In the garage 33.33 percentage of work were MOTS.
Percentage is defined as per-cent, that is out of hundred. The percentage is calculated by dividing the acquired value by the total value and multiplying the result by 100.
Now in the given problem,
Total number of vehicles on which Keith worked is 105.
The number of MOTS among the 105 is 35.
Now we have to calculate the percentage of the MOTS out of a total 105 vehicles.
Let us use the formula=(number of MOTS ÷ total vehicles)×100
Therefore required percentage=[tex]\frac{35}{105}\times 100\%[/tex]
or, percentage=33.333...%
Therefore we can conclude that the total percentage of MOTS were approximately 33.33%(rounded to 2 decimal places).
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In each equation below, the letter x stands for an unkn
number x stands for. Write down exactly how you do it
1.
X/5=7
Answer:
[tex]x=35[/tex]
Step-by-step explanation:
Given the following question:
[tex]\frac{x}{5} =7[/tex]
When x is the numerator of the fraction you multiply each side by the denominator in order to isolate the variable.
[tex]\frac{x}{5} =7[/tex]
[tex]\frac{5x}{5} =x[/tex]
[tex]7\times5=35[/tex]
[tex]x=35[/tex]
Hope this helps.
Answer:
x = 35
Explanation and Chcek part below
Hope this helps :)
Step-by-step explanation:
x
Fraction bar/divide ---> --- = 7
5
1. Isolate the variable since it says dividing by 5 we must do the inverse operation which is multiplying by 5 to cancel them out. We are multiplying by 5 on one side of equation so we must multiply on the other side too. When a number is next to parenthesis it means to multiply the 2 numbers.
x
(5) -- = 7 (5)
5
x = 35
Check:
35
---- = 7
5
7 = 7
True statement.
What basic fact can you use to help you solve 500 × 4
Answer:
500 x 4
500 x 4
5 x 4 =
20
Add the two 00's from 500.
You get 2,000.
Step-by-step explanation:
Well, we can focus on the number 5 from 500 and multiply it by 4 to receive the answer of 20 because we can assume the person solving this question knows simple multiplication factors and how to solve 5 times 4. Then, we can add the two zeros from the 500. Thus, it's 2,000.
Hope this helps.
Answer:2,000
Step-by-step explanation:
500x4
take the zeros
5x4=20
then add the zeros
it will be 2,000
An article claimed the state's typical price of a gallon of gasoline is $2.69. The prices from 5 gas stations surveyed were $2.79, $2.99, $2.69, $2.89, and $2.69.
According to this data, what is wrong with the article's statement?
The typical average price of gasoline should be $2.81 and not $2.69 because $2.69 is not the average of the sampled prices.
What is the mean of the sample?
We are given the prices of a gallon of gasoline from 5 gas stations surveyed as; $2.79, $2.99, $2.69, $2.89, and $2.69.
Thus, to calculate the mean, we will use the formula;
Mean = ∑x/n
Mean = (2.79 + 2.99 + 2.69 + 2.89 + 2.69)/5
Mean = 14.05/5
Mean = $2.81
Thus, the typical average price of gasoline should be $2.81 and not $2.69
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PLEASE HELP IM BEIGGONG BEGGING BEGGONF YOUUUU!!! EXTRA POINTS AND BRAINLIEST I HAVE OHOTOT
Just questions 14-30 EVEN
Due to length restrictions, we kindly invite to check the explanation of this question for further details on equations.
How to clear the variables within equationsIn this problem we find equations that have got to be cleared with respect to a given variable, this can be done by taking advantage of algebra properties:
14) b / c = a → c = b / a
15) k = a - y → y = a - k
16) d · f · g = h → f = h / (d · g)
17) 2 · x + 3 · y = 12 → 3 · y = 12 - 2 · x → y = 4 - (2 / 3) · x
18) 2 · n = 4 · x + 2 · y → n = 2 · x + y
19) a · b · c = 1 / 2 → b = 1 / (2 · a · c)
20) y = 3 / (5 · u) + 5 → y - 5 = 3 / (5 · u) → 5 · u = 3 / (y - 5) → 3 / [5 · (y - 5)]
21) 8 · (x - a) = 2 · (2 · a - x) → 8 · x - 8 · a = 4 · a - 2 · x → 10 · x = 12 · a → x = (6 / 5) · a
22) 12 · (m + 3 · x) = 18 · (x - 3 · m) → 12 · m + 36 · x = 18 · x - 54 · m → 66 · m = - 18 · x → m = - (3 / 11) · x
23) V = (π / 3) · r² · h → h = [3 · V / (π · r²)]
24) V = (π / 3) · r² · (h - 1) → h - 1 = [3 · V / (π · r²)] → h = 1 + [3 · V / (π · r²)]
25) y · (a - b) = c · (y + a) → a · y - b · y = c · y + a · c → (a - b - c) · y = a · c → y = (a · c) / (a - b - c)
26) x = [3 · (y - b)] / m → (m · x) / 3 = y - b → y = b + (m · x) / 3
27) F = - (G · m) / r² → G = - (F · r²) / m
28) The area formula of the baking sheet is l · w = 117.
29) The temperature formula is T = (7 / 30) · n + 40.
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255 divided 50 = ?
Pls help
Answer:
5.1
Step-by-step explanation:
1) 10 3/4 gallons of gas costs $21.50.
What is the cost per gallon
Kubin Company’s relevant range of production is 12,000 to 16,000 units. When it produces and sells 14,000 units, its average costs per unit are as follows:
Average Cost per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Fixed manufacturing overhead $ 5.30
Fixed selling expense $ 3.80
Fixed administrative expense $ 2.80
Sales commissions $ 1.30
Variable administrative expense $ 0.80
Required:
1. Assume the cost object is units of production:
a. What is the total direct manufacturing cost incurred to make 14,000 units?
b. What is the total indirect manufacturing cost incurred to make 14,000 units?
2. Assume the cost object is the Manufacturing Department and that its total output is 14,000 units.
a. How much total manufacturing cost is directly traceable to the Manufacturing Department?
b. How much total manufacturing cost is an indirect cost that cannot be easily traced to the Manufacturing Department?
3. Assume the cost object is the company’s various sales representatives. Furthermore, assume that the company spent $39,200 of its total fixed selling expense on advertising and the remainder of the total fixed selling expense comprised the fixed portion of the company's sales representatives’ compensation.
a. When the company sells 14,000 units, what is the total direct selling expense that can be readily traced to individual sales representatives?
b. When the company sells 14,000 units, what is the total indirect selling expense that cannot be readily traced to individual sales representatives?
2. Assume the cost object is the Manufacturing Department and that its total output is 14,000 units.
a. How much total manufacturing cost is directly traceable to the Manufacturing Department? (Round per unit values to 2 decimal places.)
b. How much total manufacturing cost is an indirect cost that cannot be easily traced to the Manufacturing Department?
Show less
2a. Direct material cost per unit
2a. Direct labor cost per unit
2a. Variable manufacturing overhead per unit
2a. Fixed manufacturing overhead per unit
2a. Total manufacturing cost per unit $0.00
2a. Number of units produced and sold
2a. Total direct costs $0
2b. Total indirect costs
1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600.
1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200.
2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600.
2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200.
3a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.
3b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.
4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.
4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.
2a. Direct material cost per unit is $7.30.
2a. Direct labor cost per unit is $4.30.
2a. The Variable manufacturing overhead per unit is $1.80.
2a. The Fixed manufacturing overhead per unit is $5.30.
2a. The total manufacturing cost per unit is $18.70 ($13.40 + $5.30)
2a. The number of units produced and sold is 14,000 units.
2a. Total direct costs are $217,000 (14,000 x $13.40 + 14,000 x $2.10).
2b. Total indirect costs are $166,600 (14,000 x $5.30 + 14,000 x $6.60).
Data and Calculations:Relevant production range = 12,000 to 16,000 units
Production and sales units = 14,000 units
Average Cost
per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Direct cost per unit $13.40
Fixed manufacturing overhead $ 5.30
Total manufacturing cost per unit $18.70
Fixed selling expense $ 3.80 $53,200 ($3.80 x 14,000)
Fixed administrative expense $ 2.80 $39,200 ($2.80 x 14,000)
Total fixed costs per unit $6.60 $92,400 ($6.60 x 14,000)
Variable selling and admin:
Sales commissions $ 1.30
Variable administrative expense $ 0.80
Total variable selling and admin per unit = $2.10
1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600 ($13.40 x 14,000).
1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200 ($5.30 x 14,000).
2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600 ($13.40 x 14,000).
2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200 ($5.30 x 14,000).
3) Fixed selling expenses = $53,200 ($3.80 x 14,000)
Advertising expenses = $39,200
Sales Compensation = $14,000 ($53,200 - $39,200)
Sales Commission = $18,200 ($1.30 x 14,000)
Total Salespersons' compensation = $32,200
a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.
b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.
4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.
4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.
2a. Direct material cost per unit is $7.30.
2a. Direct labor cost per unit is $4.30.
2a. The Variable manufacturing overhead per unit is $1.80.
2a. The Fixed manufacturing overhead per unit is $5.30.
2a. The total manufacturing cost per unit is $18.70 ($13.40 + $5.30)
2a. The number of units produced and sold is 14,000 units.
2a. Total direct costs are $217,000 (14,000 x $13.40 + 14,000 x $2.10).
2b. Total indirect costs are $166,600 (14,000 x $5.30 + 14,000 x $6.60).
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If you only have a 1/3 measuring cup and a recipe calls for 12 2/3 cups of flour, how many 1/3 cups would you need to use? 1/3 * t th cups
====================================================
Explanation:
Imagine drawing a circle and splitting it into 3 equal slices. Repeat this process to get 12 identical such circles. We have 12*3 = 36 slices so far.
Then add a 13th circle that has 2 of the 3 slices shaded, to represent 2/3. So we add 2 extra slices to the 36 original to get 36+2 = 38 total slices.
Each slice represents 1/3 of a cup. So each full circle represents 1 full cup.
-------------
Another approach:
Let's convert the mixed number 12 & 2/3 into an improper fraction
We use the formula
a & b/c = (a*c+b)/c
So,
12 & 2/3 = (12*3+2)/3 = (36+2)/3 = 38/3
Then rewrite the 38/3 as 38*(1/3) to show we have 38 copies of the 1/3 cup.
Answer: 38 cups
Step-by-step explanation:
We will divide 12 2/3 cups by our measurement, 1/3 cup, to find how many 1/3 cups will be needed.
(12 + 2/3) / (1/3) = 38 cups
Sally can paint a room in 6 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
2 hours
Step-by-step explanation:
Rate_Sally=1/3, Rate_Steve=1/6, Rate_Together=Rate_Sally+Rate_Steve;
T_Together=1/Rate_Together
=1/(1/3+1/6)=1/(1/2)=2 hours
number of gram in p gram?
Answer:
1 pound (lb) is equal to 453.59237 grams (g)
5 divisible my 3 and 9
Answer:
5 is not divisible by 3 and 9 .
Translate into an expression T times B times 4
hi
"times " = multiply by
B*T*4 = 4BT (as it is the custom to put numbers before letters, and letters in alphabetic order)
Find the smallest value of k if 360k is a perfect square
Answer:
k = 1
Step-by-step explanation:
since 360 = 60² , a perfect square , then
360 × 1 ← is a perfect square
that is 360k with k = 1 is a perfect square
Brian is buying gifts bags for all of the students in his class. The graph shows the relationship between the number of bags and the cost of the bags. Write an equation relating the number of bags, x, and the cost, y.
An equation that relates the number of bags, x, to the cost, y is y = 5x.
What is an equation?An equation is a mathematical statement that claims that the two sides are equal.
An equation involves two or more variables that require some mathematical operations to obtain their equivalent value.
Therefore, an equation contains numbers, variables, and operators, which show a value after the mathematical operations.
Data and Calculations:Let the number of bags for the class = x (number of students)
Let the unit cost of a bag = $5
Let y = the total cost
Equation, y = 5x
Thus, an equation that relates the number of bags, x, to the cost, y is y = 5x.
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The function f(x) = (x − 4)(x − 2) is shown. On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 1), and goes through (4, 0). What is the range of the function? all real numbers less than or equal to 3 all real numbers less than or equal to −1 all real numbers greater than or equal to 3 all real numbers greater than or equal to −1 Mark this and return Save and Exit Next
Step-by-step explanation:
all real numbers greater than our equal to -1.
as the parabola function is y = something in x², the parabola opens up either up or down.
if the function would have been x = something in y², the parabola would open left or right.
but our parabola here opens therefore up and down.
the vertex is therefore the maximum or minimum of the parabola. y does not get larger or smaller than the y value of the vertex.
as we see that the curve goes through points with y value 0 (which is clearly larger than -1), it means the vertex is a minimum, and the parabola opens up.
therefore the answer at the beginning. any y value of the function can only be greater than or equal to -1.
Find the first derivative (x²+x-2)/(2x²-2).
how to find the answer using the quotient rule.
the first derivative of the given function is:
f'(x) = (2x²- 12x - 2)/( 2x² - 2)²
How to find the derivative?
The quotient rule says that, if f(x) = g(x)/h(x), then:
f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²
In this case we know that:
g(x) = x² + x - 2
h(x) = 2x² - 2
The derivatives are:
g'(x) = 2x + 1
h'(x) = 4x
Replacing that we get:
f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²
= ( (2x + 1)*(2x² - 2) - ( x² + x - 2)*(4x) )/( 2x² - 2)²
Expanding the denominator we get:
f'(x) = ( 4x³ - 4x + 2x² - 2 - 4x³ + 4x² - 8x)/( 2x² - 2)²
f'(x) = (2x²- 12x - 2)/( 2x² - 2)²
That is the first derivative of the given function.
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draw a model to represent the following problem 12x6
Answer:just draw 6 apples up and down, then draw them 11 more times right next to each other, so draw 72 apples
Step-by-step explanation:
Solve for x. 6x-10≤8 or 1/3x+6>12 PLEASE HELP and show work
The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
Given two equations 1)6x-10<8 and 2) [tex]\frac{x}{3}[/tex]+6 > 12
Solving the above equations
1) 6x-10≤8
⇒6x ≤ 18
⇒X≤ 3
⇒x ≤ 3 i.e. x ∈ (-infinity,3]
2)[tex]\frac{x}{3}[/tex]+6 > 12
⇒[tex]\frac{x}{3}[/tex] > 6
⇒x>18
⇒ x > 18 i.e. x ∈ (18,infinity)
Therefore,The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
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What is 5+3 72 times
Answer: 576
Step-by-step explanation:
5+3 = 8
8*72=576
Answer:576
Step-by-step explanation: just add and multiply
If B is the midpoint of ACand AB = 3x - 3 and AC = 9x - 15. find bc
Answer:
14
Step-by-step explanation:
B is the midpoint of AC, in other words it is the halfway point.
So A to B should be equal to B to C
Our expression is:
2x + 9 = 37
Subtract 9
2x = 28
Divide by 2
x = 14
4(x + 2)-2=6x-21-4+x)
Answer:
3.5 or [tex]\frac{7}2}[/tex]
Step-by-step explanation:
4(x+2)-2=6x-2(4+x)
4x + 8 - 2 = 6x - 8 + 2x
4x + 6 = 8x - 8
14 = 4x
x = 3.5 or [tex]\frac{7}2}[/tex]
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Through (5,8); slope -2
X=-2×+18
How did we get 18
Answer:
y = -2x + 18
Step-by-step explanation:
Slope m = -2 with y = 8, x = 5
y = mx + b
8 = (-2)(5) + b
8 = -10 + b
b = 8 + 10 = 18
then y = -2x + 18
A parallelogram has an area of 7 square units. If the height that corresponds to a base is 1/4 unit, what is the base?
Answer: 28 units
Step-by-step explanation:
A=area of parallelogram. h=height. b=base
A=h*b
7=1/4 *b
(7=1/4 *b)*4 ==>Multiply both sides by 4 to get rid of fractions
28=b
b=28 units
How many GRAMS of aluminum are present in 1.40 grams of aluminum sulfate,
Al2(SO4)3?
54 grams of aluminium is present in aluminium sulphate Al₂(SO₄)₃.
What is meant by the term molecular mass/weight?A substance's molecular mass is the sum of the atomic masses of all of the atoms in the molecule of a substance.
It is applied to substances with molecules as constituent particles.The molecular mass expresses the mass of a molecule in relation to the mass of the 12C atom, that is assumed to be 12. Although molecular mass is indeed a dimensionless quantity, it is provided the unit Dalton or atomic mass unit to indicate that the mass is relative to 1/12th this same mass of a single carbon-12 atom.For the given question, the expression is;
aluminium sulphate Al₂(SO₄)₃
As three of aluminium is present in the aluminium sulphate.
And, molecular mass of one aluminium atom is 27 grams;
Thus, for 2 aluminium atoms = 2×27 = 54 grams.
Therefore, the compound aluminium sulphate contains 54 gram of aluminium in it.
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5 is 1/2% of what number
I need help please….
enter the correct letters in the boxes on the left with the negative statements on the right
E Apples make good pies A seven is not a prime number
F the sun is hot today B a line does not contain at least two points
D 3+2=7 C a right angle does not measure < 90degre
C a right angle measure < 90 D 3+2[tex]\neq[/tex]7
A seven is a prime number E apples does not make good pies
B a line contain at least two points F the sun is not hot today
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Solve by using the quadratic formula. Express the solution set in exact simplest form. y^2-7y-9=0
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{1}y^2\stackrel{\stackrel{b}{\downarrow }}{-7}y\stackrel{\stackrel{c}{\downarrow }}{-9}=0 \qquad \qquad y= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ y= \cfrac{ - (-7) \pm \sqrt { (-7)^2 -4(1)(-9)}}{2(1)} \implies y = \cfrac{ 7 \pm \sqrt { 49 +36}}{ 2 } \\\\\\ y= \cfrac{ 7 \pm \sqrt { 85 }}{ 2 }\implies y= \begin{cases} \frac{ 7 + \sqrt { 85 }}{ 2 }\\[1em] \frac{ 7 - \sqrt { 85 }}{ 2 } \end{cases}[/tex]
The mouth of a large river has a flow of fresh water, amounting to 5,500,000 cubic feet per second. How many cubic meters per second pour out of the mouth of this
river? (Use 1 foot 0.305 meter.)
The rate of discharge is 1,54,550 cubic meter/sec.
This is the problem related to conversion of units. We need to convert cubic feet into cubic meter here.
Also we know that 1 foot = 0.305 meter.
The rate of discharge of water is given as 5,500,000 cubic feet per second.
So, now to convert to cubic meter we need to divide the given rate by cube of 0.305.
Now discharge in cubic meter per second = [tex]5,500,000*(0.305)^{3}[/tex]
= [tex]5,500,000*0.028[/tex]
= 1,54,550 cubic meter/sec
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algebra
(3x)^3 3^3 x^3 =????
Answer: 729x^6
Step-by-step explanation: I got this answer because I first multiplied the 3^3 which is 27
then the equation is 27x^3 times 3^3x^3. Then you do the same thing on the other side which is 27x^3. So 27x^3 times 27x^3. After that you multiple 27 and 27 which is 729, don’t forget your x^3 and x^3 which is x^6 so your answer is 729x^6.
5(x+11)>-4(-x-12)
someone pls help this is due tmrw!
Answer:
work is shown and pictured