Answer: a. 36-17 <0.04x ⇒ 475 < x
b. When the number of calls is higher than 475 , Plan 1 is more economical than Plan 2.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
The cost of plan 1 (36) must be less (<) than the cost of plan 2 (fixed charge [17] plus the product of the charge per call [0.04] and the number of calls [x] )
a.36 < 17+ 0.04x
Solving for x
36-17 <0.04x
19 < 0.04x
19 /0.04 <x
475 < x
b. When the number of calls is higher than 475 , Plan 1 is more economical than Plan 2.
Prachi, the office manager at a private practice, identified several quantitative relationships surrounding a patient's visit and wait time and modeled them with the following functions:
Answer: W(P(t))
Step-by-step explanation: look at the letter infront of the ()
The waiting time for a patient is given by the expression w(p(t)).
What is a quantitative relationships?The relationship between objects (or objects' components) in terms of their relative number, size, or degree. ratio. two quantities' respective magnitudes (usually expressed as a quotient).A statement function is referred to by utilizing its name as an operand in an expression together with any parameters it has. Voici how execution is carried out: Actual arguments are assessed if they are expressions. There are comparable fake arguments and real arguments.A resume's summary statement can assist in guiding the reader from your present training and experience to the kind of job you are looking for. Your summary statement should be three to five lines long and should highlight your qualifications for the position you're applying for as well as the industry.To learn more about quantitative relationships refer to:
https://brainly.com/question/25316214
#SPJ2
PLEASE HELP me solve algebraically. J) 4(1-2j) = 7(2j + 10) K) 4/3h=12 L) n/5= 2 + n/3 M) d/4 - 2/3 = 2 N= 7= -2 (-3 - x)
Answer:
J ) j = - 3,
K ) h = 9,
M ) d = - 24,
N ) x = 1 / 2
Step-by-step explanation:
J )
[tex]4(1-2j) = 7(2j + 10),\\4-8j=14j+70,\\-8j=14j+66,\\\\-22j=66,\\j = - 3,\\\\Solution, j = - 3[/tex]
I applied the distributive property, resulting in the second step. Afterwards I subtracted 4 from either side of the equation, received - 22j = 66 after combining like terms, and divided - 22 on either side to get j = -3.
K )
[tex]4 / 3h = 12,\\4h = 36,\\h = 36 / 4 = 9\\\\Solution, h = 9[/tex]
Multiplying each end of the equation by 3 resulted in the simplified expression 4h = 36. Dividing either side by 4, I got h = 9.
M )
[tex]d / 4 - d / 3 = 2,\\3d - 4d = 24,\\- d = 24,\\\\Solution, d = - 24[/tex]
Taking the LCM of 4 and 3, I got 12, multiplying either side by 12 / 12. Combining like terms and dividing - 1 on either side of the equation - d = 24, I received d = - 24.
N )
[tex]7 = - 2 * ( - 3 - x ),\\- 3 - x = - 7 / 2,\\- x = - 1 / 2,\\\\Solution, x = 1 / 2[/tex]
After dividing the first equation by - 2 on each end, I received a simplified equation that, by adding 3 on it's part, got x to be = 1 / 2
Create a trinomial where the GCF of the trinomial is 5m^3
Answer:
5m^5 + 15m⁴ + 35m³
Step-by-step explanation:
GCF means greatest common factor.
The Greatest common factor of two monomials for example, is the product of the common prime factors of both monomials.
We are to develop a trinomial which would have 5m³ as its greatest common factor.
To Create a trinomial where the GCF of the trinomial is 5m³, we would find a trinomial that can't be factored and multiply it by 5m³.
A trinomial is a polynomial which has three terms (monomials) connected by addition or subtraction.
Let's consider the trinomial m² + 3m + 7
This trinomial cannot be factored because there are no common factors between them. The constants to be considered are 3 and 7.
3 is a prime number and therefore can only be factored to 1 and 3.
7 is a prime number and therefore can only be factored to 1 and 7.
Since there are no common factors other than 1, the constants cannot be factored.
By multiplying 5m³ with the trinomial m² + 3m + 7
We would have:
5m³ (m² + 3m + 7) = 5m^5 + 15m⁴ + 35m³
From the above, the trinomial where the GCF of the trinomial is 5m³ = 5m^5 + 15m⁴ + 35m³
Emily has a bag of 20 fruit flavoured sweets 7 of the sweets are strawberry flavoured 11 are lime flavour and two are lemon flavour Emily takes a random sweet from the bag write down the probability that emily took the orange flavour
ANSWER: 0
IT IS BECAUSE THERE IS NO ORANGE FLAVOURED SWEET.
= 0/20 = 0
The graphs below have the same shape. What is the equation of the red
graph?
Answer:
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
Realize that the red graph is simply the blue graph shifted downwards. Hence, we simply need to subtract the units shifted from the original equation.
We see that the red graph shifted downwards by 3 units. Thus, we simply need to subtract three from the original equation.
Thus we have:
[tex](4-x^2)-3[/tex]
Which gives:
[tex]1-x^2[/tex]
Here, 1 is also the y-intercept, verifying our answer.
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
The answer is A.
Step-by-step explanation:
As you multiply first equation by -5, you will get the coefficient of x is -5. So when both equations add up, you will eliminate x variable as -5 + 5 = 0, leaving y variable for the solutions.
Answer:
A.
Step-by-step explanation:
If we multiply the first equation by -5 we'll get -5x.
Then on adding the x terms are eliminated.
The graph of which function passes through the point (0,2/pi)?
y=cos-1(x)
y=csc-1(x)
y=sec-1(x)
y=sin-1(x)
thanks!
Answer:
[tex]y=sin^{-1}x[/tex]
Step-by-step explanation:
Given: A point is [tex](0,2\pi)[/tex]
To find: function whose graph passes through the given point
Solution:
A trigonometry explains the relationship between the sides and the angles of the triangle.
The inverse trigonometric functions [tex]sin^{-1}x\,,\,cos^{-1}x\,,\,tan^{-1}x[/tex] help to find the value of an unknown angle of a right triangle when length of two sides are given.
Consider [tex]\sin y=x[/tex]
Put [tex]y=2\pi[/tex]
[tex]sin 2\pi=0[/tex]
So, point [tex](0,2\pi)[/tex] satisfies the function [tex]y=sin^{-1}x[/tex]
Therefore, graph of function [tex]y=sin^{-1}x[/tex] passes through [tex](0,2\pi)[/tex]
Answer:it’s A y=cos^1(x)
Step-by-step explanation:
Edge 2020
If there are 16 ounces in a pound. How many pounds are in 24 ounces?
Answer: 1.5 pounds
Step-by-step explanation: 16 oz(one pound) + 8oz(half a pound)= 24oz
Please answer correctly ASAP !!!!!!!! Will mark brainliest !!!!!!!!!
Answer:
(x-2) (x+2)
I'll explain in comments if you need
Find the percent change if 70 is changed by 12
Answer:
[tex]82.8571428571[/tex] %
Solution:
[tex]70*x/100=12[/tex]
[tex]x/100=12/70[/tex]
[tex]70x=1200[/tex]
[tex]x=1200/70[/tex]
[tex]x=17.1428571429[/tex]
[tex]100-17.1428571429=82.8571428571[/tex]
C is the midpoint of AD. B is the midpoint of AC. BC = 14. What is
the length of BD?
Answer:
Length of segment BD = 42 units
Step-by-step explanation:
Since C is the midpoint of AB,
Then segment AC = segment CD
Since B is the midpoint of BC,
Then the length of segment AB = Length of segment BC = 14 units
Length of AC = 2 × (14)
= 28 units
Length of AC = length of CD = 28 units
Length of segment BD = Length of BC + length of CD
= 14 + 28
= 42 units
Therefore, length of segment BD is 42 units.
Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees
Step-by-step explanation:
Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees
Based on the side lengths given (a, b, and o, which triangles are right triangles?
Answer:
2 & 3
Step-by-step explanation:
Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex].
If the values given in each option satisfy the theorem, the sides will make a right triangle.
For Option One:[tex]4^2+6^2=8^2\\=> 4^2=16\\=> 6^2=36\\=>8^2 =64\\16+36=64\\\boxed{52\neq 64}[/tex]
The sides would not make a right triangle.
For Option Two:[tex]6^2+8^2=10^2\\=> 6^2 = 36\\=> 8^2=64\\=> 10^2=100\\36+64=100\\\boxed{100=100}[/tex]
The sides would make a right triangle.
For Option Three:[tex]5^2+6^2=\sqrt{61}^2\\ => 5^2=25\\=>6^2=36\\=>\sqrt{61}^2=61\\ 25+36=61\\\boxed {61=61}[/tex]
The sides would make a right triangle.
For Option Four:[tex]6^2+9^2=12^2\\=> 6^2=36\\=>9^2=81\\=>12^2=144\\36+81=144\\\boxed{117\neq 144}[/tex]
The sides would not make a right triangle.
The correct answer should be options two and three.
Carl wants to put up a glow-in-the-dark sticker display on his bedroom ceiling. He needs a gallon of black paint which costs $12. The stickers cost $18 per package and he wants to buy 2 packages. Which of the following is a good estimation of how much change Carl will get back if he gives the cashier $60?
Answer:3a ?
Step-by-step explanation:
Answer:
✈️?
Step-by-step explanation:
a man travels 600km apart by train and partly by car.it takes 8 hours 40 min if he travels 320km by train and rest by car. it would take 30min more if he travels 200km by train and rest by car . find the speed of the train and by separately.
Answer: speed of train = 94.53 km/h
Speed of car = 59.98 km/h
Step-by-step explanation:
Let x = speed of the train
Let y = speed of the car
The total distance travelled by the man is 600 km. It takes 8 hours 40 min if he travels 320km by train and rest by car. This means that the distance travelled by car is 600 - 320 = 280km
60 minutes = 1 hour
The total time of travel = 8 + (40/60) = 8.67 hours
Total time = total distance/total speed
8.67 = 320/x + 280/y
320/x = 8.67 - 280/y
320/x = (8.67y - 280)/y
Cross multiplying, it becomes
320y = x(8.67y - 280)
y = x(8.67y - 280)/320- - - - - - - - - - -1
it would take 30min more if he travels 200km by train and rest by car. The total time would be 8.67 + 0.5 = 9.17 hours
Distance covered by the car is 600 - 200 = 400 km
Therefore,
9.17 = 200/x + 400/y
200/x = 9.17 - 400/y
200/x = (9.17y - 400)/y
Cross multiplying, it becomes
200y = x(9.17y - 400)
y = x(9.17y - 400)/200 - - - - - - - 2
Equating equation 1 to equation 2, it becomes
x(8.67y - 280)/320 = x(9.17y - 400)/200
Dividing both sides by x, it becomes
(8.67y - 280)/320 = (9.17y - 400)/200
Cross multiplying, it becomes
200(8.67y - 280) = 320(9.17y - 400)
1734y - 56000 = 2934.4y - 128000
2934.4y - 1734y = - 56000 + 128000
1200.4y = 72000
y = 72000/1200.4
y = 59.98 km/h
Substituting y = 59.98 into equation 1, it becomes
59.98 = x(8.67 × 52.98 - 280)/320
52.98 × 320 = x(459.3366 - 280)
16953.36 = 179.3366x
x = 16953.36/179.3366
x = 94.53 km/h
A swimming pool is being drained at a constant rate of 800 gallons per hour. After 5 hours of draining, 11,000 gallons of water remain in the pool.
Answer:
Step-by-step explanation:
In 5th hour remainder is 11,000 gal
Therefore at 4th hour 11,800 gal
At 3rd hour 12,600 gal
At 2nd hour 13,400 gal
at 1st hour 14,200 gal
Part B
At the beginning there is 15,000 gal
Before the draining began, the pool contained 14,200 gallons of water.
The water is being drained at a rate of 800 gallons per hour.
The function f(t) = 14,200 - (800t - 800)
All corresponding sides are proportional (same ratio) in similar figures. True or False
Answer:
True
Step-by-step explanation:
The corresponding sides are proportional if they have the same ratio. The statement is true.
Answer:
true
Step-by-step explanation:
A linear function has a slope of -g and a y-intercept
13. How does this function compare to the linear function that is represented
by the equation Y + 11 =-
(x-18)?
It has the same slope and the same y-intercept.
It has the same slope and a different y-intercept.
It has the same y-intercept and a different slope.
It has a different slope and a different y-intercept.
Save and Exit
Next
Submit
Mark this and retum
Answer:
It has the same slope and a different y-intercept
Step-by-step explanation:
Y + 11 = -(x-18)
Y + 11 = -x + 18
Y = -x +7
thus it has a slope of -g too but y-intercept was 7 instead of 13
please help! find the area is the parallelogram.
Answer:
24cm^2
Step-by-step explanation:
3cm times 8cm = 24cm^2
Answer:
A=b*h
Step-by-step explanation:
base=5
height=3
5*3=15
15 is the answer
49 - 3 + 9 times 8 divided by 2
Answer:
82
Step-by-step explanation:
49 - 3 + 9 times 8 divided by 2
Answer:
82
Step-by-step explanation:
49 -3 + 9*8/2
PEMDAS
Multiply and divide from left to right
49 -3 + 72/2
49 -3 + 36
Add and subtract from left to right
46 +36
82
increase as a percent:
The price of a car increased from $32 000 to $36 000.
Answer:
12.5% increase
Step-by-step explanation:
Take the new price minus the original
36000-32000 = 4000
Divide by the original
4000/32000 = .125
Multiply by 100%
.125*100%
12.5% increase
Answer:
12.5%
Step-by-step explanation:
There is an 1/8 increase and 1/8 as a percent is 12/5%
[tex] \sqrt[4]16 - 6 \sqrt[3]343 + 18 \sqrt[5]243 - \sqrt{196} [/tex]
Answer:
Step-by-step explanation:
= 2- 6*7 + 18*3 - 14
=2-42+54-14
=2 + 12- 14
= 14-14
=0
Answer:
the ans is 0
Step-by-step explanation:
=2- 6*7 + 18*3 - 14
=2-42+54-14
=2 + 12- 14
= 14-14
=0
Find the value of x for which r || S.
A) 44
B) 10
C) Can't be determined.
D) 14
Answer:
x=44
Step-by-step explanation:
For the two lines to be parallel, the two angles have to add to 180 degrees
45+3x+3 =180
Combine like terms
3x+48 = 180
Subtract 48 from each side
3x+48-48=180-48
3x=132
Divide each side by 3
3x/3 = 132/3
x =44
Find the polynomial f(x) of degree 3 has the following zeros
9, 0, -7
Answer:
x³ - 2x² - 63x
Step-by-step explanation:
Zeroes = 9 , 0 , -7
Factors = (x - 9) x (x + 7)
Polynomial = x (x - 9)(x + 7)
Polynomial = x (x² -2x - 63)
= x³ - 2x² - 63x
Find the volume of this prism.
pls ;(
Answer:
Go to google and write how to find a volume of a prism
Step-by-step explanation:
By the way what i am going to say is a small tip you can use
Go to google write ( quizlet) and you can write the name of your book the volume and the chapter rand the lesson believe me you will find what you want
If you didn't find the answers you can talk with me so i can give other programs because i have want to help you
Lauren's birthday is in January. Determine the approximate probability that her brother, Adam, also has a birthday in January.
A) 1/2
b) 1/6
c) 1/12
d) 1/144
Please helpp!!
Shaundra opened a savings account with $50.00. Every week, she added $2.50. Write a sequence to show how much money she had in her bank account after 1, 2, 3, 4, 5, and 6 weeks.
Answer:
1 = 2.50
2 = 5
3 = 7.50
4 = 10
5 = 12.50
6 = 15
Step-by-step explanation:
1 x 2.50 = 2.50
2 x 2.50 = 5
3 x 2.50 = 7.50
4 x 2.50 = 10
5 x 2.50 = 12.50
6 x 2.50 = 15
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
Solve for x. Round your answer to the nearest thousandth. a. 8.691 c. 6.474 b. 6.252 d. 12.956
Answer:
The answer is B 6.252
Step-by-step explanation:
Jennifer can do 8 math problems in 20 minutes. How long would it take her to complete a 10 question test at the same rate?
Answer:
25 minutes
Step-by-step explanation: 20 divided by 8 equals 2.5 so she take 2 and a half minutes per question. 2.5 plus 2.5 equals 5 so just add five minutes on her original time. 25 minutes
Answer:
25 minutes
Step-by-step explanation:
→You can set this problem up as a proportion, like so:
[tex]\frac{8}{10} =\frac{20}{x}[/tex]
→Cross multiply:
[tex]\frac{8x}{200}[/tex]
→Divide 200 by 8:
x = 25
A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail to in 7.5 minutes at this rate. He thinks that to find the answer, he should do the following. 1. First divide 36 houses by 30 minutes to find a unit rate of 1.2 houses per minute. 2. Then multiply 1.2 houses per minute by 7.5 minutes to get 9 houses. Which statement is correct? Mark’s method is wrong, because it is impossible to deliver mail to 1.2 houses in a minute. The carrier can only deliver to a whole number of houses. Mark’s method is wrong, because it is impossible to deliver mail for 7.5 minutes. The carrier can only deliver mail for a whole number of minutes. Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute. Mark’s method is correct, because it is possible to deliver mail for 7.5 minutes; 7.5 represents the unit rate of 7.5 minutes per house.
Answer:
Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.
Step-by-step explanation:
Let's rule out the options given one by one.
Option 1: Mark’s method is wrong, because it is impossible to deliver mail to 1.2 houses in a minute. The carrier can only deliver to a whole number of houses.
This is not true, because 1.2 is a rate, it just means that the carrier can finish 1 house in a minute, and also have time to get started delivering to the second house. The total number of houses has to be a whole number, but the rate doesn't.
Option 2: Mark’s method is wrong, because it is impossible to deliver mail for 7.5 minutes. The carrier can only deliver mail for a whole number of minutes.
This option is also incorrect. Delivering mail for 7.5 minutes just means 7 minutes and 30 seconds, which is definitely possible.
Option 3: Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.
This option is correct. 1.2 is the rate of which the carrier delivers mail.
Option 4: Mark’s method is correct, because it is possible to deliver mail for 7.5 minutes; 7.5 represents the unit rate of 7.5 minutes per house.
This option is also incorrect. Although it is possible to deliver mail for 7.5 minutes, it is not the unit rate, it is the total amount of time it would take.
Answer:
Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.
Step-by-step explanation: