Just cakey settled their account with cash receiving a 3. 5% cash discount
Just Cakey settled their account with cash and received a 3.5% cash discount.
A cash discount is a percentage reduction in the amount owed when the payment is made in cash. In this case, Just Cakey received a 3.5% cash discount. To calculate the cash discount amount, we need to multiply the total amount by the discount rate. Let's assume the total amount owed by Just Cakey was $1,000.
Cash discount = Total amount owed x Discount rate
Cash discount = $1,000 x 0.035
Cash discount = $35
Therefore, Just Cakey received a cash discount of $35 by paying in cash.
By settling their account with cash and receiving a 3.5% cash discount, Just Cakey saved $35 on their payment. Cash discounts are offered to encourage customers to pay promptly and in cash, helping businesses improve their cash flow and reduce outstanding receivables. By taking advantage of this cash discount, Just Cakey demonstrated their financial efficiency and gained a cost-saving benefit. Paying in cash can be beneficial for both customers and businesses, as it allows for easier and quicker transactions while providing an opportunity to reduce the overall amount owed.
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Marc sold 464 tickets for the school play. Student tickets cost $4 and adult tickets cost 6$. Marc's sales totaled $2278. How many adult tickets and how many student tickets did Marc sell? (Only give me the 2 statements of equality).
We can conclude after answering the provided question that As a result, variable the two equality statements are: x+y=4644x+6y= 2278
What is a Variable?A variable is something that can be altered in the context of a mathematical concept or experiment. Variables are frequently denoted by a single symbol. The characters x, y, and z are frequently used as generic variables symbols. Variables are characteristics with a wide range of values that can be examined. Size, age, money, where you were born, academic status, and type of housing are just a few examples. Variables can be classified into two major groups using both numerical and categorical methods.
Let's use variables "x" and "y" to represent the number of student and adult tickets sold.
Statement 1: "Marc sold 464 school play tickets."
This means that 464 tickets were sold in total:
x + y = 464
Statement 2: "Marc's total sales were $2278."
This equates to a total revenue of $2278 from ticket sales:
4x + 6y = 2278
As a result, the two equality statements are:
x+y=4644x+6y= 2278
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HELP and please explain it
Answer:
SAS, ASA, SSS, ASA, Yes
Step-by-step explanation:
PLEASE ANSWER ASAP
1. How many atoms are present in 8.500 mole of chlorine atoms?
2. Determine the mass (g) of 15.50 mole of oxygen.
3. Determine the number of moles of helium in 1.953 x 108 g of helium.
4. Calculate the number of atoms in 147.82 g of sulfur.
5. Determine the molar mass of Co.
6. Determine the formula mass of Ca3(PO4)2.
IT WOULD BE HELPFUL
The number of atoms present in 8.500 mole of chlorine atoms can be calculated using Avogadro's number, which is 6.022 x \(10^{23}\) atoms per mole. Therefore:
Number of atoms = 8.500 mole x 6.022 x \(10^{23}\)atoms/mole
Number of atoms = 5.1177 x \(10^{24}\) atoms
Find out the mass (g) of 15.50 mole of oxygen?The mass of 15.50 mole of oxygen can be calculated using the molar mass of oxygen, which is 16.00 g/mol. Therefore:
Mass = 15.50 mole x 16.00 g/mole
Mass = 248 g
The number of moles of helium in 1.953 x \(10^{8}\) g of helium can be calculated using the molar mass of helium, which is 4.00 g/mol. Therefore:
Number of moles = 1.953 x \(10^{8}\) g / 4.00 g/mol
Number of moles = 4.883 x \(10^{7}\) mol
The number of atoms in 147.82 g of sulfur can be calculated using the molar mass of sulfur, which is 32.06 g/mol, and Avogadro's number. Therefore:
Number of moles = 147.82 g / 32.06 g/mol
Number of moles = 4.608 mol
Number of atoms = 4.608 mol x 6.022 x \(10^{23}\) atoms/mol
Number of atoms = 2.773 x \(10^{24}\) atoms
The molar mass of Co (cobalt) is 58.93 g/mol.
The formula mass of Ca3(PO4)2 can be calculated by adding the atomic masses of each element in the compound. The atomic masses are:
Ca = 40.08 g/mol
P = 30.97 g/mol
O = 16.00 g/mol
Formula mass = (3 x Ca) + (2 x P) + (8 x O)
Formula mass = (3 x 40.08 g/mol) + (2 x 30.97 g/mol) + (8 x 16.00 g/mol)
Formula mass = 310.18 g/mol
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i will give brainliest what is 2x+5/3 = 11
Answer:x= 14/3 or 4 1/2
Step-by-step explanation:
Answer: x = \(\frac{14}{3}\)
2x + 5 / 3 = 11
=> 2x + \(\frac{5}{3}\) = 11
2x = 11 - \(\frac{5}{3}\)
2x = \(\frac{33}{3}\) - \(\frac{5}{3}\)
2x = \(\frac{28}{3}\)
=> x = \(\frac{28}{3}\) / 2
x = \(\frac{28}{3}\) x \(\frac{1}{2}\)
x = \(\frac{28}{6}\)
x = \(\frac{14}{3}\)
SO x = \(\frac{14}{3}\)
HOPE IT HELPS ^^
you can buy 5 cans for green beans at the village market for $2.40. You can buy 10 of the same.m cans of beans at Sam’s club for $5.50. Which place is the better buy
Answer:
Village
Step-by-step explanation:
2*2.4=4.8<5.5
Answer: the first one the village market
Step-by-step explanation:
if you were to divided $2.40 by 5 it would equal $ .48 on the other hand $5.50 divided by 10 would equal $.55 thats why the village market choice is better because it is $.48 per can.
What value of c makes x2 6x c a perfect square trinomial? c = if x2 6x c = (x d)2, then d = .
The value of 'c' and 'd' are 9 and 3 respectively in the given equation \(\rm\rm x^2+6x+c= (x+d)^2\)
It is given that the quadratic expression \(\rm x^2+6x+c\)
It is required to find the value of c to make the above expression a perfect square.
What is a quadratic equation?A quadratic equation is a second-degree algebraic equation represented by the:
\(\rm Ax^2+Bx+C=0\) ........(1)
Where A, B, and C are the constants and \(\rm A\neq 0\)
We have a quadratic expression:
\(\rm x^2+6x+c\)
To make the above expression a perfect square the value of c will be:
\(\rm c = (\frac{B}{2A} )^2\) where B = 6, and A = 1
\(\rm c = (\frac{6}{2\times1} )^2 \Rightarrow 9\)
If \(\rm\rm x^2+6x+c= (x+d)^2\)
\(\rm\rm x^2+6x+c= x^2+2dx+d^2\) put the value of 'c', we get:
\(\rm\rm x^2+6x+9= x^2+2dx+d^2\)
By comparing both sides, we get:
2d = 6 (Coefficient of the x)
d = 3
Thus, the value of 'c' and 'd' are 9 and 3 respectively in the given equation \(\rm\rm x^2+6x+c= (x+d)^2\)
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What value of c makes x2 + 6x + c a perfect square trinomial?
-------------------
c =
✔ 9
-------------------
If x2 + 6x + c = (x + d)2, then
-------------------
d =
✔ 3
-------------------
Solve the given polynomial by factoring. Check all answers that are correct.
f(y) = 3y^3 + y^2 + 9y + 3
A) y = 1/3
B) y = i√3
C) y = 3
D) y = -3
E) y = -1/3
F) y = ±i√3
solve this equation for x: 3x+4x+x+16
Answer:
x = 2
Step-by-step explanation:
solve this equation for x: 3x+4x+x=16
3x + 4x + x = 16
7x + x = 16
8x = 16
x = 16 : 8
x = 2
----------------------
check3 × 2 + 4 × 2 + 2 = 16 (remember PEMDAS)
6 + 8 + 2 = 16
16 = 16
same value the answer is good
Describe the transformation that moved Figure A to Figure B?
A) Reflect over the x-axis
B) Reflect over the y-axis
C) Rotate 90 degrees clockwise about the origin
D) Rotate 180 degrees about the origin
Answer:
D
Step-by-step explanation:
Its kinda hard to explain but its the answer
A gift box in the shape of a rectangular prism has 20-inch length, 14-inch width, and 10-inch height. How much paper will you need to wrap the gift box?
Answer:
1240 in²Step-by-step explanation:
Total surface area:
S = 2(lw + lh + wh)S = 2(20*14+20*10+14*10) = 1240 in²So
TSA
2(LB+BH+LH)2(20×14+14×10+10×20)2(280+140+200)2(620)1240in²An investment adviser has determined that ABCD stock would be an appropriate investment for his client, but only if the price falls from the current level of $50 per share to $35 per share. What MUST the adviser do prior to placing an order to buy ABCD stock for the client's account
Prior to placing an order to buy ABCD stock at a lower price, the investment adviser must conduct thorough research and analysis, set a target price, and determine an appropriate entry point for the purchase.
The investment adviser's primary responsibility is to act in the best interest of their client and make informed investment decisions. In this case, where the adviser believes ABCD stock is appropriate only if the price falls to $35 per share, several steps need to be taken before placing an order.
Firstly, the adviser should conduct comprehensive research on ABCD stock to understand its historical performance, financial health, industry trends, and any relevant news or events that might impact its future prospects. This research will help validate the adviser's belief that the stock is worth considering at a lower price.
Secondly, the adviser should establish a target price of $35 per share based on their analysis and the client's investment objectives. This target price serves as a reference point and provides a clear criterion for initiating the purchase.
Lastly, the adviser needs to identify an appropriate entry point for the purchase. This involves monitoring the stock's price movements and market conditions closely. The adviser may choose to set a limit order at $35 per share or implement a strategy to take advantage of potential price declines, such as dollar-cost averaging.
By following these steps, the investment adviser ensures that they have thoroughly evaluated the investment opportunity and have a plan in place before placing an order to buy ABCD stock for the client's account.
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brad wants to buy flowers for his friend with $39. The daisies are $1 each and the roses are $3 each. he buys 3 more daisies than roses. how much did the roses cost
Answer:9 roses
12 daisies
Step-by-step explanation:
A parcel of land contains 80 acres. A developer has reserved 25% of the land for streets and green space. Applicable zoning regulations require a minimum of 9,500 square feet per residential lot. The number of permissible lots is
The developer can build a maximum of 275 residential lots on the land, given the zoning regulations and the reservation of 25% of the land for streets and green space.
First, we need to find out how much land the developer has reserved for streets and green space:
25% of 80 acres = 0.25 x 80 = 20 acres
Now, we need to subtract this from the total area to get the area available for residential lots:
80 acres - 20 acres = 60 acres
Next, we need to convert the area into square feet:
60 acres x 43,560 square feet/acre = 2,613,600 square feet
Finally, we can divide the available area by the minimum required area per lot to find the maximum number of permissible lots:
2,613,600 square feet ÷ 9,500 square feet/lot ≈ 275 lots
Therefore, the developer can build a maximum of 275 residential lots on the land, given the zoning regulations and the reservation of 25% of the land for streets and green space.
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Assuming that there are no hidden cubes, what is the front orthographic view of the diagram?
Answer:
the visible number of cubes is 7
Step-by-step explanation:
Assuming that there are no hidden cubes, the # of visible cubes is 7
Can you help me please.
Answer:
y = -1x - 2/2
Step-by-step explanation:
Slope is -1
B = 2/-2
Answer:
y = x - 4
Step-by-Step Explanation:
Perpendicular lines have slopes that are negative reciprocals—multiplying their slopes result in -1.
Given the slope of a line m = -1, then it means that the slope of the other line must be 1 (because multiplying the slope of line 1 (m1 = -1), and the slope of the other line (m2 = 1) results in: -1 × 1 = -1).
Therefore, given the slope of line 2 (m2 = 1), and the point (2, -2), we could plug these values into the slope-intercept form and solve for the y-intercept (b):
y = mx + b
-2 = 1(2) + b
-2 = 2 + b
Subtract 2 from both sides to solve for b:
-2 - 2 = 2 - 2 + b
-4 = b
Therefore, the y-intercept (b) = -4.
Hence, the equation of the perpendicular line is: y = x - 4
Please mark my answers as the Brainliest if you find my explanation helpful :)
I need help please:)
Answer:
all values of x make the equation true
Step-by-step explanation:
Kendra's working is correct. The equation is a tautology. It is true for all values of x.
I need help finding this
There is a distance marker every 100 m and a pole every 80 m along a straight road. There is a distance marker and a pole together at the start of the road. How far along the road will there be a distance marker and a pole together again?
Answer:
At a distance of 400 m.
Step-by-step explanation:
From the information in the given question, a distance marker and pole are together at the start of the road.
Thus,
the distance marker would mark the road 100 m, 200 m, 300 m, 400 m, 500 m etc.
Also,
the pole would be located 80 m, 160 m, 240 m, 320 m, 400 m, 480 m etc.
Comparing the distance of location of the marker and pole, it would be observed that the next location where the two would be together is 400 m from the starting point.
Therefore, there would be a distance marker and a pole together at 400 m from the stat of the road.
whats 10 times 10? also 6 times 6
Answer:
10 x 10 = 100
6 x 6 = 36
:)
Answer:
10*10=100 | 6*6=36
Step-by-step explanation:
Well, 100/10=10
36/6=6
--------------
10+10+10+10+10+10+10+10+10+10=50+50=100
6+6+6+6+6+6=18+18=36
If you drive 45 miles and have 15 gallons of gas remaining in your tank. Then you continue driving, and calculate that after driving 153 miles you have 11 gallons left. What is your rate?
Rate at which the car is moving is 27 miles per gallon.
If we plot gallons of gas remaining in the tank at x-axis and miles driven on y-axis, points will form a linear graph.
After driving 45 miles, 15 gallons of the gas remaining in the tank will represent a point (15, 45).
Similarly, after 153 miles gas,11 gallons of the gas remaining in the tank will form a point (11, 153).
Slope of the line joining these points will represent the rate.
Therefore, slope of the line = \(\frac{y_2-y_1}{x_2-x_1}\)
= \(\frac{153-45}{15-11}\)
= 27 miles per gallon
Hence, rate at which the car is moving is 27 miles per gallon.
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PLSSS HELPPPPPP :(((((
Answer:
Step-by-step explanation:
y+11<30
subtract 11 from both sides
y+11-11<30-11
y< 19
choice A
Step-by-step explanation:
y + 11 < 30 Original inequality
y + 11 - 11 < 30 - 11 Isolating the variable
y < 19 The answer / Simplification
The answer is A, I hope this helps!!!
HELP ASAP
How much water do you add to make each concentration?
1% sugar syrup using 12 g sugar
Answer:
its 1188
Step-by-step explanation:
9. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!
Write a rule for the linear function shown in the graph.
A. y = -x + 4
B. y = 4x - 3
C. y = 1/4x + 1
D. y = 2x + 5
Answer:
D. y - 2x + 5 ........................... I graphed every answer and this is the one that looks the same to yours
Step-by-step explanation:
Input Data :
x1 = 2, y1 = 4, x2 = 3, x3 = 7, y3 = 8
Objective :
Find the value of y2 on a given line?
Formula :
y2 =
(x2 - x1) x (y3 - y1)
(x3 - x1)
+ y1
Solution :
y2 =
(3 - 2) x (8 - 4)
(7 - 2)
+ 4
=
(1) x (4)
(5)
+ 4
=
4
5
+ 4
= 0.8 + 4
y2 = 4.8
The mean number of hours worked for the 30 males was 6, and for the 20 females was 9. The overall mean number of hours worked is, A. Cannot be determined. B. 7.2 hours C. 7.5 hours D. 6.5 hours
Answer:
B
Step-by-step explanation:
The overall mean number of hours worked can be determined by calculating the weighted average of the means for males and females, taking into account the sample size as weights.
Given:
X₁ = 6 (mean number of hours worked for males)
X₂ = 9 (mean number of hours worked for females)
n₁ = 30 (sample size for males)
n₂ = 20 (sample size for females)
The overall mean number of hours worked, denoted as X, can be calculated as follows:
X = (X₁ * n₁ + X₂ * n₂) / (n₁ + n₂)
Plugging in the given values:
X = (6 * 30 + 9 * 20) / (30 + 20)
X = (180 + 180) / 50
X = 360 / 50
X = 7.2
Okay I put -646/15 but it’s wrong can someone help me
Answer:
-30 5/6
Step-by-step explanation:
You are adding two negative numbers, so add their absolute values and make the answer negative.
-28 1/3 + (-2 1/2) =
= -(28 1/3 + 2 1/2)
We add the absolute values 28 1/3 and 2 1/2. We need a common denominator for the fractions. The LCD of 2 and 3 is 6.
= -(28 + 2 + 1/3 + 1/2)
= -(30 + 2/6 + 3/5)
= -(30 5/6)
= -30 5/6
Using suitable identity, find the value of 87^3+ 13^3/
87^2 −87 ×13 + 13^2
The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.
We will first calculate the numerator:
As (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :
\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))
= 100(\(87^2\) - 87 * 13 + \(13^2\))
Now, calculate the denominator:
\(87^2 - 87 * 13 + 13^2\)
As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):
\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)
\(= 74^2\)
So by solving the equation further:
\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)
As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:
\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)
So, the value of the given expression is 100.
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What is the least common multiple (LCM) that could be used to find a common denominator for the fractions 1 2 and 5 6 ?
Answer:
4
Step-by-step explanation:
b/c the only number that divide both is 4
Good fiction keeps the audience guessing about what is going to happen next or what a solution may be. An author adds _______ in the text to do this.
Good fiction keeps the audience guessing about what is going to happen next or what a solution may be. An author adds several elements in the text to do this.
First and foremost, suspense plays a crucial role. By creating a sense of uncertainty and tension, the author keeps readers on the edge of their seats, eagerly turning pages to discover what comes next. Suspense can be built through various techniques, such as foreshadowing, unexpected plot twists, and cliffhangers at the end of chapters or sections.
Another essential element is the effective use of red herrings. These are misleading clues or events that divert readers' attention from the true course of the story or the real solution to a problem. Red herrings add complexity and intrigue, forcing readers to question their assumptions and consider multiple possibilities.
Furthermore, well-developed and unpredictable characters contribute to the mystery and suspense. Complex characters with hidden motivations, conflicting loyalties, and enigmatic personalities keep readers guessing about their true intentions and actions. Unforeseen character revelations and transformations can also add layers of uncertainty.
Intricate and multi-layered plots are another key aspect. A well-crafted plot intertwines various storylines, subplots, and conflicts, creating a tapestry of possibilities. By introducing unexpected events, unresolved conflicts, and ambiguous outcomes, the author maintains an aura of unpredictability, leaving readers speculating about the eventual resolution.
Additionally, skillful pacing is crucial. By controlling the flow of information, alternating between moments of tension and relief, and strategically revealing or concealing crucial details, the author can manipulate the readers' expectations and keep them guessing about what lies ahead.
Finally, effective storytelling techniques such as vivid descriptions, immersive world-building, and evocative language further enhance the suspense and keep the audience engaged. By crafting a rich and immersive narrative, the author creates an atmosphere of intrigue, where readers are constantly seeking answers and eagerly anticipating the next revelation.
In summary, to keep the audience guessing about what is going to happen next or what a solution may be, an author incorporates elements such as suspense, red herrings, unpredictable characters, intricate plots, skillful pacing, and compelling storytelling techniques. These tools work together to create a sense of anticipation, curiosity, and engagement, making the reading experience enjoyable and enthralling for the audience.
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Can, you help me thanks. <3
Answer:
I think the 1st one is the answer
Step-by-step explanation:
if it helpful to you give me a brainliest