at 10:01 pm than that at 10:14 pm. That is the tangent of the angle making with the x axis at 10:01 pm is higher than that at 10:14 pm.

So the tub is filling at a faster rate at 10:01 pm than at 10:14 pm.

B) At 10:06 pm, the amount of water is constant at 30 gallons. So this statement is correct.

C) The maximum amount of water in the tub was about 35 gallons is a correct statement since after that the tub was draining.

D) The amount of water in the tub stayed the same from 10:16 pm to 10:20 pm is not correct, since the water was draining during the time and thus, water was decreasing.

E) It took 4 minutes for the tub to drain. It is correct since the draining starts at 10:16 pm and ends at 10:20 pm.

Hence the correct statements are B, C and E.

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Answer:

first choice: y≥1/3 x+3 and 3x-y>2

Step-by-step explanation:

The system of linear inequalities is: [tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]

The equation of the orange line is calculated using:

[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]

This gives

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

[tex]y = \frac{- 1}{-3} \times (x -3) + 4[/tex]

[tex]y = \frac{1}{3} \times (x -3) + 4[/tex]

Open the bracket

[tex]y = \frac{1}{3}x -1 + 4[/tex]

[tex]y = \frac{1}{3}x + 3[/tex]

The inequality has a thick line, and the upper region is shaded.

So, the inequality is:

[tex]y \ge \frac{1}{3}x + 3[/tex]

The equation of the gray line is calculated using:

[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]

This gives

[tex]y = \frac{4- 1}{2-1} \times (x -1) + 1[/tex]

[tex]y = \frac{3}{1} \times (x -1) + 1[/tex]

[tex]y = 3 \times (x -1) + 1[/tex]

Open the bracket

[tex]y = 3x -3 + 1[/tex]

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

The inequality has a dotted line, and the right region is shaded.

So, the inequality is:

[tex]y < 3x -2[/tex]

Rewrite as:

[tex]3x -2 > y[/tex]

So, we have:

[tex]3x -y > 2[/tex]

Hence, the system of linear inequalities is:

[tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]

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Answer:

12

Step-by-step explanation:

hope it helps!!!! good luck!!!!

Answer:

12

Step-by-step explanation:

You take 16 divided 4 and get 4 then 3/4 is 4*3

Answer:

Expression for perimeter of triangle = 5x+8

Step-by-step explanation:

Given that:

Length of bottom of triangle = b = x

Length of other side = a = 3x + 5

Length of last side = c = x + 3

Perimeter of triangle = a + b + c

Perimeter = (3x+5)+x+(x+3)

Perimeter = 3x+5+x+x+3

Perimeter = 5x + 8

Hence,

Expression for perimeter of triangle = 5x+8

Answer:

11371.4

Step-by-step explanation:

delta math

The length of n is 11373.1 inches

For given example,

As we know for ΔNOP,

[tex]\frac{n}{sinN}=\frac{0}{sinO}=\frac{p}{sinP}[/tex]

We know that the sum of all angle of triangle is 180°

For ΔNOP,

⇒ ∠N +∠O + P = 180°

⇒ 16° + ∠O + 163° = 180°

⇒ ∠O = 180 - 179

⇒ ∠O = 1°

The length of n is,

[tex]\frac{n}{sinN}=\frac{0}{sin1}\\\\n(sin1)=0(sin16)\\\\0.01745(n)=720(0.27564)\\\\n=\frac{198.4608}{0.01745}\\\\n=11373.112\\\\n\approx 11373.1~in.[/tex]

Therefore, the length of n is 11373. 3 inches

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Answer:

the interest amount is $31.50

Step-by-step explanation:

700 multiplied by 0.045 =31.5

Answer:the common difference is 10

The answer is -20,-30,-40

Step-by-step explanation:

Hey there!

If d = 3 then substitute where “d” is at, now let’s work out the equation!

5(9 + 3) – 6

• DISTRIBUTE:

5(9) + 5(3)

5(9) = 45

5(3) = 15

• NEW EQUATION:

45 + 15 – 6

45 + 15 = 60

60 – 6 = 54

Answer: 54 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

SIDE NOTE:

You could use PEMDAS to solve this as well.

Here’s what it means ⬇️

• Parentheses

• Exponent

• Multiplication

• Division

• Addition

• Subtraction

Answer:

Hello, Your answer is Audio tapes/ CDS, Magazines and books

Sports equipment is something you Will Not find In the library.

Most librarys Do Not have VCR tapes

Hopes this helps

answer :

video tapes for your VCR

sports equipment

Answer:

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

from

[tex]y = mx + c[/tex]

Step-by-step explanation:

since the gradient of the line is 0

Answer:

exponential functions are always the quickest to grow

3^x

Step-by-step explanation:

Answer:

15.6145 meters squared

Step-by-step explanation:

multiply the 2 together

Answer:

15.6145

Step-by-step explanation:

Dilation means to increase the size of something.  We can see that the radius of the circle increases by five from circle one to circle two; therefore the rule applied is:

(x, y) -> (x + 5, y + 5)

Answer:

Step-by-step explanation:

i divide all by 4

=-(5z+6)=-5z-6

Answer:

(f + g)(3) = 9

Step-by-step explanation:

Given:

f(x) = x² + 1

g(x) = x - 4

Required:

(f + g)(3)

SOLUTION:

✔️Find f(3) by substituting x = 3 into f(x) = x² + 1:

f(3) = (3)² + 1 = 9 + 1

f(3) = 10

✔️Find g(3) by substituting x = 3 into g(x) = x - 4:

g(3) = 3 - 4

g(3) = -1

✔️Find (f + g)(3):

(f + g)(3) = f(3) + g(3)

= 10 + (-1)

= 10 - 1

(f + g)(3) = 9

Answer:

A dynamic rectangle is a right-angled, four-sided figure (a rectangle) with dynamic symmetry.

Step-by-step explanation:

Aspect ratio (width divided by height) is a distinguished value in dynamic symmetry, a proportioning system and natural design methodology described in Jay Hambidge's books.

Answer:

A dynamic rectangle is a right angled four sided with dynamic symmetry

Answer:

The answer should be $279 If im right if not sorry

Step-by-step explanation:

500 x 2.79% x 20 = 279

Answer:

6 because 6+15=21 and 21+6=27

Step-by-step explanation:

We have y = 9x - 70 and y = 2x - 32.

=> 9x - 70 = 2x - 32

=> 7x = 38

=> x = 38/7 which is around 5.43.

Answer:

Equations are :--- y = 9x – 70 and y = 2x – 32

Substituting the value of y, we get

[tex]9x - 70 = 2x - 32 \\ 7x = 38 \\ x = \frac{38}{7} \\ \boxed{x = 5.43} \\ y = 9x - 70 \\ y = 9( \frac{38}{7} ) - 70 \\ \boxed{ y = - 21.14}[/tex]

Answer:

6xpower 8 y power 7

Step-by-step explanation:

Answer:

i believe its 9 too

Step-by-step explanation:

Answer:

768

Step-by-step explanation:

a gallon = 128 fluid ounces so 6 gallons would be 768 fluid ounces

Answer:

Step-by-step explanation:

Answer:

f(x)=x

Step-by-step explanation:

if its on center (0,0) with no add on then its like that. if it was f(x)= x+2 it would be elevated by 2 points. hope this helps!

Answer: 4m

Step-by-step explanation:

20-16= 4

add units

20m - 16 m= 4m

Answer:

4x^2 + 7y^3 + 6xy

Step-by-step explanation:

2x^2+2y^3-6xy + 2x^2+5y^3+12xy

2x^2 + 2x^2 = 4x^2

2y^3 + 5y^3 = 7y^3

-6xy + 12xy = 6xy

the probability would be

1 in 6, 1/6, or 1:6

Step-by-step explanation:

3x-2 when x=4

3(4)-2

12-2

=10