The number of students who will be going on the trip is B. 40 students.
What is a mathematical expression?A mathematical expression is a rule-based set of numbers, variables, and mathematical operations performed to compute the output value.
The mathematical operations used to solve mathematical expressions include additions, subtractions, divisions, and multiplications.
Data and Calculations:The total of the weekend trip = $4,030
The cost of cleaning for the bus = $30
The cost of food and lodging per student = $60
The bus charge per student = $40
Total cost per student = $100 ($60 + $40)
The total cost, y = 4,030 - 30 - 100x
The number of students = x
x= (4,030 - 30)/100
= (4,000/100)
= 40.
Thus, the number of students who will be going on the trip is B. 40 students.
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What percent of a circle is 2/3 of a circle?
Answer: 66.66%
Step-by-step explanation:
1=100%
2/3=
1*2/3=
100%*2/3=
200%/3=66.66%
Larry weighs 120 pounds and rides his bike at an average speed of 12 miles per hour. Jason weighs 90 pounds and rides his bike at an average speed of 9 miles per hour. Larry and Jason start at the same place and ride their bikes in opposite directions. How far apart, in miles, will Larry and Jason be after riding their bikes for 10 minutes? And Identify the information that is NOT needed to determine how far apart Larry and Jason will be after riding their bikes for 10 minutes.
After riding their bikes, Larry and Jason will be 3.5 miles apart after 10 minutes of their start.
We have Larry and Jason riding their bikes at the speed of 12 miles/hr and 9 miles/hr respectively in opposite directions.
We have to determine how far apart, in miles, will Larry and Jason be after riding their bikes for 10 minutes.
How will you calculate the distance traversed by a body ?The distance travelled can be calculated using the formula -
distance = speed x time
According to the question -
Average speed of Larry = 12 miles/hr
The distance covered by Larry in 10 minutes = d [1] = 12 x 10/60 =
2 miles.
Average speed of Jason = 9 miles/hr
The distance covered by Jason in 10 minutes = d [2] = 9 x 10/60 =
1.5 miles.
Distance between Jason and Larry after 10 minutes -
d[1] + d[2] = 2 + 1.5 = 3.5 miles.
Hence, Larry and Jason will be 3.5 miles apart after 10 min of riding in the opposite directions.
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A vintage car costs $32,000 when purchased. The car increases in value by approximately 7% at the end of each year, x, after it is purchased. Which inequality can be used to find the years the car is worth more than $75,000?
Answer:
[tex]32000( {1.07}^{x} ) > 75000[/tex]
The required inequality represents the worth of the car more than $75,000 is 32000[1.07]ˣ > 75000.
Given that,
A vintage car costs $32,000 when purchased. The car increases in value by approximately 7% at the end of each year, x, after it is purchased.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
According to the question,
The relationship of the cost of the car after x year,
= 32000[1 + 0.07]ˣ
= 32000[1.07]ˣ
Now, this cost should be more than $75000
So,
32000[1.07]ˣ > $75000
Thus, the required inequality represents the worth of the car more than $75,000 is 32000[1.07]ˣ > 75000.
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PLS HELP ASAP
(50 POINTS)
What is the
value of the function when x = -2?
Enter the answer in the box.
Answer: 334.600
Step-by-step explanation:
I should be that, you have to look at the line
Answer:
The right answer would be 1
Step-by-step explanation:
Note: Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma ($2,354.67). All percentage values in the answers need to include a percentage sign (%). For all items without specific rounding instructions, round your answers to two decimal places, show both decimal places (5.06).
A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the United States will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day. If the data are normally distributed, find the percentage of these families who spent:
a. Less than $167 per day. _____
b. Less than $367 per day. _____
c. More than $247 per day. _____
d. More than $350 per day. _____
e. Less than $67 per day. ______
f. Between $200 and $300 per day. _____
g. Between $360 and $400 per day. _____
h. More than the median. ____
i. Less than the mean. _____
Using the normal distribution, the percentages are given as follows:
a) 9.18%.
b) 97.72%.
c) 50%.
d) 4.27%.
e) 0.13%.
f) 59.29%.
g) 2.46%.
h) 50%.
i) 50%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.For this problem, the mean and the standard deviation are given as follows:
[tex]\mu = 247, \sigma = 60[/tex]
For item a, the proportion is the p-value of Z when Z = 167, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (167 - 247)/60
Z = -1.33.
Z = -1.33 has a p-value of 0.0918.
Hence the percentage is of 9.18%.
For item b, the proportion is the p-value of Z when Z = 367, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (367 - 247)/60
Z = 2.
Z = 2 has a p-value of 0.9772.
Hence the percentage is of 97.72%.
For item c, the proportion is one subtracted by the p-value of Z when X = 247, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (247 - 247)/60
Z = 0
Z = 0 has a p-value of 0.5.
Hence the percentage is of 50%.
For item d, the proportion is one subtracted by the p-value of Z when X = 350, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (350 - 247)/60
Z = 1.72
Z = 1.72 has a p-value of 0.9573.
1 - 0.9573 = 0.0427.
Hence the percentage is of 4.27%.
For item e, the proportion is the p-value of Z when Z = 67, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (67 - 247)/60
Z = -3.
Z = -3 has a p-value of 0.0013.
Hence the percentage is of 0.13%.
For item f, the proportion is the p-value of Z when X = 300 subtracted by the p-value of Z when X = 200, hence:
X = 300:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (300 - 247)/60
Z = 0.88.
Z = 0.88 has a p-value of 0.8106.
X = 200:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (200 - 247)/60
Z = -0.78.
Z = -0.78 has a p-value of 0.2177.
0.8106 - 0.2177 = 0.5929.
Hence the percentage is 59.29%.
For item g, the proportion is the p-value of Z when X = 400 subtracted by the p-value of Z when X = 360, hence:
X = 400:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (400 - 247)/60
Z = 2.55.
Z = 2.55 has a p-value of 0.9946.
X = 360:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (360 - 247)/60
Z = 1.88.
Z = 1.88 has a p-value of 0.97.
0.9946 - 0.97 = 0.0246
Hence the percentage is 2.46%.
For items h and i, the distribution is symmetric, hence median = mean and the percentages are of 50%.
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12. Damian can make 3 free-throw shots in
10 seconds and 18 free-throw shots in
1 minute. What is the constant of
proportionality?
The constant of proportionality is 0.3.
How to calculate the constant?From the information, Damian can make 3 free-throw shots in 10 seconds and 18 free-throw shots in 1 minute.
Therefore, we can choose any of the figures to solve the question since it is constant.
The constant of proportionality will be:
= Number of throes / Time taken
= 3/10
= 0.3
The constant of proportionality is 0.3.
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In 1990, the cost of tuition at a large Midwestern university was $94 per credit hour. In 2004, tuition had risen to $290 per credit hour.
Determine a linear function
C
(
x
)
to represent the cost of tuition as a function of
x
, the number of years since 1990.
The linear function c(x) to represent the cost of tuition as a function of "the number of years since 1990" denoted by "x" is [tex][c(x) = 14x+94][/tex].
As per the question statement, the cost of tuition at a large Midwestern university was $94 per credit hour in 1994 while it had risen to $290 per credit hour in 2004.
We are required to determine a linear function c(x) that represents the cost of tuition as a function of "the number of years since 1990", denoted by "x".
To solve this question, we need to know the equation of a line passing through two points (x₁, y₁) and (x₂, y₂) which goes as
[tex](y-y_{1} )=(\frac{y_{2} -y_{1} }{x_{2} -x_{1}})(x-x_{1})[/tex].
Here, if we consider (x = 0) at 1990, c(x) = 94.
And since the standard form of conversion of functions into coordinate points goes as [y = f(x)], i.e., the ordinate is a function of the abscissa, therefore in this case, [y = c(x) = 94].
Thus, we can consider (x₁, y₁) as (0, 94).
Similarly, at 2004, [x = (2004-1990) = 14], and c(x) = 290, i.e.,
We can consider as (x₂, y₂) as (14, 290).
Using the values of (x₁, y₁) and (x₂, y₂), in the above mentioned standard equation of line passing through two points, we get,
[tex](y-94)=\frac{290-94}{14-0} (x-0)\\or, (y-94)=\frac{196}{14}x\\or,(y-94)=14x\\or,y=14x+94[/tex].
Hence, the linear function c(x) that represents the cost of tuition as a function of "the number of years since 1990", denoted by "x" is [tex][c(x) = 14x+94][/tex].
Linear Function: In Mathematics, a function is an operator which when provided with a input, gives a certain output, and when a function can be depicted in form of a linear equation, it is known as a linear function.To learn more about Linear Functions, click on the link below.
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Joseph Selects a card from a standard deck of 52 cards and then replaces it afterwards he decides to record the total number of red cards that he selects and calculates the proportion of red cards that he has selected so far after each pick he then constructs a graph to visualize his results
The answer to the given question is Option B.
Probability means possibility. A branch of mathematics that deals with the occurrence of random events. Probability is a measure of the likelihood of an event occurring. Many events cannot be predicted with absolute certainty.We can only predict the probability that an event will occur. H. Possibility of using it. Probabilities can range from 0 to 1. 0 means the event is not possible, 1 indicates the specific event. For example, if you toss a coin, you get either heads or tails. There are only two possible outcomes (H, T). But if you toss two coins in the air, three events can occur, such as ), (T, T). Probability of an event occurring P(E) = number of favorable outcomes/total number of outcomes.At no point can we distinguish between diamonds and hearts, as we are only interested in finding red cards. as a result,
The wrong statement is:
For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.
Therefore, the ultimate answer to the given question is Option B.
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The question is incorrect, The correct question is
Joseph selects a card from a standard deck of 52 cards and then replaces it afterwards. He decides to record the total number of red cards that he selects and calculates the proportion of red cards that he has selected so far after each pick. He then constructs a graph to visualize his results. Which of the following statements is FALSE?
A. The theoretical probability for selecting a red card in each pick is 0.5.
B. For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.
C. This is an example of the law of large numbers.
D. The relative frequency of selecting a red card changes with the increase in number of selections.
SOMEONE PLEASE HELPPPO
By evaluating the functions we get:
f(3)= -15f(-2) = -1g(4) = 23g(-5) = 77g(a) = 3*a^2 - 3*a - 13How to evaluate a function?Here we have the two functions:
f(x) = -2x - 5
g(x)= 3x^2 - 3x - 13
And we want to evaluate them in some values of x, first let's do the ones for f(x).
We just replace the variable x by the numbers.
f(3)= -2*3 - 5 = -10 - 5 = -15
f(-2) = -2*(-2) - 5 = 4 - 5 = -1
The ones for the function g(x) are:
g(4) = 3*4^2 -3*4 -13 = 23
g(-5) = 3*(-5)^2 - 3*(-5) - 13 = 77
g(a) = 3*a^2 - 3*a - 13
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Carl’s grandfather is exactly 5 times older than Carl.
Which three statements must be true?
please help me
12 pages in 2 days = pages per day Submit
Answer:
6
Step-by-step explanation:
Answer:
6 pages per day
Step-by-step explanation:
Cristian made an ankle bracelet using 6 red beads, 10 green beads, 4 purple beads, and 5 yellow beads. He wants to make a necklace that has the same ratio of color beads as the ankle bracelet. If the necklace has 15 yellow beads, how many purple beads will it have?
Answer:
Step-by-step explanation:
20
light travels about 186,000 mi / s. The function d(t) = 186,000t gives the distance d(t), in miles, that light travels in t seconds. How far does light travel in 36 s?
The distance that the light travels on 36 seconds is 6696000 miles.
How to calculate the distance?From the information, it was illustrated that light travels about 186,000 mi/s and the function d(t) = 186,000t gives the distance.
Therefore, the distance in 36 seconds will be:
d(t) = 186,000t
= 186000 × 36
= 6696000 miles.
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m-4=2m
Help on two step equations
Answer:
m = -4
Step-by-step explanation:
You want the solution to the "two step" equation m -4 = 2m.
Two-step equationA "two-step" linear equation is one that can be solved in two steps. The steps in general are ...
addition of somethingmultiplication by somethingThe "inverse" properties of addition and multiplication are used to identify the quantities added or multiplied.
Forms of a two-step equationThere are two forms a two-step equation might take:
ax +b = c
ax +b = cx
You will notice that one side of the equal sign has a sum of two terms: a term with the variable, and a constant term without the variable. The other side of the equation will have one term, which may be either a constant term or a variable term.
First stepThe idea of the first step is to make sure the variable term ends up on one side of the equal sign, and the constant term ends up on the other side.
The parts of the first step are ...
identify the kind of term on the side of the equation with one termidentify the term of the same kind on the other side of the equal signadd the opposite of that identified term to both sides of the equation.For the given equation ...
m - 4 = 2m
The term by itself is a variable term. The variable term on the other side of the equation is "m". The first step will be to add "-m" to both sides of the equation.
m -4 -m = 2m -m . . . . . . -m added to both sides
-4 = m . . . . . . . . . . . . . simplify
Now, we have a variable term (m) on one side of the equal sign, and a constant term (-4) on the other side. This is the desired result of the first step.
Second stepThe idea of the second step is to make the coefficient of the variable be 1. We do that by multiplying both sides of the equation by the reciprocal (inverse) of the coefficient of the variable.
For the equation ...
ax = b
we multiply by the reciprocal of 'a', which is 1/a.
(ax)(1/a) = b(1/a)
x = b/a . . . . . . . . . . . effectively, we're dividing by 'a'
In the given equation, we have ...
-4 = m
which already has a coefficient of 1 on the variable m. This means we're done, and no additional step is actually needed.
The solution is m = -4.
__
Additional comment
There is another form of 2-step equation you may see occasionally:
a(x +b) = c
Solving this can be done by reversing the order of the steps: first divide by the coefficient of x, then subtract the constant.
x +b = c/a
x = (c/a) -b
If the variable term inside parentheses has a coefficient other than 1, it may be useful to eliminate parentheses using the distributive property, then solve like a regular 2-step equation.
What is the remainder of (2x^(3)+2x^(2)-9x+9) -:- (x+3)?
The remainder of (2x^(3)+2x^(2)-9x+9) -:- (x+3) is 54
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the remainder?The quotient expression is given as
(2x^(3) + 2x^(2) - 9x + 9) -:- (x+3)
Set the divisor of the expression to 0
So, we have
x + 3 = 0
Evaluate the value of x
So, we have
x = -3
Substitute 3 for x in 2x^(3) + 2x^(2) - 9x + 9
So, we have
2(3)^(3) + 2(3)^(2) - 9(3) + 9
Evaluate the expression
So, we have
54
Hence, the remainder of (2x^(3)+2x^(2)-9x+9) -:- (x+3) is 54
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Does 8 over 10 plus 7 over 100 represents 0.87
Answer: Yes because it equals 87/100 which in decimal form is 0.87.
Step-by-step explanation:
europa why do you keep deleting my answers and questions im just answering questions honestly and also im just asking honest questions like: who is ´The Brain´ and how does he have so many coins but doesnt ever answer and the such, im just a little curious and ur ruining the fun
Answer:
hahah thats funny
Step-by-step explanation:
Jade earned $20 for walking 4 dogs. If the ratio of money earned to dogs walked is constant, how many more dogs will she need to walk to earn a total of $100?
Answer:
Jade would need to walk 16 more dogs to earn $100 total.
Step-by-step explanation:
20 divided by 4 equals 5, so that means Jade is earnings $5 per dog. Just multiply 5 for each dog Jade walks, and you have your answer! If she already walked 4 dogs and made $20, then do 5 times 16 for your answer.
The camera Melissa wanted for her birthday is on sale at 44% off the usual price. The amount of the discount is $96.80. What was the original price of the camera?
The original price of the camera is $220.00 based on the fact that discount of 44% is $96.80
What portion of the original price is the discount?
The discount of $96.80 in dollar terms, represents 44% of the original of the camera, in other words, we can determine the 1% of the original price of the camera by dividing the discount of $96.80 by 44
1% of the original price of the camera=$96.80/44
1% of the original price of the camera=$2.20
100% of the original price=1% of the original price of the camera*100
100% of the original price=$2.20*100
100% of the original price=$220.00
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Mum bought some steaks . She put 2/5 of them in the refrigerator and the rest in the freezer . She put 12 in the freezer . How many streaks did she buy
Answer: 20 steaks
Step-by-step explanation: 12x0.6= 20
Please help me on this one’
Evaluate m•s when m=2 and s=5
The value of the expression m • s will be 10 after evaluating it for m = 2 and s = 5.
We are given an expression:
m • s
We need to evaluate the expression for m = 2 and s = 5
So, after substituting the values in the expression, we get that:
m • s
= ( 2 ) • ( 5 )
Multiplying the values, we get that:
= 10
Therefore, the value of the expression m • s will be 10 after evaluating it for m = 2 and s = 5.
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1.8x7+3 (1 point)
o 67
o 80
o 59
o 18
What is the value of the quantity negative one sixth cubed all raised to the power of negative 3? 10,077,696 1 −1 −10,077,696
Answer:-20 238
Step-by-step explanation:
Answer: The answer is not that
Step-by-step explanation:
The answer would be 1.
Which function has an inverse that is a function?
Find the perimeter of the triangle whose vertices are (−3,−1), (1,−1), and (1,2). Write the exact answer
According to the solving the perimeter of the tringle = 12 cm.
What is the formula for triangle perimeter?Add the lengths of the triangle's sides to find its perimeter. For instance, if a triangle comprises sides a, b, as well as c, the perimeter of the that triangle is P = a + b + c.
What exactly is a 2D shape?2D objects have two dimensions, for example, width and height. A rectangle or even a circle are two-dimensional shapes. Because they have without depth, 2D forms are absolutely flat and can not be physically handled.
According to the given data:Points of the tringles:
A (−3,−1),
B (1,−1),
C (1,2)
we know that the:
Perimeter of the triangle = sum of all the side of the triangle
= AB + BC + CA
So
Length of the AB :
A (−3,−1),
B (1,−1),
AB =√((x2 – x1)² + (y2 – y1)²).
AB = √((1 – (-3))² + (-1 – (-1))²).
AB = √((4) + (0))
= √(16)
= 4
Length of the BC :
B (1,−1),
C (1,2)
BC =√((x2 – x1)² + (y2 – y1)²).
BC =√((1 – 1)² + (2 – (-1))²).
BC =√(0)² + (3)²).
BC = √(9)
= 3
Length of the CA:
A (−3,−1),
C (1,2)
CA =√((x2 – x1)² + (y2 – y1)²).
CA =√((1 – (-3))² + (2 – (-1))²).
CA =√((4))² + (3)²).
CA =√(16 + 9)
CA =√(25)
= 5
The perimeter of the triangle asked = AB + BC + CA
= 4 + 3 + 5
= 12 cm
According to the solving the perimeter of the tringle = 12 cm.
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I am a two digit multiple of eleven. I am not odd. My digits, when multiplied, make a cube and a square out of me. What number am I? (30 pts) Explain and prove your answer. (70 pts)
The digit that when multiplied, make a cube and a square out of the number is 88.
How to calculate the value?It should be noted that this has to do with mental reasoning.
It should be noted that 8 × 8 = 64. This is the square of 8.
Also, it should be noted that 4 × 4 × 4 = 64. This gives the cube value.
Therefore, the number is 88.
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what is 99 divided by 3
Answer: 33
Step-by-step explanation:
3*33=99
Answer: 33
Step-by-step explanation:
9/3 = 3
90/3 = 30
99/3 = 33
If mpoq =19 mqor=31 and ros = 15 what is mpos
The m∠POS would be - 65° by the angle addition postulate and substitution postulate.
Given, m∠POQ = 19° , m∠QOR = 31° and m∠ROS = 15°
Angle Addition Postulate is the measure of the larger angle is the sum of the measures of the two smaller angles.
Substitution postulate states that a quantity may be substituted for its equality in any expression.
Then substitute the angle measurements into the resulting equation to find, m∠POS:
m∠POQ + m∠QOR = m∠POR (by angle addition)
m∠POR + m∠ROS = m∠POS (by substitution)
m∠POS = m∠POQ + m∠QOR + m∠ROS
= 19° + 31° + 15°
= 65°
Thus, the m∠POS would be - 65° by the angle addition postulate and substitution postulate.
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X N How many lines of symmetry does the pattern have? b What is the order of rotational symmetry of the pattern?
Answer:
The answer is 5
Step-by-step explanation:
From every side