1. Mindy's high school class has a total of 150 students and they are planning a field trip. The school has
small buses and vans to transport all students. Each van can seat 8 students and each bus can seat 14
students. There are only 15 drivers, so the total number of vehicles that they can take must be 15. How
many of each vehicle will Mindy's qass need to transport everyone?!
a. Write a system of equations to describe the situation.
Answers
Answer:
Step-by-step explanation:
150 students van holds 8 students small bus holds 14 students
with only 15 drivers you can only have 15 vehicles
v = vans b = buses
eq 1) v + b = 15
eq 2) 8v + 14b = 150
eq 1) into eq 2) the combined equations
v = 15 - b ----> 8v + 14b = 150 ----> 8(15 - b) + 14b = 150
8(15 - b) + 14b = 150 solve for b
120 - 8b + 14b = 150 collect terms and subtract 120 from both sides
120 -120 + (14 - 6)b = 150 -120
6b = 30
b = 30/6
b = 5
noe find the number of vans
v + b = 15
v = 15 - b
v = 15 - 5
v = 10
Related Questions
Find the area of parallelogram ABCD given m∠A = 30° and the following measures. AD = in.; AB = 8 in. A=
32 in.²
32√3 in.²
16√3 in.²'
Answers
Answer: Given that a parallelogram ABCD has sides AB= 6 ft and AX = 3√3
Angle A =30
To find the area of the parallelogram
We have area of parallelogram = base x height
Here base can be taken as side AB = 6 ft
Height = perpendicular distance of AB from vertex X
= AX sin A
= 3√3sin30
=1.5√3
Hence area =6(1.5√3)=9√3ft^2
MARK ME BRAINLIST
HOPE IT IS HELPFUL
Answer:
16√3 in.²'
Step-by-step explanation:
Hope this helps, sorry for answering late.
1. Solve the equations: (c) 6x^4 - 5x^2 + 1 = 0; d) x^4 - 4x^2 - 5 = 0;
Answers
To solve these equations let us consider x^2 = y Then x^4 = y^2.
Now,
(c). 6y^2 - 5y + 1 = 0
\(\begin{gathered} 6y^2-5y+1=0 \\ By\text{ using middle term splitting we have} \\ 6y^2-3y-2y+1=0 \\ 3y(2y-1)-1(2y-1)=0 \\ (3y-1)(2y-1)=0 \\ y=\frac{1}{3}\text{ and y = }\frac{1}{2} \end{gathered}\)Now, the solution will be
\(\begin{gathered} x^2=y \\ x^2=\frac{1}{3}\text{ and x}^2=\frac{1}{2} \\ x=\pm\frac{1}{\sqrt{3}}\text{ and x = }\pm\frac{1}{\sqrt{2}} \end{gathered}\)Hence this is the required solution.
(d). y^2 - 4y - 5 = 0
\(\begin{gathered} y^2-4y-5=0 \\ by\text{ using middle term splitting} \\ y^2-5y+y-5=0 \\ y(y-5)+1(y-5)=0 \\ (y-5)(y+1)=0 \\ y=5\text{ and y = -1} \end{gathered}\)Now the solution will be
\(\begin{gathered} x^2=y \\ x^2=5\text{ and x}^2=-1 \\ x=\pm\sqrt{5}\text{ and x=}\pm\sqrt{-1}=\pm1i \end{gathered}\)Hence this is the required solution.
find the value using x
Answers
Work Shown:
9/12 = (x+4)/(2x)
9(2x) = 12(x+4)
18x = 12x+48
18x-12x = 48
6x = 48
x = 48/6
x = 8
1Last year, a city received 16.4 inches of snow. This year, the same city received 7.91 inches of snow
What was the difference in the amounts of snowfall?
08.49 inches
8.51 inches
9.87 inches
9.51 inches
Answers
Answer: 8.49 inches
Step-by-step explanation:
16.4-7.91=8.49 inches
quizlewhat is the measure that indicates how precise a prediction of y is based on x or, conversely, how inaccurate the prediction might be?
Answers
The residual standard error is a useful measure of the precision and accuracy of a regression model's predictions, and it helps to assess the goodness of fit of the model.
What is indetail explaination of the answer?The measure that indicates how precise a prediction of y is based on x or how inaccurate the prediction might be is called the residual standard error (RSE).
RSE is a measure of the variation or dispersion of the errors (or residuals) in a regression model. It is calculated by taking the square root of the sum of the squared residuals divided by the degrees of freedom.
The RSE provides an estimate of the standard deviation of the errors, and it is expressed in the same units as the response variable y.
In other words, the RSE measures the average distance that the observed values deviate from the predicted values in the regression model.
A smaller RSE indicates that the model is better at predicting the response variable, while a larger RSE indicates that the model has higher prediction error and may not be as accurate.
In summary, the residual standard error is a useful measure of the precision and accuracy of a regression model's predictions, and it helps to assess the goodness of fit of the model.
Learn more about residual standard error.
brainly.com/question/30613348
#SPJ11
The measure that indicates how precise a prediction of y is based on x, or conversely, how inaccurate the prediction might be, is called the residual standard error (RSE). The RSE is a measure of the average distance that the observed values fall from the predicted values, and it is typically expressed in the same units as the response variable (y). A smaller RSE indicates a better fit of the model to the data, and a larger RSE indicates a poorer fit.
If the probability of a student taking a math class is 0.70, the probability of taking a physics class is 0.30, and the probability of taking a math class and a physics class is 0.15, what is the probability of a student taking a math class or a physics class
Answers
The probability of a student taking a math class or a physics class is \(0.85\) when the probability of a student taking a math class is \(0.70\), the probability of taking a physics class is \(0.30\), and the probability of taking a math class and a physics class is \(0.15\)
How can we find the probability of taking math class or a physics class ?
Given in the question probability of the student taking class
\(p(M)=0.70\\p(P)=0.30\\p( M and P)=0.15\)
So we use the probability union intersection formula
\(p(M or P)=p(M)+p(P)-p(M and P)\)
Substitute the values
\(p(M or P)=0.7+0.3-0.15\\=0.85\)
Learn more about probability here :
https://brainly.com/question/28045837
#SPJ4
Multiple choice lines question. Please help
Answers
Considering their slopes, these two lines, Line 1 and Line 2, are perpendicular.
When are lines parallel, perpendicular or neither?The slope, given by change in y divided by change in x, determines if the lines are parallel, perpendicular, or neither, as follows:
If they are equal, the lines are parallel.If their multiplication is of -1, they are perpendicular.Otherwise, they are neither.In this problem, the slopes are given as follows:
m1 = (4 - (-5))/(1 - (-2)) = 3.m2 = (4 - 6)/(6 - 0) = -1/3.The multiplication is given by:
3 x -1/3 = -1.
Hence they are perpendicular.
More can be learned about the slope of a line at brainly.com/question/12207360
#SPJ1
A political gathering in South America was attended by 7,910 people. Each of South America's 14 countries was equally represented. How many representatives attended from each country.
Answers
Answer:
Each country will have a representative of 565 people in that political gathering.
Step-by-step explanation:
Given the following limits, calculate the limits below, if they exist. (If it does not exist, enter NONE.)
lim_(x->2) f(x) = 1
lim_(x->2) g(x) = -4
lim_(x->2) h(x) = 0
Answers
To calculate the limits below, we can use basic limit rules and arithmetic operations.
lim_(x->2) [f(x) + g(x)]
= lim_(x->2) f(x) + lim_(x->2) g(x) (by limit laws)
= 1 + (-4)
= -3
We can use the limit laws to add the limits of f(x) and g(x) since they are both approaching the same point, 2. Then, we can simply add the values of the limits to get the limit of their sum.
lim_(x->2) [g(x) - f(x)h(x)]
= lim_(x->2) g(x) - lim_(x->2) [f(x)h(x)] (by limit laws)
= -4 - [lim_(x->2) f(x)] [lim_(x->2) h(x)] (by limit laws and arithmetic operations)
= -4 - 1(0)
= -4
Again, we can use the limit laws to subtract the limit of f(x) multiplied by h(x) from the limit of g(x). To find the limit of f(x) multiplied by h(x), we can use the product rule for limits and multiply the limits of f(x) and h(x) together.
lim_(x->2) [g(x)/f(x)]
= [lim_(x->2) g(x)] / [lim_(x->2) f(x)] (by limit laws)
= -4 / 1
= -4
We can use the limit laws to divide the limit of g(x) by the limit of f(x) since they are both approaching the same point, 2.
The limits of [f(x) + g(x)], [g(x) - f(x)h(x)], and [g(x)/f(x)] as x approaches 2 are -3, -4, and -4, respectively.
To know more about divide visit :-
https://brainly.com/question/15381501
#SPJ11
Help me Please
The boy scouts are selling popcorn for $25 a bag. They have already sold $525 worth and want to make at least $5750. Write an inequality to find the least number of bags of popcorn they need to sell to reach their goal. How many bags is that?
Answers
Answer:
B ≥ 209
Step-by-step explanation:
This is the equation - 25b + 525 ≥ 5750 .
Comment if I solved it incorrectly ;-;
The difference of the two numbers is 2 The sum of the same two numbers is 6. Write the numbers from least to greatest.
Answers
Answer:
2 and 4
Step-by-step explanation:
The difference of 4 and 2 is 2 because 4-2=2, and this matches the first part of the question. 4+2=6, and this is true because it matches the second part of the question. Hope this helps and please mark brainliest! :D
Derrick is able to type 90 words in 18 minutes. How many words is he able to type in 9 minutes
Answers
Answer:
45 words in 9 minutes
Step-by-step explanation:
90/18= 5 words per minutes
5*9= 45
A company manufactures a certain over-the-counter drug. The company samples 80 pills and finds that the mean amount of drug in the pills is 325.5 mg with a standard deviation of 10.3 mg. Find the 90% confidence interval for the mean of all the pills.'
Answers
To find the 90% confidence interval for the mean amount of drug in all the pills manufactured by the company, we can use the following formula: CI = X ± Zα/2 * (σ/√n).
Where:
X = sample mean = 325.5 mg
σ = sample standard deviation = 10.3 mg
n = sample size = 80
Zα/2 = the critical value of the standard normal distribution corresponding to a 90% confidence level, which is 1.645.
Plugging in the values, we get:
CI = 325.5 ± 1.645 * (10.3/√80)
CI = 325.5 ± 2.38
CI = (323.12, 327.88)
Therefore, we can say with 90% confidence that the mean amount of drug in all the pills manufactured by the company is between 323.12 mg and 327.88 mg.
1. Calculate the standard error (SE) by dividing the standard deviation by the square root of the sample size:
SE = 10.3 mg / √80 ≈ 1.15 mg
2. Find the critical value (z) for a 90% confidence interval using a standard normal distribution table or calculator. In this case, the critical value is approximately 1.645.
3. Calculate the margin of error (ME) by multiplying the critical value (z) by the standard error (SE):
ME = 1.645 × 1.15 mg ≈ 1.89 mg
4. Determine the confidence interval by adding and subtracting the margin of error from the sample mean:
Lower Limit = 325.5 mg - 1.89 mg ≈ 323.61 mg
Upper Limit = 325.5 mg + 1.89 mg ≈ 327.39 mg
Thus, the 90% confidence interval for the mean amount of drug in all the pills manufactured by the company is approximately 323.61 mg to 327.39 mg.
To know more about value click here
brainly.com/question/30760879
#SPJ11
PLEASE HELP!!!!
All I need to know is the area.
Answers
Answer:
45
Step-by-step explanation:
Draw an imaginary line from F to S. We then break this into 2 parts:
1. Evaluate the area of triangle SFN
The base of the triangle is FS, who has length 9. The height is the vertical line that passes through point N and FS, and that line has length 6. The area would then be 9*6/2=27.
2. Evaluate the area of rectangle SCWF
WC has length 9. FW has length 2. The area would then be 9*2=18.
-x= x – 10
How many solutions does this equation have?
A.Infinitely many solutions
B.No solutions
C.Two solutions
D. One solution
Answers
Answer:
D
Step-by-step explanation:
Answer: One if any.
-x = x - 10 Add x to both sides
-x+x = x + x - 10 Combine
0 = 2x - 10 Add 10 to both sides
10 = 2x - 10+10 Combine
10 = 2x Divide by 2
10/2=2x/2
x = 5
Definite Answer: One Solution
A plane, initially traveling 150 mi./hr. 100 east of north, suddenly enters a region where the wind is blowing at 50 mi./hr. from the southwest.
What is the plane’s resultant direction?
Answers
Answer:
the Velocity of the plane is 100 mi/hr along the northeast direction
Step-by-step explanation:
According to the Question,
Given That, the Initial velocity of the plane is 150 mi/hr along the east north direction and the wind is blowing at 50 mi/hr along the southwest directionsince the velocity of wind and plane is exactly opposite
the relative velocity of the plane with respect to the wind is given by\(V_{r} = V_{p} -V_{w}\) , where \(V_{p}\) is the velocity of plane = 150mi/hr and \(V_{w}\) = velocity of wind = 50 mi/hr
Therefore, Relative Velocity = 150-50 ⇒ 100mi/hr along northeast directionThus, the velocity of the plane is 100 mi/hr along the northeast direction
If the density of blood is 1.060 g/ml, what is the mass of 6.56 pints of blood? [1 l = 2.113 pints]
Answers
The mass of 6.56 pints of blood is 3.92 grams.
Given
The density of blood = 1.060 g/mL and mass of 6.56 pints
We have 1L = 2.113 pints
The density of a substance can be defined as the ratio of the mass of the substance to the volume of the substance. In chemistry, density is used to measure the concentration of the substance in the solution.
The expression for density = mass/volume
ρ = m/V
m = ρV
Mass = 1.060(1000ml/1L) × 6.56(1L/ 2.113)
= 3290.8 /1000
= 3.29g
For more information about density, visit
https://brainly.com/question/952755
#SPJ4
\(6e/7=48\\\)
Answers
The solution of the given equation 6e/7 = 48 is given by, e = 56.
Equation is a mathematical statement where various numerical values, mathematical variables, mathematical operations, exponents or combination of them related via equal sign.
Given the equation is,
6e/7 = 48
We have to solve this equation and have to find the value of 'e' which satisfy this equation.
Solving the given equation we get,
6e = 48*7 [On multiplying 7 with both sides]
6e = 336
e = 336/6 [On dividing 6 from both sides]
e = 56
Hence the solution of the given equation is, e = 56.
To know more about equation here
https://brainly.com/question/17145398
#SPJ1
please help me for the brainliest answer
Answers
Answer:
1.17
Step-by-step explanation:
1 £ = 1.25 dollars
1 Euro = 1.07 dollars
=> 1 £ = (1.25/1.07) Euros = 1.17 Euros
Simplify this fraction
1^22 / 1^7
Answers
Answer:
1
Step-by-step explanation:
One to any exponent is just 1 so this fraction simplifies to 1/1 or just simply 1
Answer:
1 or 1 / 1.
Step-by-step explanation:
Square the numbers:
1^22 / 1^7
Any number squared with 1 is always 1:
1 / 1
= 1 or 1 / 1
solve the equation for x. square root of x+4-7=1 A. x=4 B.x=12 C. x=60 D.x=68
Answers
Answer:
x = 60 (Answer C)
Step-by-step explanation:
Ambiguous. I will assume that you meant:
x+4-7=1 => √(x + 4) - 7 = 1
This latter result simplifies to
√(x + 4) = 8
Squaring both sides, we get: x + 4 = 64, or x = 60 (Answer C)
The value of x is 4.
Option A is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
√(x + 4 - 7) = 1
Square on both sides.
x + 4 - 7 = 1²
x + 4 - 7 = 1
Add 7 on both sides.
x + 4 = 1 + 7
x = 8
Subtract 4 on both sides.
x + 4 - 4 = 8 - 4
x = 4
Thus,
The value of x is 4.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ5
can no one answer this question please I just need a bunch of help and I don't wanna waste all my points. So I'll make this question cost a lot so you'll be rewarded. but can you just answer my question in the comments so I can get a bunch done. This will all be 9th-grade math. Once I'm done just answer the question with whatever you want. tysmmmmm!!!!
Answers
Complete the given ordered pairs for the equation.
y = 2x + 1
(5, )
(0, )
(-2, )
Answers
Answer:
(5,11)
(0,1)
(-2,-3)
Step-by-step explanation:
y=2(5)+1
y=10+1
y=11
so... (5,11)
y=2(0)+1
y=0+1
y=1
so... (0,1)
y=2(-2)+1
y=-4+1
y=-3
so... (-2,-3)
Suppose that 2000$ is initially invested in an account at a fixed interest rate, compounded continuously. Suppose also that, after five years, the amount of money in the account is $2403 . Find the interest rate per year.
Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
% per year
Answers
Answer:
13400
Step-by-step explanation:
Someone plz help me I beg u plz no link plz someone
Answers
AMA
the more variable the data, the _______ accurate the sample mean will be as an estimate of the population mean.
Answers
The more variable the data, the less accurate the sample mean will be as an estimate of the population mean. In statistical analysis, accuracy is important. Statistical analysis is a method of gathering and examining data to uncover useful information.
A sample mean is a numerical estimate that represents a data set's central tendency. The population mean, on the other hand, is a statistical measure that represents the mean value of the entire population. The difference between the two lies in the fact that sample mean is computed on a subset of the population whereas population mean is calculated for the entire population. If the variability of the sample data is large, the sample mean becomes less accurate as an estimate of the population mean.
As a result, the more variable the data, the less accurate the sample mean will be as an estimate of the population mean.Therefore, it is essential to examine the variability of the data in order to better estimate the population mean. The greater the variability in the data, the more difficult it becomes to identify the true population mean and the less accurate the sample mean is as an estimator of the population mean.
To know more about variable visit:
https://brainly.com/question/15078630
#SPJ11
let l be the linear operator on p 3 defined by l(p(x)) = xp′(x) p′′(x).
Answers
It's important to note that the resulting polynomial is not in P_3, as it has a degree of 4.
The student's question involves a linear operator L acting on a polynomial p(x) in P_3, the space of polynomials of degree 3 or less. The linear operator is defined as L(p(x)) = x * p'(x) * p''(x). Let's find the result of this operation step-by-step.
1. Determine the general form of a polynomial in P_3: A polynomial in P_3 has the form p(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants.
2. Compute the first derivative p'(x): To find the first derivative, differentiate p(x) with respect to x. We get p'(x) = 3ax^2 + 2bx + c.
3. Compute the second derivative p''(x): Next, differentiate p'(x) with respect to x. We get p''(x) = 6ax + 2b.
4. Compute the product x * p'(x) * p''(x): Multiply the first derivative, second derivative, and x together. We have (x)(3ax^2 + 2bx + c)(6ax + 2b).
5. Simplify the expression: After multiplying and combining like terms, we get L(p(x)) = 18a^2x^4 + 12abx^3 + 4a^2x^3 + 4b^2x^2 + 12acx^2 + 6bcx + 2cx^2.
This is the resulting polynomial after applying the linear operator L to a polynomial p(x) in P_3. However, it's important to note that the resulting polynomial is not in P_3, as it has a degree of 4.
To know more about polynomial, refer here:
https://brainly.com/question/11536910
#SPJ11
BRAINLIEST for CORRECT answer please help
Answers
Answer: The answer is B I swear
Step-by-step explanation:
Answer:
A)
Step-by-step explanation:
Just did it on Edg 2020
two functions a and b are described as follows function a: y=8x+3 function b:the rate of change is 1 and the y intercept is 4 how much more is the rate of change of function abthan the slope of function b 1 7 8 9
Answers
Answer:
7
Step-by-step explanation:
rate of change of function not necessary mean linear, it can be the slope of a tangent line.
a: y=8x+3 slope = 8
b: rate of change: 1
8-1=7
I wish this is true...
Please solve with explanation will give BRAINLIEST and Bonus Points
Answers
Let d = # of dimes
Let q = # of quarters
equation #1: number of coins
d + q = 1234
equation #2: value of coins
0.10d + 0.25q = 290.05
Solve #1 for d:
d=1234-q
Sub #1 into #2 and solve for q:
0.10d + 0.25q = 290.05
0.10(1234-q) + 0.25q = 290.05
123.4 - 0.10q + 0.25q = 290.05
0.15q = 166.65
q = 1111
Now go back to d=1234-q and sub in 1111 for q to find d:
d = 1234 - 1111
d = 123
1111 quarters and 123 dimes.