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scoundrel [369]
2 years ago
10

A car is traveling at a rate of 40 miles per hour. What is the car's rate in kilometers per hour? How many kilometers will the c

ar travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Mathematics
2 answers:
nekit [7.7K]2 years ago
6 0

1 mile = 1.6 kilometers

 multiply 40 mph by 1.6 = 64

car's rate = 64 kilometers per hour


multiply kilometers per hour by 4 = 256

 car will travel 256 kilometers in 4 hours

xxMikexx [17]2 years ago
5 0
What he said. Multiply 40 by the numbers
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Could you help me to solve the problem below the cost for producing x items is 50x+300 and the revenue for selling x items is 90
s344n2d4d5 [400]

Answer:

Profit function: P(x) = -0.5x^2 + 40x - 300

profit of $50: x = 10 and x = 70

NOT possible to make a profit of $2,500, because maximum profit is $500

Step-by-step explanation:

(Assuming the correct revenue function is 90x−0.5x^2)

The cost function is given by:

C(x) = 50x + 300

And the revenue function is given by:

R(x) = 90x - 0.5x^2

The profit function is given by the revenue minus the cost, so we have:

P(x) = R(x) - C(x)

P(x) = 90x - 0.5x^2 - 50x - 300

P(x) = -0.5x^2 + 40x - 300

To find the points where the profit is $50, we use P(x) = 50 and then find the values of x:

50 = -0.5x^2 + 40x - 300

-0.5x^2 + 40x - 350 = 0

x^2 - 80x + 700 = 0

Using Bhaskara's formula, we have:

\Delta = b^2 - 4ac = (-80)^2 - 4*700 = 3600

x_1 = (-b + \sqrt{\Delta})/2a = (80 + 60)/2 = 70

x_2 = (-b - \sqrt{\Delta})/2a = (80 - 60)/2 = 10

So the values of x that give a profit of $50 are x = 10 and x = 70

To find if it's possible to make a profit of $2,500, we need to find the maximum profit, that is, the maximum of the function P(x).

The maximum value of P(x) is in the vertex. The x-coordinate of the vertex is given by:

x_v = -b/2a = 80/2 = 40

Using this value of x, we can find the maximum profit:

P(40) = -0.5(40)^2 + 40*40 - 300 = $500

The maximum profit is $500, so it is NOT possible to make a profit of $2,500.

3 0
3 years ago
john needed 13.71 feet of wire to fix a lamp he bought 14 half feet of wire how much did he have left ver​
motikmotik
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Just subtract the two values:

14.5 - 13.71 = 0.79

He had 0.79 feet of wire left

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0
3 years ago
Read 2 more answers
Which postulate proves that △ABC and △EDC are congruent?
Diano4ka-milaya [45]

The correct answer is SAS.


It's given that BC is congruent to CD and AC is congruent to CE. And by Vertical Angles theorem, Angle BCA is congruent to DCE.

7 0
3 years ago
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Alisiya [41]

Answer:

63

Step-by-step explanation:

the first one is 9x bigger then the second one

so 7x9 is 63

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Rzqust [24]

Answer:

In an equation of the form y = mx + b the slope is represented by "m".

Therefore, the slope of  y= 2/3 x +5  is (2/3)

Step-by-step explanation:


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2 years ago
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