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lawyer [7]
3 years ago
9

Francis earns $3.50 an hour mowing lawns, and bella earns $5.25 an hour babysitting and spends $11 a week on books. francis also

gets $4.10 a week allowance. if francis and bella work the same amount of hours a week and have the same amount of money at the end of each week, for how many hours a week do they each work
Mathematics
1 answer:
aleksklad [387]3 years ago
6 0

The only way for you to get an answer is by doing $5.25x2=$10.5 and $3.50x3=$10.50

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A container manufacturer plans to make rectangular boxes whose bottom and top measure 4x by 3x. The container must contain 48in.
alex41 [277]

The height of the container that will be able to minimize the cost will be 3.08cm.

<h3>How to calculate the height?</h3>

The volume of the box will be:

= (3x)(4x)h

= 12x²h

From the information given, we are told that the container must contain 48in³. Therefore,

48 = 12x²h

h = 4/x²

The function cost will be:

= 3.50(2)(12x²) + 4.40(14x)h

= 84x² + 61.6x(4/x²)

= 84x² + 246.4/x

We'll use the first derivative. This will be:

dC/dx = 168x - 246.4/x²

x = 1.14.

Therefore, the height will be:

h = 4/x² = 4/1.14² = 3.08cm

In conclusion, the height is 3.08cm.

Learn more about height on:

brainly.com/question/1557718

4 0
2 years ago
Which number is a factor of 24, but not a multiple of 2
Montano1993 [528]
A factor of 24 but not 2 it would be 3
6 0
3 years ago
Read 2 more answers
What to the tenth power can get you 300
OLEGan [10]

Answer:

1.7689 (rounded to 4 decimal places)

Step-by-step explanation:

Let the number we are seeking be "x", thus we can write the equation as:

x^{10}=300

Since we have raised "x" to the "10th power", to get "x" back again, we need to take 10th root. Same goes for right side, we take 10th root of 300. We will get our answer. The process shown below:

x^{10}=300\\\sqrt[10]{x^{10}} =\sqrt[10]{300} \\x=\sqrt[10]{300} \\x=1.7689

hence, 1.7689 raised to 10th power will give us 300

5 0
3 years ago
Your dogs water bowl is 3/4 full. After taking a drink, the water bowl is 1/3 full. What fraction of the bowl did your dog drink
makvit [3.9K]

Answer:

The dog drank 5/12 of the bowl

Step-by-step explanation:

Common denominator

3/4 = 9/12

1/3 = 4/12

9/12 - 4/12 = 5/12

8 0
2 years ago
Read 2 more answers
What is the circumference of a circle whose radius is 13?
Inessa05 [86]

Answer:

Circumference, C = 81.68 units

Step-by-step explanation:

Given that,

The radius of the circle, r = 13 units

We need to find the circumference of the circle. The circumference of a circle is the sum of the outer boundary. For a circle, it is given by :

C=2\ \pi r

C=2\ \pi \times 13

C = 81.68 units

So, the circumference of the circle is 81.68 units. Hence, this is the required solution.

7 0
2 years ago
Read 2 more answers
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