Answer:
Step-by-step explanation:
Any number equal to or greater than 20 is a solution. 22 would be a solution.
A cell phone provider offers a plan that costs $40 per month plus $0.20 per text message sent or received. A comparable plan costs $70 per month but offers unlimited text messaging.
Answer:
For, 250 messages the plans cost the same. Under 250 messages, plan A is cheaper.
Step-by-step explanation:
Giving the following information:
Plan A:
Fixed costs= $40
Variable cost= $0.2
Plan B:
Fixed cost= $40
I assume that we have to determine the indifference point, where the two plans cost the same.
First, we need to establish the total cost equations
Plan A= 20 + 0.2x
Plan B= 70
x= number of messages
Now, we equal both formulas and isolate x:
20 + 0.2x = 70
0.2x= 50
x= 250
For, 250 messages the plans cost the same. Under 250 messages, plan A is cheaper.
A tent that initially sold for $68.00 is on sale for 21% off. What is the sale price of the tent?
a. $41.28
b. $47.00
c. $47.00
d. $323.81
Answer:
Hey!
Try this!
Take the original price.
Divide the original price by 5.
Alternatively, divide the original price by 100 and multiply it by 20.
Subtract this new number from the original one.
The number you calculated is the discounted value.
Enjoy your savings!
Answer:
Step-by-step explanation:
100-21 gives you 79 so 68.00- .79, however, that gives you 53.72
Simplify this problem for me
Answer:
[tex]\displaystyle E=e^{5x}[/tex]
Step-by-step explanation:
Exponentials
Properties of exponentials:
[tex]x^ax^b=x^{a+b}[/tex]
[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
Simplify:
[tex]\displaystyle E=\frac{e^{-2}\cdot e^{2x+3}}{e^{1-3x}}[/tex]
Multiplying in the numerator:
[tex]\displaystyle E=\frac{e^{-2+2x+3}}{e^{1-3x}}=\frac{e^{+2x+1}}{e^{1-3x}}[/tex]
Applying the quotient:
[tex]\displaystyle E=e^{2x+1-(1-3x)}[/tex]
Operating:
[tex]\displaystyle E=e^{2x+1-1+3x}[/tex]
Simplifying:
[tex]\boxed{\displaystyle E=e^{5x}}[/tex]
What is the remainder of x^4-6x^3-10x^2+20x+15
divided by (x + 2)
0-1
0-49
O 15
0 -17
Answer:
0 - 1
Step-by-step explanation:
U can do by simple division method to get the answer
A small box measures 6 in. by 4 in. by 3 4 3 4 in. high. Find the volume of the box.
Answer:
Step-by-step explanation:
6*4*3434=24*3434=82416
Colton has 888 comedy movies, 666 action movies, 555 fantasy movies, and 111 drama movie on his list of favorite movies. For every 555 movies on the list, there are 222 \_\_\_\_____\_, \_, \_, \_ movies.
Answer: Comedy
Step-by-step explanation:
Find out the percentages of each of the movies. First find the total quantity.
= 888 + 666 + 555 + 111
= 2,220 movies
Comedy = 888/2,220 * 100% = 40%
Action = 666 / 2,220 * 100% = 30%
Fantasy = 555/2,220 * 100% = 25%
Drama = 111/ 2,220 * 100% = 5%
222 movies out of 555 is:
= 222 / 555 * 100%
= 40%
222 movies out of 555 movies will therefore be comedy.
Answer:
222/555 are comedy
What is the missing reasons in the proof?
answer:
substituion property or transitive property
step-by-step explanation:
we already knew that <ABC was 90 degrees, therefore all we had to do was substitute, therefore transitive propertyABCD is a parallelogram. Find the measure of ABC.
12°
B
130°
A
389
12°
с
38°
50°
Answer:
50°
Step-by-step explanation:
As we know that the opposite angles of parallelogram are equal so
< ADC = < ABC
< ABC = 38° +12°
< ABC = 50°
Hope it will help :)
Suppose that the probability that your mail is delivered before 2 pm. 90. What is the probability that your mail will be delivered before 2 pm for two consecutive days? Give your answer as a decimal.
Thank you!
Answer:
Step-by-step explanation:
1. The probability that your mail is delivered before 2 pm is 0.9, so the probability that the mail is delivered at 2 pm or after 2 pm (so not before 2 pm) is 1-0.9=0.1.
Remark: 0.9=9/10=90/100=90%, and 0.1 is 10%
2. Probability of the mail being delivered before 2 pm for 2 consecutive days is
3. take a look at the picture attached, the tree diagram is another method we could use.
Answer:
.81
Step-by-step explanation:
I have acellus too and this is the correct answer. I can't explain it very well. Sorry!
Find the value of y for the given value of x.
y=2x−3;x=−4
y=
Step-by-step explanation:
Given
y = 2x - 3
if x = - 4 Then
y = 2 * ( -4) - 3
= -8 - 3
= - 11
Hope it will help :)
The value of y when the value of x is equal to the negative number 4 is negative 11 (-11).
What is an unknown variable?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
The expression for the variable x and y are given as,
[tex]y=2x-3[/tex]
The x value for the above expression is given as,
[tex]x=-4[/tex]
The value of y for the above value of x has to be found out. Put the value of x in the given expression to find the value of variable y as,
[tex]y=2(-4)-3[/tex]
Solve it further as,
[tex]y=2(-4)-3\\y=-8-3\\y=-11[/tex]
Hence, the value of y when the value of x is equal to the negative number 4 is negative 11 (-11).
Learn more about the unknown variable here;
https://brainly.com/question/1235185
Write an equation for the following description.
y is nine times the value of x.
Answer: y=9x
Step-by-step explanation:
Answer:
y = 9x
Step-by-step explanation:
Have a great day
Given the relation y = 3x^2 + 1, if the input is 4, what is the output?
Answer:
Step-by-step explanation:
y=3(4)²+1
=48+1
=49
Answer:
The output is 49
Step-by-step explanation:
If the input is 4, then x = 4.
Replace x with 4 and you have the equation:
3(4)^2 + 1 = 49
Because Y is the output, and Y = 49, the output is 49
HELP ASAP PLEASE! I need to write an equation in point-slope form of the line that passes through the points below
Step-by-step explanation:
step 1. pick one of the points: (-2, 5)
step 2. calculate the slope of the points (-2, 5) and (1, -1). m = (-1 - 5)/(1 - (-2)) = -6/3 = -2
step 3. plug them in: y - y1 = m(x - x1) = y - 5 = -2(x - (-2)).
what is the slope of the line shown below?
Answer:
A
Step-by-step explanation:
m = (-7 - 6 ) / (-5 - 1)
m = -13 / -6
m = 13/6
anyone mind helping me out ?
Answer:
18/3
Step-by-step explanation:
6x3=18
-
The first three terms of a geometric sequence are as follows.
2, 10, 50
Find the next two terms of this sequence.
Answer:
250, 1250
Step-by-step explanation:
Since 10/2 = 50/ 10 = 5, the common ratio = 5 So the next term in the sequence is found by multiplying the last term by 5.
Therefore, 50 x 5 = 250 and 250 x 5 = 1250. So, the next two terms in your sequence are 250 and 1250
Erin buys a bag of peanuts that weighs 3/4 of a pound later that week they the bag is two-thirds full how much does a bag oftwo-thirds full how much does a bag of peanuts weigh now
PLZ HELP WITH THESE AND FAST!!!!!!!!!!!!
Answer:
(11+4)/3*square root of 64=40
Step-by-step explanation:
11+4=15
15/3=5
the square root of 64 is 8
5*8=40.
76% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below.
Answer:
[tex]E(x) = 4.56[/tex] --- Mean
[tex]s^2 = 1.0944[/tex] --- Variance
[tex]s = 1.0461[/tex] --- Standard Deviation
Step-by-step explanation:
See Comment for missing details
Given
[tex]p = 0.76[/tex] --- proportion
[tex]n = 6[/tex] -- sample
Solving (a): The mean; E(x)
This is calculated as:
[tex]E(x) = n * p[/tex]
Substitute values for n and p
[tex]E(x) = 6 * 0.76[/tex]
[tex]E(x) = 4.56[/tex]
Solving (b): The variance; s^2
This is calculated as:
[tex]s^2 = n*p*(1-p)[/tex]
Substitute values for n and p
[tex]s^2 = 6 * 0.76 * (1-0.76)[/tex]
[tex]s^2 = 6 * 0.76 * 0.24[/tex]
[tex]s^2 = 1.0944[/tex]
Solving (c): The standard deviation; s
This is calculated as:
[tex]s = \sqrt{s^2[/tex]
Substitute value for s^2
[tex]s = \sqrt{1.0944[/tex]
[tex]s = 1.0461[/tex]
what's 15/3 times 4? i really need this answer and its telling me to type more :/
Answer:
20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
15/3 x 4/1 = 60/3
60/3 simplified is 20/1 or 20! Hope this helps!
Write these numbers in size order start with the smallest
7/9
8/11
0.79
84%
4/5
can you slove any one question
Answer:
Step-by-step explanation:
I'm not sure how to solve the first one, but I'll try to simplify sqrt3-1/sqrt3+1. I simplified it and I got 2-sqrt3. Does that help?
For question 2, I got -0.251.
Answer:
1) [tex]\frac{\sqrt{3}-1 }{\sqrt{3}+1}=\frac{(\sqrt{3}-1)^{2} }{(\sqrt{3}+1)(\sqrt{3}-1) }=\frac{4-2\sqrt{3} }{3-1}=\frac{4-2\sqrt{3} }{2}=2-\sqrt{3}[/tex]
but [tex]\frac{\sqrt{3}-1 }{\sqrt{3}+1 }=a+b\sqrt{3}[/tex]
=> a = 2
b = -1
2) [tex]\frac{\sqrt{10}-\sqrt{15} }{2\sqrt{2} }=\frac{\sqrt{20}-\sqrt{30} }{4}=\frac{2\sqrt{5}-\sqrt{30} }{4}=-0.251[/tex]
Step-by-step explanation:
-4+2(5k-6)=-3k-39
need it with the steps
Which of the following is equal to the expression below?
A.
B.
C.
D.
Answer: I think it might be B. Sorry if incorrect
Step-by-step explanation:
The enrollment at a university increased from 1,000 students to 6,000 students over a 6-year period. What was the percent increase in enrollment over that time period?
Answer: 500%
Step-by-step explanation:
The percent increase is calculated as:
= (New number of students - Old number of students) / Old number of students * 100%
= (6,000 - 1,000) / 1,000 * 100%
= 5 * 100%
= 500%
Find the missing length in the trapezoid and explain how to get it
Answer:
10
Step-by-step explanation:
Use Pythagorean theorem,
hypotenuse² = 8² + 6²
= 64 + 36
= 100
hypotenuse = √100 = √(10*10)
Hypotenuse = 10
Sixty percent, or 12, of the students in Alex's class are going to the movies. 2/3, or 14, of the students in Mary's class are going to the movies. Which class has more students? Justify your answer using equations.
Answer:
Mary's class.
Step-by-step explanation:
One way to do this is to figure out how many students are in Alex's class and how many students are in Mary's class.
60% of Alex's class is 12 students
[tex]\frac{12*100}{60}[/tex] = [tex]\frac{1200}{60}[/tex]= 20 students
[tex]\frac{2}{3}[/tex] or 66.66% (repeating) of Mary's class is 14 students
[tex]\frac{14*100}{66.66}[/tex] = [tex]\frac{1400}{66.66}[/tex] = 21 students
(^^66.66 repeating)
Mary's class has more students than Alex's class.
find the product of 3.5 and 0.22
Answer: 0.77
Step-by-step explanation:
[tex]3.5 \times 0.22 = 0.77[/tex]
Just multiply the two numbers together.
The width of a rectangle is five more than two times the length. The perimeter of the rectangle is 106 inches. What are the dimensions of the rectangle?
Given that the triangles are similar, find the value of x. Find the length of NR.
S
T
40
60
R
2x-2
8
N
M M
X
NR =
Given:
Figure of similar triangles.
To find:
The value of x and the measure of NR.
Solution:
In triangle RST and RMN,
[tex]\angle SRT\cong \angle MRN[/tex] (Vertically opposite angles)
[tex]\angle RST\cong \angle RMN[/tex] (Alternate interior angles)
[tex]\Delta RST\sim \Delta RMN[/tex] (By AA property of similarity)
We know that, corresponding sides of similar triangles are proportional.
[tex]\dfrac{RS}{RM}=\dfrac{RT}{RN}[/tex]
[tex]\dfrac{40}{8}=\dfrac{60}{2x-2}[/tex]
[tex]5=\dfrac{60}{2x-2}[/tex]
[tex]2x-2=\dfrac{60}{5}[/tex]
On further simplification, we get
[tex]2x=12+2[/tex]
[tex]x=\dfrac{14}{2}[/tex]
[tex]x=7[/tex]
The value of x is 7.
Now,
[tex]NR=2x-2[/tex]
[tex]NR=2(7)-2[/tex]
[tex]NR=14-2[/tex]
[tex]NR=12[/tex]
Therefore, the value of x is 7 and the measure of NR is 12 units.