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vagabundo [1.1K]
3 years ago
6

What is the solution to the inequality -6( p - 8) < -12?

Mathematics
2 answers:
Setler [38]3 years ago
6 0

Answer:

p>10

Step-by-step explanation:

\left(-6\left(p-8\right)\right)\left(-1\right)>\left(-12\right)\left(-1\right)

6\left(p-8\right)>12

\frac{6\left(p-8\right)}{6}>\frac{12}{6}

p-8>2

p-8+8>2+8

p>10

coldgirl [10]3 years ago
3 0

Answer:

p > 10

Step-by-step explanation:

Given

- 6(p - 8) < - 12

Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity.

p - 8 > 2 ( add 8 to both sides )

p > 10

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What is 2/5 divided 4/7 equal to?<br><br> A. 7/5<br> B. 7/10<br> C. 10/7<br> D. 5/7
Andru [333]

5/7 so D is your final answer.

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If f(x)=2x^2+5 sqaure rooted(x-2)
Mazyrski [523]

Answer:                                                                                                                             f(3) = 23

Step-by-step explanation:

Put 3 where x is in the expression for f(x) and do the arithmetic.

... f(3) = 2·3^2 +5√(3-2)

... f(3) = 18 + 5 = 23

6 0
3 years ago
Which property explains why these two expression's are equal?<br> 5(g+h)=5g+5h
user100 [1]

Answer:

c

Step-by-step explanation:associative: a+(b+c)=(a+b)+c

commutative: a+b=b+a

distributive: a(b+c)=ab+ac

inverse: I think it is a times 1/a=1, doesn't matter

4 0
3 years ago
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Gavin likes biking. He never misses a chance to go for a ride when the weather is nice. This week his goal is to bike about 65 t
andreyandreev [35.5K]

Answer:

How far should he ride on each of the four days to reach his goal?

1st day: 8 miles

2nd day: 12 miles

3rd day: 18 miles

4th day: 27 miles

Step-by-step explanation: As the problem says, x is the number of miles he rides on the first day. Let's start off with that.

1st day: x miles

He want to ride 1.5 times as far as he rode the day before... no 1.5 more, but 1.5 <em>times</em> as far as he rode the day before; you would multiply 1.5 with the previous day's length.

2nd day: 1.5x

Then you multiply 1.5 to 1.5x to get the third day's.

3rd day: 2.25x

4th day: 3.375x

----------------------------

Phew! Gavin wants to ride a total of 65 miles over these four days, so if Gavin added all the miles of the four days, he should get 65...

1st+2nd+3rd+4th=65

x+1.5x+2.25x+3.375x=65

8.125x=65

\frac{8.125x}{8.125}=\frac{65}{8.125}

x=8

Yes! Now that we've got the hard part done... substitute 8 for ever single x.

1st day: 8 miles

2nd day: 1.5(8)=12 miles

3rd day: 2.25(8)=18 miles

4th day: 3.375(8)=27 miles

-------------------------

Checking my answer:

Just add the miles!

8+12+18+27=65

65=65

✓

-----------------------

Hope that helps! :D



5 0
3 years ago
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77julia77 [94]
Exact Form:
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Decimal Form:
0.4
8 0
3 years ago
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