1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Debora [2.8K]
3 years ago
13

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 5. If there were 4

160 no votes, what was the total number of votes?
Mathematics
1 answer:
Amanda [17]3 years ago
5 0

Answer:

The total number of voters was 7488

Step-by-step explanation:

Let us solve this question using the ratio method

∵ The ratio of yes votes to no votes was 4 to 5

∵ There were 4160 no votes

∵ We need to find the total number of votes

∵ The total of the ratio = 4 + 5 = 9

→ By using the ratio method

→ YES    :    NO    :    Total

→ 4         :    5       :     9

→  x        :   4160  :     y

→ By using the cross multiplication

∵ 5 × y = 4160 × 9

∴ 5y = 37440

→ Divide both sides by 5 to find y

∵ \frac{5y}{5} = \frac{37440}{5}

∴ y = 7488

∵ y represents the total number of voters

∴ The total number of voters was 7488

You might be interested in
If side A is twice as long as B and C is 25 using the Pythagorean Theorem,What are the lengths of side A and B? Round to the nea
777dan777 [17]

Answer:

<u>The lengths of side A is 22.4 and B is 11.9</u>.

Step-by-step explanation:

Given:

If side A is twice as long as B and C is 25 using the Pythagorean Theorem.

Now, to find the lengths of side A and B.

Let the side B be x.

So, the side A be 2x.

Side C = 25.

Now, to solve by using Pythagorean Theorem:

A² + B² = C²

(2x)^2+(x)^2=(25)^2

4x^2+x^2=625

5x^2=625

<em>Dividing both sides by 5 we get:</em>

x^2=125

<em>Using square root on both sides we get:</em>

x=11.18.

<u>B rounding to the nearest tenth =  11.9.</u>

Now, to get A by substituting the value of x:

2x\\=2\times 11.18\\=22.36.

<u>A rounding to the nearest tenth =  22.4.</u>

Therefore, the lengths of side A is 22.4 and B is 11.9.

8 0
3 years ago
Help!!Need help please help me
irina [24]
 8x-6y=-96  add to this -4 times the second equation...
-8x-12y=-48
___________

-18y=-144

y=8, this makes 8x-6y=-96 become:

8x-48=-96

8x=-48

x=-6

so the solution to the system of equations is the point:

(-6,8)
3 0
3 years ago
-3x^8/7x^4*-6x/2x^2 please help
photoshop1234 [79]

Answer:

= 9x^15/7

Step-by-step explanation:

4 0
2 years ago
A staircase has an angle of elevation of 28° anı
AveGali [126]

Hi there!

We can use right-triangle trigonometry to solve.

We are given the HYPOTENUSE and ADJACENT sides, so we must use cosine in this instance.

cosθ = Adjacent/Hypotenuse

We can plug in what is given:

cos(28) = A/17

Solve for 'A':

17cos(28) = <u>15.01 ft</u>

5 0
2 years ago
The length of an swimming pool is best measure in ​
tino4ka555 [31]

Answer: yards and meters

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Play help me I need Mathematics
    7·1 answer
  • Y = a(b)*
    8·1 answer
  • A car travels at a speed of 85 miles per hour. How far will it travel in 15 minutes?
    11·2 answers
  • Item: Circle D has a radius of 16 inches and right central angle, _EDF. Find the exact length of EF.
    5·1 answer
  • Write 121 raised to the one-half power equals 11 as a logarithmic function
    15·1 answer
  • Susan threw a softball 42 yards on her first try and 51 1/2 yards on her second try. How much farther did she throw the softball
    14·1 answer
  • Annabelle has the following containers of paint left over. 1/2 gallon 3/4 quart and one fourth gallon. Annabelle put the leftove
    14·1 answer
  • Which expression is greater than -|-0.4| ?
    11·1 answer
  • Find the coordinates of each point after the described reflection. Give the distance between each point and its reflection.
    14·1 answer
  • What are the steps to solving this problem? (how do you solve for b)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!