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sashaice [31]
3 years ago
12

mia wants to earn 2500 in her job at a bycicle store she is paid 55 for every bycicle she tunes up the minimum number of bycicle

s mia needs to tune up to reach her goal of 2500
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
5 0
Answer: 46

Explanation: If Mia is paid $55 for every bicycle, she would need to fix up/sell 46 bicycles. This is because 45 x 55 = 2475 and Mia wants over 2500 but 46 x 55 = 2530. Therefore, 46 is the minimum number of bicycles.
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A gardener has 520 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe
Bond [772]

The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>

The given parameter is

Perimeter, P = 520 feet

Represent the shorter side with x and the longer side with y

One side of the garden is bordered by a river:

So the perimeter is:

P = 2x + y

Substitute P = 520

2x + y = 520

Make y the subject

y = 520 - 2x

The area is

A = xy

Substitute y = 520 - 2x in A = xy

A = x(520 - 2x)

Expand

A = 520x - 2x^2

Differentiate

A' = 520 - 4x

Set to 0

520 - 4x = 0

Rewrite as:

4x= 520

Divide by 4

x= 130

Substitute x= 130 in y = 520 - 2x

y = 520 - 2 *130

Evaluate

y = 260

The area is then calculated as:

A = xy

This gives

A = 130 * 260

Evaluate

A = 33800

Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

Read more about area at:

brainly.com/question/24487155

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7 0
1 year ago
Explain why any of the four operations placed between two terms 5 and -3 sqrt (8) will result in an irrational number
Gnoma [55]

Sum/difference:

Let

x = 5 + (-3\sqrt{8}) = 5-3\sqrt{8}

This means that

3\sqrt{8} = 5-x \iff \sqrt{8} = \dfrac{5-x}{3}

Now, assume that x is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that x was rational, which proves that the sum/difference of the two given terms was irrational

Multiplication/division:

The logic is actually the same: if we multiply the two terms we get

x = -15\sqrt{8}

if again we assume x to be rational, we have

\sqrt{8} = -\dfrac{x}{15}

But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.

7 0
3 years ago
Bob can ride his bike 6.5 miles in 20 minutes what is the rate of speed in miles per hour
vladimir2022 [97]

Answer:

19.5 miles per hour

Step-by-step explanation:

We need to change 20 minutes to hours

1 hours = 60 minutes

20 minutes * 1 hour/60 minutes = 1/3 hour

To find miles per hour we take the miles and divide by hours

6.5 miles

---------------- = 19.5 miles per hour

1/3 hours

7 0
3 years ago
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It takes 36 hours for Maya to design a new sweater. How many sweaters will she be able to design completely in 30 working days i
disa [49]
The answer is .....ALOT. JK. the real answer is 6 or 7 new sweaters.
3 0
3 years ago
Z to the power of 5 times z to the power of 6.<br><br> this equation is exponets.
zheka24 [161]

Answer:

z^11

Step-by-step explanation:

since both terms have "z" and the operation is multiplication, you <u>add</u><u> </u><u>the exponents</u><u> </u>together

6 0
3 years ago
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