Let "c" represent the amount of cashews they each bought.
Let "p" represent the amount of peanuts they each bought.
Mike: 2c + 1.5p = 26
Jim: 2.5c + 1 p = 29
That's the system you need to solve. We can do this with substitution.
Start with Jim:
2.5c + p = 29
p = 29 - 2.5c
Substitute that into Mike and solve for c:
2c + 1.5p = 26
2c + 1.5(29 - 2.5c) = 26
2c + 43.5 - 3.75c = 26
-1.75c + 43.5 = 26
-1.75c = - 17.5
c = 10
Now substitute that back into Jim's last equation:
p = 29 - 2.5c
p = 29 - 2.5(10)
p = 29 - 25
p = 4
So they each bought 10 pounds of cashews and 4 pounds of peanuts.
the lifetime of a certain type of battery can be approximated by a normal distribution. the list gives the number of hours of battery life of 10 batteries selected at random. find the mean and standard deviation of the data set. then sketch a normal curve to represent the distribution. 24, 24, 32, 14, 22, 34, 20, 26, 17, 29
Answer: mean= 24.2 and the standard deviation is 6.0 :)
Step-by-step explanation: this is because when you solve for the equation the result for the standard deviation is 6.3 but if you round the number, it becomes 6.0, being the standard deviation.
One endpoint of a line segment has coordinates represented by (x+4,12y). The midpoint of the line segment is (3,−2).
How are the coordinates of the other endpoint expressed in terms of x and y?
A: (2x−2,1/2y−2)
B: (10−x,−1/2y)
C: (x+2,2−1/2y)
D: (2−x,−4−1/2y)
42 = 7 ( x + 5 ) solve for x
Answer:
x = 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
1. distribute 7 to x and 5.
42 = 7x + 35
2. subtract 35 on both sides.
7 = 7x
3. Divide by 7 for both sides.
1 = x
The midpoint of a segment with endpoint (8, a) and (b, 4) is (−1, −1).
What are the values of a and b?
a = 6, b = 10
a = 10, b = 6
a=−10, b=−6
a=−6, b=−10
Answer:a =23
Step-by-step explanation:
Answer:
C a=-10, b=-6
Step-by-step explanation:
I took the test.
Help me plz no wrong answer plz answer fast please!!!!!
Answer:
3rd option "The data point for player G is an outliner"
His weight is on the extreme side compared to the other players
and plus the other answers are just wrong
but the 4th option may be a possible answer
yummy doggo
lol
.....................
Answer:
He/she are cute awwwwwwwww TuT
Step-by-step explanation:
Answer:
i- is that a a cake?!
Step-by-step explanation:
PLZ PLZ HURRY I WILL GIVE BRAINLEST
Which point does NOT lie on the graph of the line 6x + 3y = 18?
A. (1, 4)
B. (3, 0)
C. (5, 4)
D. (6, -6)
Answer:
option c (5,4) .............
Answer:
C. (5, 4)
Step-by-step explanation:
A. 6(1) + 3(4) = 18
6 + 12 = 18
B. 6(3) + 3(0) = 18
18 + 0 = 18
C. 6(5) + 3(4) ≠ 18
30 + 12 ≠ 18
D. 6(6) + 3(-6) = 18
36 + (-18) = 18
hope this helps :)
Please answer in an hour! You will get a thumbs up.
Question 1 (a)
Assume you purchase a new tractor on Jan 1, 2022 for a cost of $200,000. You estimate you will be able to use the tractor for 10 years, and it will have a salvage value of 10% of the original by the end of its useful life. Determine the book value at the end of the first year (December 31, 2022) using straight-line depreciation.
options:
$18,000
$180,000
$185,000
$182,000
Question 1 (b)
A balance sheet (using current and noncurrent assets and liabilities- no intermediate) shows that a farmer has current assets of $80,000 and owner equity of $100,000. Her current ratio is 2 and her debt/equity ratio is 1.0. Determine the farmer's noncurrent liabilities.
Question 1 (b) options:
$40,000
$60,000
$100,000
unable to determine
Question 1a
To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:
Annual Depreciation = (Cost - Salvage Value) / Useful Life
Substituting the given values, we get:
Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year
This means that the tractor will depreciate by $18,000 each year for the next 10 years.
To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:
Depreciation Expense for Year 1 = $18,000
Therefore, the book value of the tractor at the end of the first year will be:
Book Value = Cost - Depreciation Expense for Year 1
= $200,000 - $18,000
= $182,000
So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D
Question 1(b)
To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:
Calculate the total current liabilities using the current ratio:
Current Ratio = Current Assets / Current Liabilities
2 = $80,000 / Current Liabilities
Current Liabilities = $80,000 / 2
Current Liabilities = $40,000
Calculate the total liabilities using the debt/equity ratio:
Debt/Equity Ratio = Total Liabilities / Owner Equity
1.0 = Total Liabilities / $100,000
Total Liabilities = $100,000 * 1.0
Total Liabilities = $100,000
Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:
Noncurrent Liabilities = Total Liabilities - Current Liabilities
Noncurrent Liabilities = $100,000 - $40,000
Noncurrent Liabilities = $60,000
Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.
help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!
Answer:
8551.56
Step-by-step explanation:
\(A=5300(1+(0.08)/12)^{(12)(6)} \approx 8551.56\)
You are playing the Integer Game. The goal of the game is for the sum of the cards in your hand to be as close to zero as possible. Here are the cards in your hand,
4
-8
-3
2
What is the current value of your hand?
Please help me !! would appreciate
The answers that describe the quadrilateral DEFG area rectangle and parallelogram.
The correct answer choice is option A and B.
What is a quadrilateral?A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.
Quadrilateral DEFG
if line DE || FG,
line EF // GD,
DF = EG and
diagonals DF and EG are perpendicular,
then, the quadrilateral is a parallelogram
Hence, the quadrilateral DEFG is a rectangle and parallelogram.
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Can someone please help me
Answer: Option D
Step-by-step explanation:
Calculate P(3, 2)
12
8
7
6
Answer: the answer is number 6
a. 17 + 4p
b. 18 + 3d + 3p
c. 18 + 4p
d. 17 + 3d + 3p
Answer:
c. 4p+18
Step-by-step explanation:
-7d + 2d + 3d + 2d = 0
6p-3p+p = 4p
7-11+14+8 = 18
4p+18
graph below.
Plumbing Jobs
Total Charge
(in dollars)
225
200
175
150
125
100
75
50
25
5
0 31 2 3 4
Number of Hours
4.
What is the slope of the line graphed
above?
can someone help me with algebra
i am very confused in addition algebra
and subtraction algebra, multiplication algebra,division algebra/please explain step by step !!!!
I understand that algebraic operations can be confusing at first, but I'll do my best to explain them step by step. Let's start with addition and subtraction in algebra, and then move on to multiplication and division.
Addition in Algebra:
Start with two or more algebraic expressions or terms that you need to add together.
Identify like terms, which are terms that have the same variables raised to the same powers. For example, 3x and 5x are like terms because they both have the variable x raised to the power of 1.
Combine the coefficients (the numbers in front of the variables) of the like terms. For example, if you have 3x + 5x, you add the coefficients 3 and 5 to get 8.
Write the sum of the coefficients next to the common variable. In this case, it would be 8x.
If there are any remaining terms without a like term, simply write them as they are. For example, if you have 8x + 2y, you cannot combine them because x and y are different variables.
Subtraction in Algebra:
Subtraction is similar to addition, but instead of adding terms, we subtract them.
Start with two algebraic expressions or terms.
Identify like terms, as we did in addition.
Instead of adding the coefficients, subtract the coefficients of the like terms.
Write the difference of the coefficients next to the common variable.
Handle any remaining terms without a like term in the same way as in addition.
Multiplication in Algebra:
Multiply the coefficients of the terms together. For example, if you have 2x * 3y, multiply 2 by 3 to get 6.
Multiply the variables together. In this case, multiply x by y to get xy.
Write the product of the coefficients and variables together. So, 2x * 3y becomes 6xy.
Division in Algebra:
Divide the coefficients of the terms. For example, if you have 12x / 4, divide 12 by 4 to get 3.
Divide the variables. If you have x / y, you cannot simplify it further because x and y are different variables. So, you leave it as x / y.
Remember, these steps are general guidelines, and there might be additional rules and concepts specific to certain algebraic expressions.
It's important to practice and familiarize yourself with these operations to gain confidence and improve your understanding.
another true-false exam has 15 questions, and precisely three of the answers are false, except that no two falses are consecutive.how many different answer keys are possible now?
There are 2,097,152 possible answer keys calculated by using the formula for combinations.
To determine the number of possible answer keys, we can use the formula for combinations. The formula is C(n,k) = n! / (k! (n-k)!). We want to know the number of combinations of 15 items taken 3 at a time.
Since we are also not allowing for two consecutive false answers, we will subtract the number of possible combinations with consecutive false answers from the total possible combinations.
This can be done by subtracting the number of combinations of 13 items taken 3 at a time, C(13,3) = 17,296. Therefore, the total possible combinations are C(15,3) = 455,056 - C(13,3) = 17,296 = 437,760.
Finally, we can multiply this by the number of possible arrangements of the three false answers, which is 3!, or 6, resulting in our final answer of 2,097,152.
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10) A submarine starts on the surface, and dives at an angle of depression of 13° from the surface. It goes
diagonally a distance of 890 meters before reaching the bottom. How deep is the water where the submarin
reaches the bottom? (Drawing 1 pt, distance 1.5 pts, units .5 pt)
890
The water where the submarine reaches the bottom is approximately 212.43 meters deep.
To determine the depth of the water where the submarine reaches the bottom, we can use trigonometry.
The angle of depression of 13° tells us that the submarine is diving at an angle below the horizontal line.
The distance traveled diagonally, which is 890 meters, represents the hypotenuse of a right triangle.
Using trigonometric functions, we can find the length of the adjacent side, which represents the depth of the water.
In this case, we can use the tangent function:
tan(13°) = opposite/adjacent
We know the opposite side is the depth we're trying to find, and the adjacent side is the distance traveled diagonally.
Solving for the depth:
\(depth = 890 \times tan(13) \approx 212.43 meters\).
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8x + 4 = 3 (x-1) + 7'
it it is 30 little one
in a class of 78 students, 41 are taking french, 22 are taking german and 9 are taking both french and german. how many students are not enrolled in either class? question 11 options: 6 24 54 15 33
Answer: 6 are not enrolled.
Step-by-step explanation:
78 in total so you add 41+22+9 and you get 72 so you do 78-72 and you get 6.
im running out of things to say
Answer:
i think its b
Step-by-step explanation:
Select the correct answer from each drop-down menu. Graph shows 3 polygons on a coordinate plane. First polygon is at A(1, 1), B(2, 3), C(4, 3), D(3, 1). Second polygon prime ABCD is translated 2 units down and reflected. Third polygon double prime ABCD translated 2 units to the left and reflected. The figure shows three parallelograms: ABCD, A′B′C′D′, and A″B″C″D″. Polygon ABCD is to create parallelogram A′B′C′D′. Polygon ABCD is to create parallelogram A″B″C″D″.
The transformation that took place is a horizontal stretch by a factor of 2
How to explain the transformation?We are given that Polygon ABCD transformed to create polygon A'B'C'D'. Clearly, the polygon is first a translation of the polygon ABCD 1 unit to the right and then it is horizontally stretched by a scale factor of 2.
Since the length of the polygon was earlier 2 units and then the length of the Polygon A'B'C'D' is 4 units. Hence, the transformation that took place in the Polygon ABCD is a horizontal stretch by a factor of 2
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Answer: A Horizontal Stretch by a Factor of 2
Step-by-step explanation:
4. Which value for x makes the sentence true?
3x - 8 = 16
x=
Answer: x = 8
Step-by-step explanation:
This is a very, very, very simple algebra problem. I assume you know the basics of algebra.
First, move 8 to the other side:
3x = 24
divide by 3 on both sides
x = 8
There! Would it kill you to give me a quartic question to spice my life up?
Giving a test to a group of students the grades and gender are
summarized below.
if one student was chosen at random find the probability that
the student got a "C" .
give your answer as a fraction o
Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 18 16 14 48 Female 17 7 4 28 Total 35 23 18 76 If one student was chosen at random,
Find the probability that the student got a B:
Find the probability that the student was female AND got a "C":
Find the probability that the student was female OR got an "B":
If one student is chosen at random, find the probability that the student got a 'B' GIVEN they are male:
In conclusion:
a) The Probability of a student getting a B is 23/76.
b) The probability of a student being female and getting a C is 1/19.
c) The probability of a student being female or getting a B is 51/76.
d) The probability of a student getting a B given that they are male is 1/3.
The given probabilities, let's use the information provided:
Total number of students: 76
Number of students who received a B: 23
Number of female students who received a C: 4
Number of female students: 28
Number of male students: 48
a) Probability that the student got a B:
To find the probability of a student receiving a B, we divide the number of students who received a B by the total number of students:
P(B) = Number of students who received a B / Total number of students
P(B) = 23 / 76
P(B) = 23/76 (Answer: 23/76)
b) Probability that the student was female AND got a C:
To find the probability of a student being female and receiving a C, we divide the number of female students who received a C by the total number of students:
P(Female and C) = Number of female students who received a C / Total number of students
P(Female and C) = 4 / 76
P(Female and C) = 1/19 (Answer: 1/19)
c) Probability that the student was female OR got a B:
To find the probability of a student being female or receiving a B, we add the number of female students to the number of students who received a B and then divide by the total number of students:
P(Female or B) = (Number of female students + Number of students who received a B) / Total number of students
P(Female or B) = (28 + 23) / 76
P(Female or B) = 51/76 (Answer: 51/76)
d) Probability that the student got a B GIVEN they are male:
To find the probability of a student receiving a B given that they are male, we divide the number of male students who received a B by the total number of male students:
P(B|Male) = Number of male students who received a B / Number of male students
P(B|Male) = 16 / 48
P(B|Male) = 1/3 (Answer: 1/3)
In conclusion:
a) The probability of a student getting a B is 23/76.
b) The probability of a student being female and getting a C is 1/19.
c) The probability of a student being female or getting a B is 51/76.
d) The probability of a student getting a B given that they are male is 1/3.
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Factor 10x2
+ 11x + 3
Answer:
e
Step-by-step explanation:
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Can i get some help ::
Answer:
last option
...................................
A sample of scores has m = 50 and s = 5. If every score in the sample is multiplied by 3, then what are the new values for the mean and standard deviation?
1. M= 150 and s= 15
2. M= 50 and s = 15
3. M= 150 and s= 5
4. M= 50 and s= 5
The new values for the mean and standard deviation are M = 150 and s = 15. (1)
When every score in a sample is multiplied by a constant factor, the mean of the sample is also multiplied by the same constant factor. So, the new mean would be 3 * m = 3 * 50 = 150.
However, the standard deviation is not affected by multiplying every score in a sample by a constant factor. To see why this is the case, consider that the standard deviation is a measure of the spread of the scores around the mean.
Multiplying every score in a sample by a constant factor stretches or shrinks all of the scores by the same amount, so the spread of the scores around the mean remains unchanged.
Therefore, the new standard deviation would be the same as the original standard deviation, s = 5. So, the new values for the mean and standard deviation are M = 150 and s = 15.
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What is the mean for the data shown in the line plot?
10
6
4
5
6.3 is the mean!
(Hope this could help!)
Answer: It would be 6
Hope this helps!
what is the ratio of 11 apples to 9 oranges
Answer:
11:9
Step-by-step explanation:
Since 11 comes first and 9 comes second, we do 11:9
Answer:
18 : 22
Step-by-step explanation:
The ratio is already in lowest terms so we found an equivalent ratio by multiplying both terms by 2.
PLEAAAAASSEEEEEEEEEEE
im held captive._.
The inequality that models the situation is:
\(15000 + 4s \geq 450000\)
Solving it, it is found that they need to sell at least 108,750 shirts.
During the day:
They earned 15000 in mask sales.They will sell s shirts, and earn a total of of 4s.Hence, the earnings are:
\(T = 15000 + 4s\)
They want to earn at least 450,000, hence:
\(T \geq 450000\)
\(15000 + 4s \geq 450000\)
Solving it:
\(15000 + 4s \geq 450000\)
\(4s \geq 435000\)
\(s \geq \frac{435000}{4}\)
\(s \geq 108750\)
They need to sell at least 108,750 shirts.
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