Answers
x = number of messages sent or received
y = total cost per month
Plan A costs $30 per month plus $0.10 per text message. So the cost for plan A is y = 0.10*x + 30. The portion 0.10*x represents just the cost of the 10 cents per message, and then we add on the fixed cost of $30 to get the total cost.
In a similar fashion, plan B's cost is y = 60. There is no cost per message, so we don't have to include x in the picture. The cost is a flat fee, which leads to a flat horizontal line graph (as shown in the attachment below)
Our two equations are: y = 0.10x+30 and y = 60. Let's use substitution to find x
y = 0.10x + 30
60 = 0.10x + 30 ... replace y with 60 (works because y = 60)
60-30 = 0.10x
30 = 0.10x
0.10x = 30
x = 30/0.10
x = 300
If you send or receive 300 messages, then both plans will cost the same. We can see this on the graph below where the two lines cross at (300,60). Note how plugging x = 300 into the first equation simplifies to y = 60.
Related Questions
1. Write the fraction 8/9 as a percent. Round to the nearest hundredth of a percent where necessary. A. 88.89% B. 1.13% C. 44.44% D. 66.67% 2. Write 0.063 as a percent. A. 0.63% B. 6.3% C. 63% D. 630% 3. A survey at your school found that 792 in 1,220 students have a cell phone. What percent of the students in school has a cell phone? Round to the nearest hundredth where necessary. A. 6.49% B. 54.04% C. 64.92% D. 79.20%
Answers
Answer:
1.A. 88.89
2.B.6.3%
3.C.64.92%
Step-by-step explanation:
1.[tex]\frac{8}{9}=0.8888[/tex]
to covert it into percentage multiply it with 100
then it becomes 88.888
rounding off to the nearest hundred it becomes 88.89
2. to convert into percentage multiply it with 100
therefore 0.063×100=6.3%
3. to find percentage
%= (no of students using mobile / total no of students )× 100
= [tex]\frac{792}{1200}[/tex]×100
=64.918
Rounding off to nearest hundred it becomes 64.92%
Answer:
1) A. 88.89%
2) B. 6.3%
3) C. 64.92%
Step-by-step explanation:
1) After dividing 8 by 9, we get, [tex]\frac{8}{9} = 0.8889[/tex].
Now, percent of [tex]\frac{8}{9}[/tex] = 0.8889 * 100 = 88.89%
Hence, percent to nearest hundredth is 88.89%
2) We want 0.063 to be written in percent form
i.e. 0.063 * 100 = 6.3%
Hence, 0.063 into percent form is 6.3%
3) We are given that the total number of students are 1220 and the number of students that have cell phones are 792.
Therefore, the percent of students having cell phones = [tex]\frac{792}{1220} *100[/tex] = 64.92%
Hence, the percent of students having cell phones to nearest hundereth is 64.92%
simplify (10x^2-19x-2) + (5x^2-8x+13) - (3x^2-2)
Answers
Answer:
12x² -27x + 13
Step-by-step explanation:
First of all, expand the first two brackets and put the correlating values near each other:
10x² + 5x² -19x -8x -2 +13
10x² + 5x² = 15x²
-19x + - 8x = -27x
-2 + 13 = 11
15x² - 27x + 11
Now, subtract the values inside the third bracket:
15x² - 3x² = 12x²
11 - -2 = 11 + 2 = 13
So the end result is:
12x² -27x + 13
Hope this helps!
Refer to the table of long distance rates. Write an expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes.
Answers
Answer:
a(n) = 0.55 + (n -5)0.07
Step-by-step explanation:
The cost goes up $0.07 for each additional minute, so that is the slope of the linear function. In point-slope form the equation can be written ...
... a(n) - 0.55 = 0.07(n -5)
adding 0.55, and rearranging slightly, this becomes ...
... a(n) = 0.55 +(n -5)0.07
An elephant needs to drink at least 40 gallons of water each day. A drinking tank contains 4 gallons of water. The elephant has already consumed 24 gallons of water. How many more tanks x of water does the elephant need to drink? Write your answer as an inequality.
Answers
After drinking 24 gallons out of the required 40 gallons, the elephant needs at least 4 more tanks of water as each tank holds 4 gallons. The inequality representing this is x ≥ 4.
The student needs to calculate how many more tanks of water an elephant needs to drink to reach its daily requirement of at least 40 gallons if each tank contains 4 gallons of water. To start, we determine how much water the elephant still needs after drinking 24 gallons:
Required daily water - Water already consumed = Remaining water needed
40 gallons - 24 gallons = 16 gallons
Next, we find out how many tanks are needed for the remaining 16 gallons, knowing that each tank holds 4 gallons:
Number of tanks needed = Remaining water needed / Water per tank
Number of tanks needed = 16 gallons / 4 gallons per tank
Number of tanks needed = 4 tanks
Since the elephant needs at least 40 gallons, it will need at least 4 more tanks of water. However, since we're writing this as an inequality, we want to express that the elephant may drink more. Hence, the inequality will be:
x ≥ 4
A polynomial function has -5√3i as a root. Which of the following must also be a root of the function?
-5-√3i
-5+√3i
5-√3i
5+√3i
Answers
Answer:
-5+√3i is the given root so -5-√3i must be the other root
Step-by-step explanation:
We know that complex roots must come in pairs. The pairs are complex conjugates. (a+bi) and (a-bi)
You are missing a sign between -5 and the square root
So if - 5+ sqrt(3) i is a root, then -5 - sqrt(3) i must be a root
if -5 - sqrt(3)i is a root, then -5 + sqrt(3)i must be a root.
I will assume you missed a + sign
-5+√3i is the given root so -5-√3i must be the other root
Answer: is A
Step-by-step explanation:
Calculate the distance between the points K = −1, −4 and L = −82 in the coordinate plane.
Give an exact answer (not a decimal approximation).
Answers
Answer:
√85
Step-by-step explanation:
The distance formula tells you the distance between (x1, y1) and (x2, y2) is ...
... d = √((x2-x1)^2 +(y2-y1)^2)
For your points (-1, -4) and (-8, 2), the distance is ...
... d = √((-8 -(-1))^2 +(2 -(-4))^2) = √((-7)^2 +6^2) = √(49 +36)
... d = √85
The distance between the two points is √85.
Mrs Vargas is 4 years less than 4times her daughter anas age. Mrs Vargas son Leo is 3years more than two times Ana's age.If Ana is a years old what is the difference between Mrs. Vargas'age and her sons age
Answers
Answer: 2a - 7
Step-by-step explanation:
Ana: a
Mrs Vargas: 4a - 4
Leo: 2a + 3
Mrs Vargas - Leo
= (4a - 4) - (2a + 3)
= 4a - 4 -2a - 3
= 2a - 7
Daren can jump rope 116 times in 2 minutes, Kyle can jump rope 240 times in 4 minutes, and Marissa can jump rope 225 times in 5 minutes. Who can jump rope the most times per minute?
Answers
Answer:
Kyle can jump rope the most times per minute.
Step by step explanation:
We have been given that Daren can jump rope 116 times in 2 minutes.
So number of rope jumps done by Daren in 1 minute will be:
[tex]\text{Unit rate of Jump rope done by Daren}=\frac{116\text{ times}}{2\text{ minute}}[/tex]
[tex]\text{Unit rate of Jump rope done by Daren}=58\frac{\text{ times}}{\text{ minute}}[/tex]
Therefore, Daren jumps rope 58 times per minute.
We have been given that Kyle can jump rope 240 times in 4 minutes.
So number of rope jumps done by Kyle in 1 minute will be:
[tex]\text{Unit rate of Jump rope done by Kyle}=\frac{240\text{ times}}{4\text{ minute}}[/tex]
[tex]\text{Unit rate of Jump rope done by Kyle}=60\frac{\text{ times}}{\text{ minute}}[/tex]
Therefore, Kyle jumps rope 60 times per minute.
We have been given that Marissa can jump rope 225 times in 5 minutes.
So number of rope jumps done by Marissa in 1 minute will be:
[tex]\text{Unit rate of Jump rope done by Marissa}=\frac{225\text{ times}}{5\text{ minute}}[/tex]
[tex]\text{Unit rate of Jump rope done by Marissa}=45\frac{\text{ times}}{\text{ minute}}[/tex]
Therefore, Marissa jumps rope 45 times per minute.
As Kyle jumps rope 60 times per minute, which is greater than jumps rope done by Daren and Marissa, therefore, Kyle can jump rope the most times per minute.
the sum of m and 3 divided by the difference of m minus 3
Answers
Answer:
1 is the answer.
Step-by-step explanation:
(m + 3) / (m - -3)
m + 3 / m - - 3 = m + 3 / m + 3
m + 3 / m + 3 = 1
Please mark brainiest would help alot :3
Simplify:
"The sum of m and 3" => m + 3
"[the whole] divided by" => (m + 3)/
"The difference of m minus 3" => m - 3
(m + 3)/(m - 3) is your answer
~
Someone please help me.
Answers
1. PQ║TS, PQ ≅ TS, PT and QS are transversals to the parallel lines . . . given
2. ∠P ≅ ∠T . . . alternate interior angles at PT
3. ∠Q ≅ ∠S . . . alternate interior angles at QS
4. ΔPQR ≅ ΔTSR . . . ASA postulate
_____
You can use any pair of angles together with the sides PQ and TS. If you use the vertical angles and one of ∠T or ∠S, then you must invoke the AAS postulate for congruence, as the side is not between the two angles.
choose the quadratic equation that has a leading coefficient of 8 and solutions -10 and 7/8
Answers
Answer:
[tex]f(x)=8x^2+73x-70[/tex]
Step-by-step explanation:
We are given
zeros as -10 and 7/8
now, we can set up function as
[tex]f(x)=a(x-(-10))(x-\frac{7}{8})[/tex]
now, we are given that
leading coefficient is 8
so, a=8
now, we can plug it
[tex]f(x)=8(x-(-10))(x-\frac{7}{8})[/tex]
now, we can simplify it
[tex]f(x)=8\left(x^2+\frac{73x}{8}-\frac{35}{4}\right)[/tex]
so, we get
[tex]f(x)=8x^2+73x-70[/tex]
The set of all possible vectors you can reach with the linear combination of two vectors is called ________________.
Answers
The set of all possible vectors you can reach with the linear combination of two vectors is called the linear span of the set of two vectors.
We often write the span of a set of vectors S as span(S) and it's itself a vector space, a subspace of the vector space from which the elements of S are drawn.
Answer:
I think you can also call it a vector space.
Step-by-step explanation:
LE _____ VO
Choose the relationship symbol to make a true statement.
<
=
>
Answers
Answer:
LE > VO
Step-by-step explanation:
This is a short answer, but I assure you that it is 100% correct.
Hope it helps.
1. Solve x/6 = 20.
A. x = 26
B. x = 3
C. x = 14
D. x = 120
Answers
[tex] \frac{x}{6} \: = \: 20[/tex]
[tex]x \: = \: 20 \: \times \: 6[/tex]
[tex]x \: = \: 120[/tex]
QUICK
Bill lent some money to his two brothers. He wrote down the amounts so he would not forget. The list shows the younger brother with −$17.25 and the older brother with $0. Which of the following statements best describes the amounts?
A.The older brother paid Bill $17.25, and the younger brother does not owe him any money.
B.The older brother owes Bill $17.25, and the younger brother does not owe him any money.
C.The younger brother owes Bill $17.25, and the older brother does not owe him any money.
D.The younger brother paid Bill $17.25, and the older brother does not owe him any money.
Answers
Julie's mp3 contains 860 songs if 20 percent of the songs are rap and 15 percent of the song are r and b songs how many of the songs are other types
Answers
Answer:
The number of other types of songs in Julie's MP3 player was 559.
Step-by-step explanation:
Total number of songs in Julie's MP3 player = 860
Rap
The percentage of rap songs in Julie's MP3 player = 20%
The Number of rap songs is 172
R&B
Percentage of R&B songs in Julie's MP3 player = 15%
The Number of R&B songs in Julie's MP3 player = 129
Other Music
The number of other types of songs in Julie's MP3 player = 559
So the number of other types of songs in Julie's MP3 player was 559.
Olivia took half a gallon of water on a hike. During the hike, she drank .75 of the water, How much water did she drink
Answers
Olivia drinks 0.375 gallons of water.
What is problem-solving?
Problem-solving is defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
Problem-solving starts with identifying the issue. For example, a trainer may need to figure out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.
Calculation:-
Quantity of water Olivia took = half a gallon i.e 0.5 gallons.
Quantity of water Olivia drank =0.75 of 0.5
∴ 75% of 0.5 gallons
= 75/100 × 0.5
= 0.375 gallons.
Learn more about problem-solving here:- https://brainly.com/question/13818690
#SPJ2
Sam bought two CDs for 13 each sales tax for both CDs was $3 how much did she pay
Answers
13x2. 13 is how much the cds cost. 2 is how many she is buying. 13x2 is 26. Check 13+13=26.26-13=13.
Hope this helps!
I know your smart !!! Who knows this answer ? ❤️
Answers
Answer:
The range is { -1,3,7,11,15}
Step-by-step explanation:
The range is just the output values
f(-2) = 4(-2) +7 = -8+7 =-1
f(-1) = 4(-1) +7 = -4+7 = 3
f(0)= 4(0) +7 = 7
f(1) = 4(1) + 7 = 11
f(2) = 4(2) +7 = 8+7 = 15
Answer:
The answer is B
Step-by-step explanation:
First you should make a table to explain it better to yourself. Make 2 columns named Domain(Input) and Range(Output). Now put your ordered pair in the range area. Now calculated the function by replacing X with the range. Calculate.
The parent function is f(x)=2^x-1 +3 and the new function is g(x)=2^x+2 +5
How does the graph change from f(x) to g(x)?
Select each correct answer.
Answers
Answer:
B and C
Step-by-step explanation:
There are two ways of looking at this question. You can do it algebraically or you can make a graph that will give you the answer visually.
Graph
I'll try to do both. First the graph. (See below)
The red line is f(x)The blue line is g(x)The graph tells us that the line is shifted
2 units up (blue is above red) and 3 units to the left (blue is to the left of red)Algebra.
g(x) = 2^[(x - 1) + 3] + 3 (+ 2)
The rewrite shows that +3 means left. +2 means up.
What percent of 14 is 35
Answers
Answer:
250%
Step-by-step explanation:
First, set the equation.
35/14 x 100% = answer
Simplify.
2.5 x 100 = answer
250 = answer
250% is your answer
~
Answer:
The answer is 2.5
Step-by-step explanation:
14*2.5%=35
How many different four lettered codes can be formed if the first letter must be an S or a T
Answers
Answer:
27,600
Step-by-step explanation:
We use the following formula:-
Number of permutations of r from n
= nPr
= n! / (n-r)!
I am assuming you don't allow repeated letters in the 4 letter codes.
Take S as the first letter. Then we have 3 letters extra out of 25 letters.
Using the above formula the possible ways of doing this is
25! / (25 - 3)!
25! / 22!
= 25*24*23
= 13800.
The same number is obtained if the first letter is a T.
So the answer is 2*13800
= 27,600
I NEED HELP ASAP
The steps count 4
points for each equation and the solution is 1 point for each. Round the solution to
two decimal places. (10 points)
a. 4x – 5 = 16
b. 35 + 3x – 11 = 2335 + 3x – 11 = 23
Answers
4x=21
x=21/4
x=5.25
b.I am not sure about the question too much as solution for the question above
35+3x-11=2335+3x-11
have no solution but,
for 2335+3x-11=23
3x=23+11-2335
=-2301
x =-2301/3
=-767.00
The solution to the first equation 4x – 5 = 16 is x = 5.25. The solution to the second equation 35 + 3x – 11 = 23 is x = -0.33. Both solutions have been rounded to two decimal places.
Explanation:Let's solve these two equations one by one:
a. 4x – 5 = 16
Add 5 to both sides of the equation: 4x = 16 + 5 Simplify right side: 4x = 21 Divide both sides by 4 to solve for x: x = 21/4 = 5.25
b. 35 + 3x – 11 = 23
Simplify the left side by combining like terms: 3x + 24 = 23 Subtract 24 from both sides to isolate the term with x: 3x = 23 - 24 Simplify right side: 3x = -1 Divide both sides by 3 to solve for x: x = -1/3 = -0.33
These are the solutions to the equations, rounded to two decimal places.
Learn more about Solving Equations here:https://brainly.com/question/18322830
#SPJ11
Add. (3t - 3) + (6t2 + 4t + 13) + (-8t2 + 11t - 1)? A) -2t2 + 18t + 9 B) -2t4 + 182 + 9 C) 2t4 - 18t - 9 D) 2t4 + 18t + 9
Answers
Let's simplify step-by-step.
3t−3+6t2+4t+13−8t2+11t−1
=3t+−3+6t2+4t+13+−8t2+11t+−1
Combine Like Terms:
=3t+−3+6t2+4t+13+−8t2+11t+−1
=(6t2+−8t2)+(3t+4t+11t)+(−3+13+−1)
=−2t2+18t+9
How to solve this problem?
Answers
Answer:
Can not be determined.
Step-by-step explanation:
We can easily notice that the limit is x tends to infinity, whereas x is not present in the given function, we are given (1 + 1/n). So we can not evaluate the given limit for x as parameter, we must have some function of x to solve this problem.
Hence, option C is correct i.e. the limit can not be determined.
The Cooper family is driving 236.5 miles to visit their relatives. In the first three hours, they drive 69.4 miles in the first hour, 67.9 miles in the second hour, and 69.5 miles in the third hour. How many more miles do they need to travel?
Answers
Answer:
29.7
Step-by-step explanation:
The remaining distance is the total distance less the distance driven so far:
... 236.5 -69.4 -67.9 -69.5 = 29.7
PLEASE HELP WITH GEO!!
Answers
Answer:
10. It is a parallelogram.
11. The parallelogram is a rhombus.
Step-by-step explanation:
10. Use the given sets of congruent segments with congruent vertical angles XNY and WNZ to prove that triangles XNY and ZNW are congruent. Now use CPCTC to show that angles XYN and ZWN are congruent. They are alternate interior angles making sides XY and WZ parallel. Now use CPCTC to show that sides XY and WZ are congruent. Since a quadrilateral has two opposite sides that are both parallel and congruent, the quadrilateral is a parallelogram.
11. A rectangle and a square have 4 right angles. If you add 72 deg and 72 deg, you get 144 deg which is not a right angle. Since one angle of the parallelogram is not a right angle, the parallelogram is not a square or a rectangle.
There are two triangles. Let's look at the upper triangle. The triangle has 2 angles measuring 72 deg each. That means the opposite sides are congruent, and the triangle is isosceles. Since the quadrilateral is a parallelogram, opposite sides are congruent, so all 4 sides are congruent, and the parallelogram is a rhombus.
Answer:
10. It is a parallelogram.
11. The parallelogram is a rhombus.
Step-by-step explanation:
HELP ASAP!!! Working together, Rocco and Giulia can paint a room in 3 hours. It would have taken Rocco 7 hours to do the job alone. Which equation can be used to determine r, Giulia’s rate of work in parts per hour?
A- 3/7+3r=7
B- 3/7 + 3r =1
C- 1/7 = R
D- 3/7 = 3r
Answers
Answer: B
Step-by-step explanation:
Rocco: [tex]\dfrac{1}{7}[/tex] of the job per hour
Giulia: [tex]\dfrac{1}{x}[/tex] of the job per hour
Together: [tex]\dfrac{1}{3}[/tex] of the job per hour
Rocco + Giulia = Together
[tex]\dfrac{1}{7}[/tex] + [tex]\dfrac{1}{x}[/tex] = [tex]\dfrac{1}{3}[/tex]
[tex]\dfrac{1}{7}(21x)[/tex] + [tex]\dfrac{1}{x}(21x)[/tex] = [tex]\dfrac{1}{3}(21x)[/tex]
3x + 21 = 7x
21 = 4x
[tex]\dfrac{21}{4} = x[/tex]
It will take Giulia [tex]\dfrac{21}{4} = 5\dfrac{1}{4}[/tex] hours to paint the room by herself.
*******************************************************************************************
Giulia: [tex]r=\dfrac{1}{x}[/tex] = [tex]\dfrac{4}{21}[/tex]
A) [tex]\dfrac{3}{7} + 3(\dfrac{4}{21}) = 7[/tex]
[tex]\dfrac{3}{7} + \dfrac{4}{7} = 7[/tex]
[tex]\dfrac{7}{7} = 7[/tex]
1 = 7
FALSE
B) [tex]\dfrac{3}{7} + 3(\dfrac{4}{21}) = 1[/tex]
[tex]\dfrac{3}{7} + \dfrac{4}{7} = 1[/tex]
[tex]\dfrac{7}{7} = 1[/tex]
1 = 1
TRUE
Answer:
b is the correct answer for edge
Step-by-step explanation:
Lexi can paint 5 yards of fencing in one hour. At this rate how many inches does she paint per min?
Answers
1 yard is 36 inches
so 5 yards are 180 inches
1 hour is 60 minutes
so in 60 minutes she paints 180 inches
or in 1 minute she paints 3 inches
What is the value of P ?
Answers
Answer:
133*3+90*3+30*p
Step-by-step explanation:
add all that up then divide it by three
Answer:
p=43°
Step-by-step explanation:
We know that the sum of angles inside the triangle is 180 degree
One angle is P, we find other two angles
Angles in a straight line is 180 degree.
angle adjacent to 133 is 180-133=47
angle adjacent to 90 is 180-90=90
To find out P, we add all the angle and make it equal to 180 degree
p + 47+90= 180
p+137= 180
Subtract 137 on both sides
p=43°