Answer:
1a: 
+ 
= 
1b: See below
1c: 
inches between the beetle and ant
Step-by-step explanation:
1a. To build the equation, we need to see that the beetle started at 3/4th inches below ground level, then "climbed" (which is poor English, it should be descended) a certain distance, and then it ended up at 2 1/2 inches below ground. The distance "climbed" can be represented as 1/3X, where "X" is the ant's current distance. We would do 1/3rd times "X" to figure out how much the beetle climbed down.
So that means, if we added together the starting position of 3/4, plus the distance the beetle descended (1/3X), that would get us TO 2 1/2 inches below ground (the beetle's new current position). So therefore our equation is:
+ =
1b. Solve the equation written above from 1a.
+ =
-3/4 -3/4 [subtract 3/4 to start the process of getting x by itself]
= 1
*3/1 *3/1 [Multiply Reciprocal to get X by itself]
x= 
1c. So we take the position of the ant figured out on 1b (5 1/4 inches), and the new current position of the beetle (2 1/2 inches), and subtract them
5 1/4 - 2 1/2 =
Answer:
70
Step-by-step explanation:
From the question given above, the following data were obtained:
TU = 8x + 11
UV = 12x – 1
Next, we shall determine the value of x.
From the question:
U is the midpoint. This means that TU and UV are equal i.e
TU = UV
With the above idea in mind, we shall determine the value of x as follow:
TU = UV
TU = 8x + 11
UV = 12x – 1
8x + 11 = 12x – 1
Collect like terms
11 + 1 = 12x – 8x
12 = 4x
Divide both side by the coefficient of x i.e 4
x = 12/4
x = 3
Next, we shall determine the length of TU and UV. This can be obtained as follow:
TU = 8x + 11
x = 3
TU = 8(3) + 11
TU = 24 + 11
TU = 35
UV = 12x – 1
x = 3
UV = 12(3) – 1
UV = 36 – 1
UV = 35
Finally we shall determine the length of TV. This can be obtained as follow:
TV = TU + UV
TU = 35
UV = 35
TV = 35 + 35
TV = 70
Therefore, the distance between my house and grandma's house is 70.
NOTE: Assume the distance is measured in kilometer (km)
This means that I will travel 70 km from grandma's house to my house.
Congruent means same so the equation is
5x+24=9x-17
Subtract 5x on both sides
24=4x-17
Add 17 to both sides
41=4x
Divide by 4
10.25
Answer:
106
Step-by-step explanation:
Answer:
4500
Step-by-step explanation:
3600 is 100 percent so divide it by 4 to get the 25% which is 900. add them together and you get 4500
