An analysis of past maintenance costs indicates that maintenance cost is an average of $0.20 per machine-hour at an activity level of 10,000 machine-hours and $0.25 per machine-hour at an activity level of 8,000 machine-hours. If this activity is within the relevant range, what is the total expected maintenance cost if the activity level is 8,700 machine-hours?
Answer: $2000
Step-by-step explanation:
Variable cost = Change in cost ÷ Activity change
($2000 - $2000) ÷ (10000 - 8000) = $0
Fixed cost element = Final cost - Variable cost
$2000 - ($0.00 ×10000) = $2000
Therefore, the cost formula for total maintenance is $2000 plus $0 per hour
y = $2,000 + $0x
At a level of 8,700 machine-hours, the total cost is:
y = $2000 + ($0.00 ×8700) = $2000
determine which point is the solution to the given system y=7x-26, y=4x-11
substitution
y = 7x-26 (1)
y = 4x-11 (2)
1⇒2
7x-26=4x-11
3x=15
x=5
y = 7(5)-26
y = 9
point (5,9)
Help please??????????
Answer:
B
Step-by-step explanation:
The graph hits the x axis at 5, -2, and -3/
Please show me how to do this step by step, I’m confused…
Find area of a circle of radius 30 cm use
Answer: A≈2827.43cm²
Step-by-step explanation:
A= πr² =π·30²≈2827.43339cm²
Elaine had StartFraction 5 Over 8 EndFraction of a pizza left after lunch. She told 5 of her friends that they could share the rest. What fraction of the pizza did each of her friends get if they split it evenly?
A pizza with 8 slices. 5 slices are shaded.
StartFraction 1 Over 8 EndFraction
StartFraction 1 Over 5 EndFraction
StartFraction 3 Over 8 EndFraction
StartFraction 3 Over 5 EndFraction
Mark this and return
What is 31 - (15 + 25) = ? thanks if you help!
Answer:-9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
It is -9 because, using order of operations, you need to do the parentheses first. 25 + 15 is 40. Then, you do subtraction. 31-40=-9.
Hope this helps :)
someone help me please i don’t know how to do square units
Answer: 78.
Explaination:
To calculate the area of a triangle, multiply the height by the width aka the "base" then divide by 2.
In this case, the height is 13 and the width is 12.
[tex]S = \frac{height.width}{2} = \frac{13.12}{2} = 78[/tex].
find the area of the quadrilateral.
Step-by-step explanation:
the area of a triangle is baseline × height / 2.
we have 2 major triangles that define this quadrilateral :
A-D-B and C-D-B.
both triangles have the same baseline : M_D + M_B = 14 cm
what we need to do is get the 2 heights M_C and N_A.
N_A we know already : 8 cm
so,
area A-D-B = 14×8/2 = 14×4 = 56 cm²
M_C we get via Pythagoras of the right-angled triangle D-M-C :
D_C² = M_C² + M_D²
10² = M_C² + 6²
100 = M_C² + 36
64 = M_C²
M_C = 8 cm
so,
area C-D-B = 14×8/2 = 56 cm²
so, the total area of the quadrilateral is
56 + 56 = 112 cm²
Identify the Input values: (0,2), (1,3), (5,9), (7,13) *
The sum of a number and 12 3/4 is 16 4/9. Find the number.
Answer:
3 25/36
Step-by-step explanation:
16 4/9 - 12 3/4 = 3 25/36
Answer:
[tex]x + 12 \frac{3}{4} = 16 \frac{4}{9} \\ \\ x + \frac{51}{4} = \frac{148}{9} \\ \\ x = \frac{148}{9} - \frac{51}{4} \\ \\ x = \frac{592}{36} - \frac{459}{36} \\ \\ x = \frac{133}{36} \\ \\ \\ x = 3 \frac{25}{36} [/tex]
So; the number
[tex]3 \frac{25}{36} [/tex]
Dante drove 405 miles using 20 gallons of gas.At this rate,how many gallons of gas would he need to drive 243 miles
[tex]\begin{array}{ccll} miles&gallons\\ \cline{1-2} 405&20\\ 243&g \end{array}\implies \cfrac{405}{243}=\cfrac{20}{g}\implies \cfrac{5}{3}=\cfrac{20}{g}\implies 5g=60 \\\\\\ g = \cfrac{60}{5}\implies g = 12[/tex]
Answer:
12
Step-by-step explanation:
405:20
81:4
243:12
how do you calculate imaginary numbers?
Round 14.5621 to the nearest hundredth. Do not write extra zeros
Answer:
14.56
Step-by-step explanation:
Answer:
Your answer would be 14.56.
Step-by-step explanation:
Find the value of 4/3 ÷ 5/2
4/3 ÷ 5/2
4/3 × 2/5 (by reciprocal)
8/15
Therefore, 8/15 is the correct answer
omg help plz i hate ixl
Answer:
8x + 2
Step-by-step explanation:
It's really quite simple!
Take not of the equation, 5x + 2 + 3x
As 5x and 3x have the same term, you can add them up together, giving you 8x.
Add the 2 on, and you have your answer!
Answer:
8x+2
Step-by-step explanation:
5x + 3x = 8x and 1+1=2
so the answer is 8x+2
I need Help ASAP I will give you brainlest and plus 5 stars ✨✨and plus thanks and 50 points EVeryONe need help this is due today so plz help me I need to turn it in today so plz help I will give everything if you do
Answer:
IT IS THE LAST ONE
I did this a long time ago
A tin contained 10 3/5 liter of oil . 1 2/7 liter of oil was leaked and 7 1/10 liter used up .Find how much oil is left in the tin.
The liter of oil tin contained
[tex] = 10 \ \frac{3}{5} [/tex]The liter of oil used and leak
[tex] = 1 \frac{2}{7} + 7 \ \frac{1}{10} [/tex][tex] = \frac{9}{7} + \frac{71}{10}[/tex][tex] = \frac{9 \times 10}{7 \times 10} + \frac{71 \times 7}{10 \times 7} [/tex][tex] = \frac{90}{70} + \frac{497}{70} [/tex][tex] = \frac{587}{70} [/tex]The liter of oil left in the tin
[tex] = \frac{53}{5} - \frac{587}{70} [/tex][tex] = \frac{53 \times 14}{5 \times 14} - \frac{587 \times 1}{70 \times 1} [/tex][tex] = \frac{742 - 587}{70} [/tex][tex] = \frac{155 \div 5}{70 \div 5} [/tex][tex] = \frac{31}{14} [/tex][tex] = 2 \frac{3}{14} [/tex]~nightmare 5474~
Answer:
2.2 l of oil was left.
Step-by-step explanation:
[tex]Total=10\frac{3}{5} =10.6l\\Used=7\frac{1}{10} =7.1l\\Leaked=1\frac{2}{7} =1.28l\\[/tex]
Total used=7.1l+1.28l=8.38l
[tex]Left=10.6l-8.38l=2.22l[/tex]
The length of a rectangle is 5 cm longer than its width.
If the perimeter of the rectangle is 34 cm , find its area.
Answer:
A=66
Step-by-step explanation:
P=2(L+W) A= 11x6=66
34=2(x+5+x)
34=2(2x+5)
34/2 = 17
17=(2x+5)
17-5=12
12 divided by 2=6
so witch = 6 so 6+5=11 L= 11
Adam Sandler has 3 pairs of sneakers. They are black, blue and white. If he randomly chooses a pair, what is the probability he will NOT choose the blue pair?
Answer:
[tex]66\frac{2}{3}%[/tex]
Step-by-step explanation:
He has 3 pairs of sneakers:
1 Black
1 Blue
1 White
2 out of 3 are not blue.
This can be written as 2/3
Percentage is a certain number over the denominator of a base ten numeral.
2/3 = [tex]66\frac{2}{3}[/tex]%
Hope this helps :)
Have a great day!
the hypotenuse of 68 and 51
Answer:
Hypotenuse is 85
Step-by-step explanation:
Use the Pythagorean theorem to solve:
a^2+b^2=c^2
Answer:
85
Step-by-step explanation:
Pythagorean Theorem
a^2 + b^2 = c^2
Therefore
68^2 = 4624
51^2 = 2601
4624+2601 = 7225
square root of 7225 = 85
Nick and Darius are playing a number line game in math class. Nick says, "If you multiply my number by itself, you get 64."
What are all the possibilities for Nick's number?
Answer:
8
Step-by-step explanation:
8multiple by 8 is 64. to find an answer we will do the 8×8=64
What must be done to the expression x +14.1 to make it equal x?
Answer:
add the opposite of the constant
Step-by-step explanation:
The opposite of the constant must be added to the expression:
(x +14.1) +(-14.1) = x +(14.1 -14.1) = x +0 = x
A set of ordered pairs is shown. The set does not
represent a function.
{(-2,5), (0, 1), (3,6), (4, 6), (2,3), (5,-2),
(0,8)}
Which ordered pair could be removed from the set so it can represent a function
Maria scored 72, 97, and 82 on her first three math tests. She wants to have a mean score of 82 for the quarter. How many points does she need on her last test to earn an 82 for the quarter?
Answer:
Step-by-step explanation:
77 points. 82*4=328 328-72-97-82=77 You can check this by adding 77,72,97, and 82, and divide it by 4
An equilateral triangle has an altitude of 21 inches. What is the side length of the triangle?
14√2
7√2
7√3
14√3
55 points simple question!
Coach Tim needs to fill five
volleyballs with air. If each
volleyball has a diameter of 8
inches, what s the total volume
of air that Coach Tim will
heed? Round to the nearest
whole number.
Answer:
405
Step-by-step explanation:
because u have to do half of 8 which is 4 then u got to plug it in
Sin(x-y)+sin(x-y prove the identity
Step-by-step explanation:
[tex] \sin(x - y) + \sin(x + y) = 2 \sin(x) \cos(y) [/tex]
We use the sum and difference identities.
Remeber the sum difference identity is
[tex] \sin(x + y) = \sin(x) \cos(y) + \cos( x ) \sin(y) [/tex]
and
[tex] \sin(x - y) = \sin(x) \cos(y) - \sin(x) \cos(y) [/tex]
So we get
[tex] (\sin(x) \cos(y) - \sin(y) \cos(x) ) + \sin(x) \cos(y) + \sin(y) \cos(x) [/tex]
Combine like Terms.
[tex]2 \sin(x) \cos(y) = 2 \sin(x) \cos(y) [/tex]
We have provided it.
What is the area of a parallelogram with a base of 7 meters and a height of 6 meters?
26 m2
42 m2
13 m2
35 m2
Answer:
the answer is 42 m2
Step-by-step explanation:
7×6=42
Simplify
(4/5x+1)+(2/5x-1)
Answer:
0.4
Step-by-step explanation:
Hope this helps
