Given:
Anna’s cell phone plan charges her $30 per month plus a $150 one-time activation fee.
Evelyn’s cell phone plan charges her $20 per month, plus a $450 one-time activation fee.
To find:
The number of months after which the costs for the girls’ cell phone plans the same.
Solution:
Let x be the number of months.
Total cost = Fixed cost + Variable cost
According to the question, cost equation for Anna’s cell phone is
[tex]y=150+30x[/tex] ...(i)
Cost equation for Evelyn's cell phone is
[tex]y=450+20x[/tex] ...(ii)
Equate (i) and (ii) to find the time after which the costs for the girls’ cell phone plans the same.
[tex]150+30x=450+20x[/tex]
[tex]30x-20x=450-150[/tex]
[tex]10x=300[/tex]
Divide both sides by 10.
[tex]x=\dfrac{300}{10}[/tex]
[tex]x=30[/tex]
Therefore, the costs for the girls’ cell phone plans the same after 10 months.
Add 1/2 + (-3/4)= show the work
Answer:
2/4 - 3/4 = -1/4
Step-by-step explanation:
2/4 is half
3/4 is a little more than half
2/4-3/4=1/4
Hope this helps!! :D
Which transformation represents a reflection over the x-axis?
O (X,Y) - (-x, y)
O(x,y) → (X, -y)
O(x, y) (y,x)
(x, y) - (-y, x)
Find the product 9,361×7=
Answer:
65,527
Thank you and please rate me as brainliest as it will help me to level up
Brainliest!!!!! Please hurry!!
Answer:
y = (-1/3)(x - 7) + 3
Step-by-step explanation:
m = (6-3)/(-2-7) = - 1/3
y - 3 = (-1/3)(x - 7) ⇒ y = (-1/3)(x - 7) + 3
Who do u guys think will win National League MVP if ur right u'll get brainlyest
no idk
Answer:
Will Leitch
Step-by-step explanation:
I need help !!!!!! Please bZ÷12=9
Answer:
The answer is b=18/z
Step-by-step explanation:
Let's solve for b.
bz/2=9
Step 1: Divide both sides by z/2.
1/2bz/z/2=9/z/2
b=18/z
Answer:
b=18/z
What is the 100th term in the sequence an= 4n-12
The hundredth term of the given sequence is 388.
What is a sequence?In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given that, we need to find the 100th term in the sequence an= 4n-12,
Put n = 100,
a₁₀₀ = 4 x 100 - 12
= 400 -12
= 388
Hence the hundredth term of the given sequence is 388.
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PLEASE HELP!!!!!
a,b,c,or d?!?!?
Answer:
A
Step-by-step explanation:
MARK BRAINLIEST
Is 40.8 less than or greater than 0.71
Answer: greater than
Step-by-step explanation:
Simplify 3 square root of 512
Answer:
8
Step-by-step explanation:
not sure if this is what ur looking for sorry
The simplified form of 3√(512) using radical is 48√(2).
To simplify √(512), find the prime factorization of 512.
Prime factorization of 512:
512 = [tex]2^9[/tex]
Now, rewrite the square root as follows:
√(512) = √[tex](2^9)[/tex]
Next, use the property of square roots that states √(a * b) = √(a) * √(b):
√[tex](2^9)[/tex] = √([tex]2^8 * 2)[/tex]
= √[tex](2^8) * \sqrt(2)[/tex]
Since √[tex](2^8)[/tex] is equal to [tex]2^4[/tex] then
√(512) = [tex]2^4[/tex] * √(2)
Finally, simplify √(2) as it is not a perfect square:
√(512) = [tex]2^4[/tex]* √(2)
= 16 * √(2)
So, the simplified form is 48√(2).
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*PLEASE SOLVE USING EQUATIONS*
How old am I if 200 reduced by 2 times my age is 46?
A) 89
B) 83
C) 77
D) 108
Answer:
C) 77
Step-by-step explanation:
77 times 2= 154
200-154= 46
Regroup the integers
24 dollars for 7 books can you give me the rate and unit plz and thank you love
Answer:
4 dollars per book
Step-by-step explanation:
On the last day of school, Davon surveys the students in his class to find out how many absences each had during the school year. The results are shown below.
{15, 0, 10, 1, 4, 4, 7, 6, 9, 9, 13, 11, 6, 5, 3, 8, 4, 3, 10, 17, 11, 4, 4, 3}
Represent these data on the histogram below.
!!!PLEASE HELP!!! To create the histogram, place your cursor over each interval on the x-axis then click and drag the bar up to graph the correct number of students. If you need to change the number of students you placed, click the top of the bar then drag the bar up or down to show the number of students you need. (there are 5 colums and it only goes up to 12)
Answer:
0-2 = 2. 3-5 = 9. 6-8 = 4. 9-11 = 6 12 & more = 3
Fill in the blank.
x 3 x 4 = 84
Answer:
the missing value is 7
Step-by-step explanation:
Suppose Borman earned $148,000 last year. She calculates her self-employment tax by multiplying
$148,000 by 15.3%, which equals $22,644. Is Borman correct? Briefly explain.
Answer:
Yes Borman is correct.
Step-by-step explanation:
Borman moved the decimal point 2 spaces to the left which gave her 0.153
Then she multiplied that by $148,000 to get 15.3% of it which would give her $22,644 so therefore, she is correct.
10+10 Chloe answer
Answer:
20
Step-by-step explanation:
Mr. Ramirez purchased 25 concert tickets for a total of $245. The concert tickets cost $17 for adults and $12 for children under the age of 12.
Answer:
Step-by-step explanation: Use the variables “a” for adults and “c” for children.
Tuition for one year at the University of Houston is about $12,300. Azul plans to attend this university and will save money each month for the next 4 years. His parents have saved $4,860 for his first year of tuition. Which plan shows the amount of money Azul will need to save in order to pay for his first year at the University of Houston?
A. Azul will need to save $1,860 per month for the next 4 years.
B. Azul will need to save $155 per month for the next 4 years.
C. Azul will need to save $620 per month for the next 4 years.
D. Azul will need to save $256.25 per month for the next 4 years
Answer:
It should be C. 620
Step-by-step explanation:
Using proportions, it is found that Azul will need to save $155 per month for the next 4 years, and the correct option is B.
The total price of one year of tuition is $12,300, while his parents have saved $4,860.Thus, the amount he has to save for the next 4 years is:
[tex]A = 12300 - 4860 = 7440[/tex]
4 years have 48 months, thus, he has to save $7440 in 48 months, which means that the monthly amount is:[tex]\frac{7440}{48} = 155[/tex]
And the correct option is:
B. Azul will need to save $155 per month for the next 4 years.
A similar problem is given at https://brainly.com/question/24342347
Find the value of x that makes u and v parallel
Answer:
3
Step-by-step explanation:
equate the two together to get the value of x
NEED HELP ASAP 1 THRU 8 would mean alot!
Answer:
1. s
2. c
3. (-8,6)
4. 3y and 8y
5. 11b + 2a
6. 11x-24
7.
8. 45y-44
Step-by-step explanation:
which expression is equivalent to 6-(-8)
○ -6+8
○ -6+(-8)
○ 6+(-8)
○ 6+8
Answer: 6 + 8
Step-by-step Explanation: When you're adding and subtracting positives and negatives and you see a minus a negative in a problem, you can change it to plus a positive.
So 6 - (-8) can be thought of as 6 + (+8).
Answer:6+8
Step-by-step explanation:
When full, the gas tank of a car holds 22 gallons. It now contains 16.5 gallons. What percent represents how full the tank is?
Answer:
75%
Step-by-step explanation:
16.5/22 = 0.75
0.75 x 100 = 75
∴ 75% of the tank is full.
Find the scale factor to map ΔABC onto ΔA′B′C′.
Question 19 options:
A)
3
B)
1∕3
C)
1∕2
D)
4
Answer:
answer is 1/3 so B
Step-by-step explanation:
If ∠BAC ≅ ∠DCA, is ABE ≅ CDE? Explain.
A. Yes; the triangles are congruent by AAS.
B. Yes; the triangles are congruent by ASA.
C. Yes; the triangles are congruent by SAS.
D. No; the triangles are not congruent.
Answer:
The answer is A.
Step-by-step explanation:
It is A because both sides match up except for the last pair, where they are the same. Hope this helped!
What is the basic ratio of 36:84
3:7
Step-by-step explanation:
divide them both by 12
Answer:
3/7
Step-by-step explanation:
you keep simplyfiying until you get to the unit rate.
please help I begging u
What is the vertex of the graph of the function below?
y= x2 - 10x + 21
O A. (5,-4)
B. (3,0)
O C. (5,0)
OD. (3,-4)
Answer:
Step-by-step explanation:
A. (5,-4)
The vertex of the graph of the function is (5,-4).
The answer is option A.
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,
To find the vertex of the function y = x² - 10x + 21,
We can use the formula:
x = -b/2a
where a is the coefficient of the x² term, b is the coefficient of the x term, and x is the x-coordinate of the vertex.
In this case,
a = 1 and b = -10, so:
x = -(-10)/(2 x 1) = 5
To find the y-coordinate of the vertex, we can substitute x = 5 into the function:
y = (5)² - 10(5) + 21 = -4
Therefore,
The vertex of the graph of the function is (5,-4).
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Figure LMNO maps to L'M'N'O' by a 125° rotation about point T.
Quadrilateral L M N O is rotated 125 degrees about point T to form quadrilateral L prime M prime N prime O prime.
Which congruency statement is correct?
LMNO ≅ L'M'N'O'
LMNO ≅ O'M'N'L'
ONML ≅ M'O'N'L'
ONML ≅ O'M'N'L'
Answer:
A= LMNO ≅ L'M'N'O'
Step-by-step explanation:
just did it trust me
A= LMNO ≅ L'M'N'O'. Hope this helps!!
6 and three-fourths divided by 1 and two-thirds?
Answer:
81/20
Step-by-step explanation: