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
Aleksandr [31]
3 years ago
13

All of the houses on Algebra Avenue in Mathopolis are either two or three stories high. The Mathemagician assures you that the t

otal number of stories on Algebra Avenue is 95 more than the total number of houses on Algebra Avenue. The number of two-story houses is three times greater than the number of three-story houses. How many houses are on Algebra Avenue?
Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer:

The number of houses on Algebra Avenue are 76 houses

Step-by-step explanation:

The given information are;

Buildings on Algebra Avenue in Mathpolis = 2 or 3 stories high

Total number of stories = 95 + Total number of houses

The number of two-story houses = 3× The number of three-story houses

Let the number of three-story houses = X

Therefore, the number of two-story houses = 3 × X

Total number of stories = 3×X + 2×3×X = 9·X

The total number of houses = X + 3 × X = 4·X

Given that, the total number of stories = 95 + Total number of houses, we have;

9·X = 95 + 4·X

9·X - 4·X = 95

5·X = 95

X = 95/5 = 19

X = 19

The total number of houses = 4·X

Therefore, the total number of houses = 4 × 19 = 76 Houses.

You might be interested in
A fish is 4 feet under water and swims up 1 foot towards the surface. What is its position
vampirchik [111]

Answer: \Large\boxed{-3~\text{feet under water}}

Step-by-step explanation:

<u>Given information</u>

\text{Fish is 4 feet under water (-4)}

\text{Swims up by 1 foot (+1)}

<u>Derived expression from the given information</u>

\text{Position = Initial + Change}

<u>Substitute values into the given expression</u>

\text{Position = }(-4)+(1)

<u>Simplify the position</u>

\text{Position = }-3

<u>Therefore, the current position of the fish is:</u>

\Large\boxed{-3~\text{feet under water}}

Hope this helps!! :)

Please let me know if you have any questions

7 0
2 years ago
Simplify the following: 6a + 3 (2a - 7) -9
oee [108]
-24a-30. This is so because when you distribute you get numbers with like terms which you can then combine into a "simple" answer.
4 0
3 years ago
Read 2 more answers
Find the value of X. Round to the<br> nearest tenth. <br> 7.4in <br> 2.4in<br> x
Darya [45]

Answer:

4.4 inches

Step-by-step explanation:

Here, we are interested in calculating the value of x.

Mathematically, a line that comes from the center of the circle and extends to a chord, divides the chord into two equal parts.

This means what we have is a right angled triangle with the radius being the hypotenuse, the half of the length of the chord as the other side of the triangle.

3.7 is half the length of the chord i.e 7.4/2

Thus;

using Pythagoras’ theorem

x^2 = 2.4^2 + 3.7^2

Pythagoras’ posited that the square of the hypotenuse is equal to the sum of the squares of the other two sides of the triangle.

Thus;

x^2 =5.76 + 13.69

x^2 = 19.45

x = √(19.45)

x = 4.41 inches which is 4.4 inches to the nearest tenth

6 0
2 years ago
Read 2 more answers
The table shows the estimated number of deer living in a forest over a 5 year period. Which type of function best models the dat
jek_recluse [69]

Answer:

C ) exponential :  y = 100 * 0.79^x

Step-by-step explanation:

8 0
3 years ago
Multiplication Property of Equality---- If 6x divided by 8 = 40, then______
NNADVOKAT [17]

Answer:

Option C.) 6x=320

Step-by-step explanation:

we know that

The <u>Multiplication Property of Equality</u> states that if you multiply both sides of an equation by the same number, the sides remain equal

we have

\frac{6x}{8}=40

Apply the multiplication property of equality

Multiply by 8 both sides

\frac{6x}{8}(8)=40(8)

6x=320

therefore

The answer is the Option C

6 0
3 years ago
Read 2 more answers
Other questions:
  • Many income tax systems are calculated using a tiered method. Under certain tax law, the first $100 000 of earning are subject t
    11·1 answer
  • Joey Chestnut is trying to break his own world record.After 1 minute of competition, joey has eaten 10 hotdogs.Joey wants to kno
    10·2 answers
  • Jejehrhehekjejrbehjehrbebe
    13·2 answers
  • Afire hydrant that is 2 3/4 feet tall casts a shadow that 2 feet long. Find the length of the shadow cast by a nearby 154-foot t
    6·1 answer
  • Suppose lines a and b shown above are rotated in some way. Choose all the statements that WOULD result from line a and b being r
    10·1 answer
  • Sally wants to add to her collection of seashells. She currently has 100 seashells.
    11·2 answers
  • I forgot how to find the percent of decrease can someone please help?
    13·1 answer
  • Five times the difference of a number and 12 minus 4 times the same number is – 36. What is the equation? Also, don't comment if
    13·1 answer
  • PLS HELP WILL GIVE BRAINLIEST only have to answer 17-23 please give explanations too!!
    11·2 answers
  • Where can we put parentheses in 4 x 7 + 2 to make it equivalent to 36?Choose 1 answer:4% (7+2)B(4 x 7) + 2Stuck? Review related
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!