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san4es73 [151]
3 years ago
10

Charlie and Leo were playing with toy cars. Charlie said to Leo that if you give me one car, then i will have twice as many cars

as you have. Leo said if charlie gives him a car, they will be equal. How many cars does each boy have? HELP IN PLAYING A BATTLESHIP GAME
Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Step-by-step explanation:

C + 1 = 2(L-1)

C +1= 2L -2

C- 2L = -3 ......(eq.1)

L+1 = C-1

C- L = 2 .....(eq.2)

by elimination :

C - 2L = -3

C - L = 2

________-

- L = -5

L = 5

C = 2+5 = 7

so, Leo has 5 cars and Charlie has 7 cars

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See attached image. For part b, my answer is <img src="https://tex.z-dn.net/?f=h%28t%29%3D%5Cfrac%7Bt%5E2%7D%7B100%7D-%5Cfrac%7B
ArbitrLikvidat [17]

Answer:

a) shown

b) h = [sqrt(17) - (5/2)t]²

c) t = 2sqrt(17)/5 seconds

Step-by-step explanation:

V = pi × r² × h

V = pi × 5² × h

V = 25pi × h

a) dV/dt = dV/dh × dh/dt

-5pi × sqrt(h) = 25pi × dh/dt

dh/dt = -sqrt(h)/5

b) 1/sqrt(h) .dh = -5. dt

2sqrt(h) = -5t + c

t = 0, h = 17

2sqrt(17) = 0 + c

c = 2sqrt(17)

2sqrt(h) = -5t + 2sqrt(17)

sqrt(h) = [2sqrt(17) - 5t] ÷ 2

sqrt(h) = sqrt(17) - (5/2)t

Square both sides

h = [sqrt(17) - (5/2)t]²

c) empty: h = 0

0 = [sqrt(17) - (5/2)t]²

sqrt(17) - (5/2)t = 0

(5/2)t = sqrt(17)

t = 2sqrt(17)/5

t = 1.64924225 seconds

sqrt: square root

5 0
3 years ago
A rectangle has vertices a(1,2), B(1,7), c(4,7), d(4,2). what is the perimiter of the rectangle
aliina [53]

Answer:

16

Step-by-step explanation:

You see, if you were to plot these points, (1, 2) and (1, 7) would be 5 points away from each other. If you were to plot the points (4, 2) and (4, 7) those points would also be 5 points away from each other. Now, (1, 2) and (4, 2) are 3 points apart as well as (1, 7) and (4, 7). Therefore, 5 + 5 = 10, 3 + 3 = 6, and finally, 10 + 6 = 16!

7 0
3 years ago
Read 2 more answers
Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 60 miles per hour. Then, in t
Gnom [1K]

Answer:

There was a %5 increase

Step-by-step explanation:

You just have to substract 65-60 and you get 5

7 0
2 years ago
A rectangular prism has a length, width, and height of 2/3 inch, 3/5 inch, and 4/7 inch, respectively. The volume of the rectang
monitta

Answer: 8/35 is the exact answer as a fraction; approximately that is equal to 0.22857 (rounded to 5 decimal places)

Work Shown:

The volume of this prism is equal to the length times width times height. We multiply the three fractions out. To do this, multiply straight across. The numerators group up and multiply. The denominators form a separate group to multiply.

Multiply the numbers up top (numerators): 2*3*4 = 6*4 = 24

Multiply the numbers in the bottom (denominators): 3*5*7 = 15*7 = 105

We end up with 24/105. We can divide both numbers by 3 to reduce the fraction (note how 3 is a factor of each multiplication above)

24/3 = 8

105/3 = 35

So that's how I got 8/35

If you want to convert to decimal form, then 8/35 = 0.22857 approximately.

4 0
3 years ago
Read 2 more answers
Help solve 10×-6y=7​
spayn [35]

Answer:

y = -7/60

There you go

7 0
3 years ago
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