One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month. Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.
The system of equations
c=52+8d
c−3d=82
can be used to represent this situation.
How many gigabytes would have to be used for the plans to cost the same? What would that cost be?
Answer:
Both plans would cost $100 if 6 gigabytes of data are used.
Explanation:
From the question, the system of equation are correctly represented by using small letter c to represent the total cost in dollars for both equations as already assumed in the question as follows:
c = 52 + 8d ........................... (1)
c = 82 + 3d ........................... (2)
Since c is common to both, equations (1) and (2) can therefore be equated and d solved for as follows:
52 + 8d = 82 + 3d
8d - 3d = 82 - 52
5d = 30
d = 30 / 5
d = 6
Substituting d = 6 into equation (1), we have:
c = 52 + (8 * 6)
c = 52 + 48
c = 100
Since d = 6 and c = 100, it therefore implies that both plans would cost $100 if 6 gigabytes of data are used.
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
x = -8, x = 7. It can also be put into coordinate form based off what the website is looking for.
But solutions to a quadratic equation is essentially where the line crosses the 'x' line.
Help Please 100 pts for the answer! Need answer ASAP
Answer:
-25/1 or -25
Step-by-step explanation:
Answer:
-25/1 or -25
Step-by-step explanation:
there hope this will help a lot
vertical and horizontal asymptotes
PLEASE NO LINKS AND NO NEGATIVITY
Answer:
D. Associative property of addition
Step-by-step explanation:
The associative property of addition states "Changing the group of addends does not change the sum." This means it does not matter what order you use when adding the variables together, and PEMDAS does not apply.
The commentative property of addition states the order of the numbers when adding does not change the sum. While this is true for this equation, this is not the main focus as we are still adding the same way from lines 3-4 with 6+3, instead of 3+6
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
2
Step-by-step explanation:
3:1=6:2
They buy 2 pepperoni pizzas.
What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3,1)
y= 3x + 1
y=x-3
y=2x+5
y= 2x – 5
help finals study guide please I want to just go on break
Step-by-step explanation:
(note: I'm only answering the ones I know vs giving you wrong answers for the others!)
1. ROS=Obtuse (larger then ninty degrees)
2. octagon has 8 angles (octo means eight, after all!)
3. If a figure has three sides, it is a triagle (not positive on this one)
4. symmetric property of congruence (this one's a simple search :p )
5. N/A (although I believe its angle BEC=124 degrees, as every other choice Is proven to be true)
6. congruent complements theorem (this is because we are given that 3 is a suppliment of 4. we are also given that 2=4. Based on this, then 1=3 is congruent based on 1 being suppliment of 2, 2=4, and 3 being a suppliment of 4)
7. N/A
8. N/A (the picture is too fuzzy for me to make any ideas)
I'm sorry I couldn't solve them all, but I hope this at least gets you somewhere! Have a great day!
Multiply (x^2+3x+5)(2x^2-2x+1
Answer:
2x^4+4x^3+5x^2-7x+5
Step-by-step explanation:
Hannah's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=7.1x+55 where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the yy-value when x=1?
Answer:
Expected score with 1 hour of homework
Step-by-step explanation:
what is 17/5 - 16/5 as an improper fraction
Answer: 1/5 is a proper fraction, it can not be written as a mixed or improper fraction
Step-by-step explanation:
17/5 - 16/5
1/5
thank you in advance to whoever answers this question !!!!
What is the equation of a line with a slope of 4 that passes
through point (-2,5)? A y = -1/4x - 3 B y = -4x + 5 C y = 4x + 5 D y = 4x + 13
Answer:
Solution given:
slope(m)=4
passes through (x',y')=(-2,5)
we have
equation of a line is:
y-y'=m(x-x')
substituting value we get
y-5=4(x-(-2))
y-5=4(x+2)
y-5=4x+8
y=4x+8+5
y=4x+13 is a required equation of a line.
Which of the following questions can use science as a method of inquiry?
A. How many of hours of homework should be assigned each night?
B. At what age should a person be able to drive?
C. Why does a cork float in water?
D. Should pitbulls be allowed to live in cities?
Answer:
c
Step-by-step explanation:
Find the solutions to x2 = 24.
A. x = 16.2
X
B. X= 14,6
C. X= +6.14
D. X = +216
What is the distance from point D to point C?
A.1 unit
B.2 units
C.3 units
D.4 units
Answer:
the distance from point D to point C.
B.2 units
Answer:
B:-2
Step-by-step explanation:
just count the box and you will get your answer
Question 7 high school geometry.
[tex]\huge \bf༆ Answer ༄[/tex]
In the given figure, The marked angles forms a pair of co - interior angles [ because lines l and m are parallel ]
therefore,
[tex] \sf12x - 8 + 104 = 180[/tex][tex] \sf12x + 96 = 180[/tex][tex] \sf12x = 180 - 96[/tex][tex] \sf12x = 84[/tex][tex] \sf x = 84 \div 12[/tex][tex] \sf x = 7[/tex]Hence, the value of x is ~ 7
Which of the following tables represents a function?
X 66
77
y 2 -2 3-3
x 2-2 3-3
y 55
77
x 3 -3 3-3
y 6 7
89
X 4 4 5 5
y 1 2 3 4
Answer:
x 2-2 3-3
y 5 5 7 7
Step-by-step explanation:
Each domain, or x value, can only be matched with one y value, so given this, the third one is the answer since every domain is only matched with one range, or in other words, there are no repeating domains in on the x row of the table.
The table that represents a function is
x 2 -2 4 -4
y 8 8 12 12
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A function can have many to one but a function can not have one to many.
So,
From the table,
x 2 -2 4 -4
y 8 8 12 12
This is a many-to-one function.
All the other tables are one-to-many functions.
Thus,
The table that represents a function is
x 2 -2 4 -4
y 8 8 12 12
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
Find the slope of a line perpendicular to the given line. x = - 1
6 pounds of candy cost 22.44. What is the cost of one pound
Answer:
$3.74
Step-by-step explanation:
Proportions:
6 pounds ⇔ $22.44
1 pound ⇔ $ C
C = 22.44*1/6
C = $3.74
10) $48,000 at 16% for 6 years
Answer:
No solution
Step-by-step explanation:
idek
SR1-2
Paula is standing on a bridge that is 110 above the water below. She throws a
pebble over the edge of the bridge, and it hits the top of a 24 foot high bridge
guard. The quadratic equation that models the path of the pebble is:
p(t) = –16t2 + 48t + 110
such that t is the time in seconds and p is the height of the pebble.
The time it will take the pebble to reach the maximum height is 1.5secs
Given the quadratic equation that models the path of the pebble expressed as p(t) = –16t^2 + 48t + 110
We can calculate the time taken by the pebble to reach the maximum height.
At maximum height, the velocity of the pebble is zero i.e. p'(t) = 0
p'(t) = -32t + 48
0 = -32t + 48
32t = 48
t = 48/32
t = 1.5secs
Hence the time it will take the pebble to reach the maximum height is 1.5secs
Learn more on velocity function here:https://brainly.com/question/25749514
18. A family drove 28 miles in 35 minutes. At that rate, how many minutes would it take the
family to drive 91 miles?
72.8 minutes
098 minutes
O 113.75 minutes
O 122.5 minutes
Answer:
Answer:
time = 113.75 minutes
= 113.75 min
= 01:53:45
= 1 hours, 53 minutes, 45 seconds
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
8/9 = 24/27
8/9 = 56/63
24 and 63 are the answers
There are 120 apartments on 15 floors. Find the unit rate.
18)
If the circumference of a circle is changed from 9am to 3 cm, how will the diameter change?
What is the answer?
If a letter of the alphabet is chosen at random, what is the probability that it will be a vowel? (Y is not a vowel.) a. 1/2 b. 3/13 c. 1/5 d. 5/26 Please select the best answer from the choices provided A B C D
Answer: I believe D.
please help me asapppp
ty :)
Answer:
The slope of this parallel line is 3.
Step-by-step explanation:
Parallel lines have the same slope. The given line y = 3x - 2 has the slope 3. Therefore the desired parallel line also has the slope 3. This is all that is necessary to answer this question.
The slope of this parallel line is 3.
Express the quotient as a fraction in simplest form. -5-7 divided by 6/7
Answer:
a) -5/6
Step-by-step explanation:
[tex] - \frac{5}{7} \div \frac{6}{7} [/tex]
keep, change, flip
[tex] - \frac{5}{7} \times \frac{7}{6} [/tex]
[tex] - \frac{35}{42} [/tex]
simplify
35 ÷7=5
42÷7= 6
Hi someone please help
Answer:
1st one is 68 and the 2nd one is 25. hope that helps
Answer:
1. 112°2. 25°Step-by-step explanation:
1. 50° + 62° = x°
112° = x°
2. x° + 125° = 150°
x° = 150° - 125°
x° = 25°
(An exterior angle of a triangle is equal to the sum of its two interior opposite angles.)