A principal has given a class $75 to help pay for a field trip to a zoo. The students in the class are selling pies for
$5 each to earn the rest of the money they need. The field trip will cost a total of $386.
Which inequality can be used to findp, the number of pies the class needs to sell in order to earn enough money to
pay for the field trip?
A 5p+75 ≤ 386
B 5p+752 386
C 75p+52 386
D 75p+5≤ 386
Answers
I'd say its A because:
5x#of pies + the money the principal pitched in (75) is less than or equal to 386 dollars (their goal for the field trip).
The inequality equation is given by 5p + 75 ≤ 386 , where p is the number of pies the class sells
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality relation be represented as A
Let the number of pies the class sells be p
Now , the equation will be
The total amount for the field trip = $ 386
The amount given to the students = $ 75
The cost of 1 pie = $ 5
So , the cost of p pies = 5p
Now , the total amount with the students = cost of p pies + amount given to the students
Substituting the values in the equation , we get
5p + 75 ≤ 386
Therefore , the value of A is 5p + 75 ≤ 386
Hence , the inequality relation is 5p + 75 ≤ 386
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Related Questions
Bobby posts an online video and sends it to three of his friends on a social media platform. After one minute passes, each of those friends shares the video with two of their friends. The process continues for a few minutes. Write a recursive process that represents the number of people who have received the video in n minutes
Answers
Answer:
\(f(n) = f(n- 1) * 2\); \(f(1) = 3\)
Step-by-step explanation:
Given
\(1\ minute = 3\ friends\)
Every other minute
\(Each\ friend = 2\ other\ friends\)
Required
Determine the recursive function
Let the number of minutes be represented with n.
The initial condition can be represented as:
\(n = 1\)
\(f(1) = 3\) --- i.e. 3 friends initially at the first minute
At every other minutes:
\(n \ge 2\) i.e 2 minutes upwards
This means that n follows the following sequence
\(n \to n, n -1, n -2,n -3, n - 4,.....,4,3,2\)
Note that the difference between each term is 1.
This means that recursive function has to be defined backwards i.e.
\(f(n) = f(n- 1) * k\)
Where k = 2
i.e. The number of friends that received the video from each friend
So, we have:
\(f(n) = f(n- 1) * 2\)
Hence, the recursive function is:
\(f(n) = f(n- 1) * 2\); \(f(1) = 3\)
6. The amount of carbon-14 left / years after the death of an organism is given by
2(1) = Que-0.0001221
where Qo is the amount left at the time of death. For this problem, assume Qo=
6.0 x 1010 carbon-14 atoms.
(a) How much is left after 50,000 years? What fraction of the original amount is this?
(b) How much is left after 100,000 years? What fraction of the original amount is
this?
(c) What is the half-life of carbon-14?
(d) About how many half-lives will occur in 50,000 years? Roughly what fraction will
be left? How does this compare to your answer in part (a)?
Answers
The half-life of carbon-14 is 5,730 years. Assuming you start with 100% of carbon-14, what is the expression for the percent, P(t), of carbon-14 that remains in an organism that is t years old and what is the percent of carbon-14 remaining (rounded to the nearest whole percent) in an organism estimated to be 20,000 years old
Carbon-14, C-14, 14
C or radiocarbon, is a radioactive isotope of carbon with an atomic nucleus containing 6 protons and 8 neutrons. Its presence in organic materials is the basis of the radiocarbon dating method pioneered by Willard Libby and colleagues (1949) to date archaeological, geological and hydrogeological samples. Carbon-14 was discovered on February 27, 1940, by Martin Kamen and Sam Ruben at the University of California Radiation Laboratory in Berkeley, California. Its existence had been suggested by Franz Kurie in 1934.[2]
There are also trace amounts of the unstable radioisotope carbon-14 (14C) on Earth. Carbon-14 has a relatively short half-life of 5,730 years, meaning that the fraction of carbfon-14 in a sample is halved over the course of 5,730 years due to radioactive decay to nitrogen-14.
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Laura is bowling 5 games. Her first 4 scores were 118, 82, 134, and 85.
To end up with an average score of at least 116, what is the lowest score Laura will need in the fifth game?
Answers
419 + x = 580
x = 161
She must get at least 161 to have an average of 161
Interpret the rate of change and initial value from this graph . I really really appreciate your help! Thank you so much .
Answers
Answer:
Initial value=50
Rate of change=12.5
Step-by-step explanation:
The rate of change is just the slope.
Initial value is y-intercept.
In a class of students, the following data
table summarizes how many students have a
cat or a dog. What is the probability that a
student chosen randomly from the class has
a cat?
Has a dog
Does not have a
dog
Has a cat
2
3
Does not have a
cat
12
10
Answers
The table can be summarized as follows:
| | Has a dog | Does not have a dog |
|----------|-----------|---------------------|
| Has a cat | 2 | 3 |
| Does not have a cat | 12 | 10 |
To find the probability that a student chosen randomly from the class has a cat, we need to find the total number of students who have a cat (regardless of whether or not they have a dog), and divide it by the total number of students in the class.
The number of students who have a cat is 2 (those who have a dog and a cat) + 3 (those who have a cat but do not have a dog) = 5.
The total number of students in the class is the sum of all four categories: 2 (has a cat and a dog) + 3 (has a cat, does not have a dog) + 12 (does not have a cat, has a dog) + 10 (does not have a cat, does not have a dog) = 27.
So, the probability that a student chosen randomly from the class has a cat is 5/27.
Can somebody solve this question for me it would be so helpful I will give brainliest first it needs to be rounded to the nearest 10th
Answers
Answer:
F. 824.8 ft³
Step-by-step explanation:
To find the volume of a cube, you want to multiply the length by width by height.
l = 8.2
w = 9.4
h = 10.7
l • w • h
8.2 • 9.4 • 10.7
= 824.756
Round to the nearest tenth.
824.8 ft³
Hope this helps!
find the midpoint of the line segment when given the endpoints (10, -6)(-4, -9)
Answers
Answer:
3,3/2
Step-by-step explanation:
let 10,-6 be x1, y1
-4,-9 be x2, y2
(x1+x2)/2 , (y1+y2)/2
(10-4)/2 , (-6+9)/2
6/2 , 3/2
3 , 3/2
Answer:
(3, -7.5)
Step-by-step explanation:
Use the midpoint formula: (x1 + x2) / 2 , (y1 + y2) / 2
Plug in the points:
(10 - 4) / 2 , (-6 - 9) / 2
6/2 , -15/2
3, -7.5
So, the midpoint will be at (3, -7.5)
Please Solve (c-3)^2=100
Answers
Answer:
BODMAS RULE
(c-3)²=100
c²-6c+9=100
c²-6c=100-9
c²-6c=91
c²-6c-91=0
then factories
S={(3,p),(3,0),(4,q),(1,4)}
Answers
Answer:
S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:
(3,p): The first element is 3 and the second element is p.
(3,0): The first element is 3 and the second element is 0.
(4,q): The first element is 4 and the second element is q.
(1,4): The first element is 1 and the second element is 4.
How many pairs of parallel sides
does this shape appear to have?
Answers
There are three pairs of parallel sides.
We have,
Parallel sides refer to two or more sides of a polygon or a shape that are always equidistant and do not intersect.
In other words, parallel sides are lines that lie in the same plane and never meet or cross each other.
In a polygon, such as a rectangle or a parallelogram, parallel sides are pairs of sides that are opposite to each other.
For example, in a rectangle, the two pairs of opposite sides are parallel to each other.
Similarly, in a parallelogram, both pairs of opposite sides are parallel.
Now,
From the figure,
There are three pairs of parallel sides:
- a and d are parallel
- b and e are parallel
- f and c are parallel
Thus,
There are three pairs of parallel sides.
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You deposit $300 in an account that earns simple interest at an annual rate of 6.5%.
If no other deposits or withdrawals were made, what is the total amount of money in the account at the end of 8 years?
Answers
Total amount of money in the account will be $456.
How much money will be in the account after 8 years?Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.
The formula for simple interest is: Simple Interest = Principal × Rate × Time
Principal (P) is $300
Rate (R) is 6.5%
Time (T) is 8 years.
Simple Interest = $300 × 0.065 × 8
Simple Interest = $156
Total Amount = Principal + Simple Interest
Total Amount = $300 + $156
Total Amount = $456.
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please helpwill give brainlyest
Answers
Answer:
10/9
Step-by-step explanation:
1/3+7/9=10/9
Step-by-step explanation:
= 1 + 7
3 9
= 9+21
27
= 28
27 ans
For the equation f(x) = 1.1 * (0.44) ^ x state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x
c = (Type an integer or a decimal)
a = (Type an integer or a decimal)
R = % (Simplify your answer. Type an integer or a decimal)
Answers
The parameters of the exponential function in this problem are given as follows:
c = 1.1.a = 0.56.R = -56%.What is an exponential function?The standard format of an exponential function is given as follows:
y = c(1 - a)^t.
This is the case for a decaying exponential function, and the meaning of each parameter is given as follows:
c is the initial value, value assumed by y when t = 0.a is the decay rate.In this problem, the function is given as follows:
f(x) = 1.1(0.44)^x.
Hence the values for the parameters are given as follows:
c = 1.1, which is the initial value.a = 0.56, as 1 - a = 0.44 -> a = 0.56.Then the percent of change is of -56%, as it is a decaying exponential function with a = 0.56.
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find the area under the standard normal curve between z=0 and z=3
Answers
The area under the standard normal curve between z=0 and z=3 is 0.4987.
How to illustrate the information?It should be noted that because the normal distribution is symmetrical on both sides of the mean and is a continuous probability distribution, the right side of the center is the opposite of the left side.
The normal distribution was first termed by early statisticians who observed that the same shape repeatedly appeared in many distributions. The characteristics of normal distributions are as follows: Bell-like in its symmetry. The distribution's mean and median, which are both at its center, are equal.
The area will be illustrated as:
P(0 < Z < 3)
From the distribution table. In this case, it's important to look at the normal distribution table under the z score for the values of zero less than Z and Z less than 3. This will be:
= 0.9987 - 0.5
= 0.4987
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Simplify 132-12x12-124:31
Send Photo do in full process
Answers
Calculate: 132-144-124 = -136
-136 : 31 cannot be further simplified
Hope this helped!
An item costs $350 before tax, and the sales tax is 14% .
Find the sales tax rate in percentage.
Answers
Answer: So, the sales tax on the item is $49.
Step-by-step explanation:
The sales tax rate is already given as 14%. It is stated that the item costs $350 before tax, and the sales tax rate is 14%. Therefore, the sales tax amount can be calculated by multiplying the cost of the item by the tax rate:
Sales tax amount = $350 * 14% = $350 * 0.14 = $49
So, the sales tax on the item is $49.
Which expression is equivalent to the given expression? 2x^2 - 14x - 24
Answers
Answer:
\( 2( {x}^{2} - 7x - 12)\)
Step-by-step explanation:
\( \huge \: 2x^2 - 14x - 24 \\ \huge \: = 2( {x}^{2} - 7x - 12)\)
Antonio eats 1 slice of pizza in 3 minutes. How long will it take Antonio to eat 4 slices?
Answers
Answer:
12
4*3
That's the answer
Simplify. 6x + 4y – 4x + 5y + 5 x + y +
Answers
Answer:
7x+5y
Step-by-step explanation:
put the like terms of x together and like terms of y and then add
Answer:
7x+10y
Step-by-step explanation:
you just simplify it
Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $7 a pound and cereal squares sell for $4 a pound. If Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound, how many pounds of nuts and how many pounds of cereal squares should he use?
Answers
Answer:
5 lbs cereal squares.
25 Ibs nuts.
Step-by-step explanation:
Let x be the weight of nuts in pounds and y be the weight of cereal squares in pounds.
Total weight of the party mix is 30 pounds.
\(x+y=30\) ..... (1)
It is given that,
Cost of nuts = $7 per pound
Cost of cereal = $4 per pound
The cost of mix = $6.50 per pound.
\(7x+4y=6.50*30\)
\(7x+4y=195\) ..... (2)
Substitute the value of x in equation (2) from equation (1).
\(7(30-y)+4y=195\)
\(210-7y+4y=195\)
\(-3y=195-210\)
\(-3y=-15\)
Divide both sides by -3.
\(y=5\)
Substitute y=5 in equation (1).
\(x+5=30\)
Subtract both sides by 5.
\(x=30-5\)
\(x=25\)
Therefore, he use 25 lbs of nuts and 5 lbs cereal squares for party mix.
1. What is the chance of landing on a number divisible by 2?
6
1
2
4
3
Answers
The chance or probability of landing on a number divisible by 2 is 1/2.
The likelihood of an event occurring is defined by probability. By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
According to the question,
Total number of outcomes = 6
Favorable number of outcomes = 3
Thus, the required Probability = 3/6 =1/2
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Complete each proof using the properties of equality. ALL POWS W
Type the properties how they are listed above.
18; Prove: = 10
Answers
Ensuring that each person has an equal chance to maximize their potential is what equality is all about.
How is the equality property demonstrated?Proof: Given that A = B and B = C, we can infer that A = C according to the transitive principle. A = C and C = D are both true if we also know that C = D. We shall ultimately get at A = D after one more transitive property application.
The symmetrical attribute of equality
This fact, which states that if
18 + 10 =28,
then
28 = 10 + 18,
Serves as an example of the equality's symmetric property. The symmetric property of equality in mathematics is actually fairly straightforward. According to this principle, if a = b, then b =a.
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PLEASE I NEED YOUR HELP
Answers
Answer:
opposite sides of a parallelogram are congruent
Step-by-step explanation:
c x 3 c 9 7. followingis a statement of a theorem which can be proven using the quadratic formula. for this theorem, a, b, and c are real numbers. theorem if f is a quadratic function of the form f .x/ d ax2 c bx c c and ac < 0, then the function f has two x-intercepts. using only this theorem, what can be concluded about the functions given by the follo
Answers
The conclusion about given functions are given below.
Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).
We have the following theorem:
If f is a quadratic function of the form f(x) = ax²+bx+c and ac < 0 , then the function f has two x-intercepts.
(a) g(x) = -8x²+5x-2
For this function a = -8 and c = -2, then -8 × -2 = 16 is greater than zero. Therefore, we cannot conclude anything.
(b) h(x) = \(-\frac{1}{3}x^{2} + 3x\)
For this function a = -8 and we don't know the value of c. Therefore, we cannot conclude anything.
(c) k(x) = 8x²-5x-7
For this function a = 8 and c = -7, then 8 × -7 = -56 is less than zero. Therefore, we can conclude that the function k has two x-intercepts.
(d) j(x) = \(-\frac{71}{99}x^{2} + 210\)
For this function a = \(-\frac{71}{99}\) and c = 210, then \(-\frac{71}{99}\) × 210 = \(-\frac{4970}{33}\) is less than zero. Therefore, we can conclude that the function k has two x-intercepts.
(e) f(x) = 4x²-3x+7
For this function a = 4 and c = 7, then 4×7 = 28 is greater than zero. Therefore, we cannot conclude anything.
(f) F(x) = \(-x^{4} + x^{3} + 9\)
We cannot conclude anything because this is not a quadratic function.
The conclusion about given functions are given above in explanation.
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complete question : Following is a statement of a theorem which can be proven using the quadratic formula. For this theorem, a, b, and c are real numbers. Theorem If f is a quadratic function of the form f .x/ D ax2 C bx Cc and ac < 0, then the function f has two x-intercepts. Using only this theorem, what can be concluded about the functions given by the following formulas(a) g (x) = -8x^2 + 5x - 2 (b) h (x) = -(1/3)x^2 + 3x (c) k (x) = 8x^2 - 5x - 7 (d) j (x) = -(71/99)x^2 + 210 (e) f (x) = 4x^2 - 3x + 7 (f) F (x) = -x^4 + x^3 + 9
Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below
Answers
The required coefficients are:4, -1, -11, and 7.
Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.
In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.
In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.
We need to consider the polynomial:
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:
4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn
Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2
Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn
Taking the coefficients of the constant terms6 + 2 - 1 = 7
Therefore, the required coefficients are:4, -1, -11, and 7.
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The mean length of 6 rods is 44.2 cm. The mean length of 5 of them
is 46 cm. How long is the sixth rod?
Answers
===============================================
Work Shown:
x = sum of all 6 lengths
x/6 = mean of the 6 lengths
x/6 = 44.2
x = 6*44.2
x = 265.2
All 6 lengths add up to 265.2 cm.
---------
y = sum of the first 5 lengths
y/5 = mean of those first 5 lengths
y/5 = 46
y = 5*46
y = 230
The first five lengths add up to 230 cm.
---------
z = length of the 6th rod, length is in cm
y+z = (length of first 5 rods)+(length of 6th rod)
y+z = x
230+z = 265.2
z = 265.2-230
z = 35.2
The sixth rod is 35.2 cm
The difference of twice a number and seven is 17. Find the number.
Answers
+ +7
2n = 24
2 2
N = 12
Can someone help me answer this problem on ixl!!
Answers
Answer:
20 blogs
Step-by-step explanation:
Step 1: Determine the proportion of pop culture blogs:
First, we need to determine the proportion of pop culture blogs already written. We can do this by dividing the number of pop culture blogs already written by the total number of blogs written:
The proportion of pop culture bloggers = Number of pop culture bloggers / Total number of bloggers
Proportion = 26 / (20 + 26 + 7 + 12)
Proportion = 26 / 65
Proportion = 0.4
Step 2: Multiply the proportion of pop culture blogs by the number of upcoming blogs:
To determine the expected number of pop culture blogs that will be written given the data, we can multiply the proportion of pop culture blogs already written by the number of upcoming blogs:
Expected number of pop culture blogs = proportion of pop culture blogs * number of upcoming blogs
Expected number = 0.4 * 50
Expected number = 20
Thus, you should expect 20 pop culture blogs to be written given the data.
what is the correct procedure when you want to do a test of the population mean but the population standard deviation is unknown? select all that apply.
Answers
When the population standard deviation, is unknown, a hypothesis test for the population mean is conducted the same way as if the population standard deviation were known. The t-distribution is used instead of the conventional normal distribution, which is the only distinction (z-distribution).
The following quote is from a paper on the weight of the bottle as a possible extrinsic cue with which to estimate the price (and quality) of the wine.
The weight of the wine bottles was positively correlated (r=0.13) with the price of the wine.
1. Does the value Of the correlation coefficient indicate that the relationship is weak, moderate, or strong?
a. Weak
b. Moderate
c. Strong
2. What is the value of r^2? Write a sentence that gives an interpretation of this value.
Answers
Answer:
1. a. Weak
2. r^2=0.0169
The variation in the price of the wine explained by the variation in the weight of the bottle is 1.69%.
Step-by-step explanation:
The correlation between the weight of the wine bottles and the price of the wine is r=0.13.
The values for r goes from r=-1, where a perfect negative correlation to r=1 for a perfect positive correlation. The value r=0 indicates no correlation at all.
Then, a value of r close to 0 indicates very weak correlation between the two variables.
The value for r^2 in this case is:
\(r^2=0.13^2=0.0169\)
The value of r2 can be interpreted as the proportion of the variation in the dependant variable explained by the independent vairable. In this case, the variation in the price of the wine explained by the variation in the weight of the bottle is 1.69%, which is very close to 0.