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
The student will recognize the characteristics of a composite number based on its factors.
Alenkinab [10]
True I had this question before and I got the correct answer! Hope it helped !
4 0
3 years ago
Help please! Giving away brainliest.
Romashka-Z-Leto [24]

Answer:

triangle

A=bh/2

=2cm×4cm/2

=8cm^2/2

=4cm^2

square

A=s^2

=2cm×2cm

=4cm^2

3 0
3 years ago
You have $5600. The best interest rate you can find is 3%
EleoNora [17]

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

A = P(1 + \frac{r}{n})^{nt}

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

\frac{A}{P} = (1 + \frac{r}{n})^{nt}

Taking logs on both sides

log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}

This gives

log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72

t = 72/4 = 18 years

4 0
2 years ago
A rectangular park is 6x + 2 ft long and
Novosadov [1.4K]

Answer: 18x^2 + 48x - 50

Step-by-step explanation: In order to determine the area of the rectangle not covered by the turtle pond, we shall calculate the area of the square pond and subtract it from the area of the rectangle.

The area of the square is given as

Area = L x B, where A and B are of equal measurement (sides of a square)

Area = 8 x 8

Area = 64 ft^2

Next we calculate the area of the rectangle which is given as

Area = L x B, where L = 6X + 2 and W = 3X + 7

Area = (6X + 2) (3X +7)

Area = 18X^2 + 42X + 6X + 14

Area = 18X^2 + 48X + 14

We can now subtract the area of the square from the area of the rectangle

That is Area of the shaded region

= 18X^2 48X + 14 - 64

= 18X^2 + 48X - 50

Therefore, the area of the shaded region = 18X^2 + 48X - 50

5 0
3 years ago
4/9 / 9/5= the answer is
mr Goodwill [35]

Answer:

  20/81

Step-by-step explanation:

Without parentheses, it is hard to tell what you are dividing. We assume you want ...

  (4/9)/(9/5)

Then ...

\displaystyle\frac{\left(\frac{4}{9}\right)}{\left(\frac{9}{5}\right)}=\frac{4}{9}\cdot\frac{5}{9}=\frac{4\cdot 5}{9\cdot 9}=\frac{20}{81}

_____

As written (without parentheses), your expression is evaluated left to right, so evaluates to ...

  4/(9·9·5) = 4/405

7 0
3 years ago
Other questions:
  • Question number 7 Give a reasonable domain and range for the function in this context
    5·1 answer
  • a parking lot is filled with 260 cars. 1/2 of the vehicles are suvs. 1/3 are sub compact cars. the rest are luxury cars. how man
    15·1 answer
  • Question 42 points)<br> Tell whether the triangles<br> are similar.<br> Yes or No
    15·2 answers
  • There are 100 students surveyed. 32 are taking Calcus, 45 are talking Spanish, 18 are taking both Calcus and Spanish. If a stude
    7·1 answer
  • The chart below show the highest points in California's channel island
    5·1 answer
  • Sheila gives all 12 people in line 1/2 cup of juice does she given all
    14·1 answer
  • Please help me on question 6
    9·1 answer
  • Two numbers have a sum of 4, and the sum of their reciprocals is 8.
    11·1 answer
  • There are 4 Year 11 pupils in a football club, out of a total of 29 pupils.
    11·1 answer
  • What is the slope of the line that passes through (-1, 3) and (-1, 8)?<br> due today
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!