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Arisa [49]
2 years ago
5

the mean average distance that jack runs in his last 10 runs is 5.7 miles. work out the distance that he would need to make this

exactly 6 miles
Mathematics
1 answer:
ziro4ka [17]2 years ago
3 0

Answer:

9 miles

Step-by-step explanation:

mean is calculated as

mean = \frac{sum}{count} , then

\frac{sum}{10} = 5.7 ( multiply both sides by 10 )

sum = 57

let x be the distance he needs to cover so mean is 6 , that is

\frac{sum+x}{11} = 6 ( multiply both sides by 11 )

sum + x = 66 , that is

57 + x = 66 ( subtract 57 from both sides )

x = 9

That is he would have to run 9 miles

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The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 se
kakasveta [241]
Let:
x = cost of senior citizen ticket
y = cost of student ticket

4x + 5y = 102
7x + 5y = 126

4x + 5y = 102
4x = 102 - 5y
x = (102 - 5y)/4
x = 102/4 - 5y/4

7x + 5y = 126
7(102/4 - 5y/4) + 5y = 126
(714/4 - 35y/4) + 5y = 126
-35y/4 + 5y = 126 - 714/4

note:
-35y/4 = -8.75y
714/4 = 178.5

-8.75y + 5y = 126 - 178.5
-3.75y = -52.5
y = -52.5/-3.75
y = 14


x = 102/4 - 5y/4
x = 102/4 - 5(14)/4
x = 8

x = cost of senior citizen ticket = $8/ea
y = cost of student ticket = $14/ea



6 0
2 years ago
A jar is filled up with buttons of various colors. Of the jar has a total of 875 buttons and 52% of buttons are green, how many
laiz [17]
Since 52% is the same as 52/100, we can multiply 875 by 52/100 in order to find the green buttons. 
52/100(875) = 455 
455 green marbles

3 0
3 years ago
The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The mon
kkurt [141]

The monthly cost will be $17.14

Step-by-step explanation:

Given that the monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes) then this can be presented in a table form as;

<u>Time in minutes (x)</u>        <u>Cost in dollars (y)</u>

50                                          $12.55

102                                         $ 17.23

Take the values as ordered pairs to represent coordinates for points that satisfy the linear function

(50,12.55)  and (102,17.23)

Finding the slope of the graph using these points

slope,m=Δy/Δx

m=Δy=17.23-12.55 =4.68

Δx=102-50=52

m=4.68/52 =0.09

Finding the equation of the linear function using m=0.09, and point (50,12.55)

m=Δy/Δx

0.09=y-12.55/x-50

0.09(x-50)=y-12.55

0.09x-4.5=y-12.55

0.09x-4.5+12.55=y

y=0.09x+8.05

So for 101 minutes , the cost will be;

y=0.09*101 +8.05

y=9.09+8.05 = $17.14

Learn More

Linear functions : brainly.com/question/11052356

Keyword : linear function

#LearnwithBrainly

5 0
3 years ago
PLEASE HELP, TY IF YOU ANSER:)&lt;3
Taya2010 [7]
X. . X. X. X. X. X x x x x. X x x x. X x. X x x
6 0
3 years ago
Plz help me well mark brainliest if correct!!....
Makovka662 [10]

Answer:

35 square units

Step-by-step explanation:

take the amount of each side and multiply. so it would be 5 times 7. that gives you the total area.

5 0
2 years ago
Read 2 more answers
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