The bakery earn $81.65 more in sales of chocolate chips than sugar in 15 hours
How to calculate how much more the bakery earn in salesFrom the question, we have the following parameters that can be used in our computation:
The table of values
Where the total amount of sales are
Sugar = 1.15 * (6h - 5)
Chocolate chips = 1.15 * (10h + 6)
In 15 hours, we have
h = 15
This means that
Sugar = 1.15 * (6 * 15 - 5) = 97.75
Chocolate chips = 1.15 * (10 * 15 + 6) = 179.4
The difference is calculated as
Difference = 179.4 - 97.75
Difference = 81.65
Hence, the bakery earn $81.65 more in sales of chocolate chips than sugar in 15 hours
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Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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If Marisa drove n miles in t hours, which of the
following represents her average speed, in miles per
hour?
(A) n/t
(B) t/n
(C) 1/nt
(D) nt
(E) (n*2) t
Correct option is A) n/t
If Marisa drove n miles in t hours, then her average speed, in miles per hour is n/t.
Are distance and speed equal?Distance and speed are inversely proportional. If we have two cars traveling a distance at two distinct speeds, it means that time is constant. Time and speed are inversely related.
Formula:- Distance = Speed × Time
Distance =n miles
Time =t hours
Therefore Speed = Distance÷ Time
Speed =n ÷ t miles per hour
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Divide 400 baht between A and B so that twice A's share may equal three times B's share.
If 400 baht is shared between A and B; A gets 240 baht while B gets 160 baht.
What is a linear equation?A linear equation is a polynomial with a degree of one. The standard form of a linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Let x represent the amount of money that A gets and y represent the amount of money that B gets.
400 Baht is been divided between A and B, hence:
x + y = 400 (1)
Also; twice A's share may equal three times B's share, hence:
2x = 3y
2x - 3y = 0 (2)
From both equation 1 and 2:
x = 240, y = 160
A gets 240 baht while B gets 160 baht.
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Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone.
Let y represent the distance (in meters) from the safe zone after x seconds.
Complete the equation for the relationship between the distance and number of seconds.
y=, equals
If Kayden is a stunt driver and one time, during a gig where she escaped from a building about to explode . the equation for the relationship between the distance and number of seconds is : D(t) = -25t + 160.
How to find the distance equation?First step is to find kayden speed using this formula
Speed = Distance/Time
Speed = 85-160/3
Speed = -75/3
Speed = -25t
Hence, the equation for the relationship between the distance and number of seconds is
D(t) = -25t + 160
Therefore we can conclude that the equation is D(t) = -25t + 160.
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For a group of high school students, the correlation between math sat score and total sat score is about r = 0.9935. what can be said about r2? note: r2 = 0.987.
Math SAT scores explain about 98.7% of the variation in the total SAT scores.
What is a correlation?In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.
A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.
Since r² exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.
In context, math SAT score explains about 98.7% of the variation in total SAT score.
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does anybody know how to solve this equation 5+3∣10−4x∣=20
x = 5/4 or x = 15/4
Step-by-step explanation:
Write and simplify the expression
Answer:
it is 5-2=3
x=3
Step-by-step explanation:
please help me! i will give brainlest!
Answer:
16.5 should be correct because OS is half the length.
JJack, Jill, and Bill each carried a 48-fluid ounce bucket full of water down the hill. By the time they reached the bottom, Jack's bucket was only 3/4 full, Jill's was 2/3 full, and Bill's was 1/6 full. How much water did they spill altogether on their way down the hill?
Answer:
Jill lost 1/3
Bill lost 1/6
and Jack lost 1/4
Make a common denominator - let's use 12
Jill lost 4/12
Bill lost 2/12
Jack lost 3/12
Add them together = 9/12
reduce by dividing by 3.
total of 3/4 spilt
48 divided into 4 parts then multiplied by 3 of those parts
48 / 4 * 3 = 36
Step-by-step explanation:
to determine the values of r for which erx satisfies the differential equation, we substitute f(x) = erx in the equation, 4f ''(x) 2f '(x) − 2f(x) = 0. we need to find f'(x) and f''(x) and f(x)
The value of r foe which erx satisfies the differential equation are r+1/2,-1.
The given differential equation is 4f''(x) + 2f'(x) - 2f(x) = 0.
We are to determine the values of r for which erx satisfies the differential equation, and so we substitute f(x) = erx in the equation.
To determine f'(x), we differentiate f(x) = erx with respect to x.
Using the chain rule, we get:f'(x) = r × erx.
To determine f''(x), we differentiate f'(x) = r × erx with respect to x.
Using the product rule, we get:f''(x) = r × (erx)' + r' × erx = r × erx + r² × erx = (r + r²) × erx.
Now, we substitute f(x), f'(x) and f''(x) into the given differential equation.
We have:4f''(x) + 2f'(x) - 2f(x) = 04[(r + r²) × erx] + 2[r × erx] - 2[erx] = 0
Simplifying and factoring out erx from the terms, we get:erx [4r² + 2r - 2] = 0
Dividing throughout by 2, we have:erx [2r² + r - 1] = 0
Either erx = 0 (which is not a solution of the differential equation) or 2r² + r - 1 = 0.
To find the values of r that satisfy the equation 2r² + r - 1 = 0, we can use the quadratic formula:$$r = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$In this case, a = 2, b = 1, and c = -1.
Substituting into the formula, we get:$$r = \frac{-1 \pm \sqrt{1^2 - 4(2)(-1)}}{2(2)} = \frac{-1 \pm \sqrt{9}}{4} = \frac{-1 \pm 3}{4}$$
Therefore, the solutions are:r = 1/2 and r = -1.
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Please help. See picture attached.
The trapezoid's area can be understood as triangle a + triangle b. So, we write these triangles as an expression, and, since we cannot solve with no values, we simplify to prove the area of the trapezoid.
A triangle's area is 1/2bh. In their case, b is represented as b or a depending on the triangle.
t = 1/2ah + 1/2bh
Now, since both expressions use the terms 1/2 and h, distributed onto a second variable, it can be rewritten as a single expression where both are distributed onto both variables at the same time. This is because both terms being multiplied by something separately is the same as combining both terms and multiplying them both at the same time.
t = 1/2(a)h + 1/2(b)h
t = 1/2(a + b)h
(9,−7) after a dilation by a scale factor of 4 centered at the origin?
The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:
Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).
In conclusion, the coordinates of the image after a dilation are (36, -28).
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triangle ABC with verticales at A(-3,-3) B(3, 3) C(0, 3) is dilated to create triangle abc with verticles at a(-9, -9) B(9, 9) C(0,9)
We can conclude that the dilated triangle abc is similar to the original triangle ABC with a dilation factor of 3,
Dilation is a transformation that performs a proportional resize of a figure. It changes the size of the figure while maintaining its shape and orientation. To dilate triangle ABC to create triangle abc, we can multiply the coordinates of each vertex of ABC by a dilation factor of 3.
The coordinates of the vertices of the original triangle ABC are A(-3,-3), B(3,3), and C(0,3). Multiplying each coordinate by 3 gives the coordinates of the vertices of the dilated triangle abc : A(-9,-9), B(9,9), and C(0,9).
We can compare the two triangles to see how the dilation has affected them. The size of triangle abc is three times larger than that of triangle ABC. The shape and orientation of triangle abc are the same as that of triangle ABC. The vertices of the dilated triangle, abc, are located at three times the distance from the origin as the corresponding vertices of triangle ABC. That is why the coordinates of all vertices of triangle abc are three times the coordinates of the corresponding vertices of triangle ABC. since the triangle was resized proportionally and has the same shape and orientation.
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Can someone please help me with this, find the unit rate cost per item which is these chips set up the equation and show the work the answer should be price per chips I’ll mark brainliest please yall
Answer:$3
Step-by-step explanation:
You always divide y by x. In this case 6/2 when you set up a chart. When you do this you get $3 unit rate.
1 (unit rate) 2
___________=_____
x (unit rate price) 6
Use cross products
1(6)=x(2)
6=2x
_____
2 2
x=3
Answer:
3
Step-by-step explanation:
Attached below .. i hope this is wht u were expecting!!
can someone please help out with this question
Answer:
B
Step-by-step explanation:
s = \(\frac{1}{2}\) a²v + c ( subtract c from both sides )
s - c = \(\frac{1}{2}\) a²v ( multiply both sides by 2 to clear the fraction )
2(s - c) = a²v ( isolate v by dividing both sides by a² )
\(\frac{2(s - c)}{a^2}\) = v
during a game of checkers, there is 16 pieces left. The ratio of black to red is 3:5 . How many black pieces are left on the board? Explain how you found the answer.
Since the ratio of the black to red is 3: 5
Then the total of the ratio is 3 + 5 = 8
Since there are 16 pieces left
By using the ratio method
black: red: total
3. : 5 : 8
x. : y : 16
By using cross multiplication
x x 8 = 3 x 16
8x = 48
Divide both sides by 8 to find x
x = 6
Since x represents the black left
The answer is 6 black left
Help ASAP ILL GIVE BRAINLIST TO CORRECT PERSON TY! I already solved how much money she needs
Step-by-step explanation:
Let x be the amount Jennifer needs to spend more.
We have $112.49 + x >= $250.
We subtract $112.49 from both sides of the inequality to get x >= $137.51.
Hence, Jennifer needs to spend at least $137.51 more to earn the free T-shirt.
Answer:
33
Step-by-step explanation:
i think plz dont be mad
the weight of a pawpaw is 3 times the weight of mango.thr sum of their weight is 12kg
The weight of the mango is 3 kg, and the weight of the pawpaw is 9 kg.
The weight of a pawpaw is three times the weight of a mango, and the sum of their weights is 12 kg.
Let's assume the weight of the mango is "x" kg.
According to the information given, the weight of the pawpaw is three times the weight of the mango, which means it is 3x kg.
To find the values of x and 3x, we can set up an equation. The sum of their weights is 12 kg, so we can write the equation as:
x + 3x = 12
Combining like terms, we have:
4x = 12
To isolate x, we divide both sides of the equation by 4:
x = 12/4
Simplifying, we find:
x = 3
So the weight of the mango is 3 kg.
To find the weight of the pawpaw, we can substitute the value of x into the equation:
3x = 3 * 3
Simplifying, we find:
3x = 9
Therefore, the weight of the pawpaw is 9 kg.
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How long will it be (hours) until a silo filled with 50 tons of grain is half empty if the silo is emptying at the rate of 4% per hour
\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\stackrel{half~empty}{25~\hfill }\\ P=\textit{initial amount}\dotfill &50\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=\textit{elapsed time}\\ \end{cases}\)
\(25=50(1-0.04)^t\implies \cfrac{25}{50}=(1-0.04)^t\implies \cfrac{1}{2}=0.96^t \\\\\\ \log\left( \cfrac{1}{2} \right)=\log(0.96^t)\implies \log\left( \cfrac{1}{2} \right)=t\log(0.96) \\\\\\ \cfrac{\log\left( \frac{1}{2} \right)}{\log(0.96)}=t\implies 16.9797\approx t\implies \stackrel{hr}{17}\approx t\)
Please help equation
Answer:
7..9
Step-by-step explanation:
get i get free points
Answer:
Step-by-step explanation:
it would be y2-y1 divided by x2-x1
a random sample of medical files is used to estimate the proportion p of all people who have blood type b. if you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 99% sure that the point estimate will be within a distance of 0.04 from p?
To determine the number of medical files needed for a random sample, we can use the formula:n = (z^2 * p * (1-p)) / (d^2)where:- n = sample size,- z = z-score for the desired level of confidence (in this case, 2.58 for 99% confidence),
- p = preliminary estimate for the proportion (since we have no preliminary estimate, we will use 0.5 as a conservative estimate),- 1-p = the complement of p,- d = the desired distance from the point estimate to p (in this case, 0.04)
To determine the required sample size for estimating the proportion p of all people with blood type B, we will use the formula for sample size estimation in a proportion study:
n = (Z^2 * p * (1-p)) / E^2
Where:
n = required sample size
Z = Z-score for the desired confidence level (in this case, 99%)
p = proportion (preliminary estimate of blood type B)
E = margin of error (the distance from the point estimate, 0.04 in this case)
Since there's no preliminary estimate for p, we'll assume the highest variability, which occurs when p = 0.5. For a 99% confidence level, the Z-score is 2.576.
Now we can plug in the values and calculate the sample size:
n = (2.576^2 * 0.5 * (1-0.5)) / 0.04^2
n ≈ 1067.1
Since the sample size must be a whole number, we round up to the nearest whole number. Therefore, you should include 1068 medical files in your random sample to be 99% sure that the point estimate will be within a distance of 0.04 from the true proportion p of people with blood type B.
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Frances can complete 91 oil changes in 7 days.
How many oil changes can Frances complete in 11 days?
Answer:
143. Divide 91/7 = 13, then take the number of oil changes per day and times it by 11. 13 x 11 = 143.
Step-by-step explanation:
Answer:
113.75
Step-by-step explanation:
Since 11 days is only 4 days away from 11, divide 91 / 4 = 22.75. Add this number to 91 to get the answer.
hotel pool a hotel owner is trying to calculate how many square feet of fabric he will need to make a pool covering for winter. if the pool is in the shape of a regular hexagon with a side-to-side length of 30 feet, how many square feet of fabric will the owner need to construct the cover? round to the nearest square foot.
The hotel owner needs approximately 2,248 square feet of fabric to make a pool covering for the winter for their regular hexagonal pool with a side-to-side length of 30 feet.
To calculate the area of the pool, we first need to find the apothem (the distance from the center of the hexagon to the midpoint of any side). For a regular hexagon, the apothem is equal to the side length times the square root of 3 divided by 2. So, the apothem of this hexagonal pool is:
apothem = 30 × √3/2 = 25.980762
The area of a regular hexagon is given by the formula:
area = 3 × √3/2 × apothem^2
Substituting the value of the apothem, we get:
area = 3 × √3/2 × 25.980762^2 = 2247.72
Rounding this to the nearest square foot, the hotel owner will need approximately 2,248 square feet of fabric to construct the cover for the pool.
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Find the area of a regular
polygon with 5 sides that has a
side length of 6 inches and an
apothem of 9 inches.
Answer:
Step-by-step explanation:
Height of the triangle = apothem = 9 inches
Base = 6 inches
\(Area \ of \ triangle = \frac{1}{2}bh\\\\=\frac{1}{2}*6*9\\\\= 3*9\\\\= 27 \ in^{2}\)
Area of regular polygon = Area of 5 triangle.
= 5 * 27
= 135 square inches
Find the sale price of a $45 item after a 20% discount.
Answer:
36$
Step-by-step explanation:
8 lb. 9 oz.
X 15 _______
Step-by-step explanation:
where is the steps to this question you can't answer it without a question too it SMH
Quinn knit a total of 4 centimeters of scarf over 2 nights. how many nights will quinn have to spend knitting in order to knit a total of 70 centimeters of scarf?
The nights required by Quinn in order to knit a total of 70 centimeters of the scarf is equal to 35.
The number of nights required by Quinn in order to knit a total of 70cm of the scarf can be calculated using multiplication. Multiplication can be described as one of the four basic arithmetic operations in which we perform the repeated addition of the same number or value. This problem can be solved using cross-multiplication as follows;
2 nights = 4 cm of scarf
x nights = 70 cm of scarf
70 × 2 = 4(x)
140 = 4(x)
x = 140 / 4
x = 35
Therefore, Quinn will have to spend 35 nights knitting in order to knit a total of 70 centimeters of the scarf.
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Find the missing length -x
Round the the nearest hundredth
Answer:
1.14,57
2.14,
3.15,15
Step-by-step explanation:
we are going to use sines theorem,
a/Sina=b/sinb
it is obvious that sin90°=1
then , 17=x/sin59°
17=x/sin(60°)
17=x/sin(63°)
Partitioning- finding the endpoint
Values of x and y will be 12 and 5 respectively.
It's given in the question,
Three points Q, R and S are collinear.Coordinates of Q → (2, 0)Coordinates of R → (8, 3)Coordinates of S → (x, y)QR : RS = 3 : 2Since, expression for the coordinates of a point (h, k) which divides the segment joining points \((x_1,y_1)\) and \((x_2,y_2)\) in the ratio of m : n is given by,
h = \(\frac{mx_2+nx_1}{m+n}\)
k = \(\frac{my_2+my_1}{m+n}\)
Since, R is a point on segment QS dividing in the ratio of 3 : 2, coordinates of R will be,
\(8=\frac{3x+2\times 2}{3+2}\)
\(8=\frac{3x+4}{5}\)
\(3x+4=40\)
\(3x=36\)
\(x=12\)
Similarly, \(3=\frac{3y+2\times 0}{3+2}\)
\(3=\frac{3y}{5}\)
\(3y=15\)
\(y=5\)
Therefore, values of x and y will be 12 and 5 respectively.
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A fruit juice company includes 1.088 ounces of pineapple juice in a 6.55 ounce bottle of a mixed fruit juice how much of the bottle mixed fruit it’s not pineapple juice
Answer:
5.462 is the answer because if 1.088 ounces is pineapple juice then 6.55-1.088 is the rest.
Step-by-step explanation: