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EastWind [94]
2 years ago
9

JOGGING Before soccer practice, Jovan warms up by jogging around a soccer field that is 100 yards by 130 yards . How many yards

does he jog if he goes around the field four times ?
Mathematics
2 answers:
mylen [45]2 years ago
7 0

Answer:

1,840 yards

Step-by-step explanation:

We have to visually think about this as a perimeter problem. Let's imagine a soccer field as a rectangle. The long side is 130 yards and the other side is 100 yards. To find the perimeter, we would have to add all of those sides together. A rectangle has two long sides and two shorter sides, so we add 130+130+100+100. We get 460 as this answer, so Jovan ran 460 yards around the field ONCE. Since this problem is asking how much yards he ran when he ran for 4 times, we multiply 460 by 4 to get 1840 yards

Fantom [35]2 years ago
5 0

Answer:

1840 yards

<em>BRAINLIEST, PLEASE!</em>

<em />

Step-by-step explanation:

Perimeter can be found using 2 times the length plus 2 times the width.

Length = 130, Width = 100

130 x 2 = 260, and 100 x 2 = 200

200 + 260 = 460

Since he ran around the field 4 times, 460 x 4 = 1840

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Find the extreme values of the function and where they occur. f(x)=x-4sqrt(x)
Tema [17]
The extreme values of the function f(x) = x - 4sqrt(x) occur at the values of x for which f'(x) = 0

f'(x) = 1 - 2/sqrt(x) = 0
sqrt(x) - 2 = 0
sqrt(x) = 2
x = 4
To check for minimum or maximum,
f''(x) = 1/(sqrt(x))^3 = 1/(sqrt(4))^3 = 1/(2^3) = 1/8 => the point is a minimum.

Therefore, the minimum value = f(4) = 4 - 4sqrt(4) = 4 - 4(2) = 4 - 8 = -4 and occurs at x = 4.
3 0
2 years ago
PLZ HELP STUCK ON THIS QUESTION 4a + 6b = 24 6a - 12b = -6 Given the equations what is the value of a+b? PLZ HELP WILL MARK BRAI
Paul [167]

Answer:

a + b = 5

Step-by-step explanation:

To solve this system of equations, we can use a strategy called elimination, which is when we get rid of a variable by adding/subtracting two equations.

Firstly, we want to make sure the absolute value of the coefficients that equal.

Lets eliminate b:

4a + 6b = 24

Multiply both sides by 2:

8a + 12b = 48

We also have:

6a - 12b = -6.

Now lets add that with

8a + 12b = 48

-> 6a + 8a + 12b - 12b = 48 -6

-> 14a = 42

-> a = 3

Now that we know a, lets plug it into one of our original equations:

4(3) + 6b = 24

12 + 6b = 24

6b = 12

b = 2

Finally, add the two values we found:

a+b = 2+3= 5

4 0
3 years ago
Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16 feet. Which of the
pychu [463]
Considering that the grows at a constant rate we can form an equation where x = how many years after it was planted
and y = its height

Now we just need to find how many feet it grows each year. To do that we just need to compare its height from a certain age to another:
6 years after it was planted : 7 feet,
so x=6 and y = 7

9 years after it was planted: 16 feet
so x= 9 y=16

With thay we can conclude that in 3 years , the tree grew 9 feet. To discover how much the tree grow each year we just nee to divide 9 feet by 3 years which is 3 feet every year.

To write the equatopn now we just need to find the y-intercept which we can discover by setting x to 0:
If in 6 years after the tree was planted it is 7 feet long , we can discover how long it was when it was planted by subtracting 6 years of growth (The slope ) which is 3
7 - 6(years)×3(feet the tree grow each year)
7 - 18 = -11
The tree was -11 feet long when it was planted
which is our y-intercept
( I know it doesnt make sense , but if you apply to a graph it will make more sense )


Now we can make the equation
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7 0
3 years ago
Y = 7x - 15<br> y = 4x - 12
elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

7x - 15 = 4x - 12

3x - 15 = -12

3x = 3

x = 1

y = 7(1) - 15

y = 7 - 15

y = -8

(1, -8)

3 0
3 years ago
Gymnast Clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. Its cost (in dollars)
Natalija [7]

Revenue, R = 130x

Profit, P = Revenue – Cost

 P = R – C

P = 130x – 2950 + 6x + 0.1x^2

At P = 0

0 = -2950 + 136x +0.1x^2

X = 21.355, -1381.355

Therefore, manufacture greater than 21.355 items to make profit. 

3 0
3 years ago
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