A developer has 7 1/2 acres of land to build houses on. If each house is to be built on 1/4-acre plot, how many houses can he build?A.3
B.5
C.30
D.35

Answers

Answer 1
Answer: Amount of land that the developer has to build house on = 7 1/2 acres
                                                                                           = 15/2 acres
Amount of land required for building each house = 1/4 acre
Then
The total number of
houses that can be built by the developer = (15/2)/(1/4)
                                                                   = (15 * 4)/(2 * 1)
                                                                   = 15 * 2
                                                                   = 30
So the developer can make a total of 30 house with the quantity of land he has. The correct option among all the options given in the question is option "C".
Answer 2
Answer:

The developer will build 30 total number of houses when the total area is 7 (1)/(2) acres.

The total space occupied by any object is called as its area.

The area of each house is given as  (1)/(4) acre

Total land with the developer is given as  7 (1)/(2) acre

The number of houses can be calculated as:

Assume the number of houses be x.

(1)/(4) *  x = 7 (1)/(2)

The mixed fraction in improper form can be written as:

(1)/(4) *  x =  (15)/(2)

Multiply both side by 4 to get the value of x

x = 30

Thus, the developer can build 30 plots using 7 (1)/(2)acres of land.

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An athlete jumps these 4 distances in a long jump competition. Which jump does NOT round to 4.7 meters?

Answers

The jump that does not round to 4.7 meters is the third jump.

In order to determine which option does not round to 4.7 meters, each of the options has to be rounded off to the nearest tenth. The nearest tenth is the first number after the decimal point.

How to round off to the nearest tenth

  1. examine the number in the hundredth place.
  2. If the  hundredth figure is less than 5, the tenth number does not change.
  3. If the hundredth figure is equal or greater than 5, 1 would be added to the tenth figure.

  • The first jump rounds off to 4.7 meters
  • The second jump rounds to 4.7 meter
  • The third jump rounds off to 4.6 meters
  • The fourth jump rounds off to 4.7 meters

A similar question was answered here: brainly.com/question/8085738

the correct answer is the third jump
i hope this helps

Castor brought 6 3/4 small carrot cakes to share with 26 students in his class. Did Castor bring enough for each student to have 1/4 of a cake? (Yes..26 students and 27 pieces of cake???)

Answers

yes that is correct  27 pieces
                              ------------
                             26 students

Graph the equations to solve the system Y equals 2x+7 and 1/2y=x+7/2

Answers

Given equation is y=2x+7 and (1)/(2)y=x+(7)/(2)

Let's simplify the 2nd equation (1)/(2)y=x+(7)/(2) before we can start graph so that calculation will be easy

(1)/(2)y=x+(7)/(2)

multiply both sides by 2 to cancel out fractions

2*(1)/(2)y=2*x+2*(7)/(2)

y=2x+7

which is exactly same as the first equatoin so graph of both will be exactly same and solution will be infinitely many solutions.

y=2x+7 has y-intercept 7 so first point will be (0,7). Slope is 2 so rise 2 unit up then 1 right and graph the new point.


The sum of 2 numbers is 30 and the difference is 10. What are the two numbers.

Answers

Answer:

20 + 10 = 30

Step-by-step explanation:

The sum of x and y is 30. In other words, x plus y equals 30 and can be written as equation A:

x + y = 30

The difference between x and y is 10. In other words, x minus y equals 10 and can be written as equation B:

x - y = 10

Now solve equation B for x to get the revised equation B:

x - y = 10

x = 10 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 30

10 + y + y = 30

10 + 2y = 30

2y = 20

y = 10

Now we know y is 10. Which means that we can substitute y for 10 in equation A and solve for x:

x + y = 30

x + 10 = 30

X = 20

Summary: The sum of two numbers is 30 and their difference is 10. What are the two numbers? Answer: 20 and 10 as proven here:

Sum: 20 + 10 = 30

Difference: 20 - 10 = 10

20 & 10 for obvious reasons they both make 30 and have a difference of 10

Frank lives 6 miles away from school. If he rode his bike 7/8 miles and walked the rest, how many miles did he ride his bike?

Answers

we need to find 7/8 of 6. to do this we multiply them together. we write 6 as 6/1 and multiply across to get 42/8 or 5 2/8 simplified to 5 1/4 as a mixed fraction. Frank rode his bike 5 1/2 miles to school

The school concert raised $1360 from the sale of 400 tickets. If adult tickets cost $5 and student tickets $3, how many student tickets were sold?

Answers

To find the number of student tickets sold, we can use a system of equations. The number of student tickets sold is 320.

To find the number of student tickets sold, we can use a system of equations.

Let's represent the number of adult tickets sold as 'A' and the number of student tickets sold as 'S'. From the given information, we know that A + S = 400 (equation 1) and 5A + 3S = 1360 (equation 2).

We can solve this system of equations by substitution or elimination method:

Using the substitution method, we can solve equation 1 for A:

A = 400 - S

Substituting A in equation 2:

5(400 - S) + 3S = 1360

2000 - 5S + 3S = 1360

2000 - 2S = 1360

-2S = -640

S = 320

Therefore, 320 student tickets were sold.

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You would use a system of equations.
A= adult tickets sold
S= student tickets sold
A+S=400
5A+3S=1360

-3(A+S=400)= -3A-3S=-1200 +
5A+3S=1360 =
2A = 160 so A=80

now when you plug 80 into the original equation you get 80 + S = 400 so S=320

80 Adult tickets were sold and 320 student tickets were sold.