Answer:
1752
Step-by-step explanation:
Determine the approximate measure of angle Y.
Answer:
45
Step-by-step explanation:
Select the correct solution for 8x = 56.
O A. X= 1/7
O B. X = 48
O c. x = 64
O D. x = 7
You've decided to buy a printer and have narrowed it down to two choices. The laser printer costs
$150 but the average cost of each page is just 1.5 cents. The other option is an inkjet printer, which
costs $30, but each page has an average cost of 6 cents. Determine the conditions (e.g. the number
of pages) where each printer is the better buy.
Answer:
The conditions are;
Where the number of paper printed = x (x ∈ Z)
For 0 ≤ x ≤ 2,666, It costs less to own and therefore it is better to buy the ink jet printer
For 2,666 < x ≤ ∞, it costs less to own and therefore it is better to buy the lase jet printer
Step-by-step explanation:
The given parameters are'
The cost of the laser printer = $150
The average cost of each page printed with the laser printer = 1.5 cents
The cost of the inkjet printer = $30
The average cost of each page printed with the inkjet printer = 6 cents
Let 'y', represent the total cost of ownership each printer and let 'x', represent the number of paper printed, we have;
For the laser printer, we have;
[tex]y_{laser \ jet}[/tex] = 150 + 0.015·x
For the ink jet printer, we have;
[tex]y_{ink\ jet}[/tex] = 30 + 0.06·x
Therefore, the initial cost of ownership of the ink jet printer is lesser than the initial cost of ownership of the laser jet printer
However, where the cost, 'y', of the laser jet printer and the ink jet printer are equal, we have;
[tex]y_{laser \ jet}[/tex] = [tex]y_{ink\ jet}[/tex]
∴ 150 + 0.015·x = 30 + 0.06·x
120 = 0.06·x - 0.015·x = 0.045·x
x = 120/0.045 = 2,666.[tex]\overline 6[/tex]
Therefore, given that the cost of ownership and the number of sheets printed is a straight line relationship, after printing 2,666.[tex]\overline 6[/tex] sheets or when 2,667 sheets are printed, the cost of ownership of the laser jet printer will become lesser than the cost of ownership of the ink jet printer
Therefore, the conditions where each printer is better to buy are;
For printing the number of papers in the range 0 ≤ x ≤ 2,666, the ink jet printer is better to buy
When the number of paper printed, 'x', is in the range, 2,666 < x ≤ ∞, the laser jet printer is better to buy.
We want to see when is better to buy which printer.
Printer 1 is better for 2667 pages or more.
Printer 2 is better for less than 2667 pages.
Printer 1 costs $150 pls 1.5 cents per page, so the cost for x pages is:
C₁(x) = $150 + $0.015*x
Printer 2 costs only $30, but each page costs 6 cents, so we have the cost:
C₂(x) = $30 + $0.06*x
First, we need to find the value of x such that the two costs are equal:
C₁(x) = C₂(x)
$150 + $0.015*x = $30 + $0.06*x
$150 - $30 = $0.06*x - $0.015*x
$120 = $0.045*x
$120/$0.045 = x = 2,666.67
Rounding to the next whole number we have x = 2,667
Then, if you plan to use less than x = 2,667, you should buy the second printer because it has a smaller y-intercept.
If you plan to use 2,667 or more, you should buy the first printer, because it has a smaller slope.
If you want to learn more, you can read
https://brainly.com/question/21107621
Im new too this math and i could use a little help !:)
Answer:
25 degrees
Step-by-step explanation:
A right triangle is considered 90 degrees, so subtract 90 degrees by 65 degrees.
90 - 65 = 25
Hence, angle A equals 25 degrees.
A health club has a monthly membership fee of $20 and charges an additional fee of $1.50 for every exercise class attended. Write an equation that represents the total cost, y, for a month in which a member attends x exercise classes
Answer:
y=1.50x+20
20 is the fixed price for each month, so that stays the same. It's the independent variable.
y=1.5x+20 is the equation that represents the total cost, y, for a month in which a member attends x exercise classes
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
A health club has a monthly membership fee of $20 and charges an additional fee of $1.50 for every exercise class attended.
We need to write an equation to represent this.
Total cost per person will be y.
Total cost is sum of membership fee and x be the the number of exercise classes.
y=1.5x+20
y equal to one point five times of x plus twenty.
Hence y=1.5x+20 is the equation that represents the total cost, y, for a month in which a member attends x exercise classes
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Nancy and bill collect coins. Nancy has x coins. Bill has 9 coins fewer than 5 times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and Bill have.
Answer:
nicee cat
Step-by-step explanation:
please answer my question I will mark brainliest
Answer:
Wouldn't it be A because the spinner has a 1/8th of a chance to land on a number
Step-by-step explanation:
A graph of f(x) = 10x2 – 11x – 6 is shown on the coordinate grid. What are the zeros of f(x)?
Answer:
-2/5 and 3/2
this is the answer for your question i probably send it to late for your answer but i hope it helps
Select all functions from the tables given below that show Y as a function of X.
A.
B.
C.
D.
E.
Answer: I dunnowhy are you asking me
Step-by-step explanation: the line of the perpendicular angle is non existent
whats the quotient of -72 divided by -9?
Answer:
8
Step-by-step explanation:
9 |08|
72
- 0
72
-
72
00
Find the slope (-5,-6), (3,-3) , (−5,−6), (3,−3)
Answer:
the slope or gradient is 8/2=4
the sum of three consecutive integers is three times the second integer. show that this is true for the three consecutive integers 7,8 and 9
Step-by-step explanation:
7+8+9=24
second integer is 8 so 8*3=24
Which line has a slope of 0.625, and which line has a slope of 1.6?
Explain why the slopes of these lines are 0.625 and 1.6.
Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b; where y and x are variables, b is the y intercept (i.e. value of y when x is zero), m is the slope of the line.
The slope of a line passing through the points [tex](x_1,y_1)\ and\ (x_2,y_2)\ is:[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let the point where the two lines intersect be the origin (0, 0).
Line 1 passes through (0, 0) and (8, 5). Hence:
slope of line 1 = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{5-0}{8-0} =0.625[/tex]
Line 2 passes through (0, 0) and (5, 8). Hence:
slope of line 2 = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{8-0}{5-0} =1.6[/tex]
help............please
Answer:
k=5
Step-by-step explanation:
subtract 14 from both sides
Answer:
19=4+k is easy that means 10-x=100+11 so the answer is 70
Step-by-step explanation:
what is the answe to this?
Answer:
8
Step-by-step explanation:
one half of the triangle adds up to 12. You need to make the other side equal.
9+3=4+x
x must be 8, because then it equals 12.
9+3=4+8
Answer:
answe
Step-by-step explanation:
hew answe
work out the surface area of this triangular prism
can sum1 do number 3 for me plz i will mark brainliest
Answer:
Addition-
(9x+27)
Subraction-
(x-63)
Multiplication-
(20x-810)
Division-
(1.25x-0.4)
Step-by-step explanation:
Help and what is function
can anyone help please :)
Answer:
148°
Step-by-step explanation:
the angles are equal
Check ALL of the ratios that are equivalent to 5:8 (Select al that apply) 10:16 8:5 2.5:4 40:25 15 to 24
Answer:
10 ,16 AND 8
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
help me with this chart please
Answer:
-2(0.5)^whatever number x is
Step-by-step explanation:
X Y
-2 8
-1 4
0 2
1 -1
2 -0.5
3 -0.25
4 -0.125
The system of equations id graphed on the coordinate plane.
y=4x +3
y=-X-2
Enter the coordinates of the solution to the system of equations
in the box
Answer:
;~; ...................IMA FAILL ;;;;;;;;;;----;;;;;;;;;;;;
If 3^2+4^2+12^=13^2
Then what is x+(x+1)+___=____
Answer:
Those are two different questions that aren't related isn't it?
Step-by-step explanation:
I KNOW
janelle came to the bat 262 times in 91 games. at this rate, how many times should she expect to have at bat in full season of 162 games?
Answer:
465 times
Step-by-step explanation:
[tex]r=\frac{262}{91} = 2.87[/tex]
In full season of 162 games
[tex]162r=162(2.87)[/tex] = 465
Please help giving brainiest
Answer:
(0, -1); maximum
Mr. gracia is at Dunkin' Donuts .he has $17.50 in his pocket ,and he buys a sandwich for $2.50 and 5 coffees using cash . Write an inequality to determine the possible cost of each coffee
Answer:
The coffee is $3 or less
Step-by-step explanation:
Set up an inequality where c is the cost of one coffee:
17.50 [tex]\geq[/tex] 5c + 2.50
Solve for c:
17.50 [tex]\geq[/tex] 5c + 2.50
15 [tex]\geq[/tex] 5c
3 [tex]\geq[/tex] c
So, the coffee is $3 or less
Is 361 rounded to 400?
Answer
I do not think so.
Step-by-step explanation:
Answer:yes
Step-by-step explanation:
Is the following equation linear?
yes or no
Answer:
Yes the equation is Linear
Step-by-step explanation:
Yes it is a linear equation
Combining Like Terms
-4x - 2 + 5x = -4
I know the answer is -2 but I don’t know how to get -2
What is the value of 100?
Answer:
10
Step-by-step explanation:
Means back the numbers into multiples of several small numbers
Like:; 1. We take LCM of 40
Just break into multiples of small number
40= 2×2×2×5
2. We take LCM of 50
50= 5×5×2
So LCM for 100 is 2×2×5×5
after that see the pairs in the LCM like 2×2 or 3×3 or 4×4(same numbers)
Then write the the single number in place of two multipled numbers
Like:; 2×2 is written as 2 // 3×3 is written as 3
So we can write 100 into 2×2×5×5 and then after selecting pairs (2×2)×(5×5)
write pairs in single number 2×5
And so we get 2×5=10
So we find root of 100 that is 10