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Aloiza [94]
3 years ago
10

30. The table below shows the number of ants in an ant farm on different

Mathematics
1 answer:
Nitella [24]3 years ago
4 0

Answer:

a)10

b)5120

Step-by-step explanation:

Given that number of ants double after every ten days, form a table that shows numbe of ants from day 1 to day 91

Day                                                  Number of Ants

1                                                                       10

11                                                                      20

21                                                                     40

31                                                                     80

41                                                                     160

<em>51                                                                    320-----------------given</em>

<em>61                                                                    640------------------given</em>

<em>71                                                                    1280----------------given</em>

81                                                                   2560

91                                                                    5120

Using the given values for number of ants and the number of days, you can notice the trend for values of days and number of ants.After every ten days, number of ants doubles.Using this information, you can navigate backwards up to day 1 and forward up to day 91

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Q. Mrs. Jackson purchased 8/9 lb of potatoes. She used 3/4 of the potatoes to prepare dinner. How much of the potatoes did Mrs.
kompoz [17]

Answer:

The answer is 5/36

Step-by-step explanation:

first, you are going to convert both of the fractions to have the same dinominator by multiplying by any of their factors.

32/36 - 27/36 = 536

Then you subtract the numerators and that's it

hope I helped :)


7 0
2 years ago
1) At Joe's Restaurant, one-fourth of the
andrew11 [14]

Answer:

<u>1/20 of the patrons at Joe's restaurant are expected to be male and out of town.</u>

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Proportion of patrons that are male at Joe's restaurant = 1/4

Proportion of patrons that are from out of town at Joe's restaurant = 1/5

2.  What  proportion would you expect to be  male and out of town?

For finding the proportion of the patrons, that would be male and that would be from out of town, we do this calculation:

Proportion of patrons that are male at Joe's restaurant * Proportion of patrons that are from out of town at Joe's restaurant

<u>1/4 * 1/5 = 1/20 </u>

<u>It means that 1/20 of the patrons at Joe's restaurant are expected to be male and out of town.</u>

8 0
3 years ago
Need help with a simple problem 2^x=3^x+1
KiRa [710]
For x\ \textgreater \ 0, 2^x\ \textless \ 3^x, all the more 2^x\ \textless \ 3^x+1, therefore no solution.

For x=0, we have 2^0=3^0+1 \Rightarrow 1=1+1 \Rightarrow 1=2. Obviously that' false.

For x\ \textless \ 0 both 2^x and 3^x, where 2^x\ \textgreater \ 3^x, belong to the range (0,1), then 3^x+1 belong to the range (1,2).
Those ranges don't have a common part, therefore, again, no solution.

So, the equation 2^x=3^x+1 doesn't have a solution.

4 0
3 years ago
Circle K has a diameter of 24 inches. Find the exact length of semicircle HJI. In your final answer, include all of your calcula
Svet_ta [14]
A semicircle's perimeter is half the perimeter of the complete circle.

The perimeter of the complete circle is its circumference which is found by the equation: πD.

Then the equation of the perimeter of the semicircle is πD/2

In this case D = 24 in, then the perimeteir is π (24in/2) = 12π in ≈ 37.7 in

Answer: The exact length is 12π inches and the approximate length is 37.7 inches


4 0
3 years ago
Read 2 more answers
Show the original equation, then solve for x
Lina20 [59]

Answer: 24.7

cos 54° = x/42

⇔ x = 42. cos 54°

⇔ x ≈ 24.7

Step-by-step explanation:

6 0
3 years ago
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