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tigry1 [53]
3 years ago
5

Plz help! I will make you the brainliest! Thanks!

Mathematics
2 answers:
NeX [460]3 years ago
6 0
-5x < 10

Divide the two sides by -1.
If an inequality form is divided by negative number, the sign will change.
-5x < 10
-5x/-1 > 10/-1
5x > -10

Then divide the two sides by 5
5x/5 > -10/5
x > -2

The answer is -2
Andrews [41]3 years ago
4 0
So to start you will need to divide by -5 then -5 divided by -5 cancelle
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Elias was given a lock for his school locker. The lock contains numbers between
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Answer:

34,220

Step-by-step explanation:

Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:

\binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{60}{3}=\frac{60!}{3!(60-3)!}\\\\\binom{60}{3}=\frac{60!}{3!(57)!}\\\\\binom{60}{3}=\frac{60*59*58}{3*2*1}\\ \\\binom{60}{3}=34220

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2 years ago
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7 0
3 years ago
"Bert has half as much money as Ernie. If Ernie loses $225 and Bert earns $675, Bert will have twice as much money as Ernie. How
Rzqust [24]

Answer: Ernie has $750 and Bert has \dfrac{750}{2}=\$375

Step-by-step explanation:

Let the amount that Ernie has be 'x'.

Let the amount that Bert has be \dfrac{x}{2}

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Amount gained by Bert = $675

According to question, we get that

2(x-225)=\dfrac{x}{2}+675\\\\2x-450=\dfrac{x}{2}+675\\\\2x-\dfrac{x}{2}=675+450\\\\\dfrac{4x-x}{2}=1125\\\\\dfrac{3x}{2}=1125\\\\x=\dfrac{1125\times 2}{3}\\\\x=\$750

Hence, Ernie has $750 and Bert has \dfrac{750}{2}=\$375

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3 years ago
1+Sin/Cos + Cos/1+Sin = 2Sec
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Step-by-step explanation:

Consider the left-hand side:

\dfrac{1+\sin{\theta}}{\cos{\theta}} + \dfrac{\cos{\theta}}{1+\sin{\theta}}

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\:\:\:\:=\dfrac{1+2\sin{\theta}+\sin^2{\theta} + \cos^2{\theta}}{\cos{\theta}(1+\sin{\theta})}

\:\:\:\:=\dfrac{2+2\sin{\theta}}{\cos{\theta}(1+\sin{\theta})} =\dfrac{2(1+\sin{\theta})}{\cos{\theta}(1+\sin{\theta})}

\:\:\:\:= \dfrac{2}{\cos{\theta}} = 2\sec{\theta}

7 0
3 years ago
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