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Jlenok [28]
3 years ago
5

A number decreased by 5 is less than 32

Mathematics
1 answer:
Irina18 [472]3 years ago
3 0
X=unknown number
x-5<32

to solve add 5 to each side
x<37
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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
3+ 5/7x_&gt;_1+x?<br> Hdjdhdudjdjdheirhdhfhhfh
Gnesinka [82]

Answer:

Step-by-step explanation:

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7 0
3 years ago
HELP MEE I HAVE TO TURN IT IN TOMORROW
schepotkina [342]
The answer would be 80
7 0
3 years ago
4 boys share 3 granola bars equally. How much each boy gets?
ruslelena [56]
3bars/4boys=0.75bars per boy. or 3/4th bars per boy.
3 0
3 years ago
May so someone please help from 7-10 it’s 11 points I think
Aleks04 [339]

Answer:

7 / 2, or 3.5 is between 3 and 4.

28 / 5, or 5.6 is between 5 and 6

9/4, or 2.25, is between 2 and 3.

28 / 5, or 4.6, is between 4 and 5.

Step-by-step explanation:

To multiply a whole number by a fraction, the actual way to do it is to make the non-fraction over one. So, for example, if we were to do this:

2 * (1/2)

Set 2 as 2/1 (because they are equal)

(2/1) * (1/2)

Then, multiply the numerators together and denominators together.

= 1

But, we can also save time and multiply the non-fraction with the fraction's numerator.

2 * (1/2) =

(2 * 1) / 2 =

2 / 2 =

1

Let's apply this to the problems we have.

7) 5 * (7/10)

Multiply 5 and 7.

(5 * 7) / 10 = 35 / 10 = 7 / 2

This is the answer (unless you want it even more simplified, which would either be 3 and 1/2, or 3.5). However to find what numbers it is between, simplify it further.

7/2 = 3.5

7 / 2, or 3.5 is between 3 and 4.

8) 7 * (8/10)

Multiply 7 and 8.

(7 * 8) / 10 = 56 / 10 = 28/5 = 5.6

28 / 5, or 5.6 is between 5 and 6

9) 3 * (3/4)

Multiply 3 and 3.

(3 * 3) / 4 = 9 / 4 = 2.25

9/4, or 2.25, is between 2 and 3.

10) 6 * (4/5)

Multiply 6 and 4.

(6 * 4) / 5 = 23 / 5 = 4.6

28 / 5, or 4.6, is between 4 and 5.

I hope this helps! Feel free to ask any questions!

8 0
3 years ago
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