Answer:
B) a = - 3------------------
Multiply both sides by ax - 2 to clear fractions:
24x² + 25x - 47 = (ax - 2)(- 8x - 3) - 5324x² + 25x - 47 = - 8ax² - 3ax + 16x + 6 - 5324x² + 25x - 47 = - 8ax² - (3a - 16)x - 47Comparing both sides we can guess that -8a = 24 ⇒ a = - 3, then:
- (3*(-3) - 16) = - (- 9 - 16) = - (-25) = 25.We see both coefficients match, hence a = - 3 is a right choice.
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?
The diagram shows a square.
(6x - 1) cm
Find the length of the side of the square.
Your final answer must say, side = . . . cm
(4x + 6) cm
Cm=?
+
The length of the side of the square is given as follows:
20 cm.
How to obtain the side length of the square?In the figure, there are two expressions used to give the side length to each square, as follows:
6x - 1.4x + 6.In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:
6x - 1 = 4x + 6
2x = 7
x = 3.5 cm.
Then the side length of the square is obtained as follows:
6(3.5) - 1 = 20 cm.
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Use the graph of f(x) to find the solutions to the equation f(x)=0.
Answer:
x = -4, 7
Step-by-step explanation:
Pre-SolvingWe are given the graph of the function f(x), and we want to find the values that make the statement f(x) = 0.
f(x) = 0 means that there are certain values that make the value of f(x) (which can be considered as y) equal to 0.
SolvingWe can look to the graph to help us - we should look at where y is equal to 0, which is the x-axis.
On the x-axis, we can see that the function passes through both -4 and 7 (the graph goes up by 1) on that line.
As coordinate points, they are written as (-4,0) and (7,0).This means that when either -4 or 7 are substituted into the function (i.e. when they are equal to x), they will make the function equal 0.
So, it means that x = -4, 7.
A repair company's charge for repairing a certain type of copy machine fits the model
y = 55.42 +0.985x where y is the number of dollars charged and is the number of minutes the repair
person is on the job.
Solve the formula,
y = 55.42 +0.985x for x.
x= ?
Answer:
x=1y−56.263959
Step-by-step explanation:
y=55.42+0.985x
Step 1: Flip the equation.
0.985x+55.42=y
Step 2: Add -55.42 to both sides.
0.985x+55.42+−55.42=y+−55.42
0.985x=y−55.42
Step 3: Divide both sides by 0.985.
0.985x/0.985 = y−55.42/0.985
x=1.015228y−56.263959
What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.
In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.
Order-Preserving Function:
A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.
Increasing Function:
If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).
Isomorphism:
A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:
a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).
b. f is onto (surjective): Every element in Q has a pre-image in P.
When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.
Automorphism:
An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.
These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.
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Mme potatana ask the children to count as a whole class from 1 to 20 Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count. in your view support the method that you find important to enhance the strong number sense. Provide appropriate examples for your chosen method.
The method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.
In order to enhance strong number sense in children, there are various methods that can be used.
In the given scenario, Mme Potatana asked the children to count as a whole class from 1 to 20 while Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count.
Both methods have their own benefits, but the method of counting seeds by touching each can be more effective in enhancing strong number sense in children.
The method of counting seeds by touching each can be more effective in enhancing strong number sense in children because it allows them to experience each number physically.
This helps them in developing a strong sense of numbers. By touching each seed as they count, children can feel and see each number, which helps them in understanding numbers better. Additionally, it helps in developing the concept of one-to-one correspondence and counting by rote.
Here are some appropriate examples for enhancing strong number sense using the method of counting seeds by touching each:
1. Use counters: Provide children with counters such as small objects, blocks, or toys. Ask them to count the number of counters by touching each as they count.
2. Counting on fingers: Encourage children to count on their fingers. This helps them in developing a strong sense of numbers and helps them in understanding the concept of one-to-one correspondence.
3. Counting objects in a pile: Ask children to count objects in a pile by touching each as they count. This helps in developing the concept of counting by rote and helps in enhancing strong number sense.
Overall, the method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.
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how do you simplify (y+z)^3
Answer: y3+3y2z+3yz2+z3
Step-by-step explanation:
(y+z)3
=(y+z)*(y+z)*(y+z)
=(y+z)(y2+2yz+z2)
=(y)(y2)+(y)(2yz)+(y)(z2)+(z)(y2)+(z)(2yz)+(z)(z2)
=y3+2y2z+yz2+y2z+2yz2+z3
=y3+3y2z+3yz2+z3
1. Give the rule for translating a point 4 units left and 8 units up. (2 points)
2. After the translation, where is A located? (2 points)
2. After the translation, where is A located? (2 points) Now reflect the figure over the y-axis. Answer the questions to find the coordinates of A after the reflection. 3. Give the rule for reflecting a point over the y-axis. (2 points)
4. What are the coordinates of A after the reflection? (2 points)
5. Is the final figure congruent to the original figure? How do you know? (2 points)
The image of the original figure after the translation and reflection is congruent to the original figure.
Translation over a point is what?A particular type of transformation on the coordinate plane called translation keeps the size of the point or geometrical shape constant while only changing the position. Along the x-axis and y-axis in the coordinate system, the point or the figure can be moved in any direction, including up, down, right, left, and multiple directions.
1. By taking away 4 from the x-coordinate and adding 8 to the y-coordinate, we can translate a point 4 units left and 8 units up.
2. Point A after translation is situated at (-2, 9).
3. We negate the x-coordinate and leave the y-coordinate unaltered to indicate a point over the y-axis.
4. Point B is obtained by reflecting point A over the y-axis (2, 9).
5. Indeed, the resulting representation is consistent with the original figure since the rigid transformations of translation and reflection maintain angles and distances. As a result, the original figure's picture after translation and reflection corresponds to the original figure.
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The owner of a deli recorded the number of customers who ordered each of four sandwiches available if the deli has 50 customers the first hour it is open predict how many customers will order turkey sandwiches
The first hour there will be 18 costumers that will order Turkey sandwiches
Probability
First, we want to find the probability of having a costumer who choose Turkey sandwich.
In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.
Turkey sandwiches: 180
Total number of orders: 160 + 100 + 180 + 60 = 500
Ratio = turkey / total
Ratio = 180 / 500 = 0.36
Then, the probability of having a costumer who choose Turkey sanwich is
P(T) = 0.36 = 36%
Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:
Hence , the first hour there will be 18 costumers that will order Turkey sandwiches
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Please see screenshot.
Answer:
See below
Step-by-step explanation:
HELP THIS IS MY 2ND ATTEMPT
Answer:
8 1/10
Step-by-step explanation:
mark brainliest if correct
What is the solution to the equation below?
Answer:
X=4
Step-by-step explanation:
The solution is in the file
Philip has been experimenting with new recipes at his bakery for the past 8 months. This month, he tried a recipe for lavender vanilla muffins and gave samples to his customers. He asked them to rate the muffins on a scale of 1 to 10 stars. The median rating was 7 stars, and the interquartile range was 4 stars. ) What can you conclude from these data and statistics? Select all that apply. () No customer gave the muffins fewer than 8 stars. A typical rating for the muffins was 7 stars. The middle 50% of customer ratings had a range of 4 stars. Submit
Find x in the given figure.
Given f(x)=x^2−5x and g(x)=2x+1, find (f+g)(−3).
Answer:
19
Use the given functions to set up and simplify
Math help plzzzzzzzxysgzfrhfu
Answer:
d is answer i 100% sure for first
Answer:
A
Step-by-step explanation:
WILL GIVE BRAINLIEST
Peter is making new cushion covers for a chair. There are three sizes of
cushions on the chair. What is the surface area of the seat back cushion?
Answer:
C. 846 in.^2
Step-by-step explanation:
Look at the net.
There is one rectangle that is (21 + 3 + 21 + 3) inches long. Its length is 48 inches long. Its width is 15 inches.
There there are two small rectangles. Both are 3 inches wide and 21 inches long. The total length is (21 + 21) inches = 42 inches
total area = 48 in. * 15 in. + 42 in. * 3 in.
total area = 720 in.^2 + 126 in. * 3 in.
total area = 846 in.^2
A right triangle has the following measures. a = 3 and b = 4. what is the length of side c?
5
5.5
6
Answer:
5
Step-by-step explanation:
This is Pythagorean triple 3-4-5 or you can verify by plugging into Pythagorean Theorem:
\(3^2 + 4^2 = c^2\)
c = 5
What is 22.16345 rounded to the nearest ten thousandths place?
Answer:
22.164
Step-by-step explanation:
Answer:
22.1635
Step-by-step explanation:
Find the ten thousandth place and the look at the next number over. If it is 4 and below then keep the ten thousandth number the same and take off the hundred thousandth place. If it it is 5 or above then round the number up 1 place.
Can you please help me
Therefore the measure of angle 1 is 36°
What is the effect on the graph of f(x) = x2 when it is transformed to h(x) = 2 x2 + 15?
Answer:
B
Step-by-step explanation:
The effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)
Right shift by c units, y=f(x-c)(same output, but c units late)
Vertical shift
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given two functions, f(x) and h(x). Also, the function f(x) = x² is transformed to form h(x) = 2x² + 15. Therefore, we can write the transformation as,
f(x) vertically streched by a factor of2 first, Therefore,
g(x) = 2f(x)
= 2x²
Now, the function g(x) is moved up by 15 units, therefore,
h(x) = g(x) + 15
= 2x² + 15
Hence, the effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.
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An athletics coach states that the distribution of player run times (in seconds) for a 100-meter dash is normally distributed with a mean equal to 13.00 and a standard deviation equal to 0.2 seconds. What percentage of players on the team run the 100-meter dash in 13.28 seconds or faster
Answer:
\(P(X<13.28)=P(\frac{X-\mu}{\sigma}<\frac{13.28-\mu}{\sigma})=P(Z<\frac{13.28-13}{0.2})=P(z<1.4)\)
And we can find this probability using the normal standard distribution table and we got:
\(P(z<1.4) =0.919\)
And the percentage faster than 13.28 seconds would be 91.9%
Step-by-step explanation:
Let X the random variable that represent the runtimes of a population, and for this case we know the distribution for X is given by:
\(X \sim N(13,0.2)\)
Where \(\mu=13\) and \(\sigma=0.2\)
We want to find this probability:
\(P(X<13.28)\)
And we can use the z score formula given by:
\(z=\frac{x-\mu}{\sigma}\)
Using this formula we have:
\(P(X<13.28)=P(\frac{X-\mu}{\sigma}<\frac{13.28-\mu}{\sigma})=P(Z<\frac{13.28-13}{0.2})=P(z<1.4)\)
And we can find this probability using the normal standard distribution table and we got:
\(P(z<1.4) =0.919\)
And the percentage faster than 13.28 seconds would be 91.9%
PLEASE HELP MEE‼️‼️
Tell me which each 3 boxes should I pick for each one of them PLEASE READ them I beg (proportional relationships)
number one take the second
What is the image of (-8,-8)(−8,−8) after a dilation by a scale factor of \frac{1}{4} 4 1 centered at the origin?
We conclude that the image of (-8, -8), after a dilation by a scale factor of 1/4, is (-2, -2).
What is the image after the dilation?
For a point (x, y), a dilation by a scale factor of k gives the point (k*x, k*y).
Now, in this case, we have the point (-8, -8) and the scale factor is k = 1/4.
Then, using the above relation, we can write the coordinates of the image after the dilation as:
(-8*(1/4), -8*(1/4)) = (-2, -2).
We conclude that the image of (-8, -8), after a dilation by a scale factor of 1/4, is (-2, -2).
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x-3 / 4 = x/2
please shows the steps :)
\(\\ \rm\longmapsto \dfrac{x-3}{4}=\dfrac{x}{2}\)
\(\\ \rm\longmapsto 2(x-3)=4x\)
\(\\ \rm\longmapsto x-3=\dfrac{4x}{2}\)
\(\\ \rm\longmapsto x-3=2x\)
\(\\ \rm\longmapsto x-2x=3\)
\(\\ \rm\longmapsto -x=3\)
\(\\ \sf\longmapsto x=-3\)
PLZ HELP FAST (15 points)
Answer:
MORE
Step-by-step explanation:
hope this helps can I have brainliest
Solve for c .
4c-3x=2y-3
\(\bf\huge Question:\)
\(4c-3x=2y - 3\)
We need to find the value of c in the given Equation.
\(\bf\huge \: Solution:\)
\( \sf \longmapsto \: 4c-3x=2y - 3\)
\( \boxed{\bf Add \: 3x \: to \: both \: sides:}\)
\(\sf \longmapsto \: 4c - 3x + \red{ 3x} = 2y - 3 + \red{ 3x}\)
\( \underline{\bf \: \bf On \:Simplification :}\)
\(\sf \longmapsto \: 4c = 2y - 3 + 3x\)
\(\sf \longmapsto4c = 3x + 2y - 3\)
\( \boxed{\bf \: Divide \: both \: side s \: by \: 4 :} \)
\(\sf \longmapsto \: \dfrac{4c}{ \red4} = \dfrac{3x + 2y - 3}{ \red4} \)
\(\underline{ \bf \: \bf On \:Simplification :}\)
\( \sf \longmapsto \: c = \dfrac{3}{4} x + \dfrac{1}{2} y + \dfrac{ - 3}{4} \)
______________________________________
\( \underline{\bf \: Henceforth, The \: value \: of \: c \: is :} \)
\( \boxed{\red{\huge \tt{{c}}= \dfrac{3}{4} x + \dfrac{1}{2} y + \dfrac{ - 3}{4} }}\)
Or it can also be rewritten as :
\( \boxed{\red{\huge \tt \: c = \dfrac{1}{2} y - \dfrac{3}{4} + \dfrac{3}{4} x}}\)
Pls hurry I’m being timed
Answer:
its B
Step-by-step explanation: its the only "division" thing. and 15-14 is 1 not 2 so its B
{V49 + [V81 - x 9x - 14)]}
The solution is, the simplification of the expression is:
{16 - 9x^2 + 14x}
Here, we have,
given that,
the expression:
{√49 + [√81 - x (9x - 14)]}
now, we have to simplify this expression:
{√49 + [√81 - x (9x - 14)]}
={7 + [9 - x (9x - 14)]}
={7 + [9 - 9x^2 + 14x]}
={7 +9 - 9x^2 + 14x}
={16 - 9x^2 + 14x}
Hence, The solution is, the simplification of the expression is:
{16 - 9x^2 + 14x}
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PLEASE HELP ME ANSWER THIS QUESTION ASAP!!
Answer:
7z + 17
Step-by-step explanation:
Like terms
All the numbers without letters are like terms
All the numbers with letters are like terms
Since we have 2 numbers without letters, we'll combine those.
15 + 2 = 17
Since there's only one number with letters, we can keep it the same since there's no others to combine it with
7z + 17