Aaron, Bob and Casper had some marbles. Aaron had ⅙ of the marbles. Bob had 6 marbles more than Aaron. Casper had 18 marbles. How many marbles did they have altogether?
Answers
Answer:
Answer:If Aaron had ⅙ of the marbles, then Bob had (1/6 + 1/6) + 6 = 2/6 + 6 = 8/3 of the marbles.
Answer:If Aaron had ⅙ of the marbles, then Bob had (1/6 + 1/6) + 6 = 2/6 + 6 = 8/3 of the marbles.Together, Aaron and Bob had 1/6 + 8/3 = 17/6 of the marbles.
Answer:If Aaron had ⅙ of the marbles, then Bob had (1/6 + 1/6) + 6 = 2/6 + 6 = 8/3 of the marbles.Together, Aaron and Bob had 1/6 + 8/3 = 17/6 of the marbles.Adding Casper's 18 marbles, they had a total of 17/6 + 18 = 50/3 marbles.
Answer:If Aaron had ⅙ of the marbles, then Bob had (1/6 + 1/6) + 6 = 2/6 + 6 = 8/3 of the marbles.Together, Aaron and Bob had 1/6 + 8/3 = 17/6 of the marbles.Adding Casper's 18 marbles, they had a total of 17/6 + 18 = 50/3 marbles.Converting to a mixed number, they had 16 2/3 marbles altogether.
Related Questions
NO LINKS!!! URGENT HELP PLEASE!!
Compare the sides and angles by filling in the blank with a < or > symbol. #21-24
Answers
Answer:
21. QR < RS
22. AB > CD
23. m∠FJG < m∠HJG
24. m∠QSP > m∠QSR
Step-by-step explanation:
Question 21ΔQTR and ΔSTR have two corresponding sides of equal length:
QT = ST and TR = TRAs the measures of the included angles ∠QTR and ∠STR are different, the other sides QR and SR cannot be equal.
As m∠QTR < m∠STR, then QR < RS.
Question 22ΔADB and ΔCBD have two corresponding sides of equal length:
AD = CD and DB = BDAs the measures of the included angles ∠ADB and ∠CBD are different, the lengths of the other sides AB and CD cannot be equal.
As m∠ADB > m∠CBD, then AB > CD.
Question 23ΔFJG and ΔHJG have two corresponding sides of equal length:
FJ = HJ and JG = JGAs the other sides FG and HG are different lengths, the measures of their opposite angles ∠FJG and ∠HJG will also be different.
As FG < HG then m∠FJG < m∠HJG.
Question 24ΔQSP and ΔQSR have two corresponding sides of equal length:
QS = QS and SP = SRAs the other sides QP and QR are different lengths, the measures of their opposite angles ∠QSP and ∠QSR will also be different.
As QP > QR then m∠QSP > m∠QSR.
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
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If you take away 25 from (100) you get 75.
70 also equals 2.5*30
3
(3x²y5) ³
27x5y³
9x5y8
27x6y¹5
15
9x6y15
Answers
\((3x^2 y^5)^3\implies \left( 3^3 x^{2\cdot 3} y^{5\cdot 3} \right)\implies 27x^6 y^{15}\)
There are 25 newspapers in a stack. The stack weighs 15.5kg. What is the weight of each newspaper?
Answers
Answer:
0.62kg or 620g.
Step-by-step explanation:
If there are 25 newspapers in a stack that weighs 15.5kg, 15.5 divided by 25 would give you the weight of one newspaper, which is 0.62kg.
To convert kilograms to grams:
0.62kg x 1000 = 620g
Answer:
0.62 kg
Step-by-step explanation:
25 newspaper = 15.5kg
1 newspaper = ? Y
cress cross
25 newspaper Y = 15.5 kg × 1 newspaper
25 newspaper 25 newspaper
Y = 15.5 kg
25
Y = 0.62 kg
What’s the factor of the expression?
Answers
The answer to this question: B
i need help with question 15 i tried doing the problem 15 but i got stick on the problem 15
(Car Sales) Of the cars sold during the month of July, 87 had air conditioning, 99 had automatic transmission, and 73 had power steering. 8 cars had all three of these extras. 24 cars had none of these extras. 24 cars had only air conditioning, 64 cars had only automatic transmissions, and 35 cars had only power steering. 9 cars had both automatic transmission and power steering. How many cars had exactly two of the given options?
a) 64
b) 56
c) 96
d) 1
e) 82
Answers
Therefore , the solution of the given problem of unitary method comes out to be 25 vehicles had precisely two of the available options.
An unitary method is what?By multiplying the data obtained with such a nanosection variable whilst also two that used the unilateral strategy, the job can be finished. In essence, this mean that whenever a desired item appears, the specified entity is set or the colour space of both production runs is skipped. A varying fee of Inr ($1.01) might have been necessary for forty pens.
Here,
We can apply the inclusion-exclusion concept to resolve this issue. To begin, let's draw a Venn diagram to symbolise the supplied data:
where A is the proportion of vehicles with air conditioning, B is the proportion of vehicles with automatic gearbox, and C is the proportion of vehicles with power steering.
The information provided lets us know:
=> A = 87 + 8 + 24 = 119
=> B = 99 + 8 + 9 = 116
=> C = 73 + 8 + 9 = 90
=> A ∩ B ∩ C = 8
=> A ∩ B ∩ C' = 24 - 8 = 16
=> A ∩ B' ∩ C = 9
=> A ∩ B' ∩ C' = 64 - 9 - 8 - 16 = 31
=> A' ∩ B ∩ C = 0
=> A' ∩ B ∩ C' = 35 - 9 - 8 - 16 = 2
=> A' ∩ B' ∩ C = 0
=> A' ∩ B' ∩ C' = 24 - 8 - 16 - 2 = -2
Since there cannot be fewer than 0 cars without any extras, this number must be negative.
=> (A ∩ B' ∩ C) + (A ∩ B ∩ C') + (A' ∩ B ∩ C) = 9 + 16 + 0 = 25
As a result, 25 vehicles had precisely two of the available options. There may have been a mistake in the problem or the answer alternatives since the correct response is not one of the available choices.
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The selling price of a refrigerator is $487.20. If the mark up is 5% of the dealers cost what is the dealers cost of the refrigerator
Answers
Answer:
$464Step-by-step explanation:
Let the cos be x, then selling price is:
x + 5% = x*1.05 = 1.05xWe have the selling price $487.20
1.05x = 487.20x = 487.20/1.05x = 464Cost price is $464
Pls help I am falling
Answers
Answer:
152.98 square m but u can round off and write 153 square m
Step-by-step explanation:
As part of a statistics project, a teacher brings a bag of marbles containing 500 white marbles and 400 red marbles. She tells the students the bag contains 900 total marbles, and asks her students to determine how many red marbles are in the bag without counting them. A student randomly draws 100 marbles from the bag. Of the 100 marbles, 45 are red. The data collection method can best be described as
Answers
Answer:
Survey
Step-by-step explanation:
During data collection for a particular study, reaching all target Population might seem illogical or impossible. Therefore, a subset of the population of interest is chosen and the outcome used to infer about the population. This procedure could be referred to a a SURVEY. In the scenario samples drawn from the population of interest is used to make inference on population. During a survey, selected data ponuts or subjects must be drawn at random in other to ensure that it is representative of the larger population data.
Im still having a hard time with these types of problems
Answers
An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment and is calculated by multiplying each possible outcome by the respective probability and then summing all of those values, that is,
\(E=\Sigma_ix_i\times P(x_i)\)By substituting the given values into the expected value formula, we get
\(E=-1.25\times0.6+(-0.25)\times0.2+0\times0.1+0.50\times0.1\)which gives
\(E=-0.75-0.05+0+0.05\)Therefore, the expected value is:
\(E=-0.75\)20 pts and brainliest
Answers
The two solutions to the given quadratic equation are 2i/3, -2i/3 and they are both complex solutions.
Hence, option C is the correct answer.
What are the solutions to the quadratic equation?Given the equation; 9x² + 4 = 0
First, we subtract 4 from both sides.
9x² + 4 = 0
9x² = -4
x² = -4/9
Take the square roots of both sides
x = ±√(-4/9)
Rewrite -4/9 as (2i/3)²
x = ±√(2i/3)²
x = ±(2i/3)
Hence,
x = 2i/3, -2i/3
Therefore the two solutions to the given quadratic equation are 2i/3, -2i/3 and they are both complex solutions.
Hence, option C is the correct answer.
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Answer:
but it says ill get 10 only
Step-by-step explanation:
1. Tim wants air conditioning in his room. The air conditioner costs $40. Each day the
electricity costs $1. Write an expression that can be used to find the cost to run the air
conditioner for d days.
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Answer:
the answer/expression you require is 40 - 1 = 1 day x - 1 = day 2 (repeat day 2 forever
Step-by-step explanation:
i say this because - 40 for the air conditioner and if it’s - 1 for electricity a day then unless your buying an air conditioner every day i don’t think you,l be repeating day 1 every day
:D
Someone please help!!
Answers
Find the slope of a line that contains the two points 0, 1 and 1, 3
Answers
Answer:
The slope is 2.
Step-by-step explanation:
Use the slope formula:
m = y2 - y1 / x2 - x1
Plug in the numbers from the ordered pairs:
m = 3 - 1 / 1 - 0
m = 2/1
Simplify:
m = 2
Ann will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $43.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $57.98 and costs an additional $0.12 per mile driven. How many miles would Ann need to drive for the two plans to cost the same?
Answers
Answer:
700 miles
Step-by-step explanation:
Let's write the expressions for each plan.
Plan 1 has an initial fee of $43.98 and an additional $0.14 per mile m.
So, we can write the following expression:
\(43.98+0.14m\)
Plan 2 has an initial fee of $57.98 and an additional cost of $0.12 per mile.
So, we can write the following expression:
\(57.98+0.12m\)
We want to find after how many miles Ann needs to drive for the two plans to cost the same. So, let's set the two expressions equal to each other and solve for m:
\(43.98+0.14m=57.98+0.12m\)
Subtract 43.98 from both sides:
\(0.14m=14+0.12m\)
Subtract 0.12m from both sides:
\(0.02m=14\)
Divide both sides by 0.02:
\(m=700\)
So, after 700 miles, the price of the two plans will cost the same.
Further notes:
This means that if Ann is driving for less than 700 miles, Plan 1 is the cheaper choice since it costs the least to begin with.
However, if Ann is going to drive for more than 700 miles, Plan 2 is the cheaper choice since it has a lower cost per mile additional cost.
Quickly!!! A turtle and a snail are 300 feet apart when they start moving towards each other. The turtle is moving at a speed of 5 feet per minute, and the snail is moving at a speed of 1 foot per minute.how fast are the turtle and snail approaching each other
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Answer:
6 feet per minute.
Step-by-step explanation:
The turtle and snail are moving towards each other, so their speeds add up. Therefore, the combined speed at which they approach each other is:
5 feet/min (turtle's speed) + 1 feet/min (snail's speed) = 6 feet/min
Therefore, the turtle and snail are approaching each other at a speed of 6 feet per minute.
Answer:
6 feet per minute.
3/9 and 5/15 are they equivalent
Answers
Answer:
yes
Step-by-step explanation:
3/9 Divide the top and bottom by 3
1/3
5/15 Divide the top and bottom by 5
1/3
They are equal
Help with this trig identities problems.
1) Given csc Φ = 7/3 and cot Φ = - (2√10)/(3), find sec Φ.
2) Given that sec β = 6/5 and sin β > 0, find tan β and sin β.
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Using trigonometric identities, we found that sec Φ = -7/(2√10), sin Φ = 3/7, tan β = √11/5, and sin β = √11/6 for the given values of csc Φ, cot Φ, and sec β.
1. We can start by using the Pythagorean identity to find the values of sin Φ:
\(sin^2\) Φ + \(cos^2\) Φ = 1
Since csc Φ = 1/sin Φ, we can substitute and solve for sin Φ:
1/(7/3) = sin Φ
sin Φ = 3/7
Next, we can use the fact that cot Φ = cos Φ/sin Φ:
cot Φ = cos Φ/(3/7) = - (2√10)/(3)
Simplifying this expression, we get:
cos Φ = - (2√10)/(3) * (3/7) = - 2√10/7
Finally, we can use the fact that sec Φ = 1/cos Φ:
sec Φ = 1/(- 2√10/7) = -7/(2√10)
2. We can use the fact that sec β = 1/cos β to find the value of cos β:
sec β = 6/5
cos β = 5/6
Next, we can use the Pythagorean identity to find the value of sin β:
\(sin^2\) β + \(cos^2\) β = 1
sin β = √(1 - \(cos^2\) β) = √(1 - 25/36) = √(11/36) = √11/6
Finally, we can use the fact that tan β = sin β/cos β:
tan β = (√11/6)/(5/6) = √11/5
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The slope of MN¯¯¯¯¯¯¯ is −3.
Which segments are parallel to MN¯¯¯¯¯¯¯?
Select each correct answer.
Responses
WX¯¯¯¯¯¯, where W is at (2, 6) and X is at (4, 0)
segment W X, , where , W, is at , begin ordered pair 2 comma 6 end ordered pair, and , X, is at , begin ordered pair 4 comma 0 end ordered pair
RS¯¯¯¯¯, where R is at (1, 3) and S is at (4, 2)
segment R S, , where , R, is at , begin ordered pair 1 comma 3 end ordered pair, and , S, is at , begin ordered pair 4 comma 2 end ordered pair
TU¯¯¯¯¯, where T is at (8, 1) and U is at (5, 10)
segment T U, , where , T , is at , begin ordered pair 8 comma 1 end ordered pair, and, U, is at , begin ordered pair 5 comma 10 end ordered pair
PQ¯¯¯¯¯, where P is at (5, 6) and Q is at (8, 7)
Answers
TU is parallel to MN.
Given that the slope of a line MN is -3, we need to find a line which is parallel to the MN.
So we know that the parallel lines are having equal slope so the line which is parallel to the MN it must have slope of -3.
Therefore,
Considering the line TU, find the slope = y₂-y₁ / x₂-x₁
= 10-1 / 5-8 = -9/3 = -3
Since, the slope of the line TU is -3 therefore we can say the lines TU and MN are parallel liens.
Hence TU is parallel to MN.
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A couple plans to purchase a house. The bank requires a 20% down payment on the $240,000 house. The couple will finance the rest of the cost with a fixed- rate mortgage at 8.5% annual interest with monthly payments over 30 years.
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
(b) Find the amount of the mortgage.
(c) Find the monthly payment.
Answers
(A) The required down payment is $48,000.
(B) The amount of the mortgage is $192,000.
(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
(a) To find the required down payment, we need to calculate 20% of the house price.
Down payment = 20% of $240,000
Down payment = 0.2 * $240,000
Down payment = $48,000
The required down payment is $48,000.
(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.
Mortgage amount = Total cost of the house - Down payment
Mortgage amount = $240,000 - $48,000
Mortgage amount = $192,000
The amount of the mortgage is $192,000.
(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where:
P = Principal amount (mortgage amount)
r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)
n = Total number of monthly payments (30 years multiplied by 12 months)
Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
Using this formula and performing the calculation will give you the monthly payment amount.
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64° 42 °
xº
48°
Find the value of x
Answers
Discuss measures that can be taken to develop the spirit of hard work
what is the solution of 3x+9<15
Answers
Answer:
Third one
Step-by-step explanation:
Two things to solve 3x+9 <= 15
3x <= 6
x <= 2
and - (3x+ 9) <= 15
- 3x - 9 <= 15
- 3x <= 24
3x >= -24
x > = - 8
s o -8 <= x <= 2
Answer:
-8 ≤ x ≤ 2
Step-by-step explanation:
Hello!
The absolute value expression gives us two scenarios:
3x + 9 ≤ 15-(3x + 9) ≤ -15We have to solve for x in both equations.
3x + 9 ≤ 153x + 9 ≤ 153x ≤ 6x ≤ 2-(3x + 9) ≤ 153x + 9 ≥ -153x ≥ -24x ≥ -8So x is less than or equal to 2, and x is greater than or equal to -8.
The sandwich inequality would be -8 ≤ x ≤ 2.
Determine whether 5, 7, and 9 could be the measures of the sides of a right triangle
Answers
Answer: Yes
Step-by-step explanation:
Use the Triangle Inequality:
5+7 > 9
7+9 > 5
5+9 > 7
All 3 statements are true, so 5, 7, 9 could be the sides of a right triangle
Kelsey used the similarity statement rst and rub to describe the triangles below
Answers
Answer:
what and hi i also need help
Step-by-step explanation:
Answer:
we need a picture then I can help
A farmer earns $___ for each orange she sells. She had to pay $___ for fertilizer. Part A: Rewrite the description by filling in the blanks with values of your choice to show the amount of money the farmer could earn selling any number of oranges, n. Make sure the values you choose make sense for this situation. (6 points) Part B: Write an algebraic expression from your written description used in Part A. Let n stand for the number of oranges. (6 points)
Answers
Part B: The algebraic expression for the amount of money the farmer could earn selling any number of oranges, n, is 0.20n - 25.
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
\(sin^{-1}(\frac{51}{53})\\=74.21\\\)
≈74
HELP ASAP MY MOMS LIKE VERY MAD AT ME CUZBTHIS IS LATE( don’t steal from other people cuz it’s wrong) (17 points and brainliest)
The stem-and-leaf plot displays the amount of time, in minutes, that a student spent practicing their musical instrument over 10 days.
1 5
2 0, 2, 5
3 2, 4
4 5
5 3, 6
6 0
Key: 2|0 means 20
Part A: Calculate the mean and median for the data given. (2 points)
Part B: A student would like to show their teacher that they have practiced long enough for the day. Which measure of center should the student give to their teacher? Explain your answer. (2 points)
Answers
The mean is 27.3. and the median is 24.5.
What is a mean median and mοde?A data set's mean (average) is calculated by summing all οf the numbers in the set, then dividing by the tοtal number οf values in the set. When a data cοllectiοn is ranked frοm least tο greatest, the median is the midpοint. The number that appears mοst frequently in a data set is called the mοde.
Part A:
Tο calculate the mean, we need tο add up all the values and divide by the tοtal number οf values:
15 + 20 + 22 + 24 + 25 + 26 + 30 + 35 + 36 + 60 = 273
273 / 10 = 27.3
Therefοre, the mean is 27.3.
Tο find the median, we need tο find the middle value when the data is οrdered frοm smallest tο largest.
Median = (24 + 25) / 2 = 24.5
Therefοre, the median is 24.5.
Part B:
The measure οf centre that the student shοuld give tο their teacher depends οn the teacher's preference. The median is a mοre rοbust measure οf center that is nοt as affected by οutliers οr extreme values. The median alsο gives a better sense οf the typical value in the data.
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Solve for X (look at photo for answer choices)
Answers
The numerical value of x in the inscribed angle and intercepted arc is 4.
What is the numerical value of x?An inscribed angle is simply an angle with its vertex on the circle and whose sides are chords.
The relationhip between an an inscribed angle and intercepted arc is expressed as:
Inscribed angle = 1/2 × intercepted arc.
From the image:
Inscribed angle XZY = 14x + 4
Intercepted arc XY = 30x
Value of x = ?
Plug these values into the above formula and solve for x.
Inscribed angle = 1/2 × intercepted arc.
14x + 4 = 1/2 × 30x
14x + 4 = 15x
15x = 14x + 4
15x - 14x = 4
x = 4
Therefore, x has a value of 4.
Option D) 4 is the correct answer.
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Solve this problem algebraically, using your knowledge of derivatives. Do not solve by graphing.
If 800 feet of fencing is used to enclose a rectangular plot of land that borders a river, what is the maximum area that can be enclosed? Answer to the nearest square foot without commas. For example, if the answer is 1,000, write 1000.
Answers
Answer:
Step-by-step explanation:
Select the correct scientific notation form of this numeral. Can someone help me with this
541
5.0 × 10 2
5 × 10 2
5.41 × 10 2
5.4 × 10 2
Answers
Answer:
it would be 5.41 x 10^2
Step-by-step explanation:
the reason it would be this is because when you have it ^2 you love the decimal that many places the same goes for the number was negative then you would move it backwards.
Answer:
The answer is 5.41 × 10^2
Step-by-step explanation:
To make sure the answer is right, picture a decimal on the right of the 1 in the numeral. Then, picture it going to the left until it's next to the 5. Since it moved twice, the exponent is 2 and the decimal is 5.41. Hope this helps!