Solve the logarithmic equation<br><br> log(3x)+log(2x)=3

A rental truck costs $96 per day plus $0.60 per each mile. If Calvin can spend a maximum of $120, how many miles can he drive th

nikdorinn [45]

Answer:

40 miles

Step-by-step explanation:

You would have to start by doing $120 - $96 for the per-day fee, which leaves Calvin with $24 to spend on miles.

Next you would do $24 ÷ $0.60 to find the number of miles he can drive, which is 40 miles.

5 0

3 years ago

In the United States, a person eats more than 40,000 pounds of bread in a lifetime if she or he lives to be 80 years old. Does t

Shalnov [3]

Look at some shorter periods of time to decide whether their reasonable. Do that by simplifying the fraction. . . . . 40,000 pounds / 80 years = 4,000 pounds / 8 years = 2,000 pounds (1 ton) / 4 years = 1,000 pounds / 2 years (have you decided yet ? Well, simplify it some more) 1,000 pounds / 2 years = 500 pounds per year = almost 1 and 1/2 pounds of bread every day of your life. NOW what do you think ? Make sense ?

8 0

3 years ago

Your friend says that the absolute value equation |3x+8|−9=−5 has no solution because the constant on the right side of the equa

xenn [34]

$Solution, solve\:for\:x,\:\left|3x+8\right|-9=-5\quad :\quad x=-4\quad \mathrm{or}\quad \:x=-\frac{4}{3}$

$Steps:$

$\left|3x+8\right|-9=-5$

$\mathrm{Add\:}9\mathrm{\:to\:both\:sides},\\\left|3x+8\right|-9+9=-5+9$

$\mathrm{Simplify},\\\left|3x+8\right|=4$

$|f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a,\\3x+8=-4\quad \quad \mathrm{or}\quad \:\quad \:3x+8=4$

$3x+8=-4,\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides},\\3x+8-8=-4-8,\\\mathrm{Simplify},\\3x=-12,\\\mathrm{Divide\:both\:sides\:by\:}3,\\\frac{3x}{3}=\frac{-12}{3},\\\mathrm{Simplify},\\x=-4$

$3x+8=4,\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides},\\3x+8-8=4-8,\\\mathrm{Simplify},\\3x=-4,\\\mathrm{Divide\:both\:sides\:by\:}3,\\\frac{3x}{3}=\frac{-4}{3},\\\mathrm{Simplify},\\x=-\frac{4}{3}$

$Combine\:the\:ranges,\\x=-4\quad \mathrm{or}\quad \:x=-\frac{4}{3}$

$\mathrm{The\:Correct\:Answer\:is\:No\:They\:Are\:Not\:Correct}$

$\mathrm{Hope\:This\:Helps!!!}$

$\mathrm{-Austint1414}$

4 0

2 years ago

A bottle of coke cost 3/4 as much as a $5 milkshake. How much would 3 bottles of coke and 2 milkshakes cost?

Eduardwww [97]

Answer:

Total, 2 milkshakes, and 3 cokes would cost $12.50

Step-by-step explanation:

The cokes cost $11.50 and the milkshakes $10.00

3 0

1 year ago

Read 2 more answers

A hat contains slips of paper with the names of the 26 other students in Eduardo's class on them, 10 of whom are boys. To determ

Andrej [43]

Answer:

$\frac{24}{65}$

Step-by-step explanation:

Total number of students in the class = 26

Number of boys in the class = 10

Number of girls in the class = 26 - 10 = 16

The formula for probability is :

$\text{Probability}=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}$

In this case the favorable outcomes would be the number of girls in the class and total outcomes would be the total number of students in the class.

Eduardo has to pull out two names from the hat. Since there are 16 girls in the class of 26, the probability that the first name will be of the girl will be = $\frac{16}{26}$

After picking up the 1st name, there would be 25 names in the hat with 15 names of girls as one of the girl is already been chosen. So,

The probability that the second name would belong to a girl = $\frac{15}{25}$

The probability that both the partners will be girls will be equal to the product of two individual probabilities as both the events are independent.

Therefore,

The probability that both of Eduardo's partners for the group project will be girls = $\frac{16}{26} \times \frac{15}{25} = \frac{24}{65}$

8 0

3 years ago

Solve the logarithmic equation log(3x)+log(2x)=3