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jennie spent 1/3 of her allowance on a new book and 2/5 of her allowance on some pencil s. How much of her allowance did she spend.
Answer:
She spent 2 1/5 of her allowance
Step-by-step explanation:
SOOOO, 3 and 5 multiplied make 15.. Right?
So, what is 1/3 of 15? it's 5
So, what is 2/5 of 15? It's 6
so 5+6=11
11/15
and reduce
so 2 1/5
I hope this helps
mina put 1205 pokemon cards into a notebook with 15 cards per page. how many sheets can she fill? how many cards left over
Answer:
she filled 80 pages with 5 left over
Step-by-step explanation:
Which is the exponential form of the expanded form shown?
(Two-fifths) (two-fifths) (two-fifths) (two-fifths)
StartFraction 2 Superscript 4 Baseline Over 5 EndFraction
StartFraction 2 Over 5 Superscript 4 Baseline EndFraction
(Two-fifths) Superscript 4
(Four-fifths) squared
Answer:
C
Step-by-step explanation:
The answer is C. I know because I got it correct on Edge. Please mark as brainliest. Thanks and have a great day
Answer:
C
Step-by-step explanation:
Which of the following fractions is a repeating decimal? *
5/8
10/12
2/4
9/24
Answer:
10 /12
Step-by-step explanation:
10 divided by 12 is 0.8333333333 and so on
Chelsey wants to join a fitness club.
She has a coupon that will give her $10 off a 6 month membership. With the coupon, her total cost for the 6 months is $170.
What is the regular monthly fee without the coupon?
A.$15 per month
B.$20 per month
C.$20 per month
D.$45 per month
Answer:
30 (I think you mistyped one of the answer choices)
Step-by-step explanation:
170+10=180
180÷6=30
please help please thanks
Answer:
A
Step-by-step explanation:
Newton's third law states that for every force, there is an equal and opposite reaction. For example, if you collide two objects together, all of the forces in the system would cancel out because energy conserved with the opposite and equal reactions.
Between two examples (2 identical billiard balls and 2 different toy cars), the easiest way to demonstrate Newton's third law is using the 2 balls, since they are identical in shape and mass. When pushing the two balls in the exact same way with the SAME force, the net force of the equation is basically 0;
\(F_f = F_1 + F_2 = ma - ma = 0\)
Therefore, A is correct.
If you pushed a toy car and a toy truck towards each other using the same force, the outcome would not be completely opposite since F = ma and masses are different. Instead, to have a completely opposite and equal reaction, the resulting direction and forces are different. The lighter car would accelerate more in the opposite direction to compensate for the lighter mass. Therefore, B is wrong because even though they are different sizes, newton's third law still happens in the resulting direction and forces, but are simply harder to explain due to so many differing factors.
C is wrong, because diameter of two objects has no correlation to the net force equations. Even if two objects have the same diameter, they could have different masses, shapes, elasticity, etc.
D is wrong, because it goes against Newton's 3rd law. Newton's 3rd law is a LAW. Meaning, it is ALWAYS true (unless in some distant future it's disproven). In any and every collision, energy is conserved in some way that net forces equal 0; either in friction, gravitational force, or resulting force, the net force is always 0.
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.4 years with a standard deviation of 0.8 years. Step 1 of 2: If a sampling distribution is created using samples of the ages at which 38 children begin reading, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer:
According to the Central Limit Theorem, the sampling distribution of sample means would have a mean of 5.4 years.
Step-by-step explanation:
For a normally distributed random variable X, with mean and standard deviation, the sampling distribution of sample means with size n can be approximated to a normal distribution with mean and standard deviation.
As long as n is at least 30, the Central Limit Theorem can also be applied to skewed variables.
We have the following problem:
5.4 years is the average age for the entire population.Based on the Central Limit Theorem, 5.4 years would be the mean of the sampling distribution of sample means.Answer:
Step-by-step explanation:
The mean of the sampling distribution of sample means can be calculated using the formula:
μM = μ
where μ is the population mean and M is the sample mean.
Thus, μM = μ = 5.4 years.
Therefore, the mean of the sampling distribution of sample means would also be 5.4 years.
A rental car company charges $22 per day to rent a car and $0.08 for every mile driven. Samuel wants to rent a car, knowing that:
He plans to drive 450 miles.
He has at most $80 to spend.
Write and solve an inequality which can be used to determine xx, the number of days Samuel can afford to rent while staying within his budget.
Using the inequality concept, the expression models the number of days Samuel can afford to rent while staying within his budget is 11x + 18 ≤ 40
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
A rental car company charges $22 per day to rent a car and $0.08 for every mile driven
The maximum amount to spend = $80
Fixed charge per day $22
Charge per mile = $0.08
The inequality which represents the number of days Can be expressed thus :
(Charge per day × number of days) + (charge per mile × number of miles) ≤ 80
22x + 0.08× 450 ≤ 80
22x + 36 ≤ 80
Divided by 2 both sides of an inequality,
11x + 18 ≤ 40
Hence, the required inequality expression is 11x + 18 ≤ 40
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5. Determine the value of t4 in an arithmetic sequence given that t₁ = 11 and S9 = 243.
The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).
We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.
From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:
243 = (9/2)(2(11) + (9-1)d)
243 = 9(22 + 8d)
243 = 198 + 72d
45 = 72d
d = 45/72 = 5/8
Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:
tₙ = a + (n-1)d
t₄ = 11 + (4-1)(5/8)
t₄ = 11 + 3(5/8)
t₄ = 11 + 15/8
t₄ = 88/8 + 15/8
t₄ = 103/8
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HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. x=2 ± √13
Explanation:
How do i solve this slope of a line from a graph?
Answer:
How you solve it is you pick two points on a line and figure out their coordinates. Determine the difference in the y-coordinates of those two points. Then you also do the same thing with the x-coordinates. Then you divide the difference in the Y and X coordinates .
Step-by-step explanation:
hope this helps 100% sure though that it is right.
which of the following years were leap years according to the calendar used before the time of pope gregory: 1000, 1492, 1600, 1776?
The probability 1000, 1600, and 1776 were leap years according to the calendar used before the time of pope gregory, but 1492 was not.
The calendar used before the time of Pope Gregory was the Julian Calendar, which was introduced by Julius Caesar in 46 BC. This calendar used a system of leap years, where an extra day was added to the month of February every four years. This was to account for the fact that a solar year is slightly longer than 365 days. For a year to be a leap year under this system, it must be divisible by 4. Therefore, 1000, 1600, and 1776 were leap years according to the Julian Calendar, but 1492 was not since it is not divisible by 4. This calendar was replaced by the Gregorian Calendar in 1582, which uses a slightly modified leap year system. Under this system, a year is only a leap year if it is divisible by 4, but not if it is divisible by 100, unless it is also divisible by 400. Therefore, 1600 would still be a leap year under the Gregorian Calendar, but 1700, 1800, and 1900 would not be.
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Which statement describes the graph of f(x) = –4x3 – 28x2 – 32x + 64?
The graph crosses the x-axis at x = 4 and touches the x-axis at x = –1.
The graph touches the x-axis at x = 4 and crosses the x-axis at x = –1.
The graph crosses the x-axis at x = –4 and touches the x-axis at x = 1.
The graph touches the x-axis at x = –4 and crosses the x-axis at x = 1.
From the graph of the given function, f(x) = -4x³ - 28x² - 32x + 64, the statement that describes the function is - The graph touches the x-axis at x = -4 and crosses the axis at x = 1. The correct option is the last option
Graph of cubic functionsFrom the question, we are to determine the statement that describes the graph of the given cubic function
The given function is
f(x) = -4x³ - 28x² - 32x + 64
To determine the statement, we will determine the value of f(x) when x = -4
f(x) = -4x³ - 28x² - 32x + 64
f(-4) = -4(-4)³ - 28(-4)² - 32(-4) + 64
f(-4) = -4(-4)³ - 28(-4)² - 32(-4) + 64
f(-4) = 256 - 448 + 128 + 64
f(-4) = 0
Also, we will determine the value of f(x) when x = 1
f(x) = -4x³ - 28x² - 32x + 64
f(1) = -4(1)³ - 28(1)² - 32(1) + 64
f(1) = -4 -28 - 32 + 64
f(1) = 0
Now, using these points and some other points on the function, the graph of the function is shown below.
From the graph, we can observe that the graph touches the x-axis at x = -4 and crosses the x-axis at x = 1.
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Answer:
D
Step-by-step explanation:
I took the test
The lion population in a certain reserve drops by 5% every year. Currently, the population's size is 325. i.Write a function that gives the lion population size,P(t), t years from today ii. What will the population be in 4 years. Write an exponential function for all three
Answer:
1. The function that gives the lion population size P(t), t years from today is:
P(t) = 325(0.95)^t
2. To find the population in 4 years, we can substitute t=4 in the function:
P(4) = 325(0.95)^4
P(4) = 279.14
So the population will be approximately 279 lions in 4 years.
3. The exponential function for all three years is the same as in part 1:
P(t) = 325(0.95)^t
Marco paid $36.89 for 8.6 gallons of gas. What is the price per gallon?
Answer:
It is $4.29 Step-by-step explanation:
because you need to find the price of one gallon, so you just divide the numbers $36.89 by 8.6 gallons which is 4.289 and if you round it it is $4.29 per gallon / 1 gallon.
a salesman earns 25% commission he sells amount to 2450 shillings after giving a buyers 2% discount . calculate his commission. Suppose all the goods were sold at marked price , what would be is earnings?
Answer:
Step-by-step explanation:
A) Commission = 2450 shillings * 25 % = 2450 shillings * (25/100) = 2450 shillings * (0.25) = 612.50 shillings
Commission = 612.50 shillings
B) If the total sale is 2,450.00 shillings, after the seller gives buyers a 2% discount. We must re-enter the discount:
2,450.00 shillings = X - X * 2% = X - 0.02 X --->
------> 0.98 X = 2,450.00 shillings
------>X= 2,450.00 / 0.98
------> X = 2,500.00 shillings
NEW COMMISSION = 2,500.00 shillings * 25 % = 2,500.00 shillings *(25/100) =2,500.00 shillings * (0.25) = 625 shillings
NEW COMMISSION = 625 shillings
P(t)=480,000e−0.024t, where t is the number of years from the present. What does this model predict the population will be in 14 years?
The model predicts the population to be 671,520 in 14 years
What is an exponential function?An exponential function is a mathematical function of the form \(R^{x}\) where x is a variable and R is a constant.
Exponential functions form exponential curves with decreasing or increasing slope depending on the magnitude of the variable x.
Population, P(t) = 480,000\(e^{-0.024t}\),
when t = 14
substitute t = 14 into the equation,
Population, P(t) = 480, 000\(e^{-0-024 x 14}\) = 480, 000 x 1.399 = 671,520
In conclusion, the Population of the model after 14 years is 671,520
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me ayudan por favor es para mañana pero lo necesito ahora me ayudan
Answer:
1) 11/10= 1 1/10
2)17/15= 1 2/15
3)10/10= 1
4)11/10= 1 1/10
5)9/18= 1/2
Mr. Chand is one of the landlords of his town. He buys a land for his daughter spanning over a
area of 480m². He fences the dimensions of the land measuring (x+12) mx (x+16) m. Now he
plans to erect a house with a beautiful garden in the ratio 5:3 respectively. A total of Rs. 5,00,000 is estimated as the budget for the expenses.
1)Give the area of the land purchased in linear polynomial form using algebraic expression
2)Mr. Chand's daughter is ready to share 3/5" of the expenses by her earnings. Express the
fraction in amount.
3)Can you solve the linear equation/polynomial of the area into different factors?
The required answers are 1) \($$A = x^2 + 28x + 192$$\) 2) 300000 3) \($$x^2 + 28x + 192 = (x + 14 - 2\sqrt{19})(x + 14 + 2\sqrt{19})$$\).
How to deal with area and fractions?area of the land purchased is given as 480m², and the dimensions of the land are (x+12)mx(x+16)m. Therefore, the area of the land can be expressed as:
\($$A = (x+12)(x+16)$$\)
Expanding this expression, we get:
\($$A = x^2 + 28x + 192$$\)
Hence, the area of the land purchased is given by the polynomial expression \($x^2 + 28x + 192$\).
The total budget for the expenses is Rs. 5,00,000. If Mr. Chand's daughter is ready to share 3/5 of the expenses, then the fraction of the expenses she will pay is:
\($\frac{3}{5}=\frac{x}{500000}$$\)
Simplifying this expression, we get:
\($x = \frac{3}{5}\times 500000 = 300000$$\)
Therefore, Mr. Chand's daughter will pay Rs. 3,00,000 towards the expenses.
We can solve the polynomial \($x^2 + 28x + 192$\) into different factors by using the quadratic formula:
\($x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$\)
Here, the coefficients of the polynomial are:
\($$a = 1, \quad b = 28, \quad c = 192$$\)
Substituting these values in the quadratic formula, we get:
\($x = \frac{-28 \pm \sqrt{28^2 - 4\times 1 \times 192}}{2\times 1}$$\)
Simplifying this expression, we get:
\($$x = -14 \pm 2\sqrt{19}$$\)
Therefore, the polynomial \($x^2 + 28x + 192$\) can be factored as:
\($$x^2 + 28x + 192 = (x - (-14 + 2\sqrt{19}))(x - (-14 - 2\sqrt{19}))$$\)
or
\($$x^2 + 28x + 192 = (x + 14 - 2\sqrt{19})(x + 14 + 2\sqrt{19})$$\)
So, we have factored the polynomial into two factors.
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WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!
This scale drawing shows a reduction in a figure.
What is the value of x?
Enter your answer as a decimal in the box.
X =
The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.
Given two triangles.
Also given that, the scale drawings given are the reduction of the figure.
Most probably, the second triangle must be formed after a reduction with a scale factor of k.
Let k be the required scale factor.
The value of k can be found by taking the ratio of the corresponding sides.
k = 5.2 / 10.4
= 0.5
So all the corresponding sides will be half of the first triangle.
x = 0.5 × 12.6
= 6.3 feet
Hence the value of x is 6.3 feet.
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Construct a 2x2 matrix A= aij. whose elements are given by
a = |-3i + j| plz give step by step answer
A. Technician charges25$ per hour plus. 50 $ for a house call.
Answer:
The graph starts at $75 since the price for call is $50 and 1 hour of work costs $25.
Direct variation is only noticeable at the beginning of the graph after that the function is linear.
Step-by-step explanation:
Find the 91st term of the arithmetic sequence 5, -14, -33, ...5,−14,−33,...
Answer:
1724
Step-by-step explanation:
first find the nth term = -19n+5
then do -19×91+5= 1724
What is the meaning of "the cancellation laws"?
Each step of this theorem is proved below.
Given that,
S is finite,
Now enumerate all of its elements as x₁, x₂,..., x\(_{n}\).
According to the cancellation rule,
This product is independent of the order of the factors.
As a result, we can define the identity element e as this product.
It is simple to demonstrate that e meets the criteria of an identity element.
Now, let's show that every element of S has an inverse.
Let a be any element of S. Consider the set {a, a, a, ...}.
Since S is finite,
There exist positive integers m and n such that
am = an for some m > n.
By the cancellation law,
We can cancel a power of a from both sides to get a\({(m-n)}\) = e.
This means that a has an inverse, and we can conclude that S is a group.
Consider the set of all positive integers under addition, except 1, as an example of an infinite semigroup in which the cancellation laws hold but which is not a group.
This set clearly meets the cancellation laws, but it does not have an inverse for every element, because the inverse of 2, for example, is not an integer.
As a result, this is not a group.
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A group of people surveyed about whether they prefer to bike or run to exercise, and whether they prefer summer or winter weather. The results are in the table
The value that will be in the blank would be = 165
The percentage that will like to run that prefer summer = 60%
What percentage would prefer to run in summer?On the given table, the total amount of individuals in each column should be the same.
Therefore, for the bike column = 231 + 87 = 318
Therefore the number of people that will like to home and also prefer the winter weather would be = 318-153 = 165.
To find the percentage that will like to run that prefers summer, the following is carried out;
The number of people that will like to run = 231
The number of people that will like to bike = 153
Total = 153+231 = 384
Therefore percent = 231/384×100/1
= 23100/384
= 60%
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The U.S. Senate has 100 members. After a certain election, there were 20 more Democrats than Republicans, with no other parties represented. How many members of each party were there in the Senate?
introduces a husband and wife with brown eyes who have 0.75 probability of having children with brown eyes, 0.125 probability of having children with blue eyes, and 0.125 probability of having children with green eyes. a) What is the probability that their first child will have green eyes and the second will not? b) What is the probability that exactly one of their two children will have green eyes? c) If they have six children, what is the probability that exactly two will have green eyes? d) If they have six children, what is the probability that at least one will have green eyes? e) What is the probability that the first green eyed child will be the 4th child? f) Would it be considered unusual if only 2 out of their 6 children had brown eyes?
The probability of their first child having green eyes is 0.125, and the probability of their second child not having them is 0.875.
What is a probability?Probability is an estimate of how likely an occurrence is to occur. It's a figure between 0 and 1, where 0 means the event is unlikely and 1 means the event is certain. A likelihood of 0.5 (or 50%) indicates that the occurrence has an equal chance of occurring or not occurring.
In the given question,
a) The probability of their first child having green eyes is 0.125. The probability of their second child not having green eyes is 1 - 0.125 = 0.875. Therefore, the probability that their first child will have green eyes and the second will not is 0.125 x 0.875 = 0.1094.
b) The probability of exactly one of their two children having green eyes can be calculated in two ways: either the first child has green eyes and the second doesn't, or the first child doesn't have green eyes and the second does. The probability of the first scenario was calculated in part (a) to be 0.1094, and the probability of the second scenario is the same, so the total probability is 2 x 0.1094 = 0.2188.
c) The probability of exactly two out of six children having green eyes can be calculated using the binomial distribution with n = 6, p = 0.125, and k = 2. The formula for this probability is:
P(k=2) = (6 choose 2) x \(0.125^2 x (1 - 0.125)^4\) = 0.1936
where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6.
d) The probability of at least one of their six children having green eyes is the complement of the probability that none of them do. The probability that any one child doesn't have green eyes is 1 - 0.125 = 0.875, so the probability that none of the six children have green eyes is \(0.875^6\) = 0.1779. Therefore, the probability that at least one of their six children has green eyes is 1 - 0.1779 = 0.8221.
e) The probability that the first green-eyed child will be the fourth child is the probability that the first three children do not have green eyes, multiplied by the probability that the fourth child has green eyes, multiplied by the probability that the fifth and sixth children do not have green eyes. The first three children have a probability of \((1-0.125)^3\) = 0.578 to not have green eyes. The fourth child has a probability of 0.125 to have green eyes. The probability that the fifth and sixth children do not have green eyes is \((1-0.125)^2\) = 0.765625. Therefore, the probability that the first green-eyed child will be the fourth child is 0.578 x 0.125 x 0.765625 = 0.0557.
f) It would depend on the context and the specific definition of "unusual." If the expected number of brown-eyed children is 0.75 x 6 = 4.5, then having only 2 out of 6 children with brown eyes is below average. However, the probability of this exact outcome can be calculated using the binomial distribution with n = 6 and p = 0.75:
P(k=2) = (6 choose 2) x \(0.75^2 x (1 - 0.75)^4\) = 0.0986
where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6. This probability is not very low (less than 10%), so it might not be considered unusual in a statistical sense.
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In the equation 7x - 3 = 25, what is the first step to solve for x? What is the value
of x?
Step-by-step explanation:
7x − 3 = 25
Add 3 to both sides.
7x = 28
Divide both sides by 7.
x = 4
Answer:
I think is add 3 from both sides
Step-by-step explanation:
7x-3=25
25+3=28
7x=28
x=4
Evaluate f(x) = -4x - 5 for x = -1.
A. -9
B. -1
C. 1
D. 4
Answer:
the answer is c. 1
Step-by-step explanation:
f(x)= -4x -5
f(-1)= -4(-1) -5
f(-1) =4 -5
f(-1)= -1
f(-1/-1) =-1/-1
f= 1
Which pair of terms can be used to represent any two consecutive odd numbers?
x and x+ 1
x and x+2
x and 2x+ 1
2x and 2x+ 1
Answer:
x and x+2
Because the next consecutive odd number is 2 away from the nearest odd number.
Answer:
odd integers are 2 apart from each other (in between them is an even number)
x and x+2 is answer