Answer:
Plan A : f(x) = 25 + 8x
Plan B : f(x) = 5 + 12x
Plan A is better if used for more than 5 months (5 - ∞), plan B for 1 - 4 months
Step-by-step explanation:
x represents months
Plan A : f(x) = 25 + 8x
Plan B : f(x) = 5 + 12x
The equilibrium is when both of these functions have the same value
25 + 8x = 5 + 12x
4x = 20
x = 5
Now we compare these two plans before the 5 months,
e. g. when x = 2
The cost of plan A: 25 + 8x = 25 + 8 * 2 = 41$
The cost of plan B: 5 + 12x = 5 + 12 * 2 = 29$
Since 41$ > 29$, for 1-4 months plan B is a cheaper option, then after 5 months the costs of these two plans are equal and then plan A will be the cheaper aka less expensive option.
Make me the brainliest ;)
At the end of a year, the gross debt of a country stood at about $17 trillion. Express this amount
dollars per person, assuming that the population of the country is about 303 million
The gross debt is about $ per person
(Type a whole number. Round to the nearest hundred as needed.
Answer:
Your answer
56100 per person
Mark it as Brainlist answer. Follow me to get more answer
Step-by-step explanation:
The smallest angle of a triangle is measure x degrees. The second angle is 45 degrees more than the smallest angle. The third angle is three times larger as the smallest angle. Write algebraic expression to express measures of the second and third angles of the triangle.
Answer:
Smallest angle = 27°
Second angle = 72°
Third angle = 81°
Step-by-step explanation:
Given:
In triangle
Smallest angle = x
Second angle = x + 45
Third angle = 3x
Find:
All angle
Computation:
Using angle sum property
x + x + 45 + 3x = 180
5x + 45 = 180
x = 27
Smallest angle = 27°
Second angle = x + 45
Second angle = 27 + 45
Second angle = 72°
Third angle = 3x
Third angle = 3(27)
Third angle = 81°
Which ones are true and false? 5th grade problem. Correct answer will be marked brainliest.
Answer:
1. True
2. True
3. False
Step-by-step explanation:
1. As long as a few of the animals reproduce the species should survive unless a terrible tragedy were to happen and all of the species lie with a d because their food ran out or their predators Drilled with a k them all. Honestly I am not sure about this question that much an even though these are fifth grade problems I am in fifth grade right now so yeah.
2. I did a quick search about this and I also used some of my logic and it would not make since if animals were to hang out in dry vernal pools. Unless there are animals out in the world that like living in stead plants and dried up water it would not make much since to choose false.
3. Scientists knowledge are growing every day so it is impossible to know everything about one subject because there is always more to learn.
Arrange to Least to Greatest:
1.4, 0, 0.14, 1/4, 1, -1/4
One fifths the difference between 2/5 and 1/2
Answer:
1/50
Step-by-step explanation:
1/2 - 2/5 = 5/10 - 4/10 = (5-4)/10 = 1/10
1/5 * 1/10 = 1/(5*10) = 1/50 = 0.02
Answer:
1/50
Step-by-step explanation:
1/2 - 2/5 = 5
/10 - 4/10 =
1/10 / 5 =
1/50
Hope that helps!
Melanie purchases 6 basketballs and 2 volleyballs for $114. A volleyball cost her $3 less than a basketball. How much did each volleyball cost?
Answer:
a volleyball is $16.5
Step-by-step explanation:
6b+2v= 114
v=b-3
6b+2(b-3)= 114
6b + 2b - 6
8b - 6 = 114
8b = 108
b= 13.5
substitute b in
6(13.5) + 2v = 114
81 + 2v = 114
2v = 33
v= 16.5
Find the value of xxx in the triangle shown below
Question: Find the value of xxx in the triangle shown below
Answer: Pg.21607062
Brainly.com
2-19-21
Answer:
x = 70
Step-by-step explanation:
two different ratios equivalent to 6:9
Answer: 2:3 and 12:18
Step-by-step explanation: Find the multiples of 6 and 9
Answer:
Following are ratios equivalent to 6:9
Step-by-step explanation:
1) 12:18
2)24:36
3)2:3
4)20:30
5)10:15
A dealer gained a 10% profit by selling an article for Birr 330.00. what was original price of the article
Answer:
???????
Step-by-step explanation:
-0.5 how do I write the repeating decimal as a fraction?
Answer:
-1/2
Step-by-step explanation:
Simpify the expression.
5+4z-2z
Simpilfied expression
Answer:
2z + 5
Step-by-step explanation:
you have to combine like terms
subtract 4z - 2z and you get 2z
the number with the variable next to it goes first not the constant
2z + 5
the variable is z and the constant is 5 because it doesn't have variable next to it
hope this makes sense and helps :)
tell me if you have any questions
Step-by-step explanation:
Here as the like terms only are 4z and -2z so,
We simplify the like terms:
5 + 4z - 2z. [B.O.D.M.A.S rule] (subtraction only)
= 5 + 2z (Ans)
enter a negative number that is greater than -10.
btw this is iready
Answer:
5 6 7 8 9 10 All the positive number are grater than -10 but if it askes for negative you would you -5 -6 -7 -8 -9
Step-by-step explanation:
With all numbers, whether they are negative, zero or positive: A number is greater than another when it is to the right on the number line. Conversely a number is less than another when it is to the left on the number line.
Step-by-step explanation:
50 points Type the correct answer I’m the box
Solve for r 5r^2+5=130
Answer:
Simplifying
5r2 + 5 = 130
Reorder the terms:
5 + 5r2 = 130
Solving
5 + 5r2 = 130
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 5r2 = 130 + -5
Combine like terms: 5 + -5 = 0
0 + 5r2 = 130 + -5
5r2 = 130 + -5
Combine like terms: 130 + -5 = 125
5r2 = 125
Divide each side by '5'.
r2 = 25
Simplifying
r2 = 25
Take the square root of each side:
r = {-5, 5
Choose the letter of the correct answer. Write your answer on the line before the number at the back
page write your solution.
1. Which of the following is NOT an algebraic expression?
A. 7x + y
B. 3(m-n)
C. 8+3=1
Da + b
2. Find the value of (1 - 5)2.
A. 36
B. 16
C. -16
D. -36
25
3. Evaluate:
22
A. 64
B. 32
C. 16
D. 8
4. In the expression, m2 - 3, if m= -2, then m-3 = ?
A.-7
B.-1
C. 1
D. 7
5. What is the value of 12 + 13?
A.1
B. 2
C. 3
D.5
6. If x = -2, what is the value of -5x2 ?
A. -20 B. -10 C. 10
D. 20
Answer:
1. C
2. -8 (there are no choices for this)
3. (no question here)
4. -5 (there are no choices for this)
5. 25 (there are no choices for this)
6. D
Step-by-step explanation:
Answer:
i dot know
Step-by-step explanation:
How many cups of yogurt would 5 people get if they equally shared 3/4 cups of yougurt
A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th percentile.
Answer:
The value that corresponds to the 75th percentile is 16.35.
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A normal distribution has a mean of 15 and a standard deviation of 2.
This means that [tex]\mu = 15, \sigma = 2[/tex]
Find the value that corresponds to the 75th percentile.
This is X when Z has a pvalue of 0.75. So X when [tex]Z = 0.675[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 15}{2}[/tex]
[tex]X - 15 = 2*0.675[/tex]
[tex]X = 2*0.675 + 15[/tex]
[tex]X = 16.35[/tex]
The value that corresponds to the 75th percentile is 16.35.
3. Solve for x.
(x-2)(x+ 8) = 0
Answer:
x = 2, x = -8
Step-by-step explanation:
Since the equation equals 0, you know either (x-2) or (x+8) has to equal 0.
This means x = 2, and x = -8
Hope this helps!
Mr. Clauson bought boxes of lights to decorate his house for the holidays. He used 998 boxes containing 24 lights per box. How many lights did Mr. Clauson use to decorate his house?
Answer:
23952
Step-by-step explanation:
Answer:
23952
Step-by-step explanation:
so you would multiply 998 by 24 to get the answer
the radius of a circle is 2 kilometers. What is the circles circumference. Use 3.14 for pie
Answer: 12.56
Step-by-step explanation:
I need this done in 10mins
Answer:
Socko gained 3/5 kg from month 1 to month 2.
Step-by-step explanation:
Socko mass was 3/10 kg in month 1 and 9/10 kg in month 2.
The amount of mass he gained is k.
3/10 + k = 9/10
Subtract 3/10 from both sides.
k = 6/10
Reduce the fraction.
k = 3/5
Answer: Socko gained 3/5 kg from month 1 to month 2.
Which data set COULD NOT be represented by the box plot shown? es ) A) {12, 5, 10, 7, 8, 14, 7, 10, 4, 13,9} B) {8, 12, 7, 8, 4, 9, 10, 12, 6, 14, 13) 0) 14,513, 8, 8, 10, 9, 11, 12, 7.41 D) {6, 4.7.9.8, 8, 12, 10, 12, 13, 13}
Answer: the answer is D
Step-by-step explanation: jus got it right on usa test prep :))
The data set which could not be represented by the box plot is
{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13}
Option D is the correct answer.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
From the box plot,
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
Now,
Arrange the number in order.
A)
{12, 5, 10, 7, 8, 14, 7, 10, 4, 13, 9}
= {4, 5, 7, 7, 8, 9, 10, 10, 12, 13, 14}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
B)
{8, 12, 7, 8, 4, 9, 10, 12, 6, 14, 13)
= {4, 6, 7, 8, 8, 9, 10, 12, 12, 13, 14}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
C)
{14, 5, 13, 8, 8, 10, 9, 11, 12, 7, 4 }
= {4, 5, 7, 8, 8, 9, 10, 11, 12, 13, 14}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
D)
{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13}
= {4, 6, 7, 8, 8, 9, 10, 12, 12, 13, 13}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 13
Minimum = 4
Thus,
{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13} is not represented by the box plot.
Learn more about median here:
https://brainly.com/question/28060453
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Determine the vertex of the function f(x) = 3x2 – 6x + 13. 1. Identify the values of a and b. a = and b = 2. Find the x-coordinate of the vertex. = 3. Find the y-coordinate by evaluating the function at the x-value found in the previous step. The vertex is.
Answer:
a = 3
b = -6
-b/2a = 1
The vertex is (1, 10)
if I play rock paper scissors what is the probability of my friend will not throw paper
Answer:
2/3 chance
Step-by-step explanation:
3 different things they could do, 1 is paper.
3-1=2
Given the function rule f(x) = x2 - 5x + 1, what is the output of f(-3)? (1 point)
7
-5
25
5
Can anyone answer this please
Answer:
A) 1
f(g(1)) = 1
Step-by-step explanation:
Step(i):-
Given that the functions are f(x) and g(x)
f(x) = 3√x +1
and y = g(x)
put x=1 ⇒ y = g(1) = 0 ( from graph 1 is mapping '0')
Step(ii):-
f(g(1) = f(0)
= 3√0 +1 (∵f(x) = 3√x +1)
= 1
f(g(1)) =1
a bag contains 10 white,4 red, 3 blacK balls find the fraction of a) white bal b) blac ball c) red balls
Answer:
white=10/17
red=4/17
black=3/17
hope it helps you
please mark me as brainlist
Melissa made a school banner that is 3 yards long in a 11 over 12 yards wide what is the area of the banner
Answer:
2 3/4
Step-by-step explanation:
So area is just base X height
3 X 11/12
2 3/4
PLs help me I will give brainliest please dont answer if you don’t know
Answer:
Interest earned will be $1,118.00
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 6500 x .043 x 4
Katniss and Peeta find the sum of their ages which is 50 years. Peeta is five years older than Katniss. What are their ages?
Answer:
peeta is 30 and kat is 20 i think
Step-by-step explanation: