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4 years ago

Ben bowled 139 and

2 answers:

8 0

First, add 139+184=323.
Then multiply 170 to 3 to get the total number of points he must get to achieve that average.
170 multiplied to 3 gives you 510.
Then subtract 500- (139+184)= 187. This is the number of points Ben must get in his third game to have an average of 170

QveST [7]4 years ago

3 0

Answer:

187

Step-by-step explanation:

Were gonna start by writing an equation (139+184+x)/3=170 because were adding a 3rd value to the average and x is going to be our value that were looking for. If you solve that, you get 187. Hope this helps.

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A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

3 years ago

Write an equatiob of line in slope intercept from passing through (-10,-8) and parallel to y=1/5x-3

IgorC [24]

Parallel = same slope
Y = 1/5x + b
Plug in point
-8 = 1/5(-10) + b
-8 = -2 + b, b = -6
Equation: y = 1/5x - 6

7 0

3 years ago

a granulated cylinder actually contains 7.5 mL of water when Han measures the volume of the water inside the granulated cylinder

vladimir1956 [14]

Answer:

14.5

Step-by-step explanation:

7 0

3 years ago

Find the exact values of all three trigonometric functions for each angle.

My name is Ann [436]

Answer:

Sin (270º)= -1

Cos (270º) = 0

Tan (270º) = -∞

Sin (330º) = -0.5

Cos (330º) = $\frac{\sqrt{3} }{2}$ = 0.8660

Tan (330º) = - $\frac{\sqrt{3} }{3} \\$ = -0.57735

Step-by-step explanation:

3 0

3 years ago

A model ship is built to a scale of 1 cm : 5m. The length of the model is 25 cm. What is the length of the actual ship?

Anestetic [448]

Answer:

<em>The length of the actual ship is 125 meters.</em>

Step-by-step explanation:

<u>Scaling</u>

Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling for example, when representing geographic locations on a map.

A model ship is built to a scale of 1 cm: 5 m. This means that each centimeter of the model represents an actual length of 5 m.

The length of the model is 25 cm, thus the real ship has a length of 25*5 = 125 m.

The length of the actual ship is 125 meters.

7 0

3 years ago