How would you do it as a decimal number

Preeta watches an ant and beetle crawl in a hole in the ground. the beetle is 3/4 inch below ground level. the beetle climbs 1/3

Alex_Xolod [135]

Answer:

1a: $\frac{3}{4}$ + $\frac{1}{3}x$ = $2\frac{1}{2}$

1b: See below

1c: $2\frac{3}{4}$ 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:

$\frac{3}{4}$ + $\frac{1}{3}x$ = $2\frac{1}{2}$

1b. Solve the equation written above from 1a.

$\frac{3}{4}$ + $\frac{1}{3}x$ = $2\frac{1}{2}$

-3/4 -3/4 [subtract 3/4 to start the process of getting x by itself]

$\frac{1}{3}x$ = 1 $\frac{3}{4}$

*3/1 *3/1 [Multiply Reciprocal to get X by itself]

x= $5\frac{1}{4}$

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 = $2\frac{3}{4}$

4 0

2 years ago

Each month, you get your water bill in the mail. You know that each month you are charged a service

Svetach [21]

Answer:

$0.004 per gallon

Step-by-step explanation:

Given:

Service Fee= $22

Fixed rate per gallon= m

Water Consumed= 2256 gallons

Total bill charged= $31.02

Now by computing the equation we get

$\textrm{Total bill charged} = \textrm{Service fee} + (\textrm{fixed charge per gallon} \times \textrm{water consumed})$

Substituting data we get

$22+m2256=31.02$

$m2256= 31.02-22$

$m2256=9.02$

$\therefore m =\frac{9.02}{2256} =0.00399$

Rounding off above value we get

$m=0.004$ per gallon

3 0

3 years ago

Every day, the Webster Pet Store uses 3/10 of a bag of dog food to feed the dogs. How many days will 1 4/5 bags of dog food last

shepuryov [24]

Answer:

6 days

Step-by-step explanation:

1 + 4/5 = 5/5 + 4/5 = 9/5 = 18/10 bags of dog food

18/10 ÷ 3/10 = 18/3 = 6 days

4 0

3 years ago

The perimeter of a square is 75inches. What is the length of one side of the square?

viktelen [127]

Answer:

18.75

Step-by-step explanation:

if you do 75 divided by 4 it will give you 18.75

4 0

4 years ago

Read 2 more answers

Evaluate this problem

sammy [17]

-5x-2y=2....(1)
6x-2y=24.....(2)
multiply (2) by -1,
-6x+2y=-24....(3)
add (1)+(3)
-5x-2y-6x+2y=2-24
-11x=-22
-11x/11=-22/11
x=2
plugging in the value of x in (1)
-5(2)-2y=2
-10-2y=2
addind 10 to both sides
-2y=12
deviding both sides by -2
y=-6
so (x,y)=(2,-6)

4 0

4 years ago