Answer:
After 5 months each company will charge the same amount
Step-by-step explanation:
Math Modeling
The situation raised in the question can be modeled as follows.
Company A charges $75 upfront (flat or fixed fee) plus $20 a month. Being x the number of months of subscription, the total charge Ca is:
Ca = 75 + 20x
Company B charges no upfront fees, and $35 a month. We model its charges Cb as:
Cb = 35x
We want to know the number of months needed to make both companies charge the same amount. We'll do that by equating Ca=Cb:
75 + 20x = 35x
Subtracting 20x:
75 = 35x - 20x
Swapping and simplifying:
15x = 75
Solving:
x=75 / 15
x=5
After 5 months each company will charge the same amount
During your morning workout, you run for 20 seconds for every 3 seconds you sprint. Determine the constant of proportionality for the ratio between the number of seconds you run and the number of seconds you sprint.
Answer:
Constant of proportionality; k = 20/3
Step-by-step explanation:
Let running be A and sprinting be B.
Now, we are told that you run 20 seconds for every 3 seconds you sprint.
This means that is directly proportional to B and written as; A ∝ B.
Now, constant of proportionality is simply the ratio between 2 quantities that are directly proportional.
Thus, A = kB
Where k is the constant of proportionality
Plugging in the values of A and B we are given, we have;
20 = 3k
Divide both sides by 3 to get;
k = 20/3
Please help me with these 2 questions :(
Answer:
1st: y=-2x-3
2nd:y=-2x-13
Step-by-step explanation:
Since the line is parallel to y = -2x-4, its slope is -2. Therefore, we have the equation y=-2x
But when we evaluate that equation at -1, we get -2(-1)=2, but we want to make it equal to -1 when evaluated at -1. Therefore, we can subtract 3, as 2-3=-1.
Therefore, the equation is y=-2x-3.
For the second question, we can use a similar concept. The slope will be -2, but if you directly evaluate it at -4, it's going to be 8, but we want it to be -5, so we subtract 13.
Therefore, the equation is y=-2x-13
Problem 1
Answer: y = -2x-3--------------
Explanation:
Parallel lines have equal slopes but different y intercepts.
Linear equations in the form y = mx+b have slope m and y intercept b.
The slope of y = -2x-4 is m = -2
So any parallel line to this will also have m = -2
Plug (x,y) = (-1,-1) along with the value of m, into y = mx+b and solve for b
y = mx+b
-1 = -2(-1)+b
-1 = 2+b
2+b = -1
b = -1-2
b = -3
The parallel line is y = -2x-3
==============================================
Problem 2
Answer: y = -2x-13--------------
Explanation:
We'll use the same ideas and steps as problem 1.
y = -2x-5 has slope m = -2
The parallel line also has slope m = -2
We want the parallel line to go through (x,y) = (-4,-5)
So,
y = mx+b
-5 = -2(-4)+b
-5 = 8+b
8+b = -5
b = -5-8
b = -13
The parallel line is y = -2x-13
6*? -4=17. Please answer my question
Answer:
3.5
Step-by-step explanation:
add 4
6x=21
divide by 6
x=3.5
write an equation for the line Below
Answer:
y=-1/2x
Step-by-step explanation:
Answer:
y=-1/2x
Step-by-step explanation:
shown in graph
find the length of x
Given the sample data x: 23 17 15 30 25 (a) Find the range.
15 because range is biggest number (30) take away smallest number (15)
Is 1/3 a repeating decimal ?
Answer:
yes i also poop on poop though so it is fun
Step-by-step explanation:
1/3= poop
Answer:
Yes.
Step-by-step explanation:
1/3 = 0.333333333
If 3x-y=12, then y/3=?
Answer:
4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
To find what y equals, x has to be 0.
3x-y=12
3(0)-y=12
-y=12 (multiply by -1 so y is not negative)
y=-12
Because y=-12 you need to do -12/3 to get your answer to y/3
-12/3=-4
express the polynomial 5x^2+8x^5-3^3+4-9x in standard form
Answer:
The answer is 8x^5 + 5x^2 + 9x − 31
It cost Emma $5.34 to send 178 text messages. How much does each text cost to send?
Answer:
approximately $0.33
Step-by-step explanation:
you just do 178/5.34
Round the number to the place of the underlined digit. 42.76 The rounded number is
Answer:
what am i supposed to be rounding to
Step-by-step explanation:
if i was rounding to the tenths it would be 42.8
Hi - hi = x
(x) - hi + no = y
(y) x (x) =?
If you can solve this you get brainliest.
Answer:pi=72628
Step-by-step explanation:
Answer:
hi=bye
Step-by-step explanation:
what is the equation of the line for figures G and
H
Answer:
B = C + (C - A) = (51/50 + 51/50 - 2, 457/50 + 457/50 - 9) = (1/25, 232/25).
Step-by-step explanation:
At an end-of-summer clearance sale, Nathan sees a hat marked "65% Off." The original price was $12.98.
Part A
How much money is discounted from the original price? Show your work. Round your answer to the nearest cent.
Answer:
$4.54
Step-by-step explanation:
Because if you take $12.98 and multiply that by 65% you will get 8.437 and when you subtract that by the original amount you will get $4.54.
Evaluate the expression -7(-6)+12
Answer: 54
Step-by-step explanation: coz I juss know
You launch a model rocket that has a mass of 1 kg. At a height of 500 m, it is
traveling at 120 m/s. What is its kinetic energy at this point?
A. 7,200 J
B. 60 J
C. 14,400 J
D. 29 J
This is for apex i need help asap
What other combinations of sides and angles do you think we can use to conclude that the triangles are congruent?
Ansi need this too
Step-by-step explanation:
using logarithms table, evaluate
4.962-√4.779
Answer:
3.404
Step-by-step explanation:
the last washer is 7/10 pls help me thank u
10b - 2 = 7b - 7.4 NEED ASAP!!!!!!!
Answer:
b=−1.8
Step-by-step explanation:
Solve It! The area of a rectangular solar panel is given by the trinomial below.
x^2+7x+12
The height of the solar panel is given by the binomial below.
x+3
What is an expression for the length of the panel?
A.x^2+6x+9
B.x+3
C.x^2+3
D.x+4
Answer:
im not sure hmu if gets answered
Step-by-step explanation:
pls help asap for brainiest answer!
Answer:
Quest 1. is C, i.e 8. besides thier base are equal.
Quest 2. is D
Wuest 3. is C
Can some one send me the Answers to this book plzz
Answer:
all of the answers should be in the back
Step-by-step explanation:
What is 60 percent of 92?
O 1.53
0 5.52
O 15.3
0 55.2
60 percent of 92 is 55.2 after applying the concept of the percentage, option (D) 55.2 is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
60 percent of 92
Let x be the 60 percent of the 92
x = 60 % of 92
x = (60/100)92
x = 55.2
Thus, 60 percent of 92 is 55.2 after applying the concept of the percentage, option (D) 55.2 is correct.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ6
Drawing one card from a standard deck of cards. what is the sample space and outcome?
Answer:
sample space 2 inches outcome 1/52
Step-by-step explanation:
jacinda May 16 baskets during the basketball game Greta May 4 baskets the number of baskets jacinda made is how many times more than a number of baskets Greta made
Answer:
4
Step-by-step explanation:
-17 + 20 + (-3)
SOMEBODY HELP ME PLS ASAP
Answer:
0
Step-by-step explanation:
Can someone please help, ty!!
Answer:
A
Step-by-step explanation:
if its negative its going to face downwards
also, the +3 means you go up on the y axis
if its just x its 1/1
In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 101. What is the probability that the sample proportion will be within 3 percent of the population proportion?
Answer:
0.5137
Step-by-step explanation:
The margin of error equals the critical value times the standard error.
MoE = CV × SE
In this case, the critical value is the z-score.
For a proportion, the standard error is:
SE = √(pq/n)
SE = √(0.75 × 0.25 / 101)
SE = 0.04309
Therefore:
0.03 = z × 0.04309
z = 0.6963
So the probability is:
P(-0.6963 < Z < 0.6963)
= P(Z < 0.6963) − P(Z < -0.6963)
= 0.7569 − 0.2431
= 0.5137
Please help what Is
1/5 x -9.5
Answer:
-1.9
Step-by-step explanation:
Hope this helps!
Answer:
-1.9
Step-by-step explanation:
0.2 x -9.5 = -1.9