Answers
Answer:
Question 1
Cost per 10,000 Popsicle sticks = $725.20
⇒ Single Popsicle stick = 725.20 ÷ 10000 = $0.07 (nearest cent)
Question 2
Cost per 1,000 motherboards = $8,730
⇒ Cost of Single motherboard = 8730 ÷ 1000 = $8.73
Cost per 10 motherboards = $100
⇒ Cost of Single motherboard = 100 ÷ 10 = $10
Difference = 10 - 8.73 = $1.27
Question 3
Create a table with the cost per 1 unit:
[tex]\begin{array}{| c | c | c | c |}\cline{1-4} \sf PART & \sf COST\:PER\:1\:of\:10 & \sf COST\:PER\:1\:of\:1000 & \sf COST\:PER\:1\:of\:10000\\\cline{1-4} \sf Motherboard & \$10.00 & \$8.73 & \$7.04 \\\cline{1-4} \sf Processor & \$5.00 & \$1.25 & \$0.63 \\\cline{1-4} \sf Popsicle & \$0.10 & \$0.09 & \$0.07 \\\cline{1-4} \sf Motor & \$4.50 & \$0.18 & \$0.04 \\\cline{1-4} \sf Sensor & \$6.30 & \$4.54 & \$3.18 \\\cline{1-4} \sf Small\:gear & \$1.00 & \$0.80 & \$0.70 \\\cline{1-4} \end{array}[/tex]
From inspection of the table, the Motor saves the most money per unit when 10,000 is bought, since the difference between the cost of 1 unit is the greatest for this part.
Question 4
Cost of 1100 motherboards
= cost of 1000 + cost of 10 x 10
= 8730 + 100 x 10
= 8730 + 1000
= $9,730
Question 5
Cost of 12050 sensors
= cost of 10000 + cost of 1000 x 2 + cost of 10 x 5
= 31752 + 4536 x 2 + 63 x 5
= 31752 + 9072 + 315
= $41,139
Related Questions
May runs 10/4 miles everyday .Beth runs 5/2 miles everyda.who runs further?
Answers
Explanation:
The fraction 5/2 turns into 10/4 when you multiply top and bottom by 2
5*2 = 10
2*2 = 4
Or you could use long division or a calculator to notice that
5/2 = 2.5
10/4 = 2.5
Both result in the same exact decimal value, so the fractions must be equal. Each person runs exactly 2.5 miles everyday.
SOMEONE PLEASE HELP ME!!!
What are the x-intercepts of the graph of the function y=6tan(x/2)-3?
Answers
Step-by-step explanation:
[tex]y = 6 \tan( \frac{x}{2} ) - 3[/tex]
Set y=0
[tex]0 = 6 \tan( \frac{x}{2} ) - 3[/tex]
[tex]3 = 6 \tan( \frac{x}{2} ) [/tex]
[tex] \frac{1}{2} = \tan( \frac{x}{2} ) [/tex]
[tex] \tan {}^{ - 1} ( \frac{1}{2} ) + \pi = \frac{x}{2} [/tex]
Multiply both sides by 2
[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi = x[/tex]
So the x intercepts of the function is
[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi[/tex]n
PLease help! Thanks!
Answers
You wish to buy a new set of strings for your guitar. You phone five different
music shops and obtain a quote for a set of strings from each of them. The
average price charged by the five music shops is R225,00. If the first two music
shops both charge R180,00 for the strings, while the third and fourth shops
respectively charge R280,00 and R270,00, how much did the fifth music shop
charge for the strings?
Answers
Answer:
215,00.
Step-by-step explanation:
Average price = 22500
18000*2 + 28000 + 27000 + x = 22500*5
91000 + x = 112500
X = 21500
Answer:
R215,00
Step-by-step explanation:
Let x = amount the 5th music shop charges for the strings
[tex]\sf mean=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}[/tex]
[tex]\implies \sf 225=\dfrac{180+180+280+270+x}{5}[/tex]
[tex]\implies \sf 225\cdot 5=910+x[/tex]
[tex]\implies \sf 1125=910+x[/tex]
[tex]\implies \sf x=1125-910[/tex]
[tex]\implies \sf x=215[/tex]
Therefore, the fifth music shop charged R215,00 for the strings.
Use the stem and leaf plot graph to answer the question.
Answers
====================================================
Explanation:
Count the number of leaves marked in green.
Row One: 2 leaves (1 and 8)Row Two: 3 leaves (3, 6, and 9)Row Three: 5 leaves (2, 3, 4, 6, 7)Row Four: 3 leaves (1, 6, and 8)There are 2+3+5+3 = 13 leaves total. This represents tickets were sold on 13 days.
Each stem and leaf combines to form a different ticket count. For instance, the stem of 1 and leaf of 8 combine to get the value 18. So 18 tickets were sold on that particular day.
3x+5y= -9
Y= 2x-7
Use substitution to solve the system
Answers
Answer:
x = 2
Step-by-step explanation:
3x + 5y = -9 ___(1)
y = 2x - 7
Substituting y's value in (1) ..
3x + 5( 2x - 7) = -9
3x + 10x -35 = -9
13x = -9 + 35
13x = 26
x = 26/13
x = 2
Pls help me and show work! Thank you <3
Answers
Answer: 23
Step-by-step explanation:
By the alternate exterior angles theorem, [tex]4x-11=x+58 \longrightarrow x=\boxed{23}[/tex]
Write down the exact value of tan 60
Answers
Answer:
[tex] \sqrt{3} [/tex]
Goodluck
Answer:
[tex]\sqrt 3[/tex]
Step-by-step explanation:
[tex]\tan 60^{\circ} = \dfrac{\sin 60^{\circ}}{\cos 60^{\circ}} = \dfrac{\tfrac{\sqrt 3}2}{\tfrac 12} = \dfrac{\sqrt 3}2 \cdot 2 = \sqrt 3[/tex]
what is the product ?
Answers
Explanation:
(5x+1) (5x-1)
(5x)^2 - 1^2
25x^2 - 1^2
Answer:
b) 25x² - 1
Step-by-step explanation:
→ (5x + 1)(5x - 1)
→ 25x² + 5x - 5x - 1
→ 25x² - 1
Thus, option (b) is the answer.
What value of x makes this equation true? -80= -120 + X
Answers
Answer:
x = 40
Step-by-step explanation:
Preform the opposite opposite operation to get x by itself.
-80 = -120 + x
+ 120 +120
40 = x
Answer:
answer
Step-by-step explanation:
Answer is, 40
A bottle of laundry detergent is 7/10
full. Jamie uses
3/10
of the bottle to
do her laundry. What fraction of the
bottle of laundry detergent is left?
Explain.
Answers
Answer:4/10 =2/5
Step-by-step explanation:
you subtract the numerator but the denominator stays the same. I then found a number that could be divided into both numbers and got 2/5.
Tell whether the system has one solution, infinitely many solutions, or no solution.
Answers
Answer:
Has infinite solutions
Explanation:
-x + 5y = -3..... eq1
2x - 10y = 6 .... eq2
===============
make x the subject in equation 1
-x + 5y = -3
-x = -3 - 5y
x = 5y + 3
========= insert this in equation 2
2(5y + 3) - 10y = 6
10y + 6 -10y = 6
6 = 6
So, Has infinite solutions as L.H.S = R.H.S
Please select the correct answer!
Answers
Answer:
the value of x must be -2 . ie option b
Answer:
x-1=-x²+2x+5
-x²+(2x-x)+(5+1)=0
-x²+x+6=0
(x-3)(x+2)
x=3 or x=-2
What is the answer to this question
Answers
Answer:
11x^2+4x-6
Step-by-step explanation:
Can't tell if its asking for the values of x, but thats the final expression^
Answer:
11[tex]x^{2}[/tex]+4x-6
Step-by-step explanation:
liam has 12 red ballons and 14 blue ballons he puts all of his ballons into 2 equal groups how many ballons are in each group
Answers
Answer: 6 red and 7 blue
Step-by-step explanation:
Cut in half the amount of each balloon
Then he divided 26 into 2 equal groups so divide 26 by 2 which is 13
13 is your answer :)
please help will give brainliest
Answers
Do the ratios 21:45 and 7:15 form a proportion?
Answers
Answer:
yes, it form a proportion...
Many counties in Florida missed many school days in the fall of 2004 due to hurricanes that year. To make up those days, they added time to each school day for a portion of the year. It was decided that in order to make up a 6 hour school day, 10 minutes would be added to each day. How many extended days would be needed to make up 3 school days?
Answers
Answer:
if 10 minutes was added each day 30 minutes is how long it would extend in 3 days
Find the equation of the rational function ƒ whose graph satisfies the conditions: Horizontal asymptote is y = 3, vertical asymptote is x = –5, removable discontinuity at x = 2, x-intercept is 1.
Answers
A function assigns the values. The function is f(x) = (8x - 8)/(x² + 2x).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A rational function has a denominator and a numerator.
Vertical asymptotes are x-values that the function approaches but never touches. By setting the denominator to zero, we may discover the vertical asymptotes.
Since the vertical asymptote is x=-2 and x=0, our denominator of the function will be
x(x+2) = x²+2x
Horizontal asymptotes are y values that the function approaches but never touches. Because the horizontal asymptote is y=0, the numerator's degree must be less than the denominator's degree. And because the x-intercept is equal to one, our numerator will be
x - 1
At the moment, The function can be assumed to be,
f(x) = (x - 1)/(x²+2x)
Next, we need to use the condition f(2)=1. If we plug in x=2, f(x) should equal 1. But we need to multiply the right side of the function by some constant C.
The condition f(2)=1 must then be applied. If we substitute x=2, f(x) should equal 1. However, we must multiply the right side of the function by a constant C.
1 = C(2 - 1)/(2²+2(2))
Solve for C.
1 = C / 8
8 = C
So the function will be
f(x) = [8(x - 1)] / [(x² + 2x)]
f(x) = (8x - 8) / (x² + 2x)
Hence, the function is f(x) = (8x - 8)/(x² + 2x).
Learn more about Function:
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Pls help me, this is due by tonight. What is the volume
Hopefully easy for some of you. :)
Answers
Answer:
115.86
Step-by-step explanation:
if you have 10 goldfish and 3 die how many are left
Answers
Answer:
7 goldfish
Step-by-step explanation:
10-3=7
Answer:
10-3=8
i think
PLEASE HELP ILL MARK AS BRAINLEST
Which statement describes the speed of the remote-control car over time? O The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 2 seconds, and then remains at 5 mili for the last 5 seconds. O The speed of the car increases from 4 mi h to 2 mih in the first 3 seconds, decreases to 5 mi/h in the next 2 seconds, and then remains at 5 mi/h for the last 5 seconds. O The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 6 mi/h in the next second, and then remains at 6 mi/h for the last 6 seconds. O The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mih in the next 5 seconds, and then remains at 5 mi/h for the last 10 seconds,
Answers
Answer:
Step-by-step explanation:
The explanation of the problem is shown in the attached figure.
AS shown in the graph:
At t = 0 the speed = 4 miles/h then decrease to the speed = 2 miles/h during the first 3 seconds then increased to 5 miles/h during the next 2 seconds, then it became constant at 5 miles/h for the last 5 seconds.
So, the correct option is:
A. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 2 seconds, and then remains at 5 mi/h for the last 5 seconds.
Select the correct answer.
Factor completely
5x² - 45
OA (5x + 9)(x - 5)
O.B. 5(x - 45)
OC. 5(x-9)(x+ 9)
OD. 5(x+3)(x - 3)
Reset
Next
Answers
Answer:
D. 5(x + 3)(x - 3)
Step-by-step explanation:
Both terms are perfect squares, therefore we will factor using the difference of squares formula;a² - b² = (a + b) (a - b)
5(x + 3)(x - 3)
5(x² - 9)
(5x² - 45)
5x² - 45
Option D is correct, the factored form of the expression 5x² - 45 is 5(x+3)(x - 3)
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 5x² - 45
Five times of x square minus forty five
x is the variable and minus is the operator
Let us take 5 common from the expression to find the factor form
5(x² - 9)
5(x² - 3²)
Now we know that a² - b² = (a+b)(a-b)
5(x+3)(x-3)
Hence, the factored form of the expression 5x² - 45 is 5(x+3)(x - 3)
To learn more on Expressions click:
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Part A
Which expression can be used for the missing side length of the rectangle?
Part B
Find the length of the missing side when x = 3. Round answer to the nearest tenth.
Length = in.
Answers
Answer:
d
Step-by-step explanation:
(8x)^2 = (2x)^2 + y^2
64x^2 - 4x^2 = y^2
60x^2 = y^2
y = 2x√15
What is the solution to the equation 7/8 (X -1/2) =49/80
Answers
Answer:
the answer of given question is 1/5
(x - 3)2 – 4 = x2 - 6x +
Answers
Answer:
123-456-789
Step-by-step explanation:
es la suprimeral
The function h is defined as follows.
Screenshot shows the question.
Answers
[tex]\sf Simplified[/tex] ⇒ -2h
_______________________
[tex]\sf Given~h(-2)[/tex][tex]\sf Simply~move~2~to~the~left.[/tex]_______________________
11.75 in fraction form
Answers
Answer:
47/4 but you can simplify it to 11 3/4
Step-by-step explanation:
11 is the whole number and 75 is 3/4ths of 1 or another whole number.
How much dollars is 92¢?
Answers
Its 0.92
Sure hope this helsp you :D
For what values of a can you solve the linear system az + 3y = 2 and 4x + 5y = 6 by elimination without
multiplying first?
The values
and
Answers
Answer:
4, -4
Step-by-step explanation:
I think the first equation is ax + 3y = 2, not az + 3y = 2.
ax + 3y = 2
4x + 5y = 6
To use elimination, you need the coefficients of a to either add to zero, or to have a difference of zero if you subtract them.
a + 4 = 0
a = -4
a - 4 = 0
a = 4
Answer: a must be 4 or -4.
Answer:
-4 and 4
Step-by-step explanation:
Given linear system:
[tex]ax+3y=2[/tex]
[tex]4x+5y=6[/tex]
In order to solve the given linear system by elimination without multiplying first, [tex]a[/tex] must be either -4 or 4. That way, when you add or subtract the equations, the variable [tex]x[/tex] will be eliminated.
when [tex]a = -4[/tex]:
[tex]\large\begin{array}{ l r c c l r}& -4x & + & 3y & = & 2\\+ & 4x & + & 5y & = & 6\\\cline{1-6}& & & 8y & = & 8\\\cline{1-6}\end{array}[/tex]
when [tex]a = 4[/tex]:
[tex]\large\begin{array}{ l r c c l r}& 4x & + & 3y & = & 2\\- & 4x & + & 5y & = & 6\\\cline{1-6}& & & -2y & = & -4\\\cline{1-6}\end{array}[/tex]
