The two artists will melt:
10 + 20/x crayons
in 20 minutes.
Write an expression for the number of crayons the two artists melt in twenty minutes when they both work for the full twenty minutes.The first artist melts one-half of a crayon per minute, so in 20 minutes, they will melt:
(1/2) x 20 = 10 crayons
The second artist takes x minutes to melt a crayon, so in one minute, they will melt:
1/x crayons
Therefore, in 20 minutes, the second artist will melt:
(1/x) x 20 = 20/x crayons
Together, the two artists will melt:
10 + 20/x crayons
in 20 minutes.
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lily is using dark power crystals to raise an army of zombies. each crystal can raise 9 99 zombies. how many crystals does lily need to raise 6 , 174 6,1746, comma, 174 zombies?
Lilly needs 686 dark power crystals to raise 6174 zombies.
To solve this problem, we need to determine how many dark power crystals are needed to raise a specific number of zombies. We know that each crystal can raise 9 zombies. So, to determine the number of crystals needed to raise a given number of zombies, we simply divide that number by 9.
In this case, we want to know how many crystals Lilly needs to raise 6174 zombies. So we divide 6174 by 9
= 6174 / 9
Divide the numbers
= 686
This means that Lilly needs 686 dark power crystals to raise 6174 zombie
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The given question is incomplete, the complete question is:
Lilly is using dark power crystals to raise an army of zombies.each crystal can raise 9 zombies. how many crystal does Lily need to raise 6174 zombies
how much money is 3462759.95 +463596739.98 equal
`100 points
Answer:
467,059,500
Thank you for the points! And this is really easy, just add :))
Change 20.4 yards to inches.
Answer: 734.4 inch
Step-by-step explanation:
Answer:
734.4 is the correct answer
It says Solve for x on this line
Answer:
1
Step-by-step explanation:
12 looks like the same segment as 11+2x
so:
12=11+2x
-11 -11
2=2x
divide both sides by two
x=1
In an animal shelter with $30$ animals, each of which is either a cat or a dog, $12$ out of $15$ dogs have long fur and $11$ out of $15$ cats have long fur. what is the probability that in a randomly selected group of five animals from the shelter, there will be two long-furred dogs and three long-furred cats? express your answer as a decimal to the nearest thousandth.
The probability that there will be two long-furred dogs and three long-furred cats will be 0.2728.
How to calculate the probability?Number of animals = 30
Number of dogs with long fur = 12/15 = 0.8
Number of cats with long fur = 11/15 = 0.73
The probability that there will be two long-furred dogs and three long-furred cats will be:
= (0.8)³ × (0.73)²
= 0.512 × 0.5339
= 0.2728
Therefore, the probability that there will be two long-furred dogs and three long-furred cats will be 0.2728.
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Mark wants to buy a computer that's normally $550, but after discount is $385. What percent of the original price does Mark pay?
Need photo of scratch work showing justification
Mark had to pay 70 percent of the original price.
What is percent?
A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Even though the acronyms "pct.", "pct.", and even "pc" are also employed the percent symbol, "%," is frequently used to indicate it. A percent lacks dimensions and has no associated unit of measurement. The ratio's numerical value is multiplied by 100 to obtain the percent value. The Latin word per centum, which means "hundred" or "by the hundred," is where the word "percent" originates. The Italian word per cento, which means "for a hundred," gradually shrank to become the symbol for "percent."
Mark paid = $385
Original price = $550
Percent what Mark pay = (385/550) x 100 percent
= 70 percent
Hence, Mark had to pay 70 percent of the original price.
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(2,1)
Which of the following could be the quadratic function graphed in the xy-plane above?
f(x) = 2x2
f(x) = x2 + 1
f(x) = (x - 2)2 + 1
f(x) = (x - 1)2 + 2
Answer:
the correct answer is f(x)=(x-2)^2 + 1
Step-by-step explanation:
lets loof for f(2) :
f(2)=(2-2)^2 + 1
f(2)=(0)^2 + 1
f(2)= 1 ---> (2,1)
Select the correct answer.
What is the simplified form of this expression?
(-x² + x) + (4x²-x-1)
a 3x²-1
b -5x² + 2x + 1
c -3x²2² +1
d 5x²+2x-1
Answer:
its A
Step-by-step explanation:
-x²+x+(4x²-x-1)
-x²+x+4x²-x-1
-x²+4x²-1
3x²-1
What two multiples of ten is the quotient 510 divided by 7 between?
_____and______
Answer:
30 and 40
Step-by-step explanation:
30 and 40
help please don’t know how to do this
Answer:
1. C,D
2. B,C,D
3. E
4.D
5.A,B,C,D
6.D
7.C,D
8.E
Step-by-step explanation:
Hope this helps ;)
if a number is divisible by two co-prime numbers then it is also divisibe by their product true or false
Answer:
Hello,
Answer TRUE.
Step-by-step explanation:
a | n is read, a divide n.
if a | n => n=a*q
if b | n => b | a*q , since gcd(a,b)=1, b | q ==> b=q*k
n=a*q=a*b*k=(a*b)*k so a*b | n
Stone runs 1 mile five times a week. How many miles does 4 he run each week? Write the equation you would use to solve. Then, fill in the grid with your answer. Tip: Fill in your answer as a fraction greater than 1.
The number of miles in 4 weeks is 20 mules
How to determine the number of milesFrom the question, we have the following parameters that can be used in our computation:
Stone runs 1 mile five times a week
This means that the rate is
Rate = 1 mile * 5 per week
So, we have
Rate = 5 miles per week
For 4 weeks, we have
Distance = 5 * 4
Evaluate
Distance = 20 miles
Hence, the distance is 20 miles
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PLS JUST ANSWER IT MATH
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10,16,20, and 28. There are two dots above 8 and 14. There are three dots above18. There are four dots above 12. The graph is titled Bus 14 Travel Times.
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 47, with an IQR of 8
Bus 14, with an IQR of 6
Bus 47, with a range of 8
Bus 14, with a range of 6
Bus 47 is more consistent because it has a larger IQR, which means that its travel times are more tightly clustered around the median travel time.
Describe Range?In mathematics and statistics, the range of a set of data refers to the difference between the largest and smallest values in that dataset. It is a measure of the spread or dispersion of the data.
To find the range of a dataset, you subtract the smallest value from the largest value. For example, if you have a dataset of test scores: 65, 72, 80, 85, 92, 98, the highest score is 98 and the lowest score is 65. Therefore, the range of the test scores is 98 - 65 = 33.
While range is a simple and easy-to-calculate measure of dispersion, it can be sensitive to outliers or extreme values in the dataset, which may not be representative of the overall data. Other measures of dispersion, such as variance or standard deviation, may be more appropriate in some cases.
The correct measure of variability to use in this case is the interquartile range (IQR).
For Bus 47, the IQR is the difference between the third quartile (Q3) and the first quartile (Q1), which can be read off the graph. The third quartile is 22 minutes and the first quartile is 14 minutes, so the IQR is 22 - 14 = 8 minutes.
For Bus 14, the IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The third quartile is 20 minutes and the first quartile is 14 minutes, so the IQR is 20 - 14 = 6 minutes.
Therefore, Bus 47 is more consistent because it has a larger IQR, which means that its travel times are more tightly clustered around the median travel time. The range, which is the difference between the maximum and minimum values, is not the best measure of consistency in this case because it does not take into account the distribution of the data.
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Determine the production cost of 7 devices ,if labour amounts to 4140,computing components cost is 1035 and savings on reusable material is 1725
The production cost of the 7 devices is $6900
What is production cost?Production cost is simply defined as the sum of costs of all resources that is consumed in the process of making a product.
The production cost is classified into three categories. They are;
direct materials cost direct labor cost manufacturing overheadIt is also seen as a factor in total delivery cost.
From the information given, we have that;
Labor costs = 4140
Computing costs = 1035
Savings on reusable material = 1725
Production cost = 4140 + 1035 + 1725
add the values
Production cost = $6900
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A manager purchased a total of 21 coffee mugs and key chains. Each coffee mug costs $8.50, and each key chain costs $2.75. If the manager spent a total of $132.50, how many coffee mugs did the manager purchase
13 coffee mugs
sorry I really can't explain this annoying type thing won't let me type so long
Answer:
13
Step-by-step explanation:
the newly elected president needs to decide the remaining 4 spots available in the cabinet he/she is appointing. if there are 11 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?
The probability of different ways in which members of the cabinet be appointed is 330
What is probability?Probability is a measure of the possibility of an event occurring.
The likelihood could range from 0 to 1, , where 0 indicates an impossibility and 1 indicates a certainty. Probability is the ratio of possible outcomes to the total outcomes.
Probability = Possible outcomes/total outcomes
The different ways can the members of the cabinet be appointed is given by:
P = ¹¹C₄
P = (11*10*9*8) / (4*3*2*1)
P =330 ways
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how do you solve like for real
Answer:
the answer is 207 over 20
Answer:
10.35
Step-by-step explanation:
Here's how i did it:
1) 63756 x 60= 3825360
2) 70 x 5280= 369600
3) 3825360/369600 = 10.35
Graph the system of equations on your graph paper to answer the question.
y=−3x+9
y=−x−5
What is the solution for the system of equations?
(9, 4)
(-7, 12)
(7, -12)
(12, -7)
Answer:
As the point of the intersection of the lines is (7, -12), the solution of the system is
\(y=-12,\:x=7\)
Please check the attached graph below.
Step-by-step explanation:
Given the system of the equations
\(y=-3x+9;\:y=-x-5\)
Check the attached graph below.
It is clear from the graph that the lines intersect at x =7 and y = -12
so the point of the intersection of the lines is (7, -12)
Hence, the solution of the system is
\(y=-12,\:x=7\)
VERIFICATION BY SOLVING THE SYSTEM OF THE EQUATION
Given the system of the equations
\(y=-3x+9;\:y=-x-5\)
Solving the system of the equations
\(\begin{bmatrix}y=-3x+9\\ y=-x-5\end{bmatrix}\)
\(\mathrm{Subsititute\:}y=-x-5\)
\(\begin{bmatrix}-x-5=-3x+9\end{bmatrix}\)
Isolate x for \(-x-5=-3x+9\)
\(-x-5=-3x+9\)
\(-x-5+5=-3x+9+5\)
\(2x=14\)
\(x=7\)
\(\mathrm{For\:}y=-x-5\)
\(\mathrm{Subsititute\:}x=7\)
\(y=-7-5\)
\(y=-12\)
\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)
\(y=-12,\:x=7\)
A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472.
Find the substance’s half-life, in days. Round your answer to the nearest tenth.
A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.
The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:
t = (0.693 / k)
where t is the half-life and k is the decay constant.
In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.
t = (0.693 / 0.1472) ≈ 4.7 days
Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.
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complete the sentence: if logarithmic functions are defined as g(x) = loga x, then the greater the value of a,a.the log x neither increases nor decreasesb.None of thesec.the faster logax increasesd.the slower logax increases
The answer to the statement, "if logarithmic functions are defined as g(x) = loga x, then the greater the value of a.." is c. the faster logax increasesd.
What is logarithm?The power to which a number must be raised in order to obtain other numbers is referred to as a logarithm. The easiest method to express large numbers is this way. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms can also be expressed as multiplication and division of logarithms.
If logarithmic functions are defined as g(x) = loga x, then the greater the value of a, the faster logax increases (option c).
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For g(x) = 3x, describe the value of x when g(x) < 27.
When g(x) < 27, x<
Answer:
x < 9
if g(x) < 27
Step-by-step explanation:
Since g(x) = 3x
then for g(x) = 27
3x = 27
x = 27/3
x = 9
so when g(x) < 27
x < 9
In ΔMNO, m = 55 inches, n = 48 inches and o=59 inches. Find the measure of ∠O to the nearest 10th of a degree.
The measure of the angle O is 81.77 degrees.
To find the measure of ∠O, we can use the Law of Cosines, which states that:
\(c^2 = a^2 + b^2 - 2ab*cos(C)\)
where c is the side opposite the angle we want to find (in this case, side o), a and b are the other two sides (in this case, sides m and n), and C is the angle opposite side c (in this case, ∠O).
Substituting the given values, we get:
\(o^2 = m^2 + n^2 - 2mn*cos(O)\)
\(59^2 = 55^2 + 48^2 - 2(55)(48)*cos(O)\\3481 = 3025 + 2304 - 5280*cos(O)\\756 = 5280*cos(O)\\cos(O) = 756/5280\\O = cos^{-1}(756/5280)\\O = 81.77 degrees\)
Therefore, the measure of ∠O to the nearest \(10^{th\) of degree is approximately 81.77 degrees.
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Which function represents g(x), a reflection of f(x) = }
(10)* across the x-axis?
O g(x) = - (10)*
O g(x) = -(0)
O g(x) = (10)
O g(x) = { (10)*
Answer:
\(g(x) = -(10)^x\)
Step-by-step explanation:
For a general function f(x), a reflection across the x-axis is written as:
g(x) = -f(x)
So, if here the function is:
\(f(x) = 10^x\)
The reflection across the x-axis is:
\(g(x) = -f(x) = -(10)^x\)
The correct option is the first one, counting from the top.
How many games for 10 teams to play each other twice?.
There will be 90 games for 10 teams to play each other twice
There are ten teams in total.
Team 1 will play the match with rest of the 9 teams.
There will be 9 matches in total.
Similarly, team 2 will play rest of 8 teams as team 1 had already played with.
There will be 8 matches.
This will go like:
9 + 8+ 7 + 6 + 5 + 4 + 3 + 2 + 1
This series is a arthimetic progression with common difference is 1
The sum of a a(a + 1)/2
9(9 + 1)/2
= 45
45.
Since each match will happen twice, there will be 90 matches.
Therefore, The 10 teams to play each other twice so there will be 90 matches in total.
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Round each fraction to the nearest half and find the estimate. 2/6 + 1/6 one half 1 one and one half 2
Answer:
one half
Step-by-step explanation:
Given the expression
2/6 + 1/6
Find the LCM
\(= \dfrac{2+1}{6} \\= \dfrac{3}{6} \\= \dfrac{3*1}{3*2}\\= \dfrac{3}{3} * \dfrac{1}{2} \\= 1 * \dfrac{1}{2}\\= \dfrac{1}{2}\)
Hence the required result is one half
a woman runs 300 meters in 50 seconds whats her speed (show work and the formula)
Answer:
300 divided by 50=6 meters per second
Hope This Helps!!!
Step-by-step explanation:
Solution,
speed = distance traveled ÷ time taken
= 300÷50s
= 6/1
Therefore, speed is 6/1 [6 by 1]
how many 1/2 cup serving would 3 gallons of punch provide?
Answer: 96 servings.
Step-by-step explanation:
There are 16 cups in 1 gallon, so 3 gallons of punch would be equal to:
3 gallons x 16 cups/gallon = 48 cups
If each serving size is 1/2 cup, then the number of servings in 3 gallons of punch would be:
48 cups / (1/2 cup/serving) = 96 servings
Therefore, 3 gallons of punch would provide 96 servings, assuming each serving size is 1/2 cup.
In joes summer camper there are 20 total campers. Joe claims that the ratio of swimmers to non-swimmersin the cambin is 3:10 because 3/10 of the campers can swim explain why joe is incorrect? Wg=hat is the correct ratio of swimmers to non-swimmers? Remember to reduce the ratio
Joe is incorrect because the ratio of swimmers to non-swimmers in the camp is not 3:10. To determine the correct ratio, we need to calculate the number of swimmers and non-swimmers based on the given information.
Joe claims that 3/10 of the campers can swim. To find the number of swimmers, we multiply the total number of campers (20) by the fraction of swimmers (3/10):
Number of swimmers = 20 * (3/10) = 6
Next, we can find the number of non-swimmers by subtracting the number of swimmers from the total number of campers:
Number of non-swimmers = 20 - 6 = 14
Therefore, the correct ratio of swimmers to non-swimmers is 6:14. However, this ratio can be further simplified by dividing both numbers by their greatest common divisor, which is 2 in this case:
Simplified ratio of swimmers to non-swimmers = 6/2 : 14/2 = 3:7
So, the correct ratio of swimmers to non-swimmers in Joe's summer camp is 3:7, not 3:10 as Joe claimed.
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Which of the following statements describes the process for solving 4x ≥ -24?
A. Divide both sides of the inequality by 4 and flip the symbol.
B. Divide both sides of the inequality by -24 but don't flip the symbol.
C. Divide both sides of the inequality by 4 but don't flip the symbol.
D. Divide both sides of the inequality by -24 and flip the symbol.
Answer:
C. Divide both sides of the inequality by 4 but don't flip the symbol.
Step-by-step explanation:
When you solve an inequality, you have to get the x by itself. So, in this inequality, the first thing you would do is divide both sides of the inequality by 4. The new and solved equation would look like this:
x ≥ -6
Because multiplying by a negative, dividing by a negative, or having negatives on both sides of the inequality was not involved in solving for x, flipping the symbol is not needed.
I really hope this helps! Have an amazing day :3
describe 3 or 4 other potential sources of error that may affect your results and explain why that will change the calculated answer.
The possible sources of inaccuracy that could have an impact on your results are -
Interfaces that are incompatible.Not enough time to do the assignment.Conditions that are not tested.Define the term Experimental error?While conducting a scientific experiment, numerous errors—either systematic or random—could happen.
Errors may result from the calibration of the equipment, the preparation of the solution, or the mass- or volume-based measurements. The precision of the investigation and the recovery of the products can both be impacted by experimental mistakes. The stock solution could be diluted by the student using an inaccurate volume measurement, leading to a higher concentration over desired. For instance, the student might pipette their stock solution before dilution and accidentally add extra volume. On the other hand, if the learner adds less water than is required for dilution, the concentration will likewise be higher.Thus, more measuring is done when the bias is smaller and more measuring is done when the uncertainty is smaller.
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