340 x 0.03 = 10.2 (in state)
84 x 0.11 = 9.24 (out of state)
10.2 + 9.24 + 11.25
= $30.69 monthly charge
hope it helps :)
The total monthly charge for a customer is given as $30.69.
What is simplification?Simplifying allows us to test each process and strategy to determine which is the most efficient and best suited for its specific goal.
here,
A phone provider costs each customer $11.25 per month. Furthermore, it charges $0.03 per minute for in-state calls and $0.11 for out-of-state calls.
Charge within the boundary of state for 340 minutes = 340 x 0.03 = 10.2
Charge beyond the boundary of state for 84 minutes = 84 x 0.11 = 9.24
Total monthly charge = 10.2 + 9.24 + 11.25
= $30.69 monthly charge
Thus, A customer's total monthly price is shown as $30.69.
Learn more about simplification here:
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Solve the equation below by completing the square. Circle the number that is added to both sides. x2 - 10x = -18
Answer:
x = ±[tex]\sqrt{7}[/tex] - 5
Step-by-step explanation:
x^2 - 10x = -18
x^2 - 10x + 18 = 0
(x + 5)^2 - 5^2 + 18 = 0
(x + 5)^2 - 7 = 0
(x + 5)^2 = 7
[tex]\sqrt{(x + 5)^2}[/tex] [tex]=[/tex] ±[tex]\sqrt{7}[/tex]
x = ±[tex]\sqrt{7}[/tex] - 5
8. A 20 point test was given to two classes. Each class had results shown in the box plots below. Which of the
two classes has the greater interquartile range?
A machine takes 15 minutes to scan 1,125 pages. At this rate, how many pages can the machine in a hour?
Answer:
4500 pages
Step-by-step explanation:
an hour has 60 minutes. This means in 1 hour the machine will scan 60/15 more pages. 60/15 =4.
1125*4 =4500 pages/hour
In one hour the machine will scan 4500 pages.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a machine takes 15 minutes to scan 1,125 pages.
The machine takes 15 minutes to scan 1,125 pages.
Then, in 1 minute, it will scan (1125/15) = 75 pages.
So, in 1 hour, it will scan -
x = 75 x 60
x = 4500
Therefore, in one hour the machine will scan 4500 pages.
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Solve for u. (u + 6)(u − 6) = 0
Answer:
u= 6, -6
Step-by-step explanation:
simplify the equation. Isolate the variable.
Hey there!
(u + 6)(u − 6) = 0
DISTRIBUTE “u” WITHIN the PARENTHESES
u(u) + (-6) + 6(u) + 6(-6) = 0
u^2 - 6u + 6u - 36 = 0
COMBINE the LIKE TERMS
u^2 - 36 = 0
ADD 36 to BOTH SIDES
u^2 - 36 + 36 = 0 + 36
CANCEL out: -36 + 36 because it gives you 0
KEEP: 0 + 36 because it helps solve for the u-value
NEW EQUATION: u^2 = 0 + 36
SIMPLIFY IT!
0 + 36 = 36
NEW EQUATION: u^2 = 36
TAKE the SQUARE ROOT
u = ± √36
u = -6 or u = 6
Therefore, your answer is: u = 6 or u = -6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The probability of event A is 0. 48, the probability of event A and B is 0. 21, and the probability of events A or B is 0. 89. What is the probability of event B? 0. 09 0. 20 0. 27 0. 62.
Probabilities are used to determine the chances of an event
The probability of event B is 0.62
The probabilities are given as:
[tex]\mathbf{P(A) = 0.48}[/tex]
[tex]\mathbf{P(A\ and\ B) = 0.21}[/tex]
[tex]\mathbf{P(A\ or\ B) = 0.89}[/tex]
To calculate the probability of event B, we make use of the following formula
[tex]\mathbf{P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)}[/tex]
So, we have:
[tex]\mathbf{0.21 = 0.48 + P(B) - 0.89}[/tex]
Collect like terms
[tex]\mathbf{P(B)= -0.48 +0.21 + 0.89}[/tex]
[tex]\mathbf{P(B)= 0.62}[/tex]
Hence, the probability of event B is 0.62
Read more about probabilities at:
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A baseball traveled 330 feet in 5 seconds. Which rate is equivalent to the rate at which the baseball traveled?
Answer:
the baseball traveled 66 feet per second if that helps
Step-by-step explanation:
At the school dance, between 6 and 7pm, 10 students per minute arrived. If there are 2050 students in the school,
what percent of them arrived at the dance between 6 and 7pm?
Answer:
600 is 29.268292682927% of 2050.
29.30% rounded off 1 decimal place (tenths)
29.27% rounded off 2 decimal places (hundredths)
Step-by-step explanation:
6-7pm is 1 hr.
1hr = 60 min
10 students per min
60 min * 10 = 600
600 ÷ 2050 = 0.29268292682927 = 29.268292682927%
Catherine walks her dog
[tex] \frac{3}{4} [/tex]
mile everyday. How far does she walk each week?:
Answer:
[tex]5\frac{1}{4}[/tex]
Step-by-step explanation:
Catherine walks her dog 3/4 a mile everyday.
We want to find how far she walks each week.
There are 7 days a week and she walks 3/4 a mile everyday so weekly she walks 3/4 * 7 = 5 1/4 mile a week.
can anyone please help
Answer:
Adult tickets = $73.5
Child tickets = $20.5
Step-by-step explanation:
[tex]{ \rm{3x + 5y = 50 - - - \{eqn \: 1 \}}} \\ { \rm{x + 5y = 31 - - - \{eqn \: 2 \}}} \\ [/tex]
• Subtract eqn 2 from eqn 1:
[tex]{ \rm{2x = 21}} \\ { \rm{x = 10.5}}[/tex]
[tex]{ \rm{10.5 + 5y = 31}} \\ { \rm{5y = 20.5}} \\ { \rm{y = 4.1}}[/tex]
If you subtract 17 from my number and multiply the difference by -2, the result is -10." What is the number?
Answer:
22
Step-by-step explanation:
-10/-2 is 5
5+17 is 22
The instructions for a fruit drink say to mix one part blackcurrant juice with four parts water. I
want to make one litre of this fruit drink. How much blackcurrant juice should I use? Give your
answer in millilitres.
ml
Answer:
you should use minimum 8 black cur
Find e and d
3e+d=8
2e+d=8
Answer:
Step-by-step explanation:
i need help with this like... now besties
if h(t) = 220 + 1.5x represents the height of a chair lift as a function of time where t is time (in seconds) and h is height (in feet). What would the ordered pair (12, 334) represent on the coordinate plane?
Step-by-step explanation:
it represents a point on the line defined by the function equation.
it means that after 12 seconds the chair lift will have reached a height of 334 ft (after a starting height of 220 ft).
Complete the tables of values. X 4â’x â’1 4 0 a 2 b 4 c a = b = c = x ( 2 3 ) x â’1 3 2 0 d 2 e 4 f d = e = f =.
The corresponding values of d, e ad f are 1, 1/16, and 1/256 respectively
Find the table of values attached. From the given table the function of the output is expressed as [tex]g(x) = 4^{-x}[/tex]
If x = 0, then;
[tex]g(0) = 4^{-0}\\g(0) = 1/4^0\\g(0)=1/1 = 1\\[/tex]
If x = 2
[tex]g(2) = 4^{-2}\\g(2) = 1/4^2\\g(2)=1/16[/tex]
If x = 4;
[tex]g(4) = 4^{-4}\\g(4) = 1/4^4\\g(4)=1/256[/tex]
Therefore the corresponding values of d, e ad f are 1, 1/16 and 1/256 respectively
Learn more on table of functions here: https://brainly.com/question/3632175
Answer:
a = ⇒ 1
b = ⇒ 1/16
c = ⇒ 1/256
d = ⇒ 1
e = ⇒ 4/9
f = ⇒ 16/81
Given that a [] b = b2 + a. Evaluate 2 [] (6[] - 5).
Answer:
963
Step-by-step explanation:
Evaluate 6 | - 5 , then the outside part, that is
6 | - 5 ( with a = 6 and b = - 5 )
= (- 5)² + 6 = 25 + 6 = 31
Now evaluate 2 | 31 ( with a = 2 and b = 31 )
= 31² + 2 = 961 + 2 = 963
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 65% pure antifreeze. The company wants to obtain 195 gallons of a mixture that contains 20% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Answer:
Five Gallons Of Water
Step-by-step explanation:
If u mixed it to Antifreeze And U have A Premium Solution U can Mixed it
I NEED HELP!!!
solve x^3 - 6x^2 - 7x + 60 by factoring. show all work
(using the method in the picture below)
Answer: x = -3, 5, 4
Step-by-step explanation:
Don't have time for it
help!! due tommorrow
Answer:
a and d
Step-by-step explanation:
these simplify to .77 for A and .81 for B
please help me :(
NO LINKS PLEASE
Answer:
Option A
Step-by-step explanation:
Given equation is:
[tex]x^2+1=2x-3[/tex]
Setting it up as a quadratic equation.
[tex]x^2+1-2x+3=0\\\\x^2-2x+4=0[/tex]
Comparing it with quadratic equation [tex]ax^2+bx+c=0[/tex], we get:
a = 1 , b = -2 , c = 4
Putting the values in quadratic equation:
[tex]\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
A
Step-by-step explanation:
a = 1, b = -2, and c =4
d = -b +- sqrt (b^2 - 4*a*b)
= - (-2) +- sqrt ((-2)^2 - 4*1*4)
The function f(x)is graphed on the coordinate plane.
What is f(−2)?
Enter your answer in the box.
f(−2) =
Answer:
f(-2) = -2
Step-by-step explanation:
f(-2) means find the y value when x = -2
The y value when x = -2 is-2
f(-2) = -2
20) A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test
Answer:
50-50 chance I suppose (1/2 or 5/10) or 40% to 60% percent chance
Step-by-step explanation:
He can guess all of the questions and get all of them right, and it is a possibility that he can also get all of them wrong. So I say, 50-50. I can't lie, I'm having trouble with probability as we speak.
Find the slope-intercept equation of the line
that passes through (5, -3) and has a
slope of -1/2
Answer:
y = -1/2x - 1/2
Step-by-step explanation:
lmk if you want an explanation
Multiply (5.6 x 10") (6.1 x 10* )and write the
answer in scientific notation.
Answer:
3.416 x 10^(" + * + 1)
Step-by-step explanation:
The exponents of (5.6 x 10") (6.1 x 10* ) seem incorrect. Whatever they are, do the following:
1) multiply 5.6 times 6.1. Result = 34.16
Add the two exponents: (" + *)
The result is 34.16 x 10^(" + *)
Then move the decimal point one to the left and add 1 to the 10 exponent:
3.416 x 10^(" + * + 1)
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool? PLEASE HELP THE CORRECT ANSWER WILL GET BRAINLIEST ANSWER
Answer:
71/120
Step-by-step explanation:
Solve the following system of equations.
3x^2 + 4y^2 = 76
5x^2 - 3y^2 = -28
Solution(s):
Answer:
[see below]
Step-by-step explanation:
I graphed the system of equations.
When graphed, the two equations intercept 4 times.
(-2,4), (2,4), (-2, -4), and (2, -4) are the solutions to the system.
Hope this helps.
I need help with this question
Answer:
The time may be calculated by making the equations equal each other:
2w +7 = .5w + 10
1.5w = 3
weeks = 2
Step-by-step explanation:
The table shows the average temperatures of different cities on a particular day. On a number line, which city's temperature will be between the temperatures of Manning and Stanville?
Answer:
chicken tender
Step-by-step explanation:
rgerr
Answer:
Step-by-step explanation:
Please help me on question two
Answer:
The following are the answers of questions asked above :-
a) 40
b) 4
c) 4000
What is the value of q in the equation 49 - 2 = 39+8?
q
=
10
0 -
7
10
7
06
0 10
Answer:
The is no "q" in the equation provided. If there is supposed to be, please add it. Otherwise, q is undefined. It can have any value. I choose 0.
Step-by-step explanation:
The data in this table represents a linear function.
What is the slope of this line?
2/7
1/3
3
7/2
Answer:
3
Step-by-step explanation:
[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} = 3[/tex]
X = 5 – 2 = 3
Y = 16 – 7 = 9
[tex]0 = arctan(\frac{y}{x}) = 71.565051177078°[/tex]
[tex]Distance (d) = \sqrt{X2} + Y2 = \sqrt{90} = 9.4868329805051[/tex]
Equation of the line:
y = 3x + 1
When x=0, y = 1
When y=0, x = -0.33333333333333
