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ser-zykov [4K]
3 years ago
10

find a number such that if you add 8 and divide the result by 4 you will get the same answer as id you subtracted 3 from origina

l number and divided by 2
Mathematics
1 answer:
podryga [215]3 years ago
7 0

Answer:

(x + 8) / 4 = (x - 3) / 2     | *4

x + 8 = 2 * (x - 3)

x + 8 = 2 * x - 6

8 = x - 6

14 = x

The number is 14.

(14 + 8) / 4 = (14 - 3) / 2

22 / 4 = 11 / 2

5.5 = 5.5


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What is the quantity proportional to 18/6
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Answer:

18/6=3

Step-by-step explanation:

18/6÷3=6/2

6/2=3

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Solve for h in h+6/5=2
Ivenika [448]

Answer:

h=4/5

Step-by-step explanation:

h +  \frac{6}{5}  = 2

Collect like terms and simplify

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Solve.<br><br> 3 = –(–y + 6)
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3=−(−y+6)

Simplify:

3=−(−y+6)

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3=y−6

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Answer is third option no.4

8 0
3 years ago
Read 2 more answers
8. The speed of the current in a river is 6 mph. A ferry operator who works that part of the river is looking to buy a new boat
Natali [406]
Answer: the speed of the boat on the lake is 9 mph
Step-by-step explanation:
Let x represent the speed of the boat on the lake or in still water.
The speed of the current in a river is 6 mph. This means that if the boat goes upstream against the speed of the current, its total speed would be (x - 6)mph. If the boat goes downstream against the speed of the current, its total speed would be (x + 6)mph.
Time = distance/ speed
Every day, his route takes him 22.5 miles each way against the current and back to his dock, and he needs to make this trip in a total of 9 hours. This means that the time taken to travel upstream is
22.5/(x - 6). The time taken to travel downstream is
22.5/(x + 6)
Since the total time is 9 hours, it means that
22.5/(x - 6) = 22.5/(x + 6)
Cross multiplying, it becomes
22.5(x + 6) + 22.5(x - 6) = 9
Multiplying through by (x + 6)(x - 6), it becomes
22.5(x - 6) + 22.5(x + 6) = 9[(x + 6)(x - 6)]
22.5x - 135 + 22.5x + 135 = 9(x² - 6x + 6x - 36)
22.5x + 22.5x = 9x² - 324
9x² - 45x - 324 = 0
Dividing through by 9, it becomes
x² - 5x - 36 = 0
x² + 4x - 9x - 36 = 0
x(x + 4) - 9(x + 4) = 0
x - 9 = 0 or x + 4 = 0
x = 9 or x = - 4
Since the speed cannot be negative, then x = 9
3 0
2 years ago
Read 2 more answers
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