Answer:
1) 5x - 4 ≥ 12
5x ≥ 12 + 4
5x ≥ 16
x ≥ 16/5
2) 12x + 5 ≤ -4
12x ≤ -4 - 5
12x ≤ -9
x ≤ -9/12
Step-by-step explanation:
a cell phone company charges an initial price of $500 for a new phone and then $60 each month after the purchase. if c (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function? r: (0, 500) r: (60, 560) r: ℝ r: (–[infinity], [infinity])
The range of C(t), the function of the average monthly cost of owning the cell phone, is (60, 560].
The range of a function is the set of all y-values obtained after substituting all possible x-values.
Steps to find the range of a function:
Find the possible domain of the function.For the given problem:
The price of the device = $500
Monthly plan = $60
C(t) is defined as the average monthly cost of owning the phone.
Let t = number of months of owning the cell phone.
Then, total cost after t month = 500 + 60 t.
Hence, the average is:
C(t) = (500 + 60t)/t
C(t) = 500/t + 60
For t = 1, C(1) = 500 + 60 = 560
For t > 1, C(t) < 560
Therefore the maximum value of C(t) = 560
For t →∞ then 500/t will approach zero, hence:
C(t) →(0 + 60), or C(t) will approach 60.
Therefore, we can conclude that 60 < C(t) ≦ 560, or the range of C(t) is (60, 560].
Learn more about the range of a function here:
https://brainly.com/question/10197594
#SPJ4
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!
Michelle ordered 200 T-shirts to sell at the school carnival. She paid $2.80 per shirt, plus 5% of the total order for shipping. When she sells each T-shirt at the carnival, she adds a 150% markup to the total price she paid for the shirt (including the cost of shipping). What is the selling price of each T-shirt?
A. $4.27 per shirt
B. $4.41 per shirt
C. $4.20 per shirt
D. $4.11 per shirt
Answer: B, $4.41 per shirt
Step-by-step explanation:
To figure this out you want to first take the 200 shirts and multiply them by the cost of $2.80. This gives you a total of $560, without tax. The tax is 5%, so you want to take 560 and multiply it by .05 to find the amount of tax. This leaves you with $28 of taxes. Add that onto the already cost of $560, and it gives you a grand total of $588. She wants to sell the shirts with a 150% markup, so all you do is first find what Michelle really paid for each shirt with tax. Take the total cost of 588 and divide it by the number of total shirts which is 200. 588/200=$2.94 per shirt that Michelle paid. Times that by 1.5% and you get $4.41 per shirt that Michelle is selling.
Someone plz help me !!!
Answer:
not a sloution
Step-by-step explanation:
93÷6 is 15.5 not 15 w=15.5
Solve -1.2x+2.5=0.8x+6.5
x=2
O
x=-4 0
Answer:
x = - 2
Step-by-step explanation:
Given
- 1.2x + 2.5 = 0.8x + 6.5 ( subtract 0.8x from both sides )
- 2x + 2.5 = 6.5 ( subtract 2.5 from both sides )
- 2x = 4 ( divide both sides by - 2 )
x = - 2
Please answer this soon bc my test is running out of time
find the slope and y-intercept of the graph of the linear equation
y=-5x+2
Answer:
the y-intercept is 2/5 and the slope is -5
Step-by-step explanation:
Which statement describes a pattern in the shaded parts of the multiplication table?
A pattern in the shaded parts of the multiplication table is suitable for option b.(we multiply a number times itself to get each shaded number.)
Suppose we can use, option b,
We multiply a number times itself to get each shaded number,
Shaded parts of the multiplication table is ⇒ 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
We can write,
[tex]x^{2}[/tex] = x * x
Example:
1 = 1 * 1 = 1
4 = 2 * 2 = [tex]2^{2}[/tex]
9 = 3 * 3 = [tex]3^{2}[/tex]
16 = 4 * 4 = [tex]4^{2}[/tex]
25 = 5 * 5 = [tex]5^{2}[/tex]
36 = 6 * 6 = [tex]6^{2}[/tex]
49 = 7 * 7 = [tex]7^{2}[/tex]
64 = 8 * 8 = [tex]8^{2}[/tex]
81 = 9 * 9 = [tex]9^{2}[/tex]
100 = 10 * 10 = [tex]10^{2}[/tex]
Hence,
1 = [tex]1^{2}[/tex]
4 = [tex]2^{2}[/tex]
9 = [tex]3^{2}[/tex]
16 = [tex]4^{2}[/tex]
25 = [tex]5^{2}[/tex]
36 = [tex]6^{2}[/tex]
49 = [tex]7^{2}[/tex]
64 = [tex]8^{2}[/tex]
81 = [tex]9^{2}[/tex]
100 = [tex]10^{2}[/tex]
Therefore,
We multiply a number times itself to get each shaded number statement is suitable for a pattern in the shaded parts of the multiplication table.
To learn more about pattern shaded problems visit : brainly.com/question/8050635
#SPJ9
Rebecca is baking three cakes for a big party. If the recipe for one cake calls for 123 cups of flour, how many cups of flour does she need for three cakes?
The total number of cups of flour that Rebecca will need to bake three cakes is 369 cups of flour.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that the recipe for one cake calls for 123 cups of flour. Also, Rebecca needs to bake three cakes, therefore, the total number of cups of flour that Rebecca will need is,
Total number of cups of flour = Number of cakes × Number of cups of flour in a cake
= 3 cakes × 123 cups of flour per cake
= 369 cups of flour
Hence, the total number of cups of flour that Rebecca will need to bake three cakes is 369 cups of flour.
Learn more about Multiplication here:
https://brainly.com/question/14059007
#SPJ1
What is the slope of the line that passes through points (6, − 2) and (21, 3) ?
Answer: __________
Answer:
[tex]m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (6, -2)
Point (21, 3)
Step 2: Find slope m
Substitute: [tex]m=\frac{3+2}{21-6}[/tex]Add/Subtract: [tex]m=\frac{5}{15}[/tex]Simplify: [tex]m=\frac{1}{3}[/tex]Christine makes 9 dollars for each hour of work. Write an equation to represent her total pay p after working h hours?
To complete bookshelves, a? At your store needs to purchase vertical brackets to attach to the wall. The customer wants to shelving to be 9 feet high and 10 feet long. The wall brackets come in 48 inches and 60 inch sections the 48 inch suction cost 1295 to 60 inch sections cost 1695 the bracket should be 1 foot from each And add no more than 24 inches apart. What will the total cost of the brackets before tax
Answer:
the total cost of the brackets before tax is $89.7
Step-by-step explanation:
The computation of the total cost of the bracket before tax is as follows
Given that
height = 9 feet
length = 10 feet
wall brackets:
48-in costing $12.95
60-in costing $16.95
The distance of brackets from ends is 1 foot
The maximum distance between brackets is 24 inches
Now based on the above information
The brackets are
= 48 ÷ 12
= 4 feet
And
= 60 ÷ 12
= 5 feet
The length of the shelf is 60 inch
Now the 1 could be deducted from each side
= 60 - 2
= 58 in
Now Divide it by 24 inches
= 58 ÷ 24
= 2.41 ~ 3
Finally, The total cost is
= ($12.95 + $16.95) × 3
= $89.7
Hence, the total cost of the brackets before tax is $89.7
Select the correct answer.
Mrs. Jameson's math test scores are represented by the following data.
Which of the following lists the lower quartile, median, and upper quartile (in that order)?
O 55,78,100
O 67,78,92
O 92,78,67
O 67,78,100
Answer:
i'm pretty sure it's 67,78,92
Step-by-step explanation:
Hope this helps!
The correct answer is option B which is the lower quartile, median, and upper quartile are 67,78,92 respectively.
What is a box plot?A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.
As we can see in the given image the lower vertical line is lying at the point of 67 the middle line is lying at 78 and the higher vertical line is lying at 92.
Therefore the correct answer is option B which is the lower quartile, median, and upper quartile are 67,78,92 respectively.
To know more about the Box plot follow
https://brainly.com/question/14513996
#SPJ2
Consider function h.
h(x) = 2x-6/x+3
Which statements are true or false about the graph of function h?
The graph crosses the y-axis at (0,3).
The graph crosses the x-axis at (-2,0)
The graph has a vertical asymptote at r = -3.
The graph has a hole at (3,0).
The graph has a horizontal asymptote at y = 2
The domain of the function does not include the values x= -3 and x= 3.
Answer:look at image
Step-by-step explanation:
The domain of the function does not include the values x = -3 and x = 3 is the only correct option.
What is a function ?"Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences."
This relationship is commonly symbolized as y = f(x)—which is said “f of x”—and y and x are related such that for every x, there is a unique value of y. That is, f(x) can not have more than one value for the same x. To use the language of set theory, a function relates an element x to an element f(x) in another set. The set of values of x is called the domain of the function, and the set of values of f(x) generated by the values in the domain is called the range of the function."
In the graph plotted,
The graph has no y intercept.
Vertical asymptotes is x = 0
No horizontal asymptotes
Slant asymptotes is y = 2x + 3
Hence, F is the True and A, B, C, D, E are false.
To know more about function here
https://brainly.com/question/12431044
#SPJ3
how much more time in hours did Allen spend Listening to music than playing tenis
f.2.88 hours
g.0.48 hours
h.2.40 hours
j.0.12 hours
Answer:
She spent 48 more min listening to music
Your answer is g 0.48 hours
Step-by-step explanation:
I hope this helps
Please solve all or even most of these (simplify using order of operation)!
Answer:
Step-by-step explanation:
1=27
2=26
3=-14
4=10
5=10
6=24
7=15
8=17
Sorry I don't have time to answer any more. Hope this helps!
5. The two figures are congruent.
a. Label the points A, B and C that correspond to A, B, and C in the figure on
the right.
C
B
b. If segment AB measures 2 cm, how long is segment A' B'? Explain.
c. The point D is shown in addition to A and C. How can you find the point D' that
corresponds to D? Explain your reasoning.
Answer:
check image for answers
Step-by-step explanation:
Hope this is not to late. Have a good day!
the principal of a high school wants to gather opinions from the parents of students at his school. he starts with the 2nd name in the parents teacher association (pta) phone handbook and then selects every 5th name in the directory. the 2nd, 7th, 12th, … names in the directory are chosen for his sample. this is an example of a/an sample.
This example is an part of systematic sampling.
What are the advantages and disadvantages of systematic sampling ?Simple to Use and Understand.A sense of process and control.Clustered Selection is no longer used.Low risk componentassumes it is possible to estimate the population size.Natural Degree of Randomness is required.Data Manipulation Risk is Greater.
Disadvantage
A population must be closely approximated for this procedure to work.Some populations are able to recognize the sample pattern.A little likelihood of selection is produced.There is a significant risk of data manipulation.In comparison to random sample, systematic sampling is less random.To learn more about systematic sampling, visit
brainly.com/question/13600657
#SPJ4
The graph of y = f(x) is the solid black graph below. Which function represents the dotted graph?
Answer:
y = -f(x - 5)
Step-by-step explanation:
the function of the dotted graph is f(x) shifted (or translated) 5 units to the right and then reflected across the x-axis.
shifting it to the right is happening by reducing every x value by 5 (so that we get for x the functional value of x-5).
and reflecting it across the x-axis simply means to flip the sign. everything that was originally above the x-axis is now with the same distance below the x-axis (and vice versa).
therefore, the new
y = -f(x - 5)
The stingray population in a particular reef is decreasing at a rate of 1.4% per year. The population was 3800 in the year 2008. What is the best prediction of the population in the year 2013? Round to the nearest whole number. (no need to label your answer :
Answer:
Population in 2013 = 3541
Step-by-step explanation:
whats 4 time 100 yeah im not
100+100+100+100=400
The answer is 400.
Answer:
400
100+100+100+100
Step-by-step explanation:
can someone help me?
12 1/2 - (-4 1/2) =
Answer:
Find the answer is below.
Step-by-step explanation:
The answer is 33.
Hope this helps and if you could mark me as brainliest. Thanks!
Which best describes the effect on the x-intercept of the graph of y=34x−3 if the slope is changed to −34
The x-intercept remains the same and the new line is translated upwards
The x-intercept becomes negative and the new line is parallel to the original line
The x-intercept remains the same and the new line is translated downward
The x-intercept becomes negative and the new line intersects the original line
Answer:
The last option: The x-intercept becomes negative and the new line intersects the original line.
Step-by-step explanation:
Remember that when finding the x-intercept you set y to 0.
Let's compare the two equations when we solve for x:
0=34x-3 0=-34x-3
1. Add 3 to both sides of the equations
3=34x 3=-34x
2. Divide the coefficients
[tex]\frac{3}{34}[/tex]=x [tex]\frac{3}{-34}[/tex]=x
We know that the new slope does not remain the same as stated in the first and third options. In order for two lines to be parallel, the slopes must be exactly the same, so the second option is incorrect. Therefore, the last option is correct.
Answer:
Step-by-step explanation:
⊕ The x-intercept becomes negative and the new line intersects the original line { at (0, - 3) }
please help me write in exponential notation ASAP
Answer:
The answer is 3⁴ or 81 :)
If you take a number multiply by 7 then takeaway 1,You get the same as if you took the number multiply by 5 then takeaway 8. What is the number?
Answer:
x = -3.5
Step-by-step explanation:
First we create the equation.
Let x = the unknown number
7x-1 = 5x - 8
Add 8 to both sides
7x + 7 = 5x
Subtract 7x
7 = -2x
Divide by 2
-7/2 = x
-3.5 = x
find the unknown marked angles
What is the area of a triangle whose base is 10 in and height is 5 in
If a cylindrical grain silo has height of 35 feet and a volume of 2747.50 ft?, what would the length of its radius be?
Answer:
784.39
Step-by-step explanation:
Cant really explain how I did it because I tend to confuse ppl.
Please help! I’ll mark brainlist and 5 stars!
(You have to see which one is right for the sentence provided, and which ones are false out of A-D)
A. The equation of the line is y = 1/2x
B. Sasha can make 60 gift bags in 2 hours.
C. The constant of proportionality is l = 1/2
D. Sasha can make 2 bags per minute.
Answer:
D
Step-by-step explanation:
The reason D is false is because it states that Sasha can make 2 bags per minute while she cant make 2 bags per minute. She can make half a bag per minute. D is wrong 100%
Answer:
Step-by-step explanation:
Distance covered = speed × time.
Sasha runs at a constant speed of 3.8 meters per second for 1/2 hour.
This means distance covered while running would be
3.8 × 1/2 = 1.9 meters
Then she walks at a constant rate of 1.5 meters per second for 1/2 hour. This means distance covered while walking would be
1.5 × 1/2 = 0.75 meters
Total distance that Sasha covered while running and walking in 60 minutes would be
1.9 + 0.75 = 2.65 meters
Step-by-step explanation:
C
15 mm
8 mm
Pythagorean theorem
how do i give brainliest? also please solve the problem :)
Answer:
When there are 2 answers there will be a crown you can click and that will give brainlest
Step-by-step explanation:
=
a + b + c
2
=
8 + 10 + 5
2
= 11.5 inches
Area = √s(s-a)(s-b)(s-c)
= √11.5×(11.5 - 8)×(11.5 - 10)×(11.5 - 5)
= 19.810035335658 inches
Answer:
the answer is 19.81 inches