Rachel baked 3 cakes in 2 hours, 4 cakes in 3 hours, and 5 cakes in 4 hours. Determine whether the number of cakes baked is proportional to the number of hours.
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Answer:
Its not proportional and not combarable
Related Questions
Can anyone answer this question
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Answer:
24
Step-by-step explanation:
Sorry for small handwriting
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Step-by-step explanation:
4 is added to each number
A/q ,
5x+4/6x+4 = 7/8
Now , cross multiply
7/6x + 4) = 8 (5x + 4 )
42x + 28 = 40x + 32
42x - 40x = 32 - 28
2x = 4
x= 4/2
x= 2
answer :
5x = 10
6x = 12
Step-by-step explanation:
hope it helps.u........
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
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The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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5h-6-8+7h what’s the answer ?
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a bank is offering 2.5%simple interest in a saving account. if you deposit 5000, how much interest would you earn in one year
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Answer:
$125
Step-by-step explanation:
.025(5000)= 125
Please Help!! asking for the 3rd time :'(
Answer questions (a – f) based on the following graph
a. When x = -1, what is the value of y?
b. When y = 7, what is the value of x?
c. What is the y-intercept of the graph?
d. What is the x-intercept of the graph?
e. What is the slope of the line?
f. What is the equation of the line?
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Answer:
a. y = 3
b. x = 1
c. y = 5
d. x = -2.5
e. m = 2
f. y = 2x +5
Step-by-step explanation:
a.Find the mark -1 on the horizontal axis. Follow the vertical line up until it meets the red line being graphed. Then follow the horizontal line over to the vertical y-axis. This tells you the value of y when x = -1. It is 3.
y = 3 when x = -1.
__
b.Find the mark 7 on the vertical axis. (It is the one closest to the top.) Follow the horizontal line over to the red line being graphed. Then follow the vertical line down to the horizontal x-axis. The number there is 1. This is the value of x when y = 7.
x = 1 when y = 7.
__
c.The number where the red line crosses the vertical axis is the y-intercept. It is 5.
y-intercept = 5
__
d.The red line crosses the horizontal axis halfway between -2 and -3. The value there is -2.5. This is the x-intercept.
x-intercept = -2.5
__
e.The slope of the line is the ratio of "rise" (vertical change) to "run" (horizontal change). There are several ways to find it.
You already know the line crosses the y-axis at y = 5, and you know that it has a value of y=7 when x=1. The latter point is 2 units up and 1 unit right of the y-intercept point, so the slope is ...
m = rise/run = 2/1 = 2
The slope of the line is 2.
__
f.The equation in slope-intercept form is ...
y = mx + b
where m represents the slope (2), and b represents the y-intercept (5). Putting these numbers in their places gives the equation ...
y = 2x +5
Answer:
a. when x = -1 y = 3
b. when y = 7 x = 1
c. when x = 0 (y-intercept) y = 5
d. when y = 0 (x-intercept) x = -2.5
e. slope = (y2 - y1) / (x2 - x1) = (5 - 0) / (0 - (-2.5)) = 2
f. y = m x + b equation for straight line
y = 2 x + 5 equation of line
Check: when x = 0 y = 5 the y-intercept
See b: if y = 7 then 7 = 2 x + 5 or x = 1 OK
4) Evaluate 96 ÷ 6 + 7X15 - 14X5
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Simplified value of the given mathematical expression 96 ÷ 6 + 7X15 - 14X5 is 51.
Calculated Expression. A mathematical expression is the collection of mathematical symbols that results from the valid combination of numbers and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.
2x + 3 is an illustration of a mathematical expression with a variable. Each and every variable needs to have a coefficient, or a value multiplied by the variable. The number 2 is the coefficient of x in the expression 2x + 3, which means 2 times x plus 3.
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According to projections through the year 2030, the population y of the given state in year x is approximated byState A: - 5x + y = 11,700State B: - 144x + y = 9,000where x = 0 corresponds to the year 2000 and y is in thousands. In what year do the two states have the same population?The two states will have the same population in the year
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The x variable represents the year in question. The year 2000 is represented by x = 0, 2001 would be repreented by x = 1, and so on.
The year in which both states would have the same population can be determined by the value of x which satisfies both equations.
We would now solve these system of equations as follows;
\(\begin{gathered} -5x+y=11700---(1) \\ -144x+y=9000---(2) \\ \text{Subtract equation (2) from equation (1);} \\ -5x-\lbrack-144x\rbrack=11700-9000 \\ -5x+144x=2700 \\ 139x=2700 \\ \text{Divide both sides by 139} \\ x=19.4244 \\ x\approx19\text{ (rounded to the nearest whole number)} \end{gathered}\)Note that x = 19 represents the year 2019
ANSWER:
The two states will have the same population in the year 2019
Which associations best describe the scatter plot?
Select each correct answer.
Linear association
Negative association
Positive association
Nonlinear association
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But in this case, it’s more exponential
Negative: start high - goes lower
Positive: start lower - goes higher
Solution: non-linear and negative
Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service. Assuming all conditions for inference are met, which of the following is a 90% confidence interval for the difference in population proportions (City C minus City K) who subscribe to the streaming service?
A. (0.17 – 0.27) + or - 1.65 underroot 0.17/200 + 0.27/200.
B. 0.17 – 0.27) + or -1.96 underroot (0.17)(0.83) + (0.27)(0.73)/400
C. 0.17 – 0.27) + or - 1.65 underroot (0.17)(0.83) + (0.27)(0.73)/400
D. (0.17 – 0.27) + or - 1.96 underroot (0.17)(0.83) + (0.27)(0.73)/200
E. (0.17 – 0.27) + or - 1.65 underroot (0.17)(0.83) + 0.27)(0.73)/200
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Answer:
\((0.17 - 0.27) \pm 1.65\sqrt{\frac{0.17*0.83 + 0.27*0.73}{200}}\), that is, option C
Step-by-step explanation:
From a random sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service.
This means that the proportions are:
\(p_C = \frac{34}{200} = 0.17\)
\(p_K = \frac{54}{200} = 0.27\)
Subtraction of proportions:
In the confidence interval, we subtract the proportions. So:
\(p = p_C - p_K = 0.17 - 0.27\)
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
Standard error:
For a subtraction, as the standard deviation of the distribution is the square root of the sum of the variances, we have that:
\(\sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.17*0.83 + 0.27*0.73}{200}}\)
90% confidence level
So \(\alpha = 0.1\), z is the value of Z that has a pvalue of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).
So the confidence interval is:
\((0.17 - 0.27) \pm 1.65\sqrt{\frac{0.17*0.83 + 0.27*0.73}{200}}\), that is, option C
A class Eleventh Maths teacher Khushali wrote some sets in set builder form on a black board of class;A={x: xis a prime natural number and x is less than equal to 7 }
B ={y: y is an odd natural number and y E 7}
Where Universal set U = {l,2,3,4,5,6,7,8}
i)Write sets A and B in roster form
ii)Find A u B and A n B
iii)Find the number of all subsets of universal set U and number of relations from A to B
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Step-by-step explanation:
i)
A = {2, 3, 5, 7}
as "1" can only be divided by one number (instead of the usual 2 numbers for prime numbers), if it's not part of that set.
out of U = {1, 2, 3, 4, 5, 6, 7, 8}
B = {1, 3, 5}
I am not sure what you mean by "y E 7".
I don't think you mean the E7 algebraic group.
I decided you mean y <> 7 (not equal to 7).
ii)
A u B (united) = {1, 2, 3, 5, 7}
A n B (elements in common) = {3, 5}
iii)
a set with n elements has 2^n subsets and (2^n) - 1 proper subsets (all subsets minus the equal one).
our U here has 8 elements, so the number of subsets is
2⁸ = 256.
the number of relations from A to B is 2^|A×B| = 2^(|A|·|B|).
|A| = 4
|B| = 3
so the number of relations from A to B are
2^(4×3) = 2¹² = 4096
remember, for the number of possible relations we have 4×3 = 12 possible combinations of elements of A and engender of B.
each of these combinations can be in the set of relations or not, which gives us 2 options per combination.
that gives us 2¹² relations.
During game play, Juan threw 2 darts onto the board. Determine the likelihood of the scores Juan could get with his two throws. 4 or greater: 14: 16:
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Answer: likely, impossible, unlikely
Step-by-step explanation:
i got it right
Answer:
Step-by-step explanation:
4 or greater:
likely
14:
impossible
16:
unlikely
Evaluate 5x + 2y, if x = -1 and y = 0.
I need help fast!!!
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2y is the same as 2*y
Now, we can plug the values of x and y into the equation and solve it, like this:
MENTAL MATH:
5 * (-1) = -5
2 * 0 = 0
FINALLY:
-5 + 0 = -5
how many different sample size of n=3 can be drawn from the population
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I'll focus on question 10 only. Let me know if you need me to answer the others.
We have the population with this set of numbers: {2,4,6,8,10}
There are 5 values in that set.
Now consider having slots labeled A,B and C to represent the three placeholders for the numbers.
For slot A, we have 5 choicesSlot B has 5-1 = 4 choicesSlot C has 5-2 = 3 choicesThere are 5*4*3 = 20*3 = 60 permutations and 60/(3*2*1) = 60/6 = 10 combinations.
Therefore, we have 10 different subsamples of 3 items.
Answer: Choice C) 105. Dana had $700. She spent 1/2 of her money on car note and 1/4 of the remainder on car
insurance. How much money is left with her?
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Answer:
the answer is 87.5.
Step-by-step explanation:
If you divide 700 by 2 it equals 350. Then when you multiply 350*0.25, 87.5 or 87 1/2 is your answer
You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
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The ship started at the Position 0.14 units.
To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.
Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:
Starting position + Distance sailed to the left = Distance to the treasure
Let's assign a variable, "x," to represent the starting position of the ship.
The equation becomes:
x - 0.055 = 0.085
To find the value of x, we can solve this equation by isolating x on one side:
x = 0.085 + 0.055
x = 0.14
Therefore, the ship started at the position 0.14 units.
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if 1/4 of the class is girls and one half of the girls in the class are wearing dresses what fraction of the class are girls with dresses one eighth 1/6 1/5 1/4
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Given that one-fourth of the class are girls;
\(f(G)=\frac{1}{4}\)And one half of the girls in the class are wearing dresses;
\(f(D)=\frac{1}{2}\)The fraction of the class that are girls with dresses is;
\(\begin{gathered} f(G\cap D)=\frac{1}{4}\times\frac{1}{2} \\ f(G\cap D)=\frac{1}{8} \end{gathered}\)Therefore, the fraction of the
St. Patrick's Day Problem Solving
Use the weight on the scales to determine the weight of each egg.
Note: Identical eggs weigh the same amount,
3.5
6
5.5
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Writing about Distance
Explain why 1-31 + 191 represents the distance between
the points (-3, -5) and (9,-5).
1
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Answer:
1 - 31 + 191 does not represent the distance of the 2 given points.
The distance between the 2 points is 12
Step-by-step explanation:
Remember distance formula: \(d = \sqrt{(x2-x1)^2 + (y2-y1)^2}\)
When we plug in our values into the distance formula into a calc,
d = \(\sqrt{(9-(-3))^2 + (-5-(-5))^2}\)
We get d = 12. This does not equal 1 - 31 + 191 (which equals 161).
Answer:
Sample Response: The points are on a horizontal line, parallel to the x-axis. The absolute value of −3 represents the distance from (−3, −5) to the y-axis, and the absolute value of 9 represents the distance from the y-axis to (9, −5).
Step-by-step explanation:
What are the properties of numbers?
Answers
There are four number properties: commutative property, associative property, distributive property and identity property.
Given,
Properties of numbers;
1. Commutative property;
This law merely asserts that while adding and multiplying integers, you can rearrange the numbers in a problem without changing the solution. Division and subtraction do not work interchangeably.
2. Associative property;
This law essentially asserts that you can rearrange the numbers in a problem without changing the solution when adding or multiplying them. Division and subtraction DO NOT go together.
3. Distributive property;
The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.
4. Identity property;
Identity attribute is defined as the ability of a number, known as the identity, to be increased, decreased, multiplied, or divided without causing the original number to change.
Therefore,
Commutative property, associative property, distributive property, and identity property are the four number properties.
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Sarah negotiated a price of $25,290.00 for a new Toyota Camry Hybrid Sedan. She is prepared to give a down payment of 13%. Her credit union offered her a 4-year amortized loan for the remaining amount at a rate of 1.75%.
How much money will be paid in interest?
How much will the car cost, in total?
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Answer: D
Step-by-step explanation:
Find an ordered pair (x, y) that is a solution to the equation.
3x-y=6
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For example, if we let x = 2, then:
3x - y = 6
3(2) - y = 6
6 - y = 6
-y = 0
y = 0
So, when x = 2, y = 0, and the ordered pair (2, 0) is a solution to the equation 3x - y = 6.
College students are offered a 6% discount on a textbook that sells for
$32.50. If the sales tax is 6%, find the cost of the textbook including the sales
tax.
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32.383 is the cost of the textbook including the sales tax.
How does sales tax work?
Government-imposed consumption taxes on the purchase of goods and services are known as sales taxes. A typical sales tax is imposed at the moment of sale, paid for by the shop, and then given to the government.The original price of the textbook = $32.50
Also, the discount percentage = 6%
Thus, the price of the textbook after discount = 32.50 - 6 % of 32.50
= 32.50 - 6 * 3250/100
= 32.50 - 1.95
= 30.55
Now, the sales tax = 6 %
Hence, the cost of the textbook including sales tax
= 30.55 + 6 % of 30.55
= 30.55 + 6 * 30.55/100
= 30.55 + 1.833
= 32.383
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Find an expression for the area of the shaded portion of each square.
-Process
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The expression of the area of the shaded parts are;
What is area?The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m².
1. The area of the whole square = m²
therefore area of the unshaded part = 7×4 = 28
area of the shaded part = m²-28
2. the area of the whole square = z×z = z²
area of the unshaded part 1= 3 × 24 = 72
area of the unshaded part 2 = (z-3)21 = 21z -63
area of shaded part = z²-72-(21z-63) = z²-72-21z+63
= z²-21z-9
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The same video is uploaded to a different website.There are also 100 views in day one ,but 400 views on day 2and 1,600 views on day 3.explain how the explicit and rescursive formula change .
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The explicit formula of the geometric sequence is given as follows:
\(a_n = 100(4)^{n-1}\)
The recursive formula of the geometric sequence is given as follows:
f(n + 1) = 4f(n).f(1) = 100.What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio (q). In other words, a geometric sequence is a sequence where each term is a fixed multiple of the previous term.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term.
For the recursive formula, we just take the first term and each consecutive term is the previous term multiplied by the common ratio.
There are 100 views in day one, hence the first term is given as follows:
\(a_1 = 100\)
The number of viewers is multiplied by 4 each day, hence the common ratio is given as follows:
q = 4.
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HELP
which of the following appear in the diagram below?
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What is the slope of a line that is parallel to y = 3x + 5?
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Hi!
I can help you with joy!
Parallel lines have the same slope.The given line has a slope of 3.This means that the line parallel to the given line has a slope of 3 as well.Answer:
The line has a slope of 3.
Hope it helps.
If you have any queries, please ask.
~Misty~
Answer:
It should be 3
Step-by-step explanation:
A line parallel to this one would have a slope of 3. where m is the slope and b is the y intercept. In this case, the equation y=3x+5 is already in slope intercept form, which means the slope is 3.
Fill in the y-intercept to complete the function equation.
Answers
Answer:
y=3x+5
Step-by-step explanation:
you do 4 times 3 then subtract that from 17
The first used 20 gal of fuel and the second used 25 gal. The 2 drove 1450 miles and the sum of their fuel efficiencies was 65 miles per gal. What we’re each car fuel efficiency?
Answers
Answer: there you go :)
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
Step-by-step explanation:
Let x = gallons consumed by car 1
Let y = gallons consumed by car 2
We set up our equations:
35x+40y = 1850 eq1
x+y = 50 eq2
Substituting eq 2 into eq 1,
35x+40(50-x) = 1850
35x+2000-40x = 1850
-5x+2000 = 1850
-5x = -150
x = 30
Substitute value of x into eq 2.
x+y = 50
30+y = 50
y = 20
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
simply the ratio of 650ml to 2litre
Answers
Answer:
13: 40
Step-by-step explanation:
as 650 ml is given
so 2l = 2000 ml
ratio = 650 / 2000
13/40
13:40