If the third of three consecutive integers is subtracted from 132, the result is the sum of the first and second. What are the integers?
Answers
Answer:
gg
Step-by-step explanation:
Answer:
Three consecutive integers are 43, 44, 45
Step-by-step explanation:
Let three consecutive integers be x, (x + 1), (x + 2)
According to the question, if the third of three consecutive integers is subtracted from 132, the result is the sum of the first and second.
\( \therefore \)
\( \implies \rm 132 - (x + 2) = x + (x + 1) \\ \\ \implies \rm 132 - x - 2 = x + x + 1 \\ \\ \implies \rm 130 - x = 2x + 1 \\ \\ \implies \rm 130 - 1 = 2x + x \\ \\ \implies \rm 129 = 3x \\ \\ \implies \rm 3x = 129 \\ \\ \implies \rm x = \frac{129}{3} \\ \\ \implies \rm x = 43\)
So,
The integers are as follows:
x = 43
x + 1 = 44
x + 2 = 45
Related Questions
Divide (NO LINKSSSS!! Also, 20 points for the one who answer and will mark brainliest)
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The question is asked in the attached file,. Kindly someone answer it in the best way.
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According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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Two angles of a triangle measure 53. What is the measure of an exterior angle at each vertex of the triangle?
Answers
Answer:
53+53=106
180-106=74
74 + 53= 127 (answer 1)
53+53=106 (answer 2)
74+53=127 9answer 3)
The measure of each exterior angle is 106, 127, and 127 degrees if the two angles of a triangle measure 53.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have:
Two angles of a triangle measure 53:
The measure of the angles of a triangle:
53, 53, (180-53-53)
53, 53, 74 in degrees
As we know,
The sum of the two interior angles of a triangle is equal to the exterior angle:
Exterior angle(1st vertex) = 53 + 53 = 106 degrees
Exterior angle(2nd vertex) = 53 + 74 = 127 degrees
Exterior angle(3rd vertex) = 74 + 53 = 127 degrees
Thus, the measure of each exterior angle is 106, 127, and 127 degrees if the two angles of a triangle measure 53.
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The dimensions of a rectangular bin are consecutive integers. If the volume of the bin is 4896 cubic inches, what are the dimensions of the bin? a. 12 x 18 x 24 c. 15 x 17 x 19 b. 16 x 17 x 18 d. 17 x 18 x 19
Answers
Let's use an equation to solve this problem.
Since they are consecutive integers, if we say that the first number is \(x\), then the next two numbers (three dimensions in a rectangular prism) are \(x+1\) and \(x+2\) respectively.
\(x*(x+1)*(x+2)=4896\)
\(x*(x+1)=x^2+x\)
\((x^2+x)*(x+2)=x^3+2x^2+2x\)
\(x^3+3x^2+2x=4896\)
\(x^3+3x^2+2x-4896=0\)
\(x=16\)
B is the correct answer.
question a factory manager selected a random sample of parts produced on an old assembly line and a random sample of parts produced on a new assembly line. the difference between the sample proportion of defective parts made on the old assembly line and the sample proportion of defective parts made on the new assembly line (old minus new) was 0.006. under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being the proportion of defective parts made on the old assembly line is greater than that of the new assembly line. the pp-value of the test was 0.018.
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Two methods can be used to administer the test.
A different theoryAbsent HypothesisThe justification for each of them is given below.What is hypothesis?Writing down the hypothesis throughout the proposal phase is required. Instead of a hypothesis that develops as a result of looking at the data, this will help to keep the research effort concentrated on the main goal and establish a firmer foundation for evaluating the study's outcomes. For these questions, answer option C is the best choice.Another possibility is that there are more faulty parts produced on the old assembly line than on the new assembly line.The value of the p is equal to 0.018, which is equivalent to 0.06 under the null hypothesis that the proportion of defective components produced on the old assembly line is equal to that produced on the new assembly line.Therefore, We infer that the solution to these questions is option C. The likelihood of noticing a difference of 0.006 is 0.018 if there is no difference in the proportions of all defective parts produced on the two assembly lines.
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Algebraic proof write a reason for every step4x = 12x + 32
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The cost of renting a car is $75/wk plus $0.25/mi traveled during that week. An equation to represent the cost would be y = 75 + 0.25x, where x is the number of miles traveled. If your cost was $96.25, how many miles were you charged for traveling?
Answers
Answer:
We know we have to pay $75 per weel plus $0.25 for each mile we traveled, from that, if we call x the miles we have travelled, the total cost would be:
\(C = 75 + 0.25x\)
As each mile we travel costs $0.25. Now that we have that expression, they ask us how many miles did we travel if we had to pay $96.25.
The only thing we have to do is replacing the C (our total cost) per $96.25 and solve the equation we get:
\(96.25=75+0.25x\)
\(96.25-75=0.25x\)
\(21.25=0.25x\)
\(\frac{21.25}{0.25} = x\)
\(85 = x\)
We hve traveled 85 miles.
The perimeter of the rectangle is below 76 units. Find the length of side AD. AB on rectangle 3y + 3 CB 2y
Answers
Answer:
14 units
Step-by-step explanation:
The perimeter of a figure is the sum of the lengths of all the sides.
Here, we know that ABCD is a rectangle, so by definition, AB = CD and AD = BC. We also are given that AB = 3y + 3 and BC = 2y, which means that:
AB = CD = 3y + 3
AD = BC = 2y
Adding up all the side lengths and setting that equal to the perimeter, which is 76 units, we get the expression:
AB + CD + AD + BC = 76
(3y + 3) + (3y + 3) + 2y + 2y = 76
10y + 6 = 76
10y = 70
y = 7
We want to know the length of AD, which is written as 2y. Substitute 7 in for y:
AD = 2y = 2 * 7 = 14
The answer is thus 14 units.
~ an aesthetics lover
Answer:
14
Step-by-step explanation:
The perimeter of a rectangle is found by
P = 2 (l+w)
P = 2( 3y+3+2y)
Combine like terms
P = 2(5y+3)
We know the perimeter is 76
76 = 2(5y+3)
Divide each side by 2
76/2 = 2/2(5y+3)
38 = 5y+3
Subtract 3 from each side
38-3 = 5y+3-3
35 = 5y
Divide each side by 5
35/5 = 5y/5
7 =y
We want the length of AD = BC = 2y
AD = 2y=2*y = 14
Art and chris had a two-month competition to see who could walk more dogs. in the first month, art walked 3/5 as many dogs as chris. during the second month, Art increased the number of dogs he walked by 5 and Chris lost 4 customers. in the second month, art walked 25 dogs less than chris. how many dogs did each boy walk each month?
Answers
Ok, so
We know that Art and Chris had a two month competition to see who could walk more dogs.
Let "x" be the number of dogs that Art walked and let "y" be the number of dogs that Chris walked.
In the first month, we could write:
\(x=\frac{3}{5}y\)In the second month, we have that:
\(x=y-25\)And, in the first month,
\(x-5=\frac{3}{5}(y+4)\)We could solve the system:
\(\begin{gathered} x-5=\frac{3}{5}(y+4) \\ x=y-25 \end{gathered}\)If we re-write:
\(\begin{gathered} \begin{cases}x-5=\frac{3}{5}y+\frac{12}{5} \\ x=y-25\end{cases} \\ \\ \begin{cases}x=\frac{3}{5}y-\frac{12}{5}+5 \\ x=y-25\end{cases} \end{gathered}\)By equal values method, we could write:
\(\begin{gathered} \frac{3}{5}y+\frac{37}{5}=y-25 \\ \frac{3y+37}{5}=y-25 \\ 3y+37=5(y-25) \\ 3y=5y-125-37 \\ -2y=-162 \\ y=81 \end{gathered}\)The total number of dogs that Chris walked in the second month, was 81.
Now, replacing:
\(\begin{gathered} x=y-25 \\ x=81-25 \\ x=56 \end{gathered}\)The total number of dogs that Chris walked in the second month, was 56.
During the second month, art increased the number of dogs he walked by 5 and chris lost 4 customers, so, in the first month, Art had 5 dogs less, and Chris had 4 dogs more. Then, in the first month:
\(\begin{gathered} x=51 \\ y=85 \end{gathered}\)Which clearly is:
\(\begin{gathered} x=\frac{3}{5}y \\ 51=\frac{3}{5}(85) \end{gathered}\)Therefore, in the second month, Art walked 56 dogs and Chris walked 81 dogs.
In the first month, Art walked 51 dogs and Chris walked 85 dogs.
You order three sandwiches and a drink. The drink costs $1.75. You pay 8% sales tax and leave a $5 tip. You pay a total of $20.66. How much does one sandwich cost?
Answers
Using proportions, it is found that one sandwich costs $4.25.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Considering x as the cost of a sandwich, the total cost is given as follows:
1.08(3x + 1.75) + 5 = 20.66.
The multiplication by 1.08 is because of the sales tax. We solve for x to find the cost of one sandwich, hence:
1.08(3x + 1.75) = 15.66
3x + 1.75 = 14.5
3x = 12.75
x = 12.75/3
x = 4.25.
Hence one sandwich costs $4.25.
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How do you do this question?
Answers
Answer:
33/16
Step-by-step explanation:
x = y⁴/8 + 1/(4y²), 1 ≤ y ≤ 2
dx/dy = y³/2 − 1/(2y³)
Arc length is:
s = ∫ ds
s = ∫ √(1 + (dx/dy)²) dy
s = ∫₁² √(1 + (y³/2 − 1/(2y³))²) dy
s = ∫₁² √(1 + y⁶/4 − ½ + 1/(4y⁶)) dy
s = ∫₁² √(½ + y⁶/4 + 1/(4y⁶)) dy
s = ∫₁² ½ √(2 + y⁶ + 1/y⁶) dy
s = ∫₁² ½ √(y³ + 1/y³)² dy
s = ∫₁² ½ (y³ + 1/y³) dy
s = ½ (y⁴/4 − 1/(2y²)) |₁²
s = ½ (16/4 − 1/8) − ½ (1/4 − 1/2)
s = 33/16
The following information pertains to Mason Company for Year 2.
Beginning inventory 90 units at $40
Units purchased 310 units at $45
Ending inventory consisted of 30 units. Mason sold 370 units at $90 each. All purchases and sales were made with cash. Operating expenses amounted to $4,100.
What is the Net Income using FIFO, LIFO, and Weighted Average?
Answers
The net income using FIFO, LIFO, and Weighted Average methods are $16200, $12700, $14100.3
What is the Net IncomeTo calculate the net income using different inventory valuation methods, we need to calculate the cost of goods sold (COGS) first, which is:
COGS = Beginning Inventory + Purchases - Ending Inventory
For each inventory valuation method, we will calculate the COGS and then subtract it from the total sales to find the net income.
1.
FIFO (First-in, First-out) method:
Under the FIFO method, we assume that the units sold are from the earliest inventory purchased. Therefore, the ending inventory consists of the most recently purchased units.
a. COGS:
Beginning inventory: 90 units at $40 = $3,600
Purchases: 310 units at $45 = $13,950
Total cost of goods available for sale = $3,600 + $13,950 = $17,550
Cost of goods sold = Total cost of goods available for sale - Ending inventory
= $17,550 - 30 units at $45 = $16,200
b. Net Income:
Sales = 370 units at $90 = $33,300
COGS = $16,200
Operating expenses = $4,100
Net income = Sales - COGS - Operating expenses
= $33,300 - $16,200 - $4,100
= $13,000
2.
LIFO (Last-in, First-out) method:
Under the LIFO method, we assume that the units sold are from the most recently purchased inventory. Therefore, the ending inventory consists of the earliest purchased units.
a. COGS:
Beginning inventory: 90 units at $40 = $3,600
Purchases: 310 units at $45 = $13,950
Total cost of goods available for sale = $3,600 + $13,950 = $17,550
Cost of goods sold = (Ending inventory at $40) + (Remaining units sold at $45)
= (30 units at $40) + (340 units at $45)
= $1,200 + $15,300
= $16,500
b. Net Income:
Sales = 370 units at $90 = $33,300
COGS = $16,500
Operating expenses = $4,100
Net income = Sales - COGS - Operating expenses
= $33,300 - $16,500 - $4,100
= $12,700
3.
Weighted Average method:
Under the weighted average method, we calculate the average cost per unit and use it to value both the cost of goods sold and ending inventory.
a. Average Cost per unit:
Total cost of goods available for sale = Beginning inventory + Purchases
= $3,600 + $13,950
= $17,550
Total units available for sale = Beginning inventory + Purchases + Ending inventory
= 90 + 310 + 30
= 430
Average cost per unit = Total cost of goods available for sale / Total units available for sale
= $17,550 / 430
= $40.81
b. COGS:
Cost of goods sold = Units sold x Average cost per unit
= 370 units x $40.81
= $15,099.7
c. Net Income:
Sales = 370 units at $90 = $33,300
COGS = $15,111.70
Operating expenses = $4,100
Net income = Sales - COGS - Operating expenses
= $33,300 - $15,099.7 - $4,100
= $14,100.3
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You take a simple random sample of size 25 from a very large population in which the true proportion is p = 0.1. Which statement below best describes what you know about the sampling distribution of pˆ ?
answer choices
µ pˆ = 0.1; σ pˆ= √[(0.1)(0.9)/25] ; the distribution is skewed right.
µ pˆ = 0.1; σ pˆ= √[(0.1)(0.9)/25] ; the distribution is skewed left.
µ pˆ = 0.1; σ pˆ= √[(0.1)(0.9)/25] ; the distribution is approximately Normal.
µ pˆ = 0.1; we cannot use the formula σ pˆ = √[(0.1)(0.9)/25] ; the distribution is not approximately Normal.
µ pˆ = 0.1; we cannot use the formula σ pˆ = √[(0.1)(0.9)/25] ; the distribution is approximately Normal.
Answers
The correct statement is: µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is approximately Normal.
What is distribution?In statistics, a distribution refers to the way in which a set of data is spread out or distributed across its possible values. In other words, a distribution describes how frequently different values occur in a dataset.
Given by the question.
µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is skewed right.
µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is skewed left.
µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is approximately Normal.
µ pˆ = 0.1; we cannot use the formula σ pˆ = √ [(0.1) (0.9)/25]; the distribution is not approximately Normal.
µ pˆ = 0.1; we cannot use the formula σ pˆ = √ [(0.1) (0.9)/25]; the distribution is approximately Normal.
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PLEASE HELP ME IN ONE MINUTE WILL MARK BRAINLIST
Answers
I think I did this already it should be c
Which of the following ordered pairs does not lie on the graph of y=log_(2)^x? (1/2, -1) (0, 1) (1, 0)
Answers
Answer:
(0,1)
Step-by-step explanation:
I put it in desmos :)
Answer:
0,1
Step-by-step explanation:
Need help plz and thank u
Answers
Answer:
94 friends
Step-by-step explanation:
25/100 × 376
376 ÷ 100 = 3.76
3.76 × 25 = 94
Write this number in standard form 3 thousands, 16 tens,7 ones
Answers
Random simple service of voters were taken in three different regions of a county that has a voter population of 55,000. On average 42 out of 100 voters supported issue seven and 58 oppose it estimated number of voters in the county who support the issue.
Answers
Answer: 23100 voters
Step-by-step explanation:
42*55000=2310000
2310000/100=23100 voters
At the begining of last year, there were 368 students at the elementary school.By the beginning of this year,72 of those students had moved.About how many students started the school this year?
Answers
Answer:
296
Step-by-step explanation:
368-72
need some help with this :)
Answers
===========================================================
Explanation:
All direct variation equations are of the form y = kx, for some constant k.
We know that y = -8 and x = 4 pair up together. Let's use these two values to find k
y = kx
-8 = k*4
-8/4 = k
-2 = k
k = -2
Therefore, we go from y = kx to y = -2x
We can then find y when x = -4
y = -2x
y = -2*(-4)
y = 8
Answer:
y∝x
y=kx
k=y/x
by putting values
k=-8/4
k= -2
now ,if x= -4
as, y=kx
hence, y= (-2)(-4)
y=8
Step-by-step explanation:
Hellpppp!! Ik it’s so easy but I have a literal peanut brain
Answers
Answer:3 1/3
Step-by-step explanation:
It’s 3 1/3
which diagram below appears to show a pair of perpendicular lines Diagram A Diagram B Diagram C. Explain your Answer.
Answers
The answer for it is diagram B because it does not cross or have parallel lines
A group of people were asked how many people live in their household. How many said they have 3 or more in their household?
Answers
Answer:
11
Step-by-step explanation:
we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7
y=-0.024x^2+0.0791x+4.873
Answers
The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol
The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.
The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.
The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.
The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.
The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.
To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.
Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.
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Find the Value of Y.
Answers
The value of y in the triangle is 2√10 units.
How to find the side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
The value of y can be found using the similar triangle ratios as follows:
Hence,
8 / y = y / 5
cross multiply
y² = 8 × 5
y²= 40
square root both sides of the equation
y = √40
Therefore,
y = 2√10 units
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the perimeter of a triangle is 32 feet. One side of the triangle is 11 feet longer than the second side. The third side is 9 feet longer than the second side. Find the length of each side.
Answers
Answer:
One side - 15 feet
Second side - 4 feet
Third side - 13 feet
Step-by-step explanation:
Let's call the sides A B and C, respectively.
We know that:
A = B + 11
C = B + 9
and that
A + B + C = 32
Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.
A + B + C = (B + 11) + B + (B + 9) = 32
3B + 20 = 32
3B = 12
B = 4
The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).
Tell whether the relation is a function. Explain
Answers
A number cube is rolled. Event A is rolling an odd number, and event B is rolling a factor of 12. What is P(AU B)?
Answers
Explanation:
A = set of odd numbers = {1,3,5}
B = set of factors of 12 = {1,2,3,4,6}
A U B = union of set A and set B
A U B = {1,3,5} union {1,2,3,4,6}
A U B = {1,3,5, 1,2,3,4,6}
A U B = {1,2,3,4,5,6}
The set union operation combines two sets into one bigger set. Duplicates are tossed out.
There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.
Therefore, the probability event A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.
Side notes:
A U B can be read out as "event A or event B"; so P(A U B) is "the probability event A happens or B happens or both".A intersect B = {1,3} = values that are in both set A and set B at the same time. These are both odd and a factor of 12.find the measure of b
Answers
========================================================
Explanation:
Let's add angle c to the diagram such that it's adjacent to angle b, and inside the quadrilateral. Notice how angle c is opposite the 100 degree angle of this inscribed quadrilateral.
For any inscribed quadrilateral, the opposite angles are supplementary
c+100 = 180
c = 180-100
c = 80
Angles b and c are supplementary as well, because they form a straight line.
b+c = 180
b+80 = 180
b = 180-80
b = 100
In short, angle b is the same measure as that 100 degree angle in the diagram.
Step-by-step explanation:
Hi there!
From the above figure;
Let "x" be an unknown angle.
Then;
100° + X = 180°. { The opposite angles of cyclic quadrilateral is supplementary}
X = 180°-100°
Therefore, X= 80°.
Now;
X+b = 180°. {linear pair}
80° + b = 180°
Therefore, b = 100°.
[Next method:
b = 100° {When any side of cyclicquadrilateral is extended the external angle is equal to opposite interior angle.]
Hope it helps.
PLSSS HELP ME 14 POINTS
Answers
The transformation of f(x) to g(x) is :
Vertically compressed by a factor of 9Shifted down by 2 Describing the transformation of the functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x
g(x) = 1/9x - 2
The graph of the functions f(x) and g(x) are added as an attachment
And we have the transformations to be:
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