Given :
AT&T charges $350 to get a plan with them, plus $60 per month.
T-Mobile charges a $275 initial fee, plus $80 per month.
To Find :
Write an equation or inequality that can be used to determine the number of months it would take for T-Mobile to cost the same or more than AT&T.
Solution :
Money-time relation of plan AT&T :
[tex]M_1 = 60x + 350[/tex]
Money-time relation of plan T-Mobile :
[tex]M_2 = 80y + 275[/tex]
( Here, x and y are number of months )
Let, after t months would take for T-Mobile to cost the same or more than AT&T.
So, [tex]M_2\ge M_1[/tex]
[tex]80t+275 \ge 60t + 350\\\\20t \ge 350 - 275\\\\20t \ge 75\\\\t \ge 3.75[/tex]
Hence, this is the required solution.
A rectangle has a length of 64 cm. The rectangle is reduced by a scale factor of 3/4. What is the length of the reduced rectangle?
Answer:
48 cm
Step-by-step explanation:
64 divided by 4 is 16. multiply 16 by 3 and the answer is 48.
What is the 6th term of the geometric progression
12.6.3, ... ?
Answer:
a₆ = [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
The n th term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex] , thus
a₆ = 12[tex](\frac{1}{2}) ^{5}[/tex] = 12 × [tex]\frac{1}{32}[/tex] = [tex]\frac{12}{32}[/tex] = [tex]\frac{3}{8}[/tex]
If a population roughly doubles in the course of 22 years, its growth rate would be close to
C) 2.0
A) 1.5
D) 3.2
B) 1.2
Answer:
hmm you need help
Step-by-step explanation:
What number should be subtracted from 3/7 to get 5/7
Is this a function or no
Answer: Yes it is a function
Step-by-step explanation:
Answer:
YES
Step-by-step explanation:
The freshman spirit club took a trip to the state fair .There were 59 students and 6 chaperones, and the total admission cost for the group was 508$.Student tickets cost 2$ more than the chaperone tickets.Write an equation to represent the cost of a student ticket
Answer:
Step-by-step explanation:
First you determine the variables x and y as:
x: the value for student tickets
y: the value for chaperone tickets.
Knowing that student tickets cost $ 2 more than companion tickets, it is represented by the equation:
x= y +2
On the other hand, there were 59 students and 6 companions. And the total cost of admission for the group was $ 508, that is to say that what all the students and the companions have paid adds up to $ 508. Expressed by an equation:
59x + 6y = 508
Then the system of equations to solve and thus obtain the price of a student ticket and the price of a companion ticket is:
[tex]\left \{ {{x=y+2} \atop {59x+6y=508}} \right.[/tex]
Solving for x, the price of a student ticket:
Rearranging the first equation,
y = x - 2
Replacing in the second equation and solving for x:
59*x + 6*(x -2)=508
59*x + 6*x -12=508
65*x -12=508
65*x= 508 +12
65*x= 520
[tex]x=\frac{520}{65}[/tex]
x=8
The cost of a student ticket is 8$
Which of the following is equal to 4 1/2 ÷ 2 2/3 ??? I need help answering this question.
Answer:
27/16 the same as 1 11/16
Step-by-step explanation:
First, make it an improper fraction:
9/2 ÷ 8/3
now flip the second number and multiply across:
9/2 × 3/8 = 27/16
Solve for s. 7 - 45 = -3s
Answer:
12.7=s
Step-by-step explanation:
First, write the equation and combine like terms.
7-45=-3s
-38=-3s
Next, divide both sides by 3.
-38=-3s
/-3 /-3
12.7=s (I rounded the answer.)
Hope this helps! Have a great day C:
Amber is making a scale drawing of a movie screen. The actual dimisions of a screen in her local theater are 60 ft wide and 20 ft tall. In her scale drawing, the screen has a width of 9 in. What will the height of the screen on her drawing be? a 2 inches b 6 inches c 3 inches d 10 inches
Answer:
c 3 inchesStep-by-step explanation:
Given the dimension in feet
Width = 60 ft
Height = 20 ft
Given the dimension in inches
Width = 9in
Height = ?
To get the height in inches, we will use the equality postulate:
60 ft = 9in
20ft = x
Cross multiply
60x = 9*20
60x =180
x = 180/60
x = 3in
Hence the height of the screen will be 3inches
Estimate the sum 78.5+51.4
Answer:
129.9
Step-by-step explanation:
78.5
+ 51.4
129.9
Hope this helps! (:
how many inches are in a 20 foot rope
Answer:240 inches
Step-by-step explanation:
Answer:
240 in.
Step-by-step explanation:
1 foot is equal to 12 inches. Being that there are 20 feet you would multiply 20 by 12 and get 240.
How did you find each square root?
Answer:
......
Step-by-step explanation:
join on zoom meeting now I'd 4989249097 and password MsS8pt join now for fun only girls
Kelly gets a Sonic drink everyday. If she uses her app she gets the drinks for 1/2
off the price of the drinks. If the drinks are normally $1.88 which equation could
be used to find y (the cost) of x (number of drinks) she purchases if she uses her
app?
Answer:
6.58
Step-by-step explanation:
divide 1.88 by 2 to get .94 because he gets her drinks half off. Next, multiply by 7 because there are seven days in a week. she will spend 6.58 a week on drinks.
Answer:
1.88/2 0.94x7 for one week Kelly will pay $6.58 for a sonic drink
the answer is B
Step-by-step explanation:
1.88/2= 0.94
0.94x7=6.58
for one week Kelly will pay $6.58 for a sonic drink
hope this helps:) have a good day :)
Given 5x - y = 16, solve for y
y = 5x -16 will be the Solution for y in terms of x for the given equation.
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given a linear function 5x - y = 16
Solution for y in terms of x will be
5x - y = 16
=> 5x = 16 +y
=> y = 5x -16
Therefore, the Solution for y in terms of x for the given equation will be:
y = 5x -16.
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Enter an equation to describe the linear relationship.
A bamboo reed is planted when it is 15 centimeters tall. It grows 3.2 centimeters per week. Let y represent the total growth and x for the number of weeks.
The equation is y =
Answer:
The equation is y = 3.2x + 15
Step-by-step explanation:
We know that the beginning height is 15 cm, so that will be our y-intercept, since we started with that. We also need the slope, which is the rate of change. The rate of change is 3.2 cm per week, so the slope is 3.2. This makes the equation y = 3.2x + 15. I hope this helps, and I hope it's not wrong, which I don't think it is.
Help!! Anyone know how to do this?
Answer:
42.5
Step-by-step explanation:
Answer:
x = 37.5
Step-by-step explanation:
First, you'll have to find the amount between the similar triangles. This is what I mean:
42.5/17 = 2.5
20/8 = 2.5
So, that means that 15(2.5) = x.
x = 37.5
Kristy rides 6 miles on her bicycle in 40 minutes. Jax rides 4 miles on his bicycle in 30 minutes. Who is faster? Remember to support your answer with a mathematical statement!
Answer: Kristy
Step-by-step explanation: 6x=40 4x=30, 40/6 is 6.6 repeating which means she travels a mile in 6.6 minutes and 30/4 is 7.5. 6.6 repeating is lower than 7.5 which means it is faster.
You figured out that you could make $50 each time you cleaned a pool during the summer.
You did, however, need to purchase some equipment to get started. After cleaning 3 pools,
you were still down at total of 15 dollars. Write an equation in point-slope form that
represents that number of pools you clean, x, and the total amount you make in the summer,
V
a) y = 50x - 165 (After cleaning three pools, you were still down $15, this means the equipment costs 3*50 + 15 = $165)
b) The y-intercept -165 is the equipment cost
c) After cleaning 12 pools, y = 600 - 165 = 435. You have made $435.
You discovered that you could earn $50 for each summertime pool you cleaned. The equation is y = 50x + 16. The y-intercept is (0, 165). After 12 pools, y = 435.
What is point-slope equation ?We have to create a point-slope equation to reflect the quantity of pools you clean, x, and your summertime earnings.
Given that,
You discovered that you could earn $50 for each summertime pool you cleaned
But in order to begin going, you had to buy some supplies. Even after cleaning three pools, you were still out of pocket by a total of $15.
The equation we can write as
y = 50x + 165
You were still down $15 after cleaning three pools, therefore the equipment costs 3×50 + 15 = $165.
The y-intercept we get as taking x as zero.
y = 50(0) + 165
y = 165
The y-intercept is (0,165).
After 12 pools,
We get,
y = 600 - 165 = 435.
Therefore, The equation is y = 50x + 16. The y-intercept is (0,165). After 12 pools, y = 435.
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Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Which statements are true? Select all that apply.Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Which statements are true? Select all that apply.
Answer:
If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
Step-by-step explanation:
The information provided is as follows:
Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.The variable x is the number of pairs of pants.
The total cost function for Kelsey will be:
[tex]TC_{K}=17.95\cdot x+24[/tex]
The total cost function for Jeana will be:
[tex]TC_{J}=18.95\cdot x+18[/tex]
Consider that both pay the same total cost for their purchases.
Compute the value of x as follows:
[tex]TC_{K}=TC_{J}[/tex]
[tex]17.95\cdot x+24=18.95\cdot x+18\\\\18.95\cdot x-17.95\cdot x=24-18\\\\x=6[/tex]
Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
PLEASE ANSWER ASAP WILL MARK BRAINLEST
Paul and Dana both want to find the change from the 6 AM temperature to the new 12 PM temperature.
Paul says that you can use a number line and add the distance from 0 to the 6 AM temperature and from 0 to the new 12 PM temperature. Dana says that you can subtract -1.4 from the new 12 PM temperature.
Is either Paul or Dana correct> Explain your reasoning and find the change in temperature.
Answer:
Paul is correct
Step-by-step explanation:
You can add the distance of 0 to 6 AM and 0 to 12 PM, and doing so on a number line. On a number line you would add them and lets say 6 AM is 6 degrees and 12 PM is 12 degrees, you would add 6 and 12 to get 18. While doing so you would got 1 2 3 4 5 6 7 8 9 and so on. Thus, finding the difference.
I know I'm late but can I still get that brainliest
Mr. Swanson bought a package of 10 disposable razors for $6.30.He found that each razor lasted for 1 week. What was the cost per day?
Answer:
don't even know hope u get it tho
graph the following: y = -4x – 1.
This is a line portrayed in point-slope form.
First, put a point at (0, -1). This is your y-intercept.
Next, go down 4 units and to the right one unit. Place a point at (1, -4). Then go down another 4 units and right once more. Place a point at (2, -8).
Now, go back to your y-intercept and go up 4 units and to the left one unit. Place a point at (-1, 3).
Finally, draw a line connecting all your points.
Find the rate of change in the graph
Answer:
4/3
hope this helped :)
PICK ALL THAT ARE EQUIVALENT TO -5/19
Answer:
Step-by-step explanation:
The anwser is 2,3,4,5
Answer:
...
Step-by-step explanation:
hey your from my middle school! we are in the same class!
EASY You make a salad to share with friends. Your sister eats 1/3 of it before your friends arrive. You want to divide the leftover salad evenly among six friends. Which expression describes the situation? *
A. 6 ÷ 2/3
B .2/3 ÷ 6
Answer:
b
Step-by-step explanation:
Answer:
I would have to say B, because 2/3 divided by 6 = 1/9. Plus, I think this would make sense considering we're dealing with a fraction problem. I hope this will help m8! ;)
Step-by-step explanation:
Use the graph to find the midpoint between O and H.
(4, -1)
(-2, 8)
(8, -2)
(-1, 4)
Answer:
(-1, 4)
Step-by-step explanation:
-5+3/2 = -1
6+ 2/2 = 4
(-1, 4)
An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.
Answer:
Step 1
Write and solve the inequality:
2,500 + 40a ≥ 4,000, or 40a ≥ 1,500
a ≥ 37.5
Step 2
If the shelter places 30 cats and 10 dogs,
or 40 animals, that will be enough to meet
its goal, because a = 40 is a solution to the
inequality a ≥ 37.5.
The function g(x) = (x + 2)2 + 4 is a transformation of the parent function f(x) = x2. Select all the statements that are true about the transformation.
A. Function g is the result of f being translated right 2 units and down 4 units.
B. Function g is the result of f being translated left 2 units and up 4 units.
C. The graph of function f opens upward.
D. The graph of function g opens downward.
E. The graph of function f is compressed by a factor of 2.
Answer:
Step-by-step explanation:
B
C
Using translation and parabola concepts, it is found that the correct options are:
A. Function g is the result of f being translated right 2 units and down 4 units.
C. The graph of function f opens upward.
------------------------------
The parent function is: [tex]f(x) = x^2[/tex]Function g is given by: [tex]g(x) = (x + 2)^2 + 4[/tex]Shifting a function f(x) a units to the right is the same as finding f(x + a).Shifting a function f(x) a units up is the same as finding f(x) + a.From the last two bullet points, option A is correct and option B is incorrect.In both functions, f and g, the term that multiplies [tex]x^2[/tex] is positive, thus, both open upward, which means that option C is correct and option D is incorrect.Both are multiplied by the same factor, 1, thus none are compressed, and option E is incorrect.A similar problem is given at https://brainly.com/question/4521517
Please help me I’m from Texas so I am stupid
Answer:
Given h(x) = -x + 2, find h(4).
Step-by-step explanation:
Answer:
Graph A
Step-by-step explanation:
Because the inequality is
[tex] \leqslant or \geqslant [/tex]
it means the line will be solid, not dashed. Also, because the y variable is on the less than side of the equation, it means the shaded are will be under the line.
20 POINTS AND BRAINLYIST
y = -2x/3 + 490. 490=y-intercept. -2x=slope. translated to function notation
Answer:
f(x)= -2x+490
Step-by-step explanation:
f(x)=mx+b
where m=slope and b=y-intercept
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