Answer:
D.) y = -1/4x - 6 and y = 4x + 11
Step-by-step explanation:
If two lines are perpendicular, that means that their slopes are opposite reciprocals, or that the product is equal to -1. -1/4 times 4 is -1, so they are perpendicular.
Dee’s Catering Budget vs. Actual Comparison for December 2010
a. What is the variance (dollar and percent) in Dee’s total cost of sales for the month of December? Answer: $32,051 and 12.8%
b. To what do you attribute the variance in Dee’s total cost of sales for December?
c. What is the variance (dollar and percent) in Dee’s salaries and wages for the month of December? Answer: $6,100 and 15.7%
d. To what do you attribute the variance in Dee’s salaries and wages for December?
e. What is the variance (dollar and percent) in Dee’s marketing expenses for the month of December? Answer: $-1.050 and -87.5%
f. What advice would you give Dee regarding her marketing expense variance?
I need help with answering these questions. Letter B, D, and F.
Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
We have ,
Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.
The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.
Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.
Hence, Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
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complete question:
A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?
b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?
d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?
e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?
f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?
g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?
2x + 2 = 5x -8 simplify
Find the original slope of (-6,-1) and (0,3)
Answer:
slope (m) = 2/3
Step-by-step explanation:
slope = change in x /change in y
Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:
slope = 3 - (-1) / 0 - (-6)
= 3 + 1 / 0 + 6
= 4 / 6
= 2/3
∴ slope(m) = 2/3
What is the answer for this ?
Answer:
B. (-2,2)
Step-by-step explanation:
Simply find the point where it intersects, this would be your solution.
HELP ASAP I HAVE ONLY A COUPLE MINUTES!!!!!
Adela, Tony, Pang, and Ruben are all in 6th grade. Their average age is 11 years old. The list shows the difference from average for each.
Age Difference
Adela: 0.75 year
Tony: 11
10
years
Pang: –0.8 year
Ruben: -1
2
year
Which lists shows the values of the differences ordered from least to greatest?
Adela, Tony, Pang, Ruben
Adela, Pang, Ruben, Tony
Pang, Ruben, Adela, Tony
Tony, Adela, Ruben, Pang
Answer:
I think it would be the second one or last one
Answer:
Pang, Ruben, Adela, and Tony is the correct answer
Step-by-step explanation:
You're welcome~
The Martin family and the Kelly family each used their sprinklers last summer. The water output rate for the Martin family's sprinkler was 30L per hour. The water output rate for the Kelly family's sprinkler was 35L per hour. The families used their sprinklers for a combined total of 60 hours resulting in a total water output of 1925L. How long was each sprinkler used?
Answer:
The Martins used their sprinkler for 35 hours, while the Kellys used their sprinkler for 25 hours.
Step-by-step explanation:
As the Martins and the Kellys used their sprinklers for 60 hours combined last summer, and the water output rate of the Martins' sprinkler is 30 liters per hour, while the Kelly's is 35 liters per hour To determine how many hours each family used their sprinklers, knowing that in total 1925 liters of water were used, the following logical reasoning must be carried out:
There is a 5 liter difference between the Kelly sprinkler and the Martin sprinkler. If both used 30 liters of water per hour, for 60 hours 1800 liters (30 x 60) would have been used. Therefore, there is an excess of 125 liters that corresponds to an excess of consumption, attributable to the Kelly sprinkler, which consumes 5 liters more of water per hour than the Martin's. Thus, since 125/5 equals 25, in total the Kellys used their sprinkler for 25 hours, while the Martins did it for 35 hours.
This reasoning is proved with the following calculation:
25 x 35 = 875
35 x 30 = 1,050
875 + 1,050 = 1,925
At a local baseball game, the concession stand has two different meal choices. You can get 5 hotdogs and 4 drinks for $15.50 or you can get 6 hotdogs and 3 drinks for $15.00. If the price of hotdogs and drinks is the same for each meal, find how much it costs for an individual hotdog and an individual drink.
per hordog =
per drink=
Answer: Hot Dog $1.50 Drinks $2.00
Step-by-step explanation:
) Find the image of P(-5,2) after two transformations; first reflection over the y axis and thenrotated 90 counter clockwise about the origin.P'P”
Explanation
Step 1
The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the y-value the same
\(A(x,y)\rightarrow A^{\prime}(-x,y)\)then
\(P(-5,2)\rightarrow P^{\prime}(-(-5).2)\rightarrow P^{\prime}(5,2)\)Step 2
then
rotated 90 counter clockwise about the origin.
When rotating a point 90 degrees counterclockwise about the origin our point P(x,y) becomes P'(-y,x). In other words, switch x and y and make y negative
\(\begin{gathered} P(x,y)\rightarrow P(-y,x) \\ \end{gathered}\)then
\(\begin{gathered} P^{\prime}(5,2)\rightarrow P^{\prime}^{\prime}\text{ (-2,5)} \\ P^{\prime\prime}\text{ (-2,5)} \end{gathered}\)I hope this helps you
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Discuss where you see math in the real world, including mathematical vocabulary.
Answer:
you could use it in your job, you use math to d taxes.
Step-by-step explanation:
Write a polynomial of degree 3 that satisfies each of the given conditions.
Is factorable
Can be factored by grouping
Answer:
hey i hope this helps u !!!
Step-by-step explanation:
HELPPPP ASAPP
The number of chapters read, y, after x days. The slope of the line is 5/4 and the y-intercept is 2. The slope of 5/4 means that....
A. Every 4 days, you read 5 chapters
B. Every 5 days you read 4 chapters
C. You started on chapter 4 out of 5 chapters
Is 13/ 4 the same as 3 1/4 ? Explain your answer in complete sentences.
Answer:
no it is not the same.
Step-by-step explanation:
it is not the same because 13/4 is smaller than 3/14. 3 1/4 includes a whole number, and 13/4 doesn't.
20 points! Pls help! Will mark brainliest!
Answer:
2x
Step-by-step explanation:
the absolute value will always be positive so the question comes down to 'x + x', which is 2x
I'm a little confused.
(2y+14.6+3.8)-(34.8m+15.6+2y)
Answer:
5.6
Step-by-step explanation:
You most likely will end up putting it in slope form y=mx+b
(2y+14.6+3.8)-(34.8m+15.6+2y) collect like terms
(2y+18.4)-(34.8m + 15.6 + 2y) = 2.8 + 34.8m
2y-2y= 0
18.4 - 15.6= 2.8
34.8m -0 = 34.8m
2.8 + 34.8m ( I think we should further simplify)
so minus 2.8 on both sides
34.8m = -2.8(divide by 34.8 on both sides)
m = -7/87
Plug in
(2y+14.6+3.8)-(34.8(-7/87)+15.6+2y) collect like terms
(2y+18.4)-(-2.8 + 15.6 + 2y) collect like terms
(18.4)-(12.8)= 5.6
2y-2y = 0
34.8(-7/87)= -2.8
18.4 - 12.8 = 5.6
The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the given set.
With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.
What is the Venn diagram?A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.
Circles that overlap share certain characteristics, whereas circles that do not overlap do not.
Venn diagrams are useful for showing how two concepts are related and different visually.
When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.
Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.
So, we need to find:
A ∪ B
Now, calculate as follows:
The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:
8 + 7 + 14 + 6 + 1 + 8 = 44
n(A∪B) = 44
Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.
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How many sentences does 2 pharaohs have?
Answer ASAP
There are about 3-8 paragraphs in one sentence, so about 6 to 16 paragraphs in total.
I have 12 coins x of them are R5 coins and the rest are R1 coins. An expression in the in terms of x for the number of R1 coins I have is
Answer:
ans= 12-x=r1 coin...
Step-by-step explanation:
hope u can do..
IXL Please Help Fast!
Answer:
Step-by-step explanation:
should be both line GJ and JK as well as line HK and JK
Which expression is equivalent to this quotient 6/28x+4 divided by 12/35x+5
Answer:
5/8
Step-by-step explanation:
multiply by the reciprocal and follow the steps i provided
The ratio of the weight of an object on Planet A to the weight of the same object on Planet B is 100 to 3. If an elephant weighs 2400 pounds on Planet A, find the elephant's weight on Planet B.
The weight of the elephant on planet B given the ratio of the weights on planet A an B is 72 pounds.
What is the weight of the elephant on Planet B?Ratio is used to compare two or more quantities together. It shows the number of times that one quantity is contained in another quantity. In this question, the weight of the elephant on Planet B is 100/3 times that of Planet A.
In order to determine the weight of the elephant on Planet B, multiply the ratio of the weight in planet B by the weight in Planet A and divide by the ratio of weight in planet A.
Weight in Planet B = (3 x 2400) / 100 = 72 pounds
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Mr. Chen writes the expression 4 ×
(
7
−
2
)
2
÷ 10 on the
board. evaluate the expression
Answer:
4*(7-2)2÷10
=4*5*1/5
=20/5
=4
Step-by-step explanation:
sam goes to lunch with a friend. the total cost of the lunch is $15 . sam leaves $1.50 as a tip. what percent of total did he tip
He tip the total number of 10 percent.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is \(\dfrac{a}{100} \times b\)
We are given that sam goes to lunch with a friend. the total cost of the lunch is $15 . sam leaves $1.50 as a tip.
therefore, the percent will be;
1.50 /15 x 100 = 150/15
= 10%
The decimal moves one space (which would be equal to a tenth) .
Hence, It should be a 10% tip.
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What is 1.8 added 8 times? (IF YOU CAN PLS DO IT IN EXPLANATION) and this is about decimals and pls do it in grade five type, bc I won't be able to understand anything too big for me, example: (e^(4^(2)
Thank you
Answer:
It simply is the product between 8 and 1.8 so 14.4, as anything added to himself n times is equal to the product between the number and n.
In fractions:
1.8 = 18/10 = 9/5
8·(9/5) = 72/5
If we add 1.8 for 8 times we will get the resulted value in decimal form as 14.4.
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
It is given that we have to add 1.8 for 8 times. We know that if a number is added n number of times that meant we to multiply that number by n.
Here , addition of 1.8 for 8 times will be equal to product of 8 and 1.8.
As required we have to express the result in decimal form. So,
Addition of 1.8 for 8 times is :
1.8 + 1.8 + 1.8 + 1.8 + 1.8 + 1.8 + 1.8 + 1.8
= 14.4
Let's check if this is equal to product of 8 and 1.8 which is :
= 1.8 × 8
= 14.4
So , the result is 14.4.
Therefore , if we add 1.8 for 8 times we will get the resulted value in decimal form as 14.4.
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In KLM, KM is extended through point M to point N,
(3x +19)°, m/LMN = (7x + 5)°, and
m/KLM = (2x+8)°. What is the value of x?
The value of the variable "x" is 11.
We have a triangle. The vertices of the triangle are K, L, and M. The side KM is extended from point M to point N. The measures of the angles MKL, LMN, and KLM are (3x + 19)°, (7x + 5)°, and (2x + 8)°, respectively. We need to find out the value of the variable "x".
The angles LMK and LMN form a linear pair. It means they are supplementary angles. The sum of the angles is 180°.
∠LMK + ∠LMN = 180°
∠LMK + (7x + 5)° = 180°
∠LMK = 180° - (7x + 5)°
In the triangle KLM, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.
∠K + ∠L + ∠M = 180°
(3x +19)° + (2x + 8)° + [180° - (7x + 5)°] = 180°
3x +19 + 2x + 8 + 180 - 7x - 5 = 180
-2x + 22 = 0
2x = 22
x = 11
Hence, the value of the variable "x" is 11.
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A statistics tutor wants to assess whether her remedial tutoring has been effective for her five students. She decides to conduct a related samples t-test and records the following grades for students prior to and after receiving her tutoring.
Tutoring
Before After
2.4 3.1
2.5 2.8
3.0 3.6
2.9 3.2
2.7 3.5
Test whether or not her tutoring is effective at a 0.05 level of significance. State the value of the test statistic. (Round your answer to three decimal places.)
t =
Compute effect size using estimated Cohen's d. (Round your answer to two decimal places.)
d =
Answer:
The test statistic value is, t = -5.245.
The effect size using estimated Cohen's d is 2.35.
Step-by-step explanation:
A paired t-test would be used to determine whether the remedial tutoring has been effective for the statistics tutor's five students.
The hypothesis can be defined as follows:
H₀: The remedial tutoring has not been effective, i.e. d = 0.
Hₐ: The remedial tutoring has been effective, i.e. d > 0.
Use Excel to perform the Paired t test.
Go to Data → Data Analysis → t-test: Paired Two Sample Means
A dialog box will open.
Select the values of the variables accordingly.
The Excel output is attached below.
The test statistic value is, t = -5.245.
Compute the effect size using estimated Cohen's d as follows:
\(\text{Cohen's d}=\frac{Mean_{d}}{SD_{d}}\)
\(=\frac{0.54}{0.23022}\\\\=2.34558\\\\\approx 2.35\)
Thus, the effect size using estimated Cohen's d is 2.35.
If A, dollars are invested at annual interest rate r, compounded
monthly, then after years the account will have grown to
121
A(t) = 40 (1
10 (1 + )"
12
If $2000 is placed into an account eaming 12% annual
interest, compounded monthly, how much will it grow to after
15 years?
Answer:
$11,991.60
Step-by-step explanation:
An appropriate formula is ...
A = P(1 +r/n)^(nt)
where r is the annual rate, n is the number of time per year interest is compounded, and t is the number of year. P is the principal invested.
Filling in the given numbers, we have ...
A = $2000(1 +0.12/12)^(12·15) = $2000(1.01^180) ≈ $11,991.60
The account balance after 15 years will be $11,991.60.
lying Addition and Subtraction of Integers
A bus makes a stop at 2:30, letting off 15 people and letting on 9. The
bus makes another stop ten minutes later to let off 4 more people.
How many more or fewer people are on the bus after the second stop
compared to the number of people on the bus before the 2:30 stop?
After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.
Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.
Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.
Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.
Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.
Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.
Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.
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The equation y = 0.7x represents the distance Henry hikes in miles over time in hours. The graph represents the rate that Clark hikes. Determine which hiker is faster. Complete the explanation.
Answer:
Henry’s unit rate is 0.7 miles per hour. Clark’s unit rate is 1.5 miles per hour . So, Ckark is faster.
Step-by-step explanation:
Distance covered by Henry is represented by y = 0.7x, where x = time (hrs), and y = distance (miles).
Distance covered in 1 hour by Henry would be:
y = 0.7(1) = 0.7 miles per hour
Distance covered by Clark in 1 hour = 1.5 miles per hour
Ckark covers more miles per hour than Henry covers in one hour, therefore, Ckark is faster.
Hope this helped!
Have a wonderful day!
Ethan went bowling on Saturday night. His scores were 128, 97, 123, and 108. What was his average score for the night?
Answer:
\(114\)
Step-by-step explanation:
\(97+108+123+128=456\)
\(\frac{456}{4} = 114\)