Answer:
B (lease costs and taxes) and D (utilities, rent, lease, depreciation) are examples of fixed expenses as they typically do not vary with changes in volume.
Direct staffing costs (A) and utilities and supplies utilized in the production of service or product (C) are generally considered variable expenses as they tend to vary based on the volume of production or sales. For example, if a business produces more goods or provides more services, it will typically need to hire more staff and use more supplies, leading to an increase in expenses.
Step-by-step explanation:
help please The sum of two even numbers is even. The sum of 6 and another number is even. What conjecture can you make about the other number?
A) The other number is odd.
B) The number is even.
C) Not enough information.
D) The number is 8.
The conjecture that can be made about the other number is option A: the other number is odd.
Let's assume that the two even numbers are x and y. Then, we can write their sum as x + y = 2a, where a is some even number.
Now, let's consider the sum of 6 and another number, which we can represent as 6 + z, where z is some unknown number. If this sum is even, then we can write it as 2b, where b is some even number.
So, we have the equations:
x + y = 2a (since the sum of two even numbers is even)
6 + z = 2b (since the sum of 6 and another number is even)
We can subtract 6 from both sides of the second equation to get:
z = 2b - 6
Now, we can substitute this expression for z into the first equation:
x + y = 2a
And we get:
x + y + z - 2z = 2a
x + (y + z) - 2z = 2a
x + (2b - 6) - 2z = 2a
x + 2b - 2z - 6 = 2a
This equation tells us that x + 2b - 2z - 6 is an even number (since 2a is even). Since x and 2b are even, the expression -2z - 6 must also be even. Therefore, -2z must be even. This means that z is odd (since an even number minus an even number is even, and -6 is even).
So, we can conclude that the other number (z) is odd. Option A is the correct answer.
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Solve by using a system of equations.
A goldsmith has two gold alloys. The first alloy is 30% gold; the second alloy is 80% gold. How many grams of each should be mixed to produce 40 grams of an alloy that is 60% gold?
The amount of grams of each alloy that should be mixed to produce 40 grams of an alloy that is 60% gold are 16 grams and 24 grams respectively.
How to write a system of equations to model this situation?In order to write a system of linear equations to describe this situation, we would assign variables to the quantity of first alloy (30% gold) and the quantity of second alloy (80% gold) respectively, and then translate the word problem into a linear equation as follows:
Let the variable y represent the quantity of first alloy (30% gold).Let the variable x represent the quantity of second alloy (80% gold).Therefore, a system of linear equations to describe this situation can be written as follows;
x + y = 40 .....equation 1.
0.3x + 0.8y = 0.6(40) .....equation 2.
From equation 2, we have the following:
0.3x + 0.8y = 24
0.3x + 0.8(x - 40) = 24
0.3x + 32 - 0.8x = 24
-0.5x = -8
x = -8/-0.5
x = 16 grams.
y = 40 - x
y = 40 - 16
y = 24 grams.
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In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class has a brother?
The probability that a student chosen randomly from the class has a brother is 57%.
Given is a data table summarizes how many students have a brother or a sister.
We need to find the probability that a student chosen randomly from the class has a brother,
So, we know, probability = favorable outcome / total outcome
Here, favorable outcome = having a brother = 12 + 4 = 16
Total outcomes = all the students = 12+4+10+2 = 28
So,
P(having a brother) = 16/28 = 0.57 = 57%
Hence the probability that a student chosen randomly from the class has a brother is 57%.
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3.4 The rectangular box has the length of 8x² and the breadth of 6x² - 4x 3.4.1 What is the area of the box? 3.4.2 Factorise the area of the box? 3.4.3 If x = 2 what will be the value of the length and the breadth?
Answer:
3.4.1) (8x^2)(6x^2 - 4x) = 48x^4 - 32x^2
3.4.2) 48x^4 - 32x^2 = (16x^2)(3x^2 - 2)
3.4.3) Length = 16(2^2) = 16(4) = 64
Width = 3(2^2) - 2 = 3(4) - 2
= 12 - 2 = 10
Area = 64(10) = 640
help please i need help with this answer
The initial value (a) of the exponential function f(x) = 4ˣ is 1.
How to solve an exponential equation?The standard form of an exponential equation is:
y = abˣ
where a is the initial value and b is the multiplication factor.
If b > 1, it is a growth function and if b < 1, it is a decay function.
Given the exponential function:
f(x) = 4ˣ
The initial value (a) = 1 and the multiplication factor (b) = 4.
The graph of the exponential function f(x) = 4ˣ is attached below.
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Create a bar graph from the results of the following survey question: "On average, how much time do you spend using your cell phone each week?"
The bar graph from the results of the following survey question titled "Hours spent using your cell phone each week" is found in the attachment.
What is a bar graph?A bar chart, also called a bar graph, is a visual representation of categorical data that uses rectangular bars with heights or lengths that correspond to the measure of the values they represent.
The bars in a bar chart can be plotted either vertically or horizontally.
Vertical bars, horizontal bars, grouped bars, or stacked bars can all be used to make bar graphs.
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Please Help With Question Inside of the picture
The workers percentile score is given as follows:
69.15%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The z-score for this problem is given as follows:
z = 0.5.
Hence the percentile score is of 69.15%, as z = 0.5 has a p-value of 0.6915.
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Someone help i really need help with this
The percentage increase in the number of water bottles from February to April is 19%.
How to find the percentage increase?A company manufactures water bottles. The list describes the amount of water bottles manufactured in three months.
Therefore,
February: 4100 water bottles
March: 7% more water bottles than in February
April: 500 more water bottles than in march
Therefore,
Number of water bottles in march = 4100 + 7% of 4100
Number of water bottles in march =4100 + 7 / 100 × 4100
Number of water bottles in march = 4100 + 287
Number of water bottles in march = 4387
Hence,
Number of water bottles manufactured in April = 4387 + 500 = 4887
Therefore,
percentage increase from February to April = 4887 - 4100 / 4100 × 100
percentage increase from February to April = 787 / 4100 × 100
percentage increase from February to April = 78700 / 4100
percentage increase from February to April = 19.1951219512
percentage increase from February to April = 19%
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(7x^9)^2*3x^11
^ is the exponent sign
The answer in exponent form is 147x^29.
What is a scientific notation?A scientific notation is a method of expressing very large numbers in the form of exponent.
In the given question, we have;
(7x^9)^2*3x^11
applying the law of indices,
(7x^9)^2*3x^11 = (7^2)*x^(9*2)*3x^11
= 49x^18*3x^11
= (49*3)*x^(18+11)
= 147x^29
Thus, the expression can be simplified as: 147x^29.
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Solids A and B are similar. Use the given information and scale factor k from solid A to solid B to find the surface area of solid B.
Prism A has a surface area of 805 square feet and the and k=1/5
Answer:
32.2 ft²---------------------
We know that area is the product of two dimensions.
Hence we consider the square of the scale factor when comparing areas of similar figures.
The surface area of solid B is k² times the surface area of solid A:
S(B) = k²S(A)Substitute and calculate:
S(B) = (1/5)²(805) = 805/25 = 32.2 ft²IF THERE ARE 12 RUNNERS IN A RACE, AND 3 RUNNERS ARE RANDOMLY CHOSEN OUT OF THE 12 FOR DRUG TESTING, HOW MANY DIFFERENT WAYS CAN THESE 3 BE CHOSEN?
we need combination formula:
[tex] \frac{nı}{(n - r)ı \times rı} [/tex]
"I means !"
so the answer is:
12!/9! × 3! = 440
SOMEONE, PLEASE HELP!
Laquita has $3,500 a month in cash inflows and $3,240 a month in forecasted cash
outflows. How much can she contribute annually to her liquidity fund?
Answer: $3120
Step-by-step explanation:
3500-3240
=260
260*12=3120
hi I need help on questions 10-17 on this paper. if you are a expert (know what to do) of vertical angles and angle relationships in a triangle then please help me.
Answer:
10) 73
11) 107
12) 107
13) x = 23
14) 135
15) 45
16) 123, 28 29
17) 180 - 72 - 28 = 80
Angle K is 80
Step-by-step explanation:
10:
Vertical angels are congruent. The same measurement.
11:
Supplements angles add to 180
180 - 73 = 107
12:
Same as 11
13:
135
Vertical angles are congruent
5x + 20 = 3x + 66 Subtract 3x from both sides
2x + 20 = 66 Subtract 20 from both sides
2x = 46 Divide both sides by 2
x = 23
14:
5x + 20 Substitute 23 for x
5(23) + 20
115 + 20
135
15:
This angle is supplemental to ABC
180 - 135 = 45
16:
The sum of the interior angles of a triangle is 180
123 + x-2 + x -3 = 180 Combine like terms
118 +2x = 180 Subtract 118 from both sides
2x = 62 Divide both sides by 2
x = 31
x- 2
31 - 2 = 29
x - 3
31 - 3 = 28
Three angles 123, 29, 28
17:
The sum of the interior angles is 180
180 - 72 - 28 = 80
Helping in the name of Jesus.
Which expression is equivalent to 5/4x +33-2+2
The expression that is equivalent to 5/4x +33-2+2 is 5x + 132/4. Option C
How to determine the valueIt is important to note that algebraic expressions are defined as expressions that consists of factors, variables, constants, coefficients and terms.
These expressions are also made up of arithmetic operations.
These operations are listed as;
AdditionBracketParenthesesMultiplicationDivisionSubtractionFrom the information given, we have that;
5/4x +33-2+2
Add or subtract the values
5/4x + 33
Find the LCM, we have;
5x + 132/4
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Complete question:
Which expression is equivalent to 5/4x +33-2+2
5x + 132
6x + 132/4
5x + 132/4
6x + 132