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kiruha [24]
3 years ago
10

If u work it out then i will give lots of brinilets (pls show workings out) :P

Mathematics
1 answer:
hammer [34]3 years ago
3 0

Answer: The winning order is:

Spike

Boris

Percival.

Step-by-step explanation:

We can write the number of steps that each one did as linear relationships of the form:

y = a*x + b

where:

a represents the slope, in this case, is the velocity of each kid.

x represents the time

b represents the steep at which each one starts.

We know that the race is completed with 99 steps.

Now, we know that in one unit of time (we do not know how long this is, and this does not matter).

Boris can run 5 steps in one unit of time

Spike can run 4 steps in one unit of time

Percival can run 3 steps in one unit of time.

Now let's write the equations for each one.

B(x) will be Boris's equation, we know that he starts from the bottom, then his equation is:

B(x) = 5*x + 0

B(x) = 5*x

Now we can find the number x needed to reach the 99 step, this is:

B(x) = 99 = 5*x

99/5 = x = 19.8

Boris needs 19.8 units of time to finish the race.

S(x) will be the equation for Spike, we know that he starts 21 steps up, then his equation is:

S(x) = 4*x + 21

Let's find the value of x such that S(x) = 99

S(x) = 99 = 4*x + 21

99 - 21 = 4*x

78 = 4*x

78/4 = x = 19.5

So Spike needs 19.5 units of time to finish the race, so he needs less time than Boris, this means that he finishes before Boris.

P(x) is the equation for Percival, we know that he starts 38 steps up, then his equation is:

P(x) = 3*x + 38

Again, we want to find the value of x such that P(x) = 99

P(x) = 99 = 3*x + 39

99 - 38 = 3*x

61 = 3*x

61/3 = x = 20.33

So Percival needs 20.33 units of time to finish the race, he is the one that needs more time, so he will be the last one to finish.

The winning order is:

Spike

Boris

Percival.

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goblinko [34]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Mrs. Suarez sold pies for a fundraiser. she sold 3 5/6 pies the first day and 1 3/6 the second day. how many pies did she sell i
LuckyWell [14K]

Answer: 5 2/6

Step-by-step explanation: 3 5/6 + 1 3/6 = 5 2/6 because you need to add the pie wholes,(3 + 1) and then you have the fractions, 5/6 + 3/6. So since all you need to make another whole is 1/6 you take it away from 3/6 and give it to 5/6 so now you have another whole. 4 wholes plus 1 new whole is 5 wholes. Since you took 1/6 away from 3/6 you now have 2/6. So 5 wholes and 2/6 were sold.

3 5/6 + 1 3/6 =

3 + 1= = 4

5/6 + 1/6 = 1

3/6 - 1/6 = 2/6

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3 0
2 years ago
The most popular items at a bakery are its raspberry scones and its lemon poppy
Umnica [9.8K]

The system of equations x+y=46 and 15x+9y=396 could be used to find the number of boxes of each item sold.

Step-by-step explanation:

Given,

Cost of one box of raspberry scones = $15.00

Cost of one box of lemon poppy seed muffins = $9.00

Total boxes sold = 46

Total revenue earned = $396

Let,

x be the number of raspberry scones sold.

y be the number of lemon poppy seed muffins sold.

According to given statement;

x+y=46    Eqn 1

15x+9y=396    Eqn 2

The system of equations x+y=46 and 15x+9y=396 could be used to find the number of boxes of each item sold.

8 0
3 years ago
A cell phone plan costs $39 a month. The plan includes 2 gigabytes (GB) of free data and
DerKrebs [107]

a) C(0.5) = 39,  C(2)  =  39,  C(4)  =  69

b) Answers in part (a) represents the values of C at x = x₀

c) C(x) is continuous at x = 2

C (x) = 39 for 0 ⩽ x ⩽ 2

Since x = 0.5 is in the range 0 ⩽ x ⩽ 2:

C(0.5)  =  39

Since x = 2 is in the range 0 ⩽ x ⩽ 2

C(2)  =  39

Since x = 4 is in the range x  >  2

C(4) = 39 + 15(x - 2)

C(4) = 39  +  15 (4 - 2)

C(4)  =  39  +  15(2)

C(4)  =  39  +  30

C(4)  =  69

b) The answers in part A represents C(x). That is, the values of C at x = x₀

c) Is C(x) continuous at x = 2

C(2)   =  39

\lim_{x \to 2} C(x) = 39

Since \lim_{x \to 2} C(x) = C(2), the function C(x) is continuous at x = 2

Learn more here: brainly.com/question/20710468

4 0
2 years ago
Jada has 7/8 cup of cheese. Her cheese bread recipe calls for 1/6 cup of cheese. How many times can she make her recipe with the
riadik2000 [5.3K]
Divide (1/6 cup cheese) into (7/8 cup cheese):

7
--
8          7     6
----- = --- * --- = 42/8 = 5 2/8 = 5 1/4 = 5.25
1          8     1
--
6

She can prepare her recipe 5 times, with some material left over.
5 0
3 years ago
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