4.2(3.9r – 5.9s) 7.9s – 9.53r
Answer:
D
Step-by-step explanation:
i just did the quiz
On average, sloths spend 16.5 hours per day sleeping. what percent of the day do sloths spend sleeping? round your answer to the nearest percent.
PLEASE HELP AND BRAINLYEST ANSWER TO CORRECT ANSWER
195 s; minutes
a. 4.5 min
b. 3 min
c. 3.25 min
d. 2.5 min
A plumber charges a $45 fee to make a house call and then $25 for each hour of labor. The plumber uses an equation in the form y=mx +b to determine the amount to charge each customer. What is the value of m in the equation?
Answer:
Let x represents the number of hours of labor and y represents the total charges.
Since, in the given situation,
The total charges = A fixed charge for house call + Extra charge per hours,
Fixed charge for house call = $ 45,
Extra charges for every hour = $ 25,
⇒ Extra charge for x hours = 25 x,
Thus, the total charges for x hours,
y = 45 + 25 x
Which is the required equation that will use to determine the amount to charge each customer.
By comparing this equation with y = mx + c,
m = 25
Marta walked at 3.9 miles per hour for 0.72 hours. How far did she walk?
Which term describes the dotted line in the quadrilateral?
A. vertex
B. side
C. diagonal
D. angle ...?
what is 40% in fraction form
To write a percent as a fraction in lowest terms, first remember that a percent is a ratio that compares a number to 100. In this case, 40% can be written as the ratio 40 to 100 or [tex]\frac{40}{100}[/tex]. Notice however that [tex]\frac{40}{100}[/tex] is not in lowest terms so we need to divide the numerator and the denominator by 20 which gives us [tex]\frac{2}{5}[/tex].
Reg sells cars. he makes a base salary of $25,000, plus $1500 per car he sells. the function that models this situation is s = 1500x 25000. after working at the car dealership for 2 years, he gets a raise. he now makes $1700 per car he sells. what is the new function that models this situation?
is (4,2) a solution to the system y-x=2 and -3x -2y= -8
How do i describe the shape of the graph of each cubic function by determining the end behavior and number of turning points?
for ex. y=3x^3-x-3 ...?
PLEASE HELP ME IM TRYING TO GET THIS DONE AND NOBODY IS HELPING ME Triangle ABC below is reflected over the y-axis.
a What are the coordinates of the reflected triangle
b Describe in words what happened to the x coordinates and the y coordinates of the original triangles vertices as a result of this reflection
The marginal revenue function on sales of q units of a product is R'(q)=240-18√q dollars per unit.
Estimate the total revenue if sales are 100 units.
What is the marginal revenue at 100 units?
Estimate the total revenue if sales are 101 units.
...?
The marginal revenue for 100 units sold is 180 dollars per unit. We cannot precisely estimate the total revenue for 100 or 101 units sold without further information.
Explanation:In this problem, we're dealing with the concept of marginal revenue. The marginal revenue function gives us the change in total revenue for each additional unit sold. That is given in this case as R'(q)=240-18√q.
To find the marginal revenue at 100 units, we simply substitute q = 100 into our function: R'(100)=240-18√100 = 240 - 18*10 = 180 dollars per unit.
The total revenue given a specific quantity is typically found by integrating the marginal revenue function. However, without the constants of integration or the original revenue function, we cannot accurately compute the total revenue for 100 or 101 units sold in this case.
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what is the greatest common factor of 51 and 68
What number is 0.77% of 900?
Solve the inequality 2x - 3 < x 2 ≤ 3x 5. show your work
Answer:
-3/2 ≤ x < 5
Step-by-step explanation:
2x - 3 < x + 2 ≤ 3x+5
Solve the inequality separately
2x-3 <x+2 and x+2≤ 3x+5
LEts solve one by one
2x-3 <x+2
Subtract x from both sides
x -3 < 2
add 3 on both sides
x< 5
x+2≤ 3x+5
Subtract 3x from both sides
-2x + 2 ≤ 5
Subtract 2 from both sides
-2x ≤ 3
Divide both sides by -2
x ≥ -3/2
we got x>= -3/2 and x<5
so x lies between -3/2 and 5
-3/2 ≤ x < 5
The solution to the given inequality is -3/2 ≤ x < 5.
To solve the given inequality: 2x - 3 < x + 2 ≤ 3x + 5, we can break it down into two separate inequalities and solve them individually.
2x - 3 < x + 2:
Subtracting x from both sides:
2x - x - 3 < x - x + 2
x - 3 < 2
Adding 3 to both sides:
x - 3 + 3 < 2 + 3
x < 5
Now x + 2 ≤ 3x + 5:
Subtracting x from both sides:
x - x + 2 ≤ 3x - x + 5
2 ≤ 2x + 5
Subtracting 5 from both sides:
2 - 5 ≤ 2x + 5 - 5
-3 ≤ 2x
Dividing both sides by 2:
-3/2 ≤ x
Combining the results from both inequalities:
-3/2 ≤ x < 5
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Which is the graph of linear inequality x-2y>-12 help!
Answer:
The below attached graph shows the given inequality.
Step-by-step explanation:
Here, the given inequality,
x - 2y > -12
Since, related equation of the inequality,
x - 2y = -12
Which is a line passes through (-12, 0) and (0, 6)
Also, '>' represents dotted line,
So, join these two points by dotted line in the coordinate plan,
Now,
0 - 2(0) > -12 (True)
i.e. shade the region of the line that contains origin.
By the above explanation we will get the graph of given inequality ( shown below )
An equation of the line tangent to y=sinx+2cosx at (pi/2, 1) is
A. 2x-y=pi-1 B. 2x+y=pi+1 C. 2x-2y=2-pi D. 4x+2y=2-pi I got A
solve the equation. Check for extraneous solutions.
[tex]2|7-7x|=2x+4 [/tex]
Answer: The answer is [tex]\dfrac{5}{8},~\dfrac{3}{2}[/tex] and no extraneous solution.
Step-by-step explanation: The given equation is
[tex]2|7-7x|=2x+4.[/tex]
We are given to solve this equation and also find its extraneous solution.
The solution is as follows:
[tex]2|7-7x|=2x+4\\\\\Rightarrow |7-7x|=x+2\\\\\Rightarrow 7-7x=x+2,~~~~~-7+7x=x+2\\\\\Rightarrow 8x=5,~~~~~~~~~~~~~~~~\Rightarrow 6x=9\\\\\\\Rightarrow x=\dfrac{5}{8},~~~~~~~~~~~~~~~~~\Rightarrow x=\dfrac{3}{2}.[/tex]
now, for [tex]x=\dfrac{5}{8}[/tex], we have
[tex]L.H.S.=2|7-7\times \dfrac{5}{8}|=\dfrac{21}{4},\\\\R.H.S.=2\times\dfrac{5}{8}+4=\dfrac{21}{4}.[/tex]
So, this solution is not extraneous.
For [tex]x=\dfrac{3}{2}[/tex], we have
[tex]L.H.S.=2|7-7\times \dfrac{3}{2}|=7,\\\\R.H.S.=2\times\dfrac{3}{2}+4=7.[/tex]
So, this solution is also not extraneous.
Hence, the solution is [tex]\dfrac{5}{8},~\dfrac{3}{2}[tex] and there is no extraneous solution.
What does 15/6 equal turned into a mixed fraction?
Baby jacobs birth weight was 10 pounds one week after being born his weight was 9 pounds what was the percent of decrease in jacobs weight
The table shows the result of a restaurant survey.
Meals Service Good Service poor Total
Lunch 49 39 88
Dinner 19 15 34
Total 68 54 122
Find the probability the service was poor, given that the meal was dinner.
Three dentists wanted to compare the ages of their patients. They each calculated their patients’ mean age and the mean absolute deviation of their ages. They displayed the results in a table.
Which statements are true?
Choose exactly two answers that are correct.
DentistMean patient ageMAD
Appiah439.7
Cantwell2913.9
Singh4114.1
A. Dr. Appiah’s patients’ ages vary more than do Dr. Cantwell’s patients’ ages.
B. Dr. Appiah’s patients’ ages vary less than do Dr. Singh’s patients’ ages.
C. Dr. Cantwell’s patients’ ages and Dr. Singh’s patients’ ages vary about the same amount.
Which of the following is the inverse function of y = 3x + 1?
x = 3y + 1
y = (1/3)x + 1/3
y = (x – 1)/3
y = x/3 - 1
Answer:
Option C is the correct answer : [tex]y=\frac{(x-1)}{3}[/tex]
Step-by-step explanation:
[tex]y=3x+1[/tex]
For finding the inverse of this function, we will interchange x and y, then solve for y.
[tex]3y=x-1[/tex]
[tex]y=\frac{x-1}{3}[/tex]
Hence, option C is the correct answer : [tex]y=\frac{(x-1)}{3}[/tex]
A winter jacket is marked down 75% from its original price. according to the new price tag, it now costs $52.50. what was the original price? $210.00
The product of 8 and the sum of 4 and a number is 112. What is the number?
Which equation could be used to solve for the number?
A common rule is that housing expenses should not be more than 28% of your monthly income. Your monthly income is $3,200. How much can you spend on housing?
Answer:
less than $896.00
Step-by-step explanation:
A common rule is that housing expenses should not be more than 28% of your monthly income.
your monthly income = $3,200
so your housing expense should not be more than 28% of $3,200
= [tex]\frac{28}{100}[/tex] × 3,200
= 0.28 × 3,200 = $896.00
So you can spend less than $896.00 on housing expenses.
Solve -23.7 + d = -48.57.
-4.62
-46.2
-24.87
-72.27
Answer:-24.87 is the correct answer, i checked it!
Step-by-step explanation:
Solve for x. Express the answer in simplest form.
Create a log expression, using the laws of logs, that simplifies to 7^x = 64.
This makes no sense to me! Help!
What are the log laws?
To create a log expression that simplifies to 7^x = 64, we need to use the logarithmic and exponential laws.
Explanation:To create a log expression that simplifies to 7^x = 64, we need to use the logarithmic and exponential laws.
First, we can rewrite the exponential equation as a logarithmic equation, which is x = log7(64).Next, we can use the logarithmic property that states logb(ax) = x * logb(a). Applying this property, we have x = log7(26) = 6 * log7(2).Therefore, the log expression that simplifies to 7^x = 64 is x = 6 * log7(2).
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