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aleksandr82 [10.1K]
3 years ago
12

PLEASE HELP Solve |10x + 15| >= 105

Mathematics
1 answer:
yan [13]3 years ago
8 0
|10x + 15| \geq 105\\
 5|2x + 3| \geq 105\\
|2x+3|\geq21\\
2x+3\geq21 \vee 2x+3\leq-21\\
2x\geq 18\vee2x\leq-24\\
x\geq9 \vee x\leq-12\\
x\in(-\infty,-12\rangle\cup\langle9,\infty)
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4 years ago
Joes age (j) is half Martha’s (m). Combined, their age is 42. What are their ages?
svp [43]

Answer:

Joe is 14.

Martha is 28.

Step-by-step explanation:

Use the variables and information from the question to make equations.

If Joe's age is half Martha's:

(1/2)m = j     OR     2j = m

If their ages combined is 42:

m + j = 42

We can substitute the equation m=2j into equation m + j = 42, replacing "m".

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3j = 42     Divide both sides by 3 to isolate j

j = 14       Joe's age

Since j = 14, we can substitute it into equation m=2j to find "m".

m = 2j       Substitute j for 14

m = 2(14)     Simplify

m = 28       Martha's age

Therefore Joe is 14 and Martha is 28.

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4 years ago
The soccer field measures 80 meters by 120 meters. Which is the correct unit of measurement to figure out how much fertilizer is
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A motor boat travels 60 miles down a river in three hours but takes five hours to return upstream. Find the rate of the boat in
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Step-by-step explanation:

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The rate downriver is (60 mi)/(3 h) = 20 mi/h.

The rate upriver is (60 mi)/(5 h) = 12 mi/h.

The rate of the boat in still water is the average of these:

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The rate of the current is the difference between the boat speed and actual speed:

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snow_tiger [21]

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Step-by-step explanation:

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2 As I said the 0.85 represent the 15% off, and when you multiply it will be less.

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