Answer:
18 tiles
Step-by-step explanation:
If she wants to find the greatest number of tiles for each row, she will want to use up all the tiles. This means we are looking for the highest common factor between the numbers 90 and 72, so all the tiles can be used up in the rows. In order to find the highest common factor we multiply together all the common prime factors between the two:
90 has the prime factors 2x3x3x5
72 has the prime factors 2x2x2x3x3
The prime factors that are common to both are 2, 3 and 3 which multiply together to get:
2x3x3 = 18
The greatest number of tiles Martha can use for each row is 18 and would result in 5 rows of red tiles and 4 rows of yellow tiles.
Hope this helped!
A student looking at global population figures remarks that between the years 1950 and 2010 the global population can be modelled by the equation 300y= 23t−44 180 (1950≤t≤2010),
Write down the gradient of the straight line represented by the equation 300y= 23t−44 180 (1950≤t≤2010)
What does this represent in the practical situation being modelled?
Answer:
The equation is (i guess):
300*y = 23*t -41,180
This is a linear equation, where y represents the population, and t represents time (in years)
Now, to find the gradient, we must derive the function y with respect to the time.
then we can write:
y = (23/300)*t - (41,180)/300.
now, remember that when we have:
y = a*x^n
we also have:
dy/dx = n*a*x^(n-1)
then in this case, we have:
dy/dt = (23/300) + 0
now we pass aain the 300 to the right:
300*dy/dt = 23.
d(300*y)/dt = 23
what does this mean?
Thie mean that for each unit of that t increases, we have an increase of 23 units in 300*y.
302 + 299 + 296 + 293 ... + 2 = _____ what is the sequence using Gauss’s Law
By Gauss's Law the approach of solving sum of a sequence of n terms in arithmetic progression is :
[tex]S_n=\dfrac{n}{2}(a_1+a_n)[/tex] ......1 )
Here, [tex]a_n = 302[/tex] , [tex]a_1=2[/tex] .
We know :
[tex]a_n=a_1+(n-1)d\\\\302=2+3(n-1)\\\\n = 101[/tex]
Putting, all values in equation 1) we get :
[tex]S_n=\dfrac{101}{2}\times (2+302)\\\\S_n=101\times 152\\\\S_n=15352[/tex]
Therefore, the sum of sequence using Gauss's Law is 15352.
Hence, this is the required solution.
A population of protozoa develops with a constant relative growth rate of 0.4142 per member per day. On day zero the population consists of five members. Find the population size after eight days. Step 1 Since the relative growth rate is 0.4142, then the differential equation that models this growth is dP dt
Given :
A population of protozoa develops with a constant relative growth rate of 0.4142 per member per day.
On day zero the population consists of five members.
Differential equation : [tex]\dfrac{dP}{dt}=0.4142P[/tex]
To Find :
The population size after eight days.
Solution :
Rate of growth , R = 0.4142 .
Now ,
Differential equation is :
[tex]\dfrac{dP}{dt}=0.4142P\\\\P_n=Ce^{0.4142n}[/tex]
For n = 0 .
[tex]5=C(1)\\C=5[/tex]
So ,the relation is [tex]P_n=5e^{0.4142n}[/tex] .
Putting n = 8 .
[tex]P_8=5e^{0.4142\times 8}\\\\P_8=137.42[/tex]
Hence , this is the required solution .
Find the difference. (3 • 1,000) - (2• 100)
The value of ( 3 x 1,000 ) - ( 2 x 100 ) is 2,800.
Here,
Given that, ( 3 x 1,000 ) - ( 2 x 100 )
What is subtraction of two number?
Subtraction is the operation of taking the difference of two numbers.
Now,
Firstly the value of 3 x 1000 = 3000
And, 2 x 100 = 200
⇒ 3000 - 200 = 2800
Hence, The value of ( 3 x 1,000 ) - ( 2 x 100 ) is 2,800.
Learn more about the subtraction visit:
https://brainly.in/question/12241794
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Order from least to greatest 1 1/4, 1 2/3, 11/12
Help please, quick!
Answer:
[tex]\frac{11}{12}[/tex],[tex]1\frac{1}{4}[/tex],[tex]1\frac{2}{3}[/tex]
Step-by-step explanation:
It wants you to take these 3 fractions and arrange them from least to greatest.
The first thing I did was look for the fraction with no number in front of it.
[tex]\frac{11}{12}[/tex] is the only fraction that has no numbers in front of it. So
The second thing I did was look for the fraction that had the biggest number in front of it. I see that the remaining fractions have the same number in front.
So, I drew 2 circles. 1 of the circles I shaded in and the other I split into 4 equal halves. I shaded in one of the halves. These 2 circles represent [tex]1\frac{1}{4}[/tex].
The next thing I did was draw 2 more circles. I shaded in one of them and slit the other one into 3 equal halves. I shaded in 2 of the halves. These 2 circles represent [tex]1\frac{2}{3}[/tex].
Last, look at the 4 circles and ask yourself which one is the most shaded in. If you said [tex]1\frac{2}{3}[/tex] you are correct. This fraction is the biggest. Meaning that [tex]1\frac{1}{4}[/tex] is in the middle.
factorise completely.
21a²+28ab
The complete factorization of 21a² + 28ab is 7a(3a + 4b)
Factorization is an arithmetic operation used in resolving an expression into factors in which when the factors are being multiplied together, the original expression can be derived. They produce factors that can be divided into the original expression.
Given that:
= 21a² + 28ab
here, we will look for a factor that if divide in both 21 and 28, there won't be any remainder. The factor is 7;
So, we have:
= 7(3a² + 4ab)
= 7a(3a + 4b)
Therefore, the complete factorization of 21a² + 28ab is 7a(3a + 4b)
Learn more about factorization here:
https://brainly.com/question/14067703?referrer=searchResults
Evaluate the expression if w=−2. |4w+3|
Answer:
5Step-by-step explanation:
[tex]|4w+3|\\w =-2\\[/tex]
Substitute ; w= -2 into the given equation
[tex]|4(-2)+3|\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=\left|-4\cdot \:2+3\right|\\\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:2=8\\=\left|-8+3\right|\\\\\mathrm{Add/Subtract\:the\:numbers:}\:-8+3=-5\\=\left|-5\right|\\\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\[/tex]
Jason charges $18 plus $4 per hour to mow lawns. Andrew charges $7 per hour with a $12 dollar up front cost. In what situation does Jason charge more than Andrew.
Help what is the value of X
Add parentheses to the equation below so that x = 90. 3 + 2^2 /4 - 10 = x
Answer:
(3+2)²*4-10=x
Step-by-step explanation:
If it was a typo and is actually times 4, not divided by 4, then here is the answer:
(3+2)²*4-10=x
5²*4-10=x
25*4-10=x
100-10=x
90=x
If it actually was divided by 4, I don’t see any way it can be done.
Answer:
B
Step-by-step explanation:
(3+2)²*4-10=x
9. When you get to the island, you decide to take a kayak tour to a nearby reef. A kayak is a small boat you row with a paddle. Find the speed for the kayak. Use one of these facts to help. The steamboat's speed is 4 less than 8 times the speed of the kayak. The tall ship's speed is 1 more than 3 times the speed of the kayak. The yacht's speed is 5 less than 15 times the speed of the kayak. Write and solve an equation for the speed of the kayak. Show your work. (5 points: 2 points for writing a correct equation, 3 points for the solution)
10. The length of your trip to the island is 40 nautical miles less than 20 times the distance to the reef. It's 2:00 p.m. now, and your boat leaves the island at 7:30 p.m. Will you be able to kayak to the reef and back by then? If so, how long will you have to spend at the reef? If not, how late will you be for the return trip? Explain how you plan to solve this problem. Then solve the problem, showing all work. (5 points: 2 points for the explanation of the plan, 1 point for deciding if you will make it back to the island on time, and 2 points for determining either how long you can spend at the reef or how late you'll be)
Answer:
hi
Step-by-step explanation:
1. Circle the two boats you picked for your trip.
the yacht and the tall ship (aka the pirate ship)
2. Make sense of the problem.
what do you know?
The tall ship makes the trip in 10 hours. The yacht makes the trip in 2.5 hours. The tall ship is 30 knots slower than the yacht.
what do you want to find out?
How fast is each boat traveling in knots (nautical miles per hour)?
what kind of answer do you expect?
probably just some numbers like 10 miles per hour or 40 miles per hour
Writing some expressions
3. Write an expression for the distance going to the island. Let x be the speed of the boat you are taking to the island. Distance is equal to speed times time. (2 points)
the expression would be D = 10(x-30), d is the distance. it could also be simplified to 10x - 300
4. Write an expression for the speed of the boat coming back from the island in terms of the other boat's speed. Let x be the speed of the boat you are taking to the island. (2 points)
so the yacht's speed would be S = x knots, s is for speed.
5. Write an expression for the distance returning from the island. Use the expression for speed you found in question 4. Remember that distance is equal to speed times time. (2 points)
the distance returning from the island would be D = 2.5x.
6. Each ship travels the same distance. Set the distances equal to each other to get the equation for the speed of the ship you are taking to the island. (1 point)
10x - 300 = 2.5x
7. Solve the equation from question 6 for x. What does this tell you? (5 points: 1 point for showing your work, 3 points for solving for x, 1 point for explaining the answer)
10x - 300 = 2.5x
10x - 300 + 300 = 2.5x + 300
10x -2.5x = 300
7.5x = 300
x = 40
x is the speed of the yacht. (40 nautical miles per hour)
8. How fast does the second boat travel? Show your work. (2 points: 1 point for showing your work, 1 point for the answer)
the yacht travels at 40 nautical miles per hour and the tall ship travels at 100 (10x - 300) nautical miles per hour.
9. When you get to the island, you decide to take a kayak tour to a nearby reef. A kayak is a small boat you row with a paddle.
Find the speed for the kayak. Use one of these facts to help.
The steamboat's speed is 4 less than 8 times the speed of the kayak.
The tall ship's speed is 1 more than 3 times the speed of the kayak.
The yacht's speed is 5 less than 15 times the speed of the kayak.
Write and solve an equation for the speed of the kayak. Show your work. (5 points: 2 points for writing a correct equation, 3 points for the solution)
the equation for the speed of the kayak is 40 = 15x - 5, which in this case, x is the speed of the kayak
40 = 15x - 5
40 + 5 = 15x -5 + 5
45 = 15x
x = 3
therefore, the speed of the kayak is 3 nautical miles per hour.
10. The length of your trip to the island is 40 nautical miles less than 20 times the distance to the reef.
It's 2:00 p.m. now, and your boat leaves the island at 7:30 p.m. Will you be able to kayak to the reef and back by then?
If so, how long will you have to spend at the reef?
If not, how late will you be for the return trip?
Explain how you plan to solve this problem. Then solve the problem, showing all work. (5 points: 2 points for the explanation of the plan, 1 point for deciding if you will make it back to the island on time, and 2 points for determining either how long you can spend at the reef or how late you'll be)
the distance to the island is 100 nautical miles, so the expression would be 100 = 20x -40, with x being the distance to the reef.
we can solve for x by doing:
100 = 20x -40
100 + 40 = 20x - 40 + 40
140 = 20x
140 / 20 = x
x = 7
so the distance from my starting point to the reef will be 7 nautical miles, and the distance from the island to the reef would be 93 nautical miles.in that case, I would be like a day and a half late, but if you are trying to say that the ship is waiting for me at the starting point of my "adventure", then I would not be late if I kayak from my starting point to the reef, in fact, I could stay at the reef for like 50 min, because:
7 / 3 = 2 1/3 hours.
2 1/3 x 2 = 4 2/3 hours or 280 min. (to the reef and back)
7:30 p.m. - 2:00 p.m. = 5 1/2 hours or 330 min. (how much time I have till the ship leaves)
330 - 280 = 50 min. (how many min I can spend at the reef)
This is for the people that want to find out how to find the distance to the island.
jamescodwell answered all the questions correctly btw.
Step-by-step explanation:
Distance travelled divided by trip time = speed
trip time multiplied by speed = distance travelled
So the steamboat makes the trip in 5 hours travelling at a speed of 20 knots.
5 * 20 = 100 The trip to the island is 100 nautical miles.
• She used a coupon for $3.00 off the total price of the items she
This expression can be used to determine the price of the items Nakit
(2(3.50 -0.80) + 4.85 + 2.40) – 3.00
What is the price of the items Nakita bought?
A $6.95
B $10.45
C $9.65
D $12.65
Chin researched the body weight, in pounds, of professional football players. He created a table of different sample means from his data. Sample Sample Mean (pounds) 1 240 2 236 3 245 4 243 5 238 6 242 Which statements are true? Select three choices. The variation in the sample means makes it possible to make predictions about the population mean. The actual population mean is greater than 236. The actual population mean is less than 245. The actual population mean is greater than 245. The population mean is the average of the sample means.
Answer:
The variation in the sample means makes it possible to make predictions about the population mean. The actual population mean is greater than 236. The actual population mean is less than 245.Step-by-step explanation:
Sample data
1 2 3 4 5 6240 236 245 243 238 242Mean = sum of sample data/sample frequency
(240+236+245+243+238+242)/6 = 240.67Answer choices:
The variation in the sample means makes it possible to make predictions about the population mean.
Correct.The actual population mean is greater than 236.
Correct. 240.67 > 236The actual population mean is less than 245.
Correct. 240.67 < 245The actual population mean is greater than 245
Incorrect.The population mean is the average of the sample means.
Incorrect.Answer:
It is numbers 1, 2, and 3!
Step-by-step explanation:
find the area of a rectangle that has a length of 8 inches and a width of 9 inches
Answer:
72in
Step-by-step explanation:
area=length x width
a=8x9
-28 (-13)
Can someone please?
Find the value of x in the proportion 8/9 = x/36
A five-pound bag of flour costs $2.90 and holds 10 cups. How much will
it cost for two-and-one-quarter cups of flour?
Answer:
65 cents
Step-by-step explanation:
divide 10 by 2.25 to get the factor. Next divide 2.9 by that to get your answer. 10/2.25 = 4 4/9. 2.9/ 4 4/9 = 0.6525 --> 0.65
State the domain and range and determine if its a function
Answer:
The first element of a set which is linked with the element of second set is called domain.
The element of second set is known as range.
Answer:
When functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. These won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. Small sets of points are generally the simplest sorts of relations, so your book starts with those.
for example
State the domain and range of the following relation. Is the relation a function? {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}
The above list of points, being a relationship between certain x's and certain y's, is a relation. The domain is all the x-values, and the range is all the y-values. To give the domain and the range, I just list the values without duplication:
domain: {2, 3, 4, 6}
range: {–3, –1, 3, 6}
(It is customary to list these values in numerical order, but it is not required. Sets are called "unordered lists", so you can list the numbers in any order you feel like. Just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)
While the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). Since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.
solve this equation x−117=317
The answer is 434 !!
You can also solve this by doing 317-117= ?
Answer:
434
Step-by-step explanation:
Rita's class has 14 girls and 16 boys. How does the ratio 14 : 30 describe Rita's class?
Answer:
14: 16 is the ratio of girls to boys
And the ratio 14:30 is the ratio of girls to the total of students
Step-by-step explanation:
HHEELLPP ME PLEASE
1/2x + 1/3y = 3
Which of the following equations is equivalent to the given equation?
A. 3x + 2y = 3
B. 2x + 3y = 18
C. 3x + 2y = 18
A 9-pack of markers costs $6.21. What is the unit price?
Answer:
1.449275362
Step-by-step explanation:
Answer:
$0.69
Step-by-step explanation:
Step 1:
$6.21 ÷ 9
Answer:
$0.69
Hope This Helps :)
Find the perimeter of a regular octagon if one of its sides is x + 6 and another side is 14 – x.
Answer:
80 units
Step-by-step explanation:
The sides of a regular octagon are all the same length.
x +6 = 14 -x
2x = 8 . . . . . . add x-6
x = 4
x+6 = 10 . . . . the length of each of the 8 sides
P = 8s = 8(10) = 80
The perimeter of the octagon is 80 units.
-8 1/6 into decimal form
Answer:
-7.83333333333
Explanation:
Convert -8 1/6 into an improper fraction-8 1/6: -47 / 6To turn a fraction into a decimal divide the numerator by the denominator
-47 ÷ 6
= -7.83333333333
If a 48-gram serving of pasta contains 6 g of protein, how many grams of protein are in a 908-gram box of the pasta?
Answer:
i believe the answer is 114g of protein. i hope this helps
Step-by-step explanation:
Solve for x.
3(-4x-1)-2x+4=43
Please help I’m crying my eyes out I hate delta math
Answer:
x = - 3Step-by-step explanation:
3 (-4 x - 1) - 2 x + 4 = 43
Expand the terms in the bracket
That's
- 12x - 3 - 2x + 4 = 43
- 14x + 1 = 43
Using the subtraction property subtract 1 from each side of the equation
- 14x + 1 - 1 = 43 - 1
- 14x = 42
Divide both sides by - 14
[tex] \frac{ - 14x}{ - 14} = - \frac{42}{14} [/tex]
We have the final answer as
x = - 3Hope this helps you
What is the solution to this equation?
–14x = 70
A.x = –5
B.x = 5
C.x = 84
D.x = –84
Answer:
x = − 5
Step-by-step explanation:
Divide each term by − 14 and simplify.
Answer: x =5
Step-by-step explanation:
14x/14= 70/14
X = 5
What is 1+6 idk know what is it I need help
4. Between which two whole
numbers does V150 lie?
Answer:
12 & 13
Step-by-step explanation:
trust me
need help asap please and thanks!
Answer:
3 to 1
Step-by-step explanation:
Because the 6 is the bigger number but is also on the left which means the number on the right has to divide into the six therefore 3 to 1