Answer:
35 pounds of $8.00 tea and 15 pounds of $6.00 tea
Step-by-step explanation:
Let x represent the pounds of tea of the $8 kind. 8x would represent the total cost of that type of tea. We can also say 50 - x is the pounds of tea of the $6 kind, so 6(50 - x) is the total cost of that type of tea. 50 * 7.4 represents the total cost of all the tea, and the expression 8x + 6(50 -x) would also represent the same thing. We can write this as an equation,
8x + 6(50 -x) = 50 * 7.4
simplify,
8x + 300 - 6x = 370
2x + 300 = 370
and solve.
2x = 70
x = 35
This means there is 35 pounds of the $8 kind.
We can subtract that from 50 to find,
50 - 35 = 15,
15 pounds is the amount of the $6 kind.
Slope = (Y2-Y1) / (X2-X1)
hope that's helpful
Answer:
8 < x < 22
Step-by-step explanation:
If x is the third side , then
difference of 2 sides < x < sum of 2 sides , that is
15 - 7 < x < 15 + 7
8 < x < 22
Answer:
1) Decimal 
2) Binary 
3) Octal 
4) Hexadecimal 
Step-by-step explanation:
Given : Integer is 25
To find : Represent integer in decimal, binary, octal, and hexadecimal formats.
Solution :
1) Integer into decimal - To convert into decimal the base goes to 10.
So, 
2) Integer into binary - To convert into binary the base goes to 2, it form in 0 and 1 and we divide integer by 2.
Divide 25 by 2 and note down the remainders.
2 | 25
2 | 12 R=1 ←
2 | 6 R=0 ↑
2 | 3 R=0 ↑
2 | 1 → R=1 ↑
So, 
3) Integer into octal - To convert into octal the base goes to 8 and we divide integer by 8.
Divide 25 by 8 and note down the remainders.
8 | 25
| 3 → R=1
So, 
4) Integer into hexadecimal - To convert into hexadecimal the base goes to 16 and we divide integer by 16.
Divide 25 by 16 and note down the remainders.
16 | 25
| 1 → R=9
So, 
9514 1404 393
Answer:
D. Henry's started farther, went faster
Step-by-step explanation:
Henry's balloon traveled 18 additional miles (from 30 to 48) in 2 hours, so had a speed of 18mi/(2h) = 9 mi/h. The equation for his position could be ...
y = 9x +30 . . . . . 9 is the rate of change; 30 is the initial value
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Comparing this to Tasha's position function, we see her balloon started 20 miles from town and traveled 8 miles per hour.
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Henry started farther from town and traveled faster.