The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x = 0 representing the year 2000, the graph below models this scenario.
Answers
What number will complete the point-slope equation that models this scenario?
y -50,000 =______(x -10)
A.) -3,000
B.) -2,000
C.) 2,000
D.) 3000
Answer :A.) -3,000
x = 0 representing the year 2000, circulation was 80,000.
x =10 representing the year 2010,circulation was 50,000.
Point slope equation is
, where m is the slope and (x1,y1) is one of the point
We have two points, (0,80000) and (10,50000)
Now we need to find slope (m)
=
So answer is y -50,000 =-3000(x -10)
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On Wednesday Heather ran 3 miles in 30 minutes. If she ran for 45 minutes at this rate on Thursday, how far did Heather run on Thursday?
Answers
Answer:
170
Step-by-step explanation:
Ann, Ben, and Cindy were eating strawberries.
The ratio of the numbers of berries they ate is 5:5:7.
If Cindy ate 30 strawberries less than Ann and Ben together,
find:
what is the total number of strawberries the three of them ate?
solution:
add the ratios 5 + 5 + 7 = 17
since Cindy ate 30, less than Ann and Ben together so, the equation is
7x = 5x + 5x - 30
7x - 10x = -30
x = 30/3
x = 10
ann 5 x 10 = 50
ben 5 x 10 = 50
cindy 7 x 10 = 70
total = 170
Final answer:
By using the ratio and the given information that Cindy ate 30 strawberries less than Ann and Ben combined, we deduced that each part of the ratio corresponds to 15 strawberries. Therefore, all three kids ate in total 255 strawberries.
Explanation:
The first thing you need to do is to use the ratio. 5 parts belong to Ann, another 5 parts belong to Ben and the remaining 7 parts belong to Cindy, which totals 17 parts altogether. We know that Cindy ate 30 strawberries less than Ann and Ben combined, so in terms of the ratio, Ann and Ben make up 10 parts together (5+5) and Cindy's 7 parts are equal to these 10 parts minus 30. Let's denote one part with the letter 'x'. So 10x = 7x + 30, leading to x=15. Now we know that each 'part' in the ratio is equal to 15 strawberries. So, to find the total strawberries they ate you just need to multiply this by the total ratio parts, which is 17. Thus, they ate 17 x 15= 255 strawberries in total.
Learn more about Ratio here:
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Answers
Answers
Answer: $11,839.16
Step-by-step explanation:
Use the compounded annually formula: , where:
- A is the accumulated amount (total amount)
- P is the principle (amount invested)
- r is the interest rate (in decimal form)
- t is the time (length of time the principle amount was invested)
Answers
If the ratio is 3:2 then you add that together to get 5.Which tell you what one group would equal. Then you divide 120 by 5 to get an answer of 24. If women is equal to 2 out of a total of 5, then you multiply 24 by 2 to get 48.
Answers
P = 6 a
6 a = 60
a = 60 : 6
a = 10 in
The area :
A = 6 · a² √3 / 4
A = 6 · 10² √3 / 4 = 600√3 / 4 = 150 √ 3 in²
Answer:
The hexagon`s area is 150√3 in².
Answer:
Hence, the area of polygon is:
259.8 inches^2.
Step-by-step explanation:
We know that a regular hexagon is a polygon consisting of six equal sides.
Let 'a' be the side length of the hexagon.
We are given perimeter of hexagon=60 in.
This implies.
Perimeter=6a
⇒ 60 =6×a
⇒ a=60/6
⇒ a=10 inches.
Now we know that the area(A) of regular hexagon with side 'a' is given by:
Now, on putting the value of a we get.
Hence, the area of polygon is:
259.8 inches^2.