The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8. If there were 6600 no votes, what was the total number of votes?

Answers

Answer 1

Answer:

The total number of voters = 10725

Step-by-step explanation:

The total number of votes cast was 5 + 8

The no votes ratio is 8/ 13

This question is a a proportion question.

A proportion question is 2 ratios equal to other. Three of the parts of the ratios are known and you are asked to find the fourth. In this question the no votes are known to be 8 and the total is 13.

The total no votes = 6600. So the three parts are known are

no vote ratio = 8No vote number =6600total vote ratio part = 13You are asked to find the total number of voters.

8/13 = 6600/x               Cross multiply

8x = 13*6600                Combine the right.

8x = 85800                   Divide by 8

8x/8 = 85800/8            

x = 10725

The total number of voters = 10725


Related Questions

2/3 of the pizza was left over last night. Then, Marcy ate another 2/9 of it. How much is left over now?

Answers

Answer:

4/9 is left over.

Step-by-step explanation:

First make the denominators the same. 2/3=6/9. 6/9-2/9=4/9.

PLEASE HELP PLEASE HELP

Answers

Answer:

Acute angle

Step-by-step explanation:

Acute angle = less than 90 degrees

Answer:

acute angles

Step-by-step explanation:

Angles between 0 and 90 degrees (0°< θ <90°) are called acute angles. Angles between 90 and 180 degrees (90°< θ <180°) are known as obtuse angles. Angles that are 90 degrees (θ = 90°) are right angles.

if A varies direct as a square of R. Find the % increase in A if R is increase by 20%.​

Answers

Answer:

20%

Step-by-step explanation:

A=R^2

120/100

=1.2

1.2R= new value of R

original of R=R

A^1/2=R

change/origionalx100%

(1.2A^1/2-A^1/2)

-------------------- x 100%

A^1/2

A^1/2 (1.2-1)

--------------- x100%

A^1/2

0.2

---- x100

1

0.2x100

=20%

How many solutions does this system have?
y=-3x
-9x-4y = 21
one
two
an infinite number
no solution

Answers

This system have one solution.

A prize is divided in the ratio 5:1 if the larger share is £65 what is the total prize?

Answers

Answer:

£78

Step-by-step explanation:

65 divided by 5= £13

13+65=£78

Answer:

£78

Step-by-step explanation:

Let the total value be T.

£65/T = 5/(5 + 1)£65/T = 5/6T = 65 x 6 / 5T = 13 x 6T = £78

Find the product of 4+3i and its conjugate.the answer is a +bi where

Answers

The value of  a and b in the product of 4+3i  and its conjugate in the format a + bi are 25 and 0.

What is conjugate?

The conjugate is where we change the sign in the middle of two terms. For example:

3y + 1

conjugate of 3y + 1 is 3y - 1.

Therefore, the conjugate of 4 + 3i is 4 - 3i.

The product of 4 + 3i and its conjugate is as follows:

(4 + 3i)(4 - 3i) = 16 - 12i + 12i - 9(i)²

Therefore,

16 - 9i²

i² = -1

Hence,

16 - 9(-1) = 25

It can be written in the form a complex form → (25 + 0.i)

Therefore, a = 25 and b = 0.

learn more on conjugate here: https://brainly.com/question/20757260

What is the value of x?
Enter your answer in the box.
X =

Answers

Answer: x=20

Step-by-step explanation:

(6x-10)=(3x+50) (subtract both sides by 3x)

3x-10=50(add ten to both sides)

3x=60(divide both sides by 3)

x=20

Which expression is equivalent to 8(a+3)

Answers

Answer:

8a + 24

Step-by-step explanation:

Use Distributive property: a(b +c) = a*b + a*c

Here a = 8 ;  b= a & c = 3

8(a + 3) = 8*a + 8*3

            = 8a + 24

A cashier samples the transaction of every 10th person who goes though the line at a craft store out of 40 people, 32 used a coupon. If 750 people go to this store each day, how many people would you expect to use a coupon?

Answers

If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon

What is probability?

Probability is the likelihood of occurrance of an event. It is given by:

Probability = number of occurrence / total number of possible occurence

A cashier samples the transaction of every 10th person who goes though the line at a craft store out of 40 people, 32 used a coupon.

Probability of using coupon = 32/40 = 0.8

Hence if 750 people go to this store each day, number of people sampled = 75.

Number of people expected to use the coupon = 75 * 0.8 = 60

If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon

Find out more on probability at: https://brainly.com/question/24756209

5 2⁄5 - 3 7⁄10 = What is the correct answer if the answer is wrong I will come and haunt you

Answers

[tex] \mathsf\red{♧ANSWER♧}[/tex]

[tex] \mathsf \blue{5 \frac{2}{5} - 3 \frac{7}{10} }[/tex]

[tex] \blue \implies \mathsf \green{ \frac{27}{5} - \frac{37}{10} }[/tex]

[tex] \blue \implies \mathsf \green{2( \frac{27}{5} ) - \frac{37}{10} }[/tex]

[tex] \blue \implies \mathsf \green{ \frac{54}{10} - \frac{37}{10} }[/tex]

[tex] \blue \implies \mathsf \green{ \frac{17}{10} = 1 \frac{7}{10} = 1.7}[/tex]

Plsss helppp me find the slope and yint

Answers

Answer:

Y-Intercept: (0, -5)

Slope: 1/2

Explanation:

The y-int is when x = 0. The slope formula is (y2 - y1)/(x2 - x1) in which you use 2 points on the line.

Lin’s family needs to travel 325 miles to reach her grandmother’s house. At 377 miles, what percentage of the trip’s distance have they completed?

None of these answer this question and I cant get it anywhere else

Answers

Answer:

325/377×100= 116% it means they completed 116%of the trip

u( w f +u ) = m + j
solve for u : u=
solve for f :F=

Answers

[tex]\textbf{Solve for u:}\\\\u(wf+v)=m+j\\\\\implies u = \dfrac{m+j}{wf+v}\\\\\textbf{Solve for f:}\\\\u(wf+v) = m+j\\\\\implies uwf+uv = m+j\\\\\implies uwf = m+j-uv\\\\\implies f=\dfrac{m+j-uv}{uw}[/tex]

50 points!!

Solve |y + 2|>6

A. {y|y<-8 or y>4}

B. {y|y<-6 or y>6}

C. {y|y<-4 or y>4}

Answers

Answer:

[tex]y < -8[/tex]

[tex]y > 4[/tex]

Step-by-step explanation:

Absolute Value Inequality entered :

     |y+2|>6

Step by step solution :
Step 1: Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered

     |y+2| > 6

Step 2: Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |y+2|

For the Negative case we'll use -(y+2)

For the Positive case we'll use (y+2)

Step 3: Solve the Negative Case

     -(y+2) > 6

    Multiply

     -y-2 > 6

    Rearrange and Add up

     -y > 8

    Multiply both sides by (-1)

    Remember to flip the inequality sign

     y < -8

    Which is the solution for the Negative Case

Step 4: Solve the Positive Case

     (y+2) > 6

    Rearrange and Add up

     y > 4

    Which is the solution for the Positive Case

Step 5:

Wrap up the solution

 y < -8

 y > 4

Solutions in Interval Notation

   (-∞,-8)

   (4,+∞)

Solutions on the Number Line

 

Two solutions were found :

 y > 4

 y < -8

PLEASE HELP ME WITH THIS QUESTION

Answers

Answer:

The second option, 1,008 cm²

Step-by-step explanation:

   This shape has 5 sides to solve for with reguards to surface area.

   Let us solve for them all.

[1 & 2 - the triangles]

12 * 9 = 108 cm²

-> I am not going to divide since we have 2 congruent triangles

[3 - the bottom side]

25 * 12 = 300 cm²

[4 - the side facing away]

25 * 9 = 225 cm²

[5 - the side facing up]

25 * 15 = 375 cm²

   Now we will add them together for the total.

108 + 300 + 225 + 375 = 1,008 cm²

             The surface area for the triangular prism shown is 1,008 cm².

Answer:

Your answer would be:
C.) 1,350 cm2

Volume = 0.5 x b x h x length

0.5 x (25 x 12) x 9 =
0.5 x 300 x 9 =
= 1,350 cm2




Step-by-step explanation:

Have a great rest of your day
#TheWizzer

PLSS ANSWER

Ian drinks two and seven eighths liters of water. Farida drinks one and two eighths liters of water. How many more liters of water does Ian drink than Farida?

a. one and five eighths

b. one and one half

c. one half

d. two eighths

Answers

The answer is one and five eighths.

Look at this parallelogram. Find the value of p.

Answers

Answer:

15

Step-by-step explanation:

15 is the answer

If you need solution do let me know in the comments

What the value of q?

Answers

Step-by-step explanation:

this is very simple.

you can compare this to the question "in my bag are 70 pieces of fruit. 30 of them are apples. how many pieces of other fruit are there ?"

well, it is 70 - 30 = 40 !

that's it ! that is all there is to it.

so, q = 40°

what is still unclear, please ?

6) Over the course of 17 weeks Tiffany collected 18 pounds of cans to recycle and Tom
collected 8 times as much as Tiffany. Tom then put his collection into 6 bags to take to
the recycling center. How many pounds of cans did Tom put into each bag?

Answers

Answer:

24 per bag

Step-by-step explanation:

18x8=144 then divide by 6= 144÷6=24

Find the area of the figure.

Pls help

Answers

It's a trapezoid

Base=15+5=20cmAnother side=15cmHeight=12cm

Now

Area:-

1/2(Sum of parallel sides)(Height)1/2(15+20)(12)6(35)210cm^2

(2)Please help with both questions

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Let's think of the boat and wind as vectors:

Boat Vector --> [tex]\langle28cos36^\circ,28sin36^\circ\rangle[/tex]

Wind Vector --> [tex]\langle10cos22^\circ,10sin22^\circ\rangle[/tex]

Now, let's add the vectors:

[tex]\langle28cos36^\circ+10cos22^\circ,28sin36^\circ+10sin22^\circ\rangle[/tex]

Find the magnitude (the true velocity):

[tex]\sqrt{(28cos36^\circ+10cos22^\circ)^2+(28sin36^\circ+10sin22^\circ)}\approx37.78\approx38[/tex]

Find the direction (angle):

[tex]\theta=tan^{-1}(\frac{28sin36^\circ+10sin22^\circ}{28cos36^\circ+10cos22^\circ})\approx32.32^\circ\approx32^\circ[/tex]

Thus, D is the best answer

Problem 2

Recall that the angle between two vectors is [tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})[/tex] where [tex]u\cdot v[/tex] is the dot product of the vectors and [tex]||u||*||v||[/tex] is the product of each vector's magnitude:

[tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})\\\\\theta=cos^{-1}(\frac{\langle-82,47\rangle\cdot\langle92,80\rangle}{\sqrt{(-82)^2+(47)^2}*\sqrt{(92)^2+(80)^2}})\\\\\theta=cos^{-1}(\frac{(-82)(92)+(47)(80)}{\sqrt{6724+2209}*\sqrt{8464+6400}})\\\\\theta=cos^{-1}(\frac{(-7544)+3760}{\sqrt{8933}*\sqrt{14864}})\\\\\theta=cos^{-1}(\frac{-3784}{\sqrt{132780112}})\\\\\theta\approx109.17^\circ\approx109^\circ[/tex]

Therefore, C is the best answer

a large University with over 40,000 took a recent survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample of 250 students was selected. b = the proportion of students in the sample who claimed to work out 3 at least 3 times a week. What is the standard deviation of the sampling??

Answers

Answer:

A large university with over 40,000 students recently took a survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample …

✓ approximately Normal, because we would expect at least 10 success and 10 failures

Step-by-step explanation:

Can someone help me please?

Answers

Answer:

11/2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

This is because each dot represents one plot, and the only number with one plot above it is 1 and 1/2, aka D

Which of the following units are units of capacity? Select all that apply.

Answers

The basic units of measurement of capacity are liter (l) and milliliter (ml). To measure smaller quantities of liquid, we use milliliter (ml) and to measure larger quantities we use liter (l).

What is the perimeter of the pentagon below? 3.2 cm?​

Answers

Answer:

You didn't attach a picture of the pentagon, but the perimiter can easily be found using one of the following formulae:

Step-by-step explanation:

P = 5s, where s is the length of a side

P = 2r × Sin(180/5), where r is the radius

How to change account to have access to tutor

Answers

You need to buy Brainly pro, it’s a monthly subscription.

go into settings and click on subscription

what is 0.0981 rounded to the nearest tenth of a percent​

Answers

Answer:

0.1 percent

Step-by-step explanation:

sorry I don't have an explanation. sorry if it's wrong, at least I tried

Answer:

0.1

Explanation:

It's right

HELPPPPPPPP 50PTSSSSSS!!!!!!!!!

Answers

L(d)=205-7d

#1

Paved area:-

L(12)=205-7(12)=205-84=121mi

#b

Let's see

205-7d=1567d=205-1567d=49d=7days

Answer:

(a)  121 miles

(b)  7 days

Step-by-step explanation:

Given function:

[tex]\sf L(d)=205-7d[/tex]

Question (a)

When d = 12:

[tex]\sf \implies L(12)=205-7(12)[/tex]

                [tex]\sf =205-84[/tex]

                [tex]\sf =121 \ miles[/tex]

Therefore, the crew has 121 miles left to pave after 12 days.

Question (b)

When L(d) = 156

[tex]\sf \implies 156=205-7d[/tex]

[tex]\sf \implies 7d=205-156[/tex]

[tex]\sf \implies 7d=49[/tex]

[tex]\sf \implies d=\pm\sqrt{49}[/tex]

[tex]\sf \implies d=\pm7[/tex]

As distance is positive, [tex]\sf d=7[/tex] only

Therefore, the crew has been paving the the road for 7 days.

A tree is 18 feet tall and casts a shadow
that is 22 feet long. How far is it from the
end of the shadow to the top of the tree?
Show your work.

Answers

Answer:

28.42 feet

Step-by-step explanation:

Given

Height of tree = 18 feetLength of shadow = 22 feet

To Find

Distance b/w top of tree and end of shadow

Solving

This resembles a right triangle⇒ We can use Pythagorean Theorem!⇒ 18² + 22² = L²⇒ L² = 324 + 484⇒ L² = 808⇒ L = 2√202 ⇒ L = 2 x 14.21⇒ L = 28.42 feet

Answer:

28.4 feet

Step-by-step explanation:

The question can be solved by using Pythagoras Theorem.

Given:-

Height of tree :- 18 feet (Perpendicular)

length of shadow :- 22 feet (Base)

To find:-

Distance of shadow from the end to the top of the tree

Solution:-

We know the Pythagoras theorem,

Which is , H² = P² + B²

So putting the given value , we get

H² = 18²+22²

H² = 324 + 484

H = √ 808 feet

H = 28.4 feet

I need help with this question?

Answers

Answer:

38.5 cm²

Find area of the full rectangle:

Length * Width

6 * 7

42 cm²

Find area of the missing triangle

1/2 * base * height

1/2 * 7 * 1

3.5 cm²

Area of the figure:

42 - 3.5

38.5 cm²

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