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Afina-wow [57]
3 years ago
11

What number would complete the pattern? 107 98 90 83 77 68 65

Mathematics
1 answer:
tatiyna3 years ago
8 0
The numbers are part of an arithmetic progression, where the difference between each succeeding number is reduced by 1 each time. Between 107 and 98, the difference is 9. Between 98 and 90, the difference is 8, and so on. This is shown below:

107 - 98 = 9
98 - 90 = 8
90 - 83 = 7
83 - 77 = 6
77 - x = 5
x - 68 = 4
68 - 65 = 3

From that, we can solve for x using either of the equations:

77 - x = 5
x = 77 - 5
x = 72

Therefore 72 would complete the pattern.

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Please help me with this question
mihalych1998 [28]

Answer:

John and Pam are paid $8.5 for each hour worked. John's share of the money is $29.75.

Step-by-step explanation:

Let x = the hourly salary. John worked for 3.5 hrs, and Pam for two. We can represent this using the equation:

3.5x + 2x = 46.75, where the coefficients equals the amount of hours.

Let's solve for x!

5.5x=46.75

x = 46.75/5.5 = 17/2 = 8.5

John and Pam are paid 8.5 dollars per each hour worked.

To figure out John's share of the money, we will multiply the wage by the hours he worked.

8.5 x 3.5 = 29.75

8 0
3 years ago
Find the missing angle in the triangle,<br> x°<br> 36°<br> 111°
andriy [413]

Answer:

33°

Step-by-step explanation:

you add the two numbers together and subtract from 180° to get your answer

7 0
3 years ago
A tree casts a shadow 21m long. The angle of elevation of the sun is 55 degrees. What is the height of the tree?
Orlov [11]

Answer:

The height of the tree is about 30 feet.

Step-by-step explanation:

tan(55) = h/21

*21          *21

21*tan(55)=h

29.99=h

h=29.99=30 feet

4 0
3 years ago
Eleanor and her little sister Joanna are responsible for two chores on their family’s farm, gathering eggs and collecting milk.
iris [78.8K]

Answer:

4 dozens

Step-by-step explanation:

<em>Find Eleanor and Joanna's ratio of eggs to milk</em>

Eleanor:

<em>Dozen eggs : gallons of milk</em>

9 : 3

3 : 1

Joanna:

<em>Dozen eggs : gallons of milk</em>

2 : 2

1 : 1

<em>They gather one gallon of milk each which means Joanna has 1 dozen eggs and Eleanor has 3 dozens of eggs.</em>

Total dozen of eggs = 3 + 1 = 4

Therefore, total dozen of eggs the family have per week is 4 dozens.

4 0
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Si el peso de la figura es de 80 N cuales son las tensiones en las cuerdas a y b
Sauron [17]

Answer: Can you translate for me? I don't know spanish.

Step-by-step explanation:

:)

8 0
3 years ago
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