The baker would need 47. 25 cups of floor
How to determine the valueWe need to know that proportion is a form of mathematical comparison with two equations made equal to each other.
From the information given, we have that;
baker used 33 3/4 cups of flour to make 15 batches of cookies
This is represented as;
Convert to improper fractions
135/4 cups = 15 batches of cookies
Then, x cups = 21 batches of cookies
cross multiply the values
15x = 708. 75
Divide both sides by the coefficient of x, we have ;
x = 708. 75/15
x = 47. 25 cups of floor
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A
0
5
4
3
2
+
2
D'
02
A
C
02.5
B
3
D
A
Determine the scale factor used to create the image.
4
9
10
11
B
12
The scale factor used to create the image is given as follows:
k = 1/4.
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
The equivalent segment lengths for the original figure and the image are given as follows:
Original: AB = 12 - 4 = 8 units.Image: A'B' = 3 - 1 = 2 units.Hence the scale factor used to create the image is given as follows:
k = 2/8
k = 1/4.
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please helppp!!!!!!!!!!!!!!!!!!!
The inequality in slope - intercept form is,
⇒ y ≤ x + 5
We have to given that;
The graph of the inequality is shown in image.
Let two points on the line is,
⇒ (- 5, 0) and (0, 5)
Hence, The equation of line is,
⇒ y - 0 = (5 - 0) / (0 + 5) (x + 5)
⇒ y = x + 5
Thus, The inequality in slope - intercept form is,
⇒ y ≤ x + 5
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Which method is best to display the data?
The method of bar chart is appropriate for representation.
According to the given data,
The most effective way to present the data is in a bar chart.
An effective visual representation of categorical data that shows the frequency or count of each category is a bar chart.
The length of each bar would reflect the frequency or count of each score, and the categories would be the test results in this instance.
It would be a simple and unambiguous approach to compare the various test results.
These are the three key characteristics of bar graphs:
The bar graph makes it simple to compare various sets of data among various groups.
The relationship is depicted using two axes, with the discrete values on one axis and the categories on the other.
The graph displays the key alterations in the data over time.
Hence,
Bar chart method should be used.
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on a line graph, time is usally represented by which of the following?
Time is usually represented by the x axis
summarize the relationship between the number of Faces, the number of Vertices and the number of Edges of a three-dimensional object
Answer:
The relationship between the number of faces, vertices, and edges of a three-dimensional object is described by Euler's formula, which states that for any polyhedron (a solid object bounded by flat faces), the number of faces (F), vertices (V), and edges (E) satisfy the equation F + V - E = 2. This formula is true for any convex polyhedron, such as a cube or a regular tetrahedron.
The formula is based on the fact that every face of a polyhedron is bounded by a closed loop of edges, and each vertex is where three or more edges meet. The total number of edges is the sum of the number of edges around each face, which is equal to twice the number of faces since each edge is shared by two faces, and the number of edges meeting at each vertex, which is equal to the degree of the vertex (the number of edges meeting at the vertex).
Therefore, by knowing the number of faces, vertices, and edges of a three-dimensional object, we can determine if it is a convex polyhedron and use Euler's formula to check if the numbers are consistent with a solid shape.
A city is now 70,000. The population is decreasing, 14 years ago the population was 93,000. Use Pert to find r
The value of r which is the decay rate is calculated as: -0.0203
How to solve Growth or decay functions?The equation for "continual" growth (or decay) is given by the expression:
[tex]A = Pe^{rt}[/tex]
where:
A is the ending amount,
P is the beginning amount (principal, in the case of money)
r is the growth or decay rate (expressed as a decimal),
t is the time (in whatever unit was used on the growth/decay rate).
We are given that:
A = 70000
P = 93000
t = 14
Thus:
70000 = 93000 * [tex]e^{14r}[/tex]
70/93 = * [tex]e^{14r}[/tex]
14 r = In (70/93)
14r = -0.2841
r = -0.0203
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A secretary listed the frequency of calls by a patient to a doctor's office during a year, and the data is displayed in the histogram.
Which of the following best describes the spread and distribution of the data?
1. The data is skewed to the higher values because many patients call the doctor several times a day when they are sick.
2. The data is skewed to the lower values because many patients only call the doctor once or twice a year when they are sick.
3. The data is bimodal with a narrow spread because many patients call the doctor several times a day when they are sick.
4. The data is normal and has a wide spread because many patients only call the doctor once or twice a year when they are sick.
Answer:
2.
Step-by-step explanation:
The data is skewed towards 1-25. From this we can conclude that patients only call the doctor once or twice when they are sick.
50 Points! Multiple choice algebra question. Solve e^x>2.7. Photo attached. Thank you!
Answer:
Your answer is C and D. :)
Step-by-step explanation:
A retail chain will buy 800 televisions if the price is $350 each and 1200 if the price is $300 each.
A wholesaler will supply 700 of these televisions at $280 each and 1400 at $385 each.
The market equilibrium point is a supply of 1000 at $325
Finding the market equilibrium pointWe have the demand of
800 televisions at $3501200 televisions at $300So, the demand equation is a linear equation that passes through
(800, 350) and (1200, 300)
This equation is
d(x) = -x/8 + 450
We have the supply of
700 televisions at $2801400 televisions at $385So, the supply equation is a linear equation that passes through
(700, 280) and (1400, 385)
This equation is
s(x) = 3x/20 + 175
At the market equilibrium point, we have
d(x) = s(x)
So, we have
3x/20 + 175 = -x/8 + 450
This gives
x = 1000
Also, we have
s(1000) = 3 * 1000/20 + 175
s(1000) = 325
This means that the market equilibrium point is a supply of 1000 at $325
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Complete question
A retail chain will buy 800 televisions if the price is $350 each and 1200 if the price is $300. A wholesaler will supply 700 of these televisions at $280 each and 1400 at $385 each.
Assuming that the supply and demand functions are linear, find the market equilibrium point
During a three days period, the stock of money, inc, gained 6 points, lost 10 points, and gained 2 points. What was the total change in points for the three days?
A = 2 points
B = 4 points
C = -6 points
D = -2 points
Which function is represented by this graph?
Answer:
its A
Step-by-step explanation:
In 8-card poker,each player is dealt 8 card(go figure) from a standard deck of 52 cards. How many different hands can be dealt.
The number of unique 8-card hands to be dealt are752,538,150.
How to solveThe number of different 8-card hands that can be dealt from a standard 52-card deck is given by the combination formula:
[tex]C(n, k) = n! / [(n-k)! * k!][/tex]
C(52, 8) = 52! / [(52-8)! * 8!] = 52! / [44! * 8!]
Evaluating this will give the total number of different 8-card poker hands that can be dealt from a standard deck.
Using these calculations, you would find the number of unique 8-card hands to be 752,538,150.
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I thought I understood how to get the answer, but I got the second question wrong so I don't know what to do. Can anyone explain to me how to do it? I also am dyslexic and have a hard time rounding numbers. So, I dont think I understood how to round to the nearest dollar.
Answer:
$223,787
Step-by-step explanation:
r = 0.02
C = 191,000
t = 8
S = 191,000 (1 + 0.02)⁸
Follow order of operations (PEMDAS).
S = 191,000 (1.02)⁸
S = 191,000 (1.171659381)
S = 223,786.9
(We want to round to the nearest dollar, which is the ones place, so ignore all digits after the tenths place.)
Rounding, S = 223,787
Stefan wants to buy a toy car at the
store. The price is p dollars. He also
has to pay a 6% tax.
Write an expression to represent
how much Stefan will pay in total for
the toy car.
Furniture center offers trade discounts and additional discounts to encourage orders. What is the net price per item if each invoice total is high enough to get additional discount
The customer would pay a net price of $760 per item after all discounts have been applied. It's important to note that the Actual discount percentage and net price per item may vary depending on the terms of the sale and the specific furniture center's policies.
Furniture centers often offer trade discounts to their customers to encourage orders. A trade discount is a reduction in the listed price of a product or service that is offered to trade customers, such as retailers, wholesalers, or other businesses. The discount is usually a percentage of the list price, and the actual amount of the discount depends on the quantity of the product ordered and the terms of the sale.
In addition to trade discounts, furniture centers may offer additional discounts to their customers who meet certain criteria. For example, they may offer a percentage discount for orders over a certain amount or for customers who pay in full at the time of purchase. These additional discounts are intended to encourage customers to place larger orders and to reward them for their loyalty to the furniture center.
To calculate the net price per item, you need to know the list price of the item, the trade discount percentage, and any additional discounts that may apply. For example, let's say that the list price of a piece of furniture is $1,000, and the trade discount offered by the furniture center is 20%. If the customer's invoice total is high enough to qualify for an additional discount of 5%, the net price per item would be calculated as follows:
List price: $1,000
Trade discount: 20% x $1,000 = $200
Price after trade discount: $1,000 - $200 = $800
Additional discount: 5% x $800 = $40
Net price per item: $800 - $40 = $760
So, the customer would pay a net price of $760 per item after all discounts have been applied. It's important to note that the actual discount percentage and net price per item may vary depending on the terms of the sale and the specific furniture center's policies.
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Use the formula A = bh to find the area, in square meters, of the parallelogram below.
9
12 m
m²
18m
The Parallelogram area is 96 square meters.
We have,
The area of a parallelogram is given by the formula A = bh, where b is the length of the base and h is the height.
In this case,
The base of the parallelogram is the length of one of its parallel sides, which is 12 m.
The height of the parallelogram is given as 8 m.
Therefore, the area of the parallelogram is:
A = bh
A = 12 m x 8 m
A = 96 square meters
Thus,
The Parallelogram area is 96 square meters.
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calculus pls help guys
Calculus a broad subject that covers many topics such as derivatives, integrals, limits, and functions.
Calculus is a branch of mathematics that focuses on the study of change and motion. It provides a framework for understanding and analyzing quantities that vary continuously. The two main branches of calculus are differential calculus and integral calculus.
Differential calculus deals with the concept of derivatives. A derivative measures how a function changes as its input (usually denoted as x) changes. Geometrically, the derivative represents the slope of a function at a particular point. It can also be interpreted as the instantaneous rate of change of a function at a given point. Derivatives have various applications, such as determining the maximum or minimum values of functions, analyzing the behavior of functions, and solving optimization problems.
Integral calculus, on the other hand, focuses on the concept of integrals. An integral is a mathematical operation that measures the accumulation of quantities or the area under a curve. It essentially reverses the process of differentiation. Integrals can be used to compute the total change or accumulation of a quantity over a given interval, find the area of irregular shapes, and solve problems involving rates of change.
Calculus plays a fundamental role in many scientific and engineering disciplines. It is used extensively in physics, engineering, economics, computer science, and many other fields to model and solve real-world problems involving continuous change. The study of calculus also forms the basis for higher-level mathematics such as differential equations, vector calculus, and multivariable calculus.
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Can someone help me with this?
The value of the functions are;
a. x = 5/6
b. x> 5/6
c. x = 1
d. x ≤ 1
How to determine the functionsNote that functions are defined as laws or rules showing the relationship between two variables
From the information given, we have that;
f(x) = 6x - 5
g(x) = -5x + 6
To determine the functions, we have;
f(x) = 0
6x - 5 = 0
collect like terms
6x = 5
x = 5/6
f(x) > 0
6x - 5> 0
6x > 5
x> 5/6
f(x) = g(x)
6x - 5 = -5x + 6
collect like terms
11x = 11
x = 1
f(x) ≤ g(x)
6x - 5 ≤ - 5x + 6
collect like terms
11x ≤ 11
x ≤ 1
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this is graph of y=-1/2x+10. use the graph to show the equal intervals of x vaules have equaldifferences of y values.
In the graph, differential is 4 or (p+k)-p = k as well as difference is -2 when y = 7 or y = 5, respectively.
A graph comprises a visual representation and diagram that displays facts or values in an organised manner in mathematics. The points of a graph are widely used to depict the connections between various objects. A. The difference between y = 7 or y = 5 is 4 and -2, respectively B. 4 is the difference, so (p+k)-p = k C. It differs by -2 D. Part C depends on 'k' rather than 'p,' not 'p'.
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PLs anwser these long problems one at a time!:
(U can number them like : number 1, number 2....)
The equations are solved to get
2/5 * (1 1/4 * x - 3 1/3) - 1 1/3 x here x = 1 3/5
2 1/8 x + 3/4 x + 1/6 - 7/12 x + 5 2/3 here x = 2 6/11
0.5(x + 1.6) + 1.4(3x + 2.4) = 9.8 here x = 1.2
How to simplify the expressions1.
2/5 * (1 1/4 * x - 3 1/3) - 1 1/3 * x
opening the parenthesis and converting to improper fraction
1/2 x - 4/3 - 4/3 x
-5/6 x - 4/3
-5/6 x = 4/3
x = 8/5
x = 1 3/5
2.
2 1/8 x + 3/4 x + 1/6 - 7/12 x + 5 2/3
adding like terms
55/24 x + 35/6 = 0
55/24 x = - 35/6
x = 28/11
x = 2 6/11
3.
0.5(x + 1.6) + 1.4(3x + 2.4) = 9.8
removing the parentheses:
0.5x + 0.8 + 4.2x + 3.36 = 9.8
4.7x + 4.16 = 9.8
4.7x = 5.64
x = 1.2
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a train laves los angles at 2pm, heading north at 50mph. If the next train leaves 3 hours later and heads north at 60 mph, at what time will the second train catch up with the first?
Answer:
8 am
Step-by-step explanation:
First train has a 50 m/hr x 3 hr = 150 mile head start
Second train is going 60 - 50 = 10 m/hr faster and will close this 150 mile distance
in 15 hours to catch the first train
2pm + 3 hours + 15 hours = 8 am
Use the figure below to answer the following questions.
Complete the statement: triangle AGC~triangle ___?
Complete the statement: triangle CDE~triangle ___?
What is m
What is m
What is BC?
What is DE?
Were the above figure is given, the complete sentence with regard to the triangles are
ΔAGC ~ ΔCDF
ΔCDE ~ ΔCAB
And, the length of BC is, 51
The length of DE is, 132.7
How is this so?We have to given that;
⇒ CF = 32
Hence, We get;
tan 24 = CF / DF
0.44 = 32 / DF
DF = 72.7
Thus, ΔAGC ≈ ΔCDF
Here, We have;
⇒ ΔCDE ≈ ΔCAB
In triangle BCG;
BC² = 24² + 45²
BC² = 576 + 2025
BC² = 2601
BC = 51
In triangle CEF;
⇒ EC² = CF² + EF²
⇒ 68² = 32² + EF²
⇒ 4624 = 1024 + EF²
⇒ EF² = 4624 - 1024
⇒ EF² = 3600
⇒ EF = 60
Thus, We get;
DE = DF + EF
DE = 72.7 + 60
DE = 132.7
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2.30 1.99 sales tax 8%
Answer:
$2.48 and $2.15, respectively
Step-by-step explanation:
2.30 * 1.08 = 2.48
1.99 * 1.08 = 2.15
How does the amount of vitamin C in each type of juice compare? Complete the statement
One serving of tomato
juice has
? mg more vitamin C per serving
than one serving of ?
KC
juice.
DONE
D
One serving of tomato juice has mg of more vitamin C per serving is 90mg.
We are given that;
Tomato juice percentage of vit c
Now,
The Daily Value (DV) for vitamin C is 90 mg for adults and children aged 4 and older. This value is used to calculate the percent DV that you see on nutrition labels. So, if one serving (1 cup or 240 ml) of 100% canned tomato juice contains 74% of the DV for vitamin C, this means that one serving contains approximately 66.6 mg of vitamin C
Solving this calculation;
0.74 x 90 mg = 66.6 mg
The DV for vitamin C=90 mg.
Therefore, by percentage the answer will be 90mg.
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What is the place value of 2 in 369.425
Step-by-step explanation:
do it yourself what do you do while teacher is teaching
do it yourself what do you do while teacher is teaching
What value of x satisfies the equation −1.5x−2.7=20.1+4.5x
To solve for x in the equation −1.5x−2.7=20.1+4.5x, we need to isolate x on one side of the equation. We can do this by adding 1.5x to both sides of the equation and adding 2.7 to both sides of the equation, which gives us:
-1.5x - 2.7 + 1.5x = 20.1 + 4.5x + 1.5x
Simplifying the left side of the equation and combining like terms on the right side of the equation gives us:
-2.7 = 6x + 20.1
Subtracting 20.1 from both sides of the equation gives us:
-22.8 = 6x
Dividing both sides of the equation by 6 gives us:
x = -3.8
Therefore, the value of x that satisfies the equation is -3.8.
Apple juice costs $2.50 for 128 ounces. What is the price per ounce?
Answer: $0.0195
Step-by-step explanation: To find the price per ounce of apple juice, we need to divide the total cost by the number of ounces.
Price per ounce = Total cost / Number of ounces
Here, the total cost is $2.50 and the number of ounces is 128.
Price per ounce = $2.50 / 128 ounces
Price per ounce = $0.0195
Therefore, the price per ounce of apple juice is $0.0195, which is approximately 2 cents per ounce.
Answer: $0.0195 per ounce
Step-by-step explanation:
We will create a proportion to help us solve this question.
➜ To do this, we will set two fractions equal to each other with the dollar amount in the numerator and the ounce amount in the denominator.
[tex]\displaystyle \frac{\$2.50}{128\;ounces} =\frac{\$x}{1\;ounce}[/tex]
Cross-multiply:
128x = $2.50
Divide both sides of the equation by x:
x = $0.0195 per ounce
what is the range of the function f(x)=x^2+2x+4
Answer: -3 to -infinity
Step-by-step explanation:
please help with this
The solution of the function is as follows:
f(3) = 16
h(0) = -4
h(g(x)) = 3x + 5
g(y) = y + 3
f(x) - h(x) = x² - x + 5
How to solve function?A function relates input and output. In other words, a function is an expression that defines a relationship between one variable (the independent variable) and another variable(dependent variable).
Therefore, let's solve the function as follows:
f(x) = x² + 2x + 1
g(x) = x + 3
h(x) = 3x - 4
Therefore,
f(3) = (3)² + 2(3) + 1 = 9 + 6 + 1 = 16
h(0) = 3(0) - 4 = -4
h(g(x)) = 3(x + 3) - 4 = 3x + 9 - 4 = 3x + 5
g(y) = y + 3
f(x) - h(x) = x² + 2x + 1 - (3x - 4) = x² + 2x + 1 - 3x + 4 = x² - x + 5
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Amazon is having a sale where items are sold for 15% less than the original price. If Amy bought a new coat for a sale price of $50, what was the original price of the coat?
(Round your answer to the nearest cent.)
