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sveta [45]
3 years ago
15

A ditch contains 10 centimeters of water. Rainwater accumulates in the ditch as follows: 10 centimeters of water by the end of t

he 1st second, 15 centimeters by the end of the 2nd second, 20 centimeters by the end of the 3rd second, and so on. Assuming that the ditch has sufficient capacity for storage, how many centimeters of water will it have after 10 seconds? a. 55 c. 75 b. 65 d. 110
Mathematics
1 answer:
kondaur [170]3 years ago
3 0
Firstly, let's create a function of f(t) where t represents the time that has past, and f(t) represents the amount of rainwater. We know that when t=1, then f(t)=10, and t=2 then f(t)=15. So, let's take that and analyze it:

(1,10)
(2,15)
m = (15-10)/(2-1) = 5
y-intercept = 5
∴ f(t) = 5t+5

Now we just evaluate t for 10:

f(10) = (5*10)+5
f(10) = 55
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Emily buys a cage and two bowls for $54. The cage cost 40$. Each bowl cost the same amount. What is the price of one bowl? Expla
Taya2010 [7]

Answer:

$7

Step-by-step explanation:

a) First let's organize the information:

    The cage cost $40

    two bowls cost the same

    the total was $54

b) Put it as an equation

    40+x+x= 54

c) we will subtract 54-40 and get 14

d) divide 14 by 2 and get 7 for the cost of each bowl.

Hope you understand it ;)

5 0
3 years ago
The sum of two numbers is 24. The difference is 15. What are the two numbers?
tatiyna
The numbers are "x" and "y",
we suggest this system of equations.
x+y=24
x-y=15
solve by reduction method.
x+y=24
x-y=15
-----------------
2x=39      ⇒x=39/2=19.5

  x+y=24
-(x-y=15)
-------------------
   2y=9    ⇒y=9/2=4.5

The numbers are 19.5 and 4.5

To check
19.5+4.5=24
19.5-4.5=15
3 0
3 years ago
The distane from the spice island to lisbon is 11431 nautical miles and it took magellan and took his crew 100 days to reach Lis
natulia [17]

Answer:

114.31 nautical miles per day

Step-by-step explanation:

Use formula

S=v\cdot t,

where S is the distance, t is time and v is rate.

If S=11431 nautical miles and t=100 days, then

v=\dfrac{11431}{100}=114.31\ \text{nautical miles per day}.

8 0
3 years ago
How do you solve 12.42 ÷ - 4.8
yanalaym [24]
Its -2.5875

hoped it helped
4 0
3 years ago
Read 2 more answers
P(x) = 3x + 4<br>q(x) = 2x2<br>Find q(P(x))​
max2010maxim [7]

Answer:

Step-by-step explanation:

If we are to find q(p(x)), we are to start at the innermost part of the problem which is p(x). Take the function p(x) and fill it into q(x) every place you see an x:

2(3x+4)^2 is the composition of p into q.  Now all we have left to do is simplify.

(3x+4)^2=9x^2+24x+16

Then we have to finally multiply in the 2 to get:

18x^2+48x+32

3 0
3 years ago
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