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3 years ago

5

Which fraction has a numerator of 9 and a denominator of 13?

1 answer:

drek231 [11]3 years ago

5 0

Answer: 9/13

Step-by-step explanation:

the numerator goes on the top

the denominator goes on the bottom

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Jennifer has run many marathons and keeps track of all of her finishing times. At a marathon last month, she finished in 350 min

suter [353]

Answer:

16%

Step-by-step explanation:

406 / 350 = 1.16

406 is 116% of 350

so 350 + 16% is 406

because 350 * 0.16 = 56

56 is 16%

350 + 56 = 406

:)

3 0

3 years ago

Perpendicular Lines please help me guys I'm lostt

mamaluj [8]

9 = 2(6) - b
9 = 12 - b
-3 = b

4 0

3 years ago

A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma

Gnoma [55]

Answer:

The value is $C \approx \$76$

Step-by-step explanation:

From the question we are told that

The area of the rectangular pen is $A = 24 \ yard^2$

The cost of material used to make one side is $z = \$ 6$

The cost of material used to make the other sides is $r = \$ 3$

Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

$C = zx + r (x + 2y )$

=> $C = 6x + 3(x + 2y)$

=> $C = 9x + 6y$

Now the area of the fence is mathematically represented as

$A = x* y = 24$

=> $y = \frac{24}{x}$

=> $C = 9x + 6[\frac{24}{x} ]$

=> $C = 9x + [\frac{144}{x} ]$

Now differentiating

$C' = 9 + 144* (-2) x^{-2}$

$C' = 9 - 288x^{-2}$

At minimum $C' = 0$

So

$9 - 288x^{-2} = 0$

$x^{-2} = 0.03125$

$x = \sqrt{\frac{1}{0.03125} }$

$x = 5.66$

Now substituting for x in the equation above to obtain minimum cost

$C = 9(5.66) + [\frac{144}{5.66} ]$

$C \approx \$76$

8 0

3 years ago

Nathan is a recreational cyclist. He can travel 10 miles in one hour on his bicycle. Which graph represents the number of miles

PolarNik [594]

Answer:

See attachment for graph

Step-by-step explanation:

Given

$1\ hr = 10\ miles$

Required

The graph that shows the number of miles in x hours

We have:

$1\ hr = 10\ miles$

Multiply both sides by x

$x * 1hr = 10miles * x$

$xhr=10x\ miles$

So, the function is:

$f(x) =10x$

4 0

2 years ago

Pls help will give branilest

EleoNora [17]

Hope this helps you

have a great day ^^

3 0

3 years ago