The center is consideirng signing up for an online game-rental service rather than buying the games. The table shows equipment cost and monthly fees for two services.
Equipment cost mouthy cost
Net games 99$ 8$
Equipment cost mouthy fee
anytime games 19$ 19$
1. Write and solve an inequality that represents the number of months the center could rent games from NetGames with its $175. Explain the solution in terms of the problem.
2. Write and solve an inequality to represent the number of months the center could rent games from Anytime Games. Explain the solution in terms of the problem.
3. Use your answers from 1 and 2 to justify which service the community center should purchase.
Answers
Answer:
Here's what I get
Step-by-step explanation:
Total cost = equipment cost + monthly fee × number of months
Let C = total cost
and e = equipment cost
and f = monthly fee
and x = number of months. Then
C = e + f·x
The condition is that C ≤ $175 or
e + f·x ≤ $175
1. NetGear
e = $99; f = $5/mo
The condition is
99 + 5x ≤ 175
\(\begin{array}{rcll}99 + 5x & \leq & 175 &\\5x & \leq &76 & \text{Subtracted 99 from each side}\\x & \leq & \dfrac{76}{5} & \text{Divided each side by 5}\\\\x & \leq & \mathbf{15.2} & \text{Simplified}\\\end{array}\\\)
The centre could rent the games for 15 mo.
They would pay $99 for the equipment.
Fifteen months rental at $5/mo = $75.
Total cost = $174.
2. Anytime Games
e = $19; f = $19/mo
The condition is
19 + 19x ≤ 175
\(\begin{array}{rcll}19 + 19x & \leq & 175&\\19x& \leq & 156 & \text{Subtracted 19 from each side}\\x & \leq & \dfrac{156}{19} & \text{Divided each side by 19}\\\\x & \leq & \mathbf{8.2} & \text{Simplified}\\\end{array}\\\)
The centre could rent the games for eight months.
They would pay $19 for the equipment.
Eight months rental at $19/mo = $152.
Total cost = $171.
3. Recommendation
The Community Centre should rent from NetGear.
They can rent for 15 mo without going over the budget.
With the other company, they can rent for only eight months.
The graphs below show how the costs for the two companies vary with the number of months.
Anything above the horizontal orange line at C = $175 is beyond the Community Centre's budget.
Related Questions
A student is measuring the length of an icicle, y, every hour, x. The icicle is currently 13 inches long and is melting at a rate of 0.4 inches per hour. Find and interpret the slope for this relationship.
0.4; for every additional hour, the length of the icicle increases by 0.4 inches
−0.4; for every additional hour, the length of the icicle decreases by 0.4 inches
13; the length of the icicle when the student first measures it
−13; the length of the icicle when the student first measures it
Answers
Answer: The icicle is getting shorter at a constant rate of 0.4 inches per hour.
Step-by-step explanation:
Answer:
0.4; for every additionional hour
Which operation should you perform after (9 + 6) in the expression
122 + 10 × 2 − (9 + 6) ÷ 5?
please help
Answers
Answer:
The next operation that should be carried out after (9 + 6) in the given expression is; a division which is (9 + 6) ÷ 5.
How to carry out mathematical operations?
We want to carry out the mathematical expression;
122 + 10 × 2 − (9 + 6) ÷ 5
From BODMAS Acronym, the first operation is Bracket, then of then division, then Multiplication, then Addition, then subtraction.
Now, the first operation is the one in the bracket which is 9 + 6 = 15.
Thereafter, the second operation to carry out is the division which is 15 ÷ 5 = 3.
Read more about Mathematical Operations at; brainly.com/question/4344214
helppppp!
need helpp
Answers
2) 3c+6
3)-3z
Please help asap I will make you the brainliest if you show work !
Answers
Answer:
Step-by-step explanation:
length = area / width
length = 12 1/2 / 2 1/2
length = 5
Answer:
5 feet
Step-by-step explanation:
You want the length of a rectangle that has an area of 12 1/2 square feet and a width of 2 1/2 feet.
AreaThe area is given by the formula ...
A = LW
Filling in the known values, we can find the unknown.
12.5 ft² = L(2.5 ft)
L = (12.5 ft²)/(2.5 ft) = 5 ft
The length of the rectangle is 5 feet.
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Which of the following is an equation of the line in the graph?
the choices:
A. 3x − y = 4
B. 3x + y = 4
C. −3x − y = 4
D. −3x + y = 4
Answers
Answer:
The answer is choice D.
What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12?
a)13
b)15
c)17
Answers
Answer:
Tha answer is A.
Step-by-step explanation:
Given that hypotenuse of a triangle is the longest length so you have to apply Pythagoras Theorem :
hypo² = side² + side²
hypo² = 5² + 12²
hypo² = 25 + 144
hypo² = 169
hypo = √169
hypo = 13 units
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Answers
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
P|z Help Meh
(view screenshot below)
Answers
Answer:
B. JNK and JKN
Step-by-step explanation:
The sum of both add up to 90 degrees. Hope it helps!
step by step explanation:
What is 34.69$ + 9% (will give brainliest) (explain how you got your answer)
Answers
Answer:
37.8121
Step-by-step explanation:
you take 34.69$ and multiply it by 1.09
Help :l Thank you very very very much...
Answers
Answer:1152 ft^2
Step-by-step explanation:
Explanation…..
Miguel wants to use coordinate geometry to prove that the
opposite sides of a rectangle are congruent. He places
parallelogram ABCD in the coordinate plane so that Ais (0,0),
Bis (a, 0), Cis (a, b), and Dis (0, b).
What formula can he use to determine the distance from
point A to point B?
A. (2-0)2 + (6-b)2 -
B. Via-0)2 + (0-0) - V-a
C. (2-0)2 + (0-0)2 =
D. V-0)? +(5-6)2 - 12 -
= a
Answers
Answer:
\(Distance = \sqrt{(0 - a)^2 + (0 - 0)^2}\)
\(Distance = a\)
Step-by-step explanation:
Given
\(A = (0,0)\)
\(B = (a,0)\)
\(C = (a,b)\)
\(D = (0,b)\)
Required
Determine the distance between A and B
The distance between points is calculated as thus;
\(Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)
Considering points A and B
\(A(x_1,y_1) = (0,0)\)
\(B(x_2,y_2) = (a,0)\)
Substitute values for \(x_1, x_2, y_1\) and \(y_2\) in the above formula
\(Distance = \sqrt{(0 - a)^2 + (0 - 0)^2}\)
The above expression represents the distance between A and B;
However, it can be solved further as thus
\(Distance = \sqrt{( -a)^2 + (0)^2}\)
\(Distance = \sqrt{a^2 + 0}\)
\(Distance = \sqrt{a^2}\)
\(Distance = a\)
Hence, the distance between A and B is a
Prime Factorization- Figure out all of the variables to make the factor tree true.
Answers
A bag contains 1 blue, 2 green, and 3 red marbles, as shown.
1 blue marble, 2 green marbles, and 3 red marbles.
What is the probability of drawing a green marble out of the bag without looking?
StartFraction 1 over 6 EndFraction
One-fifth
One-third
Answers
Answer:
One-third
Step-by-step explanation:
The reason is because there are 3 red marbles with a total of 9. That then becomes 3/9. If you simplify that it turns into 1/3.
Can i Please have brainliest!?
Please Help
I need an answer ASAP
Answers
I am currently 13 times as old as my granddaughter. Next year, I will be 11 times as old as my granddaughter. How old am I now?
Answers
Answer:
65 years old.
Step-by-step explanation:
Define the variables:
Let x be the age of the granddaughter.Let y be the age of the grandparent.Given:
I am currently 13 times as old as my granddaughter. Next year, I will be 11 times as old as my granddaughter.Create two equations with the given information and defined variables:
\(\begin{cases}y = 13x\\y + 1 = 11(x + 1)\end{cases}\)
Substitute the first equation into the second equation and solve for x:
\(\implies 13x+1=11(x+1)\)
\(\implies 13x+1=11x+11\)
\(\implies 2x=10\)
\(\implies x=5\)
Substitute the found value of x into the first equation and solve for y:
\(\implies y=13(5)\)
\(\implies y=65\)
Therefore, the age of the grandparent now is 65 years.
Given statements:
I am currently 13 times as old as my granddaughter. Next year, I will be 11 times as old as my granddaughter.Let us represent the character's age by variables. Assuming that the grandparent's age is G and the granddaughter's age is D. Now, using the obtained variables and the statements, create two equations that represents the provided statements. Then, we can compare the equations and simplify if needed to determine the value of the variables.
\(\implies \left[\begin{array}{ccc} \text{G = 13D} \\ \text{G + 1 = 11(D + 1)}\\\end{array}\right]\)
Since G = 13D is in the form of direct variation, we can substitute the value of G into the second equation to determine the value of D (the age of the granddaughter). Then, we can substitute the value of D into any of the two equations to determine the age of the grandparent.
⇒ G + 1 = 11(D + 1)⇒ G + 1 = 11(D + 1) [G = 13D]⇒ 13D + 1 = 11(D + 1)To solve for D, simplify both sides of the equation by using the distributive property. We need to simplify both sides of the equation so that we can isolate the variables on the other side of the equation.
⇒ 13D + 1 = 11(D + 1)⇒ 13D + 1 = 11D + 11Isolate the variables on one side. This step is necessary because it can cancel out the extra variable and simplify the other variable. To do this, you can either add or subtract on both sides of the equation.
Note: I am subtracting 11D on both sides of the equation since it is my preference. But you can also subtract 13D on both sides of the equation.
⇒ 13D + 1 - 11D = 11D + 11 - 11D⇒ 1 + 2D = 11To further isolate 2D, we need to subtract 1 on both sides of the equation to cancel out the 1 on the left-hand side of the equation. Then, we have:
⇒ 1 + 2D - 1 = 11 - 1⇒ 2D = 10But the variable is still not completely isolated since there is a coefficient being multiplied to D. To isolate the coefficient from the variable, we will need to divide the coefficient (2) on both sides of the equation.
⇒ 2D = 10⇒ 2D/2 = 10/2Then, simplify both sides of the equation. Eventually, we will have a variable on one side and a numerical value on the other side.
⇒ 2D/2 = 10/2⇒ D = 5Now we know the age of the granddaughter, we can substitute the age of the granddaughter into one of the equations and simplify it to determine the age of the grandparent. I am going to choose G = 13D since it is easier to simplify. Then, we will substitute the value of D into the equation.
⇒ G = 13D ⇒ G = 13(5)⇒ G = 65 yearsTherefore, the age of the grandparent is 65 years.
Please help! I need help on my math grade problem. Please explain if you could
Answers
Answer:
Answer = 3
Step-by-step explanation:
Constant of proportionality = slope
\(Slope=\frac{y^{2}-y^{1} }{x^{2}-x^{1} } =\frac{12-9}{4-3}=\frac{3}{1}=3\)
QOTD: I am starting something new for people that want to advance on this wonderful foundation. I will post a Question everyday, that will get a different amount of points. Maybe even Brainliest.
Question: (Order of Operations)
1. 21 / (6-3) = ________
2. 5+4 x 7 = _______
Answers
Answer:
1. 7
2. 33
Step-by-step explanation:
1. you first subtract 6 and 3 (pemdas) then giving you 3, now divide 21 and 3 giving you 7!
2. again using pemdas you would multiply 4 and 7 giving you 28 then just add 28 and 5 to give you a final answer of 33!
Answer:
1. 21 / (6-3) = 7
2. 5+4 x 7 = 33
Step-by-step explanation:
1. First we do the parenthesis,, and 6-3 is equivalent to 3. Then we can divide 21 by 3 and we get 7 !!
2. First, we should do the multiplication. We would then get 4x7=28. Then we should add 28 and 5 to get 33 !!
I love your idea, it sounds great !! have a good day :))
Calculate the value of x^3+y^2 of x=4 and y=6
Answers
Before you multiply or divide a fraction by a mixed number, you have to make sure they are both in the same___________?
Answers
Answer:
Step-by-step explanation:
form. Meaning you need make both fractions improper
A cube with a side length of 3.7 ft. will have a volume of what?
Answers
Answer:
50.653
Step-by-step explanation:
3.7*3.7*3.7, or 3.7^3 would equal 50.653 but you can round it to 50.63
Answer:
~50.653~
Step-by-step explanation:
3.7 x 3 =50.653
Find the volume of the pyramid shown.
Answers
Answer:
48
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
V=L times w times h/3
4 times 5 times 6 divided by 3.
So the answer, is 40.
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
please help! I've been stuck on this for days!
Answers
Answer:
y=x/1000 is the equation
Step-by-step explanation:
I did math
Answer:
1. Use y/1000x to find the table answers.
2. y/1000x
(a) Write an equation and (b) solve.
A farmer bought a 60,000 sq. ft. rectangular
field for his livestock. If the field was 300 ft.
long, how wide was the field?
Answers
Answer: 200sq. ft
Step-by-step explanation: 60000 divided by 300 is 200
a rectangle's area = base x height
60000 = rectangle area
300 = height
base = 60000 divided by 300
A satellite orbits Earth at a rate of about 3,300 miles in 12 minutes. At this rate, how far does the satellite travel around Earth in 1 hour?
Answers
60 minutes in an hour / 12 minutes = 5
5 * 3,300 = 16,500
The sum of three consecutive odd number is one hundred fifty-nine. what is the smallest of the three numbers?
pls show work and the check too.
Answers
n + 2 and n + 4 that their sum is 159.
n + (n + 2) + (n + 4) = 159
3n + 6 = 159
3n = 153
n = 51
And to check: 51 + 53 + 55 = 159
Math: There are 30 pages in a chapter of your textbook. You read 40%, how many pages do you have left to read? Explain how to solve this using 2 different methods
Answers
Answer:
18 pages left
Way 1: Find what 40% of 30 is and subtracting it from 30, leaving 60% of 30 left:
40% of 30 is 0.4*30 = 12, 30 - 12 = 18
Way 2: Subtract 40% from 100% and multiply it by 30: 100% - 40% = 1 - 0.4 = .6, 0.6*30 = 18
Which of the following values is less than −|73|?
−88
−58
58
88
Answers
Which of the following statements would not translate to the equation 8 ÷ x = -4?
The quotient of eight and a number equals negative four.
The solution of a number divided by eight is negative four.
Eight divided by a number is equal to negative four.
If eight is divided by a number, the result is negative four.
Answers
Answer:
-2
Step-by-step explanation:
if you divide 8 by -2 you get -4
Answer:
The solution of a number divides by 8 equals to 4.
Step-by-step explanation:
This statement does not match the condition discussed above.
A football team loses 4 yards on each of 3 consecutive plays. Find the total change in yards from where the team started
Answers
Answer: 12 yards
Step-by-step explanation:
4 times 3 is 12
4 times 3 =12