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Lynna [10]
3 years ago
13

How many hours he worked

Mathematics
1 answer:
Bogdan [553]3 years ago
4 0
8.50x+100=308.25
subtract 100 from both sides
8.5x = 208.25
divide 8.5 from both sides
x= 24.5 hours worked
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Fifteen more than twice the hours Carla worked last week is the same as three times the hours she worked this week decreased by
lapo4ka [179]
2x-15=3(x-15) 
2x-15=3x-45
2x+30=3x
30=x

Let's check this work!

2(30)-15=3(30-15)
60-15=3(15)
45=45

She worked 45 hours each week

 *the reason it is 2x-15 and not 15+2x is because "more than" is considered a "turn around word" meaning it is the opposite
3 0
3 years ago
Evaluate each logarithm. Do not use a calculator. ln ^3 square root e^4
Alona [7]

Answer:

\large\boxed{\ln\sqrt[3]{e^4}=\dfrac{4}{3}}

Step-by-step explanation:

\text{Use}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\ln a^n=n\ln a\\\\\ln e=1\\-----------\\\\\ln\sqrt[3]{e^4}=\ln e^\frac{4}{3}=\dfrac{4}{3}\ln e=\dfrac{4}{3}\cdot1=\dfrac{4}{3}

6 0
3 years ago
What are the zeros of (x-2)(x^2-9)
WARRIOR [948]
(x-2)(x^2-9)=0\iff x-2=0\ or\ x^2-9=0\\\\x-2=0\ \ \ \ |add\ 2\ to\ both\ sides\\\\\boxed{x=2}\\\\x^2-9=0\ \ \ \ |add\ 9\ to\ both\ sides\\\\x^2=9\iff x=\pm\sqrt9\to \boxed{x=-3\ or\ x=3}\\\\Answer:\boxed{x=-3\ or\ x=2\ or\ x=3}
3 0
3 years ago
two years of local internet service cost $6855, including the installation fee of $85. What is the monthly fee?
Artemon [7]
First subtract the installation price:
6855-85= 6,770

Then divide 6,770 by 24(12 months in 1 yr.):
6770/24= $282.08

Your monthly fee is $282.08
5 0
3 years ago
Can someone pls help me / alguien me puede ayudar
user100 [1]

Answer:

The simplified expression is:

\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)=0.2y+0.2x-8

Step-by-step explanation:

Given the expression

\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

=\frac{2}{5}y+\frac{1}{5}x-0.2y-6-2

\mathrm{Group\:like\:terms}

=\frac{2}{5}y-0.2y+\frac{1}{5}x-6-2

Add similar elements

=0.2y+\frac{1}{5}x-6-2

=0.2y+\frac{x}{5}-6-2

=0.2y+\frac{x}{5}-8

=0.2y+0.2x-8

Thus, the simplified expression is:

\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)=0.2y+0.2x-8

6 0
3 years ago
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