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uysha [10]
3 years ago
7

The scale used on a map is 5 millimeters represents 32 kilometers. How many millimeters represent 160 kilometers?

Mathematics
1 answer:
Anika [276]3 years ago
5 0

Use the proportion formula:

5mm/32= Xmm/160

=22.22 mm

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Ronald Dairo is helping the local indus-
nadya68 [22]

Answer:

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

Step-by-step explanation:

Papaya rosette pieces on first day = 5890

Papaya rosette Pieces on second day = 7020

Papaya rosette Pieces of third day = 8150

Let

a_1 = 5890\\a_2 = 7020\\a_3 = 8150

We can check if these numbers are part of a sequence.

In order to check, common difference will be found first.

d = a_2-a_1 = 7020-5890 = 1130\\d =a_3-a_2 = 8150-7020 = 1130

It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.

The formula for arithmetic sequence is given by:

a_n = a_1+(n-1)d

Putting the values

a_n = 5890+(n-1)(1130)\\a_n = 5890+1130n-1130\\a_n =4760+1130n

The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.

So,

a_{14}= 4760+1130(14)\\a_{14} = 4760+15820\\a_{14} = 20580

Hence,

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

5 0
3 years ago
Solve the inequality -x^2-4x+5>0
son4ous [18]
<span><span><span><span>−<span>x2</span></span>−<span>4x</span></span>+5</span>>0</span>
Let's find the critical points of the inequality.<span><span><span><span>
−<span>x2</span></span>−<span>4x</span></span>+5</span>=0</span><span><span><span>
(<span><span>−x</span>+1</span>)</span><span>(<span>x+5</span>)</span></span>=0</span>(Factor left side of equation)<span><span><span><span>
−x</span>+1</span>=<span><span><span>0<span> or </span></span>x</span>+5</span></span>=0</span>(Set factors equal to 0)<span><span>
x=<span><span>1<span> or </span></span>x</span></span>=<span>−5</span></span>
Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>
x<<span>−5</span></span>(Doesn't work in original inequality)<span><span><span>
−5</span><x</span><1</span>(Works in original inequality)<span>
x>1</span>(Doesn't work in original inequality)
Answer: −5<x<1
5 0
3 years ago
What is the probability of having 53 Mondays in a leap year?
Ronch [10]

Answer:

1/7

Step-by-step explanation:

There are 52 weeks in a year. Each have one Monday. Leap years have a total of 366 days. There are  7 days of the week. Monday is one of them, so it'll be a 1/7 chance.

5 0
4 years ago
Triangle hjk is an isosceles triangle. The measures of angles j and k are equal. The measure of angle h is 100 degrees. How do y
WITCHER [35]
Every triangle has a total of 180 degrees. If one angle measure is 100, then 180-100 is 80. This means that the other two angle measures have a total of 80. As angle j and k are equal, we divide 80 by 2, to get 40. This means that the measure of both angle j and k is 40 degrees. The measure of angle j is 40 degrees. 
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4 years ago
Someone help im so confused T-T
Svetlanka [38]

Answer:First one which is the question mark on screamers is 4 and the second one which is the question mark under runners is 15

6 0
3 years ago
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