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 ratio of boys to girls in the classroom is 4 to 5 if there are 20 girls how many boys would there be
Viktor [21]

Answer:

16 to 20

Step-by-step explanation:

Let's do our math.

4 to 5

8 to 10

12 to 15

16 to 20

In order to get to 20, you'd have to multiply 5 by 4. So in order to get an equal ratio, you multiply 4 by 4 and get 16.

I hope this helps!

-No one

8 0
2 years ago
Tia is 8 years younger than her sister Annette. Annette is y years old. Write an algebraic expression that describes Tia’s age.
-BARSIC- [3]
8-y
Hope this helps and please mark brainliest.
6 0
2 years ago
Read 2 more answers
(08.01) The graph shows two lines, Q and S. A coordinate plane is shown with two lines graphed. Line Q has a slope of one half a
ki77a [65]

Answer:

There are no solutions for the pair of equations.

The lines are parallel to each other

Step-by-step explanation:

Line Q has a slope of 1/2 and crosses the y axis at 3.

This mean at x=0, y=3

Using the equation of a straight line expression to find the slope

y=mx +c  where m is slope and c in the y intercept you can write the equation for Line Q as;

y=mx+c\\\\y=\frac{1}{2} x+c\\\\3=\frac{1}{2} *0+c\\\\3=c\\\\y=\frac{1}{2} x+3

For the Line S , slope is 1/2  and the line crosses the y axis at -2 , which represents the c in the equation y=mx +c

The equation for S will be

y=\frac{1}{2} x-2

Using the graphing tool to plot the two equations for line  Q and line S we notice that the lines are parallel .For solutions, they have to intersect.

8 0
3 years ago
Read 2 more answers
A family of 17 are trying to get back to their island for Christmas when disaster strikes – their ship hits a rock and will sink
wlad13 [49]
Answer: 13

Althoug each round trip takes 9 minutes and can carry 5 people on the boat, you can not just divide the 20 minutes time by 9 and multiply by 5 to find the number of people that are saved without getting wet.

First trip:

5 people take the boat to the island but only 4 can stay, because one has to return with the boat to the ship to rescue other 4 people.

So, when 9 minutes have passed, 4 people are safe on the island and the boat is again by the ship.

Second trip:

In the second trip, other 4 people are rescued,along with "sailor" who returned in the boat to rescue them.

When it has passed 18 minutes, the boat is next to the ship agin to carry other 4 people before the boat sinks.

This is the last trip before the boat sinks. So, the total number of passengers rescued is 4 + 4 +  5 = 13
8 0
3 years ago
Read 2 more answers
josue earned $56.25 fixing a coding issue with a popular website.it took him a total of 4.5 hours to fix the issue.The equation
Marina CMI [18]
In your calculator
Divide 56.25 by 4.5










That should equal 12.50
To double check you can
12.50 x 4.5 = 56.25

5 0
2 years ago
Other questions:
  • I need help ASAP!!!!
    9·1 answer
  • A store reduces the price of a jacket by 40%. The sale price of the jacket is marked as $30. What percent of the original price
    13·1 answer
  • Greatest common factor of: 12,90
    8·2 answers
  • If you take 3 by 2 what do you get
    10·1 answer
  • Please help me with this problem :)
    5·2 answers
  • What number would complete the pattern 16 4 11 36 9 27 44 11
    7·1 answer
  • Richard works at an ice cream shop. Regular cones get two scoops of ice cream; large cones get three scoops. One hot Saturday, R
    10·1 answer
  • What is 47/20 as a decimal
    14·2 answers
  • pleaseee help how do i write an equation in slope-intercept form for the line with slope 1/3 and y-intercept -3?
    9·1 answer
  • How does the function represented in the table change over equal intervals? What
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!