Riley bought snacks for her team's practice. She bought a bag of popcorn for $2.75 and a 8-pack of juice bottles. The total cost before tax was $18.83. How much was each bottle of juice?
Answers
Answer:
Step by step: 18,83-2,75=16,08 then 16,08:8=2,01
The answer is: 2.01
Answer: 2.01
Step-by-step explanation: if you take 18.83 dollars subtract 2.75 from it then you get 16.08so then since there’s 8 bottles each bottle must of had one cents after the dollar amount. So then you just multiply eight by a number with .1 attached then when u get 16.08 that means that is the cost for every bottle. In this case when you multiply 8 by 2.01 you get 16.08
Related Questions
please help this is so confusing u can have 25 points if u help me
share 20 pounds into the ratio 2:3
share 15cm in the ratio 1:3
Answers
Step-by-step explanation:
Share 20pounds in the ratio 2:3
Total ratio=2+3=5
2/5×20=8
20-8=12
Sharing 20pounds in that ratio gives 8pounds:12pounds
Share 15cm in the ratio 1:3
Total ratio=1+4=4
¼×15=3.75
15-3.75=11.25
Sharing 15cm in that ratio gives 3.75:11.25
Write an equation in slope-intercept form for the like with slope 3/4 and y-intercept -2?
Answers
Answer:
y=3/4x-2
Step-by-step explanation:
For a slope intercept for, you have the formula y=mx+b where you would place the slope in the spot of m and the y-intercept in the spot of b.
Evaluate f(3) given f(X) = 12x-4
Answers
Step-by-step explanation:
12x-4-f(x)=0 or f-1(x)=1/12x + 1/3
In an effort to cut costs and improve profits, many US companies have been turning to outsourcing. In fact, according to "Purchasing" magazine, 51% of companies outsourced some part of their manufacturing process in the past two to three years. You would like to verify this complaint, and surveyed 432 companies.
a) What is the probability that 338 or more companies outsourced some part of their manufacturing process in the past two or three years?
b) What is the probability that 285 or more companies outsourced some part of their manufacturing process in the past two or three years?
c) What is the probability that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years?
Answers
The probability that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years is 0.194.
a) The total number of companies surveyed is 432.
According to the report, 51% of the companies outsourced some part of their manufacturing process in the past two to three years.
Therefore, the expected value (μ) = 0.51 * 432 = 220.32,
and the standard deviation (σ) = √[432 * 0.51 * (1 - 0.51)]
= 10.27
Using the z-score formula, we get
z = (338 - 220.32)/10.27 = 11.43
Using the z-table,
we find the probability associated with the z-score to be P(z > 11.43)
= 0.000
This implies that the probability that 338 or more companies outsourced some part of their manufacturing process in the past two to three years is 0.000
b) Using the z-score formula, we get
z = (285 - 220.32)/10.27
= 6.29
Using the z-table, we find the probability associated with the z-score to be P(z > 6.29) = 0.000
This implies that the probability that 285 or more companies outsourced some part of their manufacturing process in the past two to three years is 0.000
c) Using the formula for the sample proportion,
we get:
p = 0.51,
q = 1 - p = 0.49,
n = 432
The mean of the sampling distribution of sample proportions (μp) = p = 0.51
The standard deviation of the sampling distribution of sample proportions
(σp) = √[pq/n]
= √[(0.51 * 0.49)/432]
= 0.029
Using the z-score formula, we get
z = (0.48 - 0.51)/0.029
= -0.862
Using the z-table,
we find the probability associated with the z-score to be P(z < -0.862) = 0.194
This implies that the probability that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years is 0.194.
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Spread of the student performance on assignment1 is higher for class A than class B. If we choose a student randomly from each class, then which student has a higher probability of taking values that are far away from the mean or expected value?
I have trouble understanding this question. What the correct answer is class A or class B?
Answers
Based on the given information that the spread of student performance on assignment1 is higher for class A than class B, the student from class A has a higher probability of taking values that are far away from the mean or expected value.
The spread of data refers to how much the individual values deviate from the mean or expected value. When the spread is higher, it means that the data points are more widely dispersed or varied. Therefore, in the context of student performance on assignment1, if the spread is higher in class A compared to class B, it implies that the individual student scores in class A are more likely to be farther away from the mean or expected value compared to class B.
In other words, class A may have a wider range of performance levels, including both higher and lower scores, compared to class B. This suggests that if a student is randomly chosen from each class, the student from class A is more likely to have a score that is far from the average or expected score of the class.
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If the sum of an infinite geometric series is \( \frac{15625}{24} \) and the common ratio is \( \frac{1}{25} \), determine the first term. Select one: a. 625 b. 3125 c. 25 d. 125
Answers
The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.
We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).
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A salesperson earns $200 per week plus a commission equal to 4% of her sales. This week her goal is to earn no less than $450.
Answers
0.04 s + 200 ≥ 450
Mr. Estrada's car can travel no more than 510 miles on one full tank of gasoline. After filling up the tank with gasoline, he traveled 194 miles in the car. Write an inequality that represents the values of m, the number of miles Mr. Estrada can travel in the car with the remaining gasoline in the tank and solve.
please help me!! this is due very soon
Answers
Answer:
Step-by-step explanation:
The required inequality x + m ≤ 510, and the distance is 316 miles.
What is inequality?Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.
Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.
Let,
x miles = distance already traveled
m miles = distance miles can travel with remaining gas
510 = max. miles can travel on a full tank
As per the given question,
The inequality will be written as,
x + m ≤ 510
194 + m ≤ 510
m ≤ 510 - 194
Apply the subtraction operation, and we get
m ≤ 316
Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.
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Sohail's autumn break lasted x days. Of these, he was out of station for 8 days. For the remaining days, his mother promised him Rs. 10 per day to clean up the whole house. At the end of the break, she was so happy with his work, that she decided to square the amount due to him. What is the amount that Sohail got?
Answers
So the total amount received by Sohail is 100 * y². To get the precise amount, we must first determine the value of x.
What is expression?An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.
Let's call the number of days Sohail was in town and cleaned the house "y". Then we can write:
y = x - 8 (since he was out of town for 8 days)
And the amount he was promised per day is 10, so the total amount promised is:
10 * y = 10 * (x - 8)
At the end of the break, his mother decided to square the amount due to him, so the final amount he received is:
(10 * y)² = (10 * (x - 8))²
Expanding the square and simplifying, we get:
100 * y²= 100 * (x - 8)²
So the final amount Sohail received is 100 * y². To find the exact value, we need to know the value of x.
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given g(x)=−x2 x−1, find the absolute maximum value over the interval [−1,5]
Answers
The absolute maximum value of g(x) over the interval [-1, 5] is -3/4.
To find the absolute maximum value of g(x) = -x^2 + x - 1 over the interval [-1, 5]. To do this, follow these steps:1. Find critical points: Determine the derivative of g(x) to identify critical points, where the slope is either zero or undefined.g'(x) = -2x + 12. Set g'(x) to zero and solve for x:
-2x + 1 = 0
2x = 1
x = 1/23. Check endpoints and critical points: Evaluate g(x) at the critical point (x = 1/2) and the interval endpoints (x = -1 and x = 5) to find which gives the maximum value:
g(-1) = -(-1)^2 + (-1) - 1 = -3
g(1/2) = -(1/2)^2 + (1/2) - 1 = -3/4
g(5) = -(5)^2 + 5 - 1 = -214. Identify the absolute maximum value: Among these values, -3/4 is the largest. Thus, the absolute maximum value of g(x) over the interval [-1, 5] is -3/4.
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A custom shade of purple paint is made by mixing 7 parts of blue paint to 2 parts of red paint. The employees in the paint department of a home improvement store use this table to determine the amounts of blue and red paint needed to create this color for their customers.
Amount of Purple Paint
10 pints
20 pints
Amount of Blue Paint
7 pints
14 pints
Amount of Red Paint
3 pints
6 pints
How much red paint does an employee need to make 5 pints of the custom shade of purple paint?
Answers
Therefore, an employee needs 1.5 pints of red paint to make 5 pints of the custom shade of purple paint.
What is proportion?In mathematics, a proportion is a statement that two ratios are equal. Ratios are a way of comparing two or more quantities of the same type, while a proportion compares two ratios. To solve a proportion, we can use cross-multiplication, which involves multiplying the numerator of one ratio by the denominator of the other ratio, and then setting the two products equal to each other. This allows us to find the value of one of the unknown quantities in the proportion. Proportions are used in many areas of mathematics, including geometry, algebra, and statistics. They are also used in everyday life situations, such as when comparing prices or calculating tax rates.
Here,
According to the table given in the problem, 10 pints of the custom shade of purple paint require 3 pints of red paint. Therefore, we can write the following proportion:
red paint / purple paint = 3 pints / 10 pints
We can simplify this proportion by dividing both sides by 10:
red paint / 5 pints = 3 pints / 10 pints
Now we can solve for the amount of red paint needed to make 5 pints of the custom shade of purple paint:
red paint / 5 pints = 3 pints / 10 pints
red paint = (5 pints × 3 pints) / 10 pints
red paint = 1.5 pints
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what quadrant is point D located in?quadrant lquadrant llquadrant lllquadrant lV
Answers
The point D is located in quadrant iii. Here we have (-, -)
Deductive reasoning uses all of the following except...
A. Laws
B. Patterns
C. Facts
D. Rules
Answers
Saru is just getting started, so she has only completed
3 acts of kindness, but she has a goal to double her
total amount every week.
How is Saru's plan exponential?
Answers
Answer:
cuz its possible
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
If the total amount is doubling and not increasing by a set amount she is exponentially growing.
A 5-pound bag of dog food costs $11.25. What is the unit price of the dog food in dollars per pound?
Answers
Answer:
$2.25
Step-by-step explanation:
5 lbs = $11.25
The unit price in this context means the price of a 1-pound bag of dog food so you would divide $11.25 by 5:
$11.25 ÷ 5 = $2.25
Hope this helps!
Answer:
2.25 ($) per pound
Step-by-step explanation: 11.25 / 5 = 2.25 per pound Alternative workings we simply divide by 10 to find 11.25 / 10 = 1.125 then multiply by 2 1.125 * 2 = 2.25 ($) per pound
What is the slope of this line?
A 1/3
B -3
C 3
D -1/3
Answers
Which numbers are prime numbers?
5
14
13
4
9
none of the above
Answers
Answer:
5 and 13 are prime numbers
Step-by-step explanation:
Answer: 5, 13,
Step-by-step explanation:
Find an equation of the line tangent to the curve y=1/2(ln(sin^2(x))) at the point (pi/4 , -1/2ln2)
Answers
Given:
Equation of Curve is:
\(y=\frac{1}{2}\ln (\sin ^2x)\)To find: Equation of tangent to the curve at point
\((\frac{\pi}{4},\frac{-1\ln 2}{2})\)Equation of tangent to the curve is given by:
\(y-y_1=m(x-x_1)\)where, m is slope of line.
Now, m is derivative of y with respect to x at given point.
Hence,
\(\begin{gathered} m=\frac{1}{2}\text{ }\times\frac{2\sin x\cos x}{\sin^2x} \\ m=\frac{\cos \text{ x}}{\sin \text{ x}} \\ m=\cot \text{ x} \end{gathered}\)At given point, the slope m is:
\(\begin{gathered} m=\cot (\frac{\pi}{4}) \\ m=1 \end{gathered}\)Therefore,the equation of tangent to the curve is given as:
\(\begin{gathered} y-y_1=1(x-x_1) \\ y-(\frac{-1(\ln \text{ 2))}}{2})=x-\frac{\pi}{4} \\ \frac{2y+\ln \text{ 2}}{2}=\frac{4x-\pi}{4} \\ 2y+\ln 2=\frac{4x-\pi}{2} \end{gathered}\)\(\begin{gathered} 4y+2\ln 2=4x-\pi \\ 4y=4x-\pi-2\ln 2 \end{gathered}\)Thus the required equation of tangent to the curve is
\(4y=4x-\pi-2\ln 2\)robin is twice as old as earl and adam is 8 years younger than earl. in 6 years robin will be three times as old as adam. find their present ages
Answers
The present age of Earl is 12 years, Robin is 24 years and Adam is 4 years old.
Let us consider the present age of Earl to be x years.
According to the given question, the present age of Robin is twice that of Earl = 2x
And since it is given that Adam is 8 years younger than Earl, then his age
= x - 8
After 6 years, the age of Earl will be x + 6
Robin's age will be = 2x + 6
Adam's age will be = x - 8 + 6 = x - 2
According to the given question, Robin's age will be thrice the age of Adam.
Hence, 2x + 6 = 3 (x - 2)
⇒ 2x + 6 = 3x - 6 ⇒ 6 + 6 = 3x - 2x ⇒ 12 = x
Thus, the present age of Earl is 12 years,
Robin's age = 2x = 2 x 12 = 24 years
Adam's age = x - 8 = 12 - 8 = 4 years
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OMG okay I basically need only 7 more questions then I'm good to go and finally go study my other exams for tonight, everyone helping, ty ty. Without this help I would of been stressing hard. Tqm
Answers
=========================================================
Explanation:
Angle ABD is composed of the smaller angles ABC and CBD
Let x be the measure of angle ABC.
(angleABC) + (angleCBD) = angle ABD
x+44 = 81
x = 81-44
x = 37
Angle ABC is 37 degrees.
Since angle CBD is bisected (i.e. cut in half) by segment BE, this means the smaller pieces CBE and EBD are each 44/2 = 22 degrees.
Therefore,
angle ABE = (angleABC)+(angleCBE)
angle ABE = 37 + 22
angle ABE = 59 degrees
ACFG is a parallelogram, If AG = 2x + 10 and CF = 5x – 2, find CF.
Answers
Answer:
d. 18
Step-by-step explanation:
Lengths AG and CF of the parallelogram are equal.
i.e AG = CF
where AG = 2x + 10
CF = 5x -2
→ 2x + 10 = 5x-2
(collecting like terms): 5x - 2x = 10 + 2
→ 3x = 12
x=12÷3 = 4
∴ CF = 5x -2 = 5(4) -2 = 20 - 2 = 18
∴ CF = 18 (answer)
2c-8 = -18
c = ?
...
Answers
2c= -18+8
2c= -10
c= -10/2
ANSWER: c=-5
Answer:
c = -5
Step-by-step explanation:
Now we have to,
→ find the required value of c.
The equation is,
→ 2c - 8 = -18
Then the value of c will be,
→ 2c - 8 = -18
→ 2c = -18 + 8
→ c = -10/2
→ [ c = -5 ]
Hence, the value of c is -5.
Determine if the system has a nontrivial solution. Try to use as few row operations as possible. х1 - 6xy = 0 -3x₁ + 9x3 = 0 3x₂+ 10x3 = 0 3х2 + 3x₂ - Choose the correct answer below. OA. The system has a nontrivial solution. B. The system has only a trivial solution. OC. It is impossible to determine.
Answers
The system has a nontrivial solution.
The System is as follows :х1 - 6xy = 0-3x₁ + 9x3 = 03x₂+ 10x3 = 03х2 + 3x₂ .
For the system to have a nontrivial solution, we need to have determinant of the matrix of coefficients be zero.
| 1 -6y 0 || -3 0 9 || 0 3 10 |First, we have to add twice the first row to the second row and also add -3 times the first row to the third row.| 1 -6y 0 || 0 -12y 9 || 0 21 10 |Now, we have to add seven times the second row to the third row.| 1 -6y 0 || 0 -12y 9 || 0 0 73 |Thus, we can say that the determinant of the matrix of coefficients is 0. Therefore, the system has a nontrivial solution. Hence, option (OA) is correct.
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The family's covered wagon was 6.5 feet wide, 12 feet long,
and 3.5 feet high. What is the volume of the wagon?
Answers
Answer:
V=273
Step-by-step explanation:
V=L*W*H
V=12*6.5*3.5
V=273
Find an equivalent system of equations for the following system:
x + 2y = 2
−4x + 4y = −8
a) x + 2y = 2
−4x − 2y = 10
b) x + 2y = 2
5x + 4y = 8
c) x + 2y = 2
5x − 2y = 10
d) x + 2y = 2
5x − 2y = −8
Answers
Answer:
Option C
Step-by-step explanation:
we have
x+2y=2 ------> equation A
-4x+4y=-8 ------> equation B
Multiply equation B by -1 both sides
-1(-4x+4y)=-8*(-1)
4x-4y=8 -----> equation C
Adds equation A and equation C
x+2y=2
4x-4y=8
--------------
5x-2y=10 ----> equation D
An equivalent system of equations is equation A and equation D
so
x+2y=2 ------> equation A
5x-2y=10 ----> equation D
Answer:
C
Step-by-step explanation:
i took the test
please help, I need help understanding this. May someone explain this?
Answers
We can see that one point is located at (3,-2)
And the slope is = -1
This means that the line must be passing thought -1
We have (k,4) so we must find out k
Lets graph (-4,4) to (3,-2)
it passes though -1 on the point line
And -1 is our slope
So k would be = -4
Find the midpoint of the segment with the following endpoints.
(10,7) and (5,4)
Answers
Answer: (7.5, 4.5)
Step-by-step explanation:
To find the midpoint, we can just find the average of the x values and the y values.
x=(10+5)/2=15/2=7.5
y=(5+4)/2=9/2=4.5
What can you see in this form of the linear equation? 6x+2y=13
Answers
The given equation 6x+2y=13 is a linear equation in two variables. In this equation, x and y are variables while 6 and 2 are their respective coefficients, and 13 is a constant term. The equation can be represented as a straight line on a graph. The slope of this line is -3, and it intersects the y-axis at the point (0, 13/2).
In this equation, if we substitute x=0, then y=13/2, and if we substitute y=0, then x=13/6. These are the two points that the line passes through the x and y-axis.
A linear equation is a polynomial equation that is of the first degree, meaning the variables in the equation are not raised to any powers other than one. This equation is in the standard form where the variables are in the first degree. 6x + 2y = 13 is the form of the given linear equation. x and y are the two variables, and 6 and 2 are their respective coefficients. The equation can be represented as a straight line on a graph. The slope-intercept form of this equation is y = -3x + 13/2. The equation is also in standard form.
When x = 0, the equation becomes 2y = 13. This means that the point of intersection is (0, 13/2) when y = 0, the equation becomes 6x = 13, and the point of intersection is (13/6, 0). The slope of the line is -3. When x increases by 1, y decreases by 3.
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Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67
Answers
The probability of selecting an orange marble is 0.33.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The number of times each marble is selected.
Green = 4
Black = 6
Orange = 5
Total number of times all marbles are selected.
= 4 + 6 + 5
= 15
Now,
The probability of selecting an orange marble.
= 5/15
= 1/3
= 0.33
Thus,
The probability of selecting an orange marble is 0.33.
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The dollar value v(t) of a certain car model that is t years oid is given by the following exponential function. v(t)=19.900(0.78) t
Find the initial value of the car and the value after 12 years. Round your answers to the nearest dollar as necessary.
Answers
The initial value of the car is $19,900, and the value after 12 years is approximately $1009, calculated using the exponential function v(t) = 19,900 * (0.78)^t.
The given exponential function is v(t) = 19,900 * (0.78)^t.
To find the initial value of the car, we substitute t = 0 into the function:
v(0) = 19,900 * (0.78)^0
Any number raised to the power of 0 is equal to 1, so we have:
v(0) = 19,900 * 1 = 19,900
Therefore, the initial value of the car is $19,900.
To find the value of the car after 12 years, we substitute t = 12 into the function:
v(12) = 19,900 * (0.78)^12
Calculating this value, we get:
v(12) ≈ 19,900 *0.0507 ≈ 1008.93
Therefore, the value of the car after 12 years is approximately $1009 (rounded to the nearest dollar).
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