Using Avogadro's number, you can calculate the number of molecules in a mass of water by dividing the number of molecules in a given mass by the mass, then multiplying by the mass you are interested in. Reverse the process to find the mass given the number of molecules.
Explanation:This question is about molar calculations, or figuring out how many molecules are in a given mass of a substance using Avogadro's number. We can start by calculating how many molecules there are in one gram of water:
First, take the number of molecules in 0.065g of water (2.174 × 10^21), then divide that by 0.065 to find out how many molecules are in 1g. Then, multiply by 200 to find out how many molecules are in 200g of water.
For the second part of your question, we're given the number of molecules and need to find the mass in grams. Reverse the original calculation. If 2.174×10^21 molecules are in 0.065 g of water, then divide 1.271 × 10^28 by 2.174 × 10^21 to find out how many 0.065g portions there are. Then, multiply by 0.065 to get the mass in grams.
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Tommy has a piece of toast that has butter on one side, and he dropped it twice. Both times, it landed with the butter side up. If he drops it 2 more times, what is the probability that it will have landed butter side up a total of 3 times?
Answer: 1/2.
Explanation:
First, note that since the previous drops have already happened, their result do not modify the occurrence of future results when the toast is dropped again.
In oder to have a total of three time landing butter side up, exactly, there are two possibilities:
Since there are two ways of totaling side up 3 times, you have to sum both chances.
1) Next drop butter side up and second drop butter side down:
1/2 × 1/2 = 1/4
2) Next drop butter side down and second one butter side up:
1/2 × 1/2 = 1/4
3) Add both probabilities: 1/4 + 1/4 = 1/2
And that is the answer: 1/2
the awnser of the question plzzz
Hey there! Welcome to Brainly
We see that Damian earns $8 for every hour he works. This means that when x=1, Damian will earn 8 dollars, 2 he will earn $16, etc.
Since he constantly adds 8 every hour, it would look like this.
8+8+8+8+8+8+8.....
This is an example of multiplication.
The thing is, we are not sure how many 8's we are adding.
We can use the variable "x" to represent ANY number of 8's, or hours he worked.
We would multiply this x by 8 to show that he will earn $8 for EACH number of hours he works.
8 x x
The problem is, we cannot write our multiplication sign like this, because it looks just like our x we are using.
We can rewrite our multiplication symbol using · or we can just put our x right next to the eight. When a variable is right next to a constant, or number without a variable, it turns it into a mini multiplication equation, but in a simplified form.
8x
Now, we need to write this as an equation. We need to say that something else is equal to 8x. We could say, his money, which we can represent with as d.
Therefore, we could write our equation as d= 8x.
I hope this helps! Have a day as sweet and fresh as lemonade! :)
john ran 6 2/3 miles last week he ran 1 1/3 miles each day how many days did he run
[tex]6\frac{2}{3} = \frac{3(6) + 2}{3} = \frac{20}{3} miles[/tex]
[tex]1\frac{1}{3} = \frac{3(1) + 1}{3} = \frac{4}{3} miles/day[/tex]
[tex]\frac{20}{3} miles[/tex] ÷ [tex]\frac{4}{3} miles/day[/tex]
= [tex]\frac{20(miles)}{3}[/tex] * [tex]\frac{3(days)}{4 (miles)}[/tex]
= [tex]\frac{20(3) days}{3(4)} = \frac{20 days}{4} = 5 days[/tex]
Answer: 5 days
How can I do this ???? Plz help
An industrial machikne is able to make 9 pens in 3 seconds. What is the rate made per second?
This problem can be solved using proprtions. Once you set up the proportion, the calculations are easy.
Let x = number of pens made in 1 second.
[tex]\frac{9pen}{3sec} = \frac{xpen}{1 second}[/tex]
Now, you just cross multiply and solve.
9 = 3x
x = 3
The rate is 3 pens per second.
A store is giving away a $10 coupon to every 7th person to enter the store and a $25 coupon to every 18th person to enter the store. which person will be the first to get both coupons?
Hello Beathegggirlboss101
The answer would be the 126th person
We have to find what would be divisible to 7 and 18.
Trying to divide 126 by 7 and 18 (different problems) would get the answer
:)
The 126th person will be the first to get both coupons.
Explanation: The lowest common factor of 7 and 18 is 126 (which means the number that 7 and 18 multiply into.)
Hopefully this makes sense and was helpful. (:
Olivia purchased x child tickets and y adult tickets at the movies. She spent a total of $46. The equation below describes the relationship between the number of child tickets and the number of adult tickets purchased. The ordered pair (4, 2) is the solution to the equation. What does the solution (4, 2) represent?
Let
x---------> the number of child tickets
y--------> the number of adult tickets
we know that
the equation that describes the relationship between the number of child tickets and the number of adult tickets is a linear equation
If the point[tex](4,2)[/tex] is the solution
then
the number of child tickets is [tex]4[/tex]
the number of adult tickets is [tex]2[/tex]
therefore
the answer is
the solution [tex](4,2)[/tex] represent that
the number of child tickets is [tex]4[/tex]
the number of adult tickets is [tex]2[/tex]
The solution (4, 2) means Olivia purchased 4 child tickets and 2 adult tickets at the movies for a total of $46.
The student's question involves interpreting the solution to a linear equation in the context of purchasing movie tickets. The specific solution given is the ordered pair (4, 2). In the context of the problem described, the number '4' represents the quantity 'x', which is the number of child tickets purchased, and the number '2' represents the quantity 'y', which is the number of adult tickets purchased. Therefore, the solution (4, 2) means that Olivia purchased 4 child tickets and 2 adult tickets at the movies for a total expenditure of $46.
Solve for x.
38(2x+16)−2=13
76x+608-2=13
76x+606=13
76x= -593
x= -7.8
How to get answer:
Step 1: Simplify both sides of the equation.
38(2x+16)−2=13
(38)(2x)+(38)(16)+−2=13(Distribute)
76x+608+−2=13
(76x)+(608+−2)=13(Combine Like Terms)
76x+606=13
76x+606=13
Step 2: Subtract 606 from both sides.
76x+606−606=13−606
76x=−593
Step 3: Divide both sides by 76.
[tex]\frac{76x}{76} = \frac{-593}{76}[/tex]
Answer:
Decimal Form: −7.80263157…
Fraction Form: [tex]\frac{-593}{76}[/tex]
Mixed Number Form: [tex]-7\frac{61}{76}[/tex]
You lose two points every time you forget to write your name on a test. You have forgotten to write your name for transfer what Integer represents your change in plans for forgetting to write your name?
A dartboard has 8 sections of equal area. The letters represent colors red (R), yellow (Y), blue (B), and green (G). Complete the probability distribution for a dart that hits the board at a random location.
Red: 1/8
Yellow:?
Green: 3/8
Blue: 1/8
Answer:
3/8
Step-by-step explanation:
If you add the top number of all the fractions you get 5. You need to get to 8, 8-5=3 so that means yellow has to be 3/8.
Morgan wants a birthday cake with no vertices. What shape cake should she buy
The answer to your question is,
a round cake. :)))))
Answer:
Cylinder
Step-by-step explanation:
I need help right away pleasssseeeeeee
5 1/2 + 12 (1 1/4)
= 5 1/2 + 12 (5/4)
= 5 1/2 + 53/4
= 11/2 + 53/4
= 22/4 + 53/4
= 75/4
= 18 3/4
Answer: 18 3/4 inches
Hoped this helped
−3 3/4 ÷ 3 = ?
This is quite easy, I forgot my calculator though, and I mostly rely on that.
Answer:
-1 1/4
Step-by-step explanation:
Do it in pieces. Everything is divisible by 3, so you can do it in your head.
... (-3 3/4)/3 = (-3/3) -(3/4)*(1/3) . . . . . an integer part divisible by 3, and a fraction divisible by 3
... = -1 -(3*1)/(3*4) . . . . factors of 3 cancel
... = -1 -1/4
... = -1 1/4
_____
Hopefully, it's no mystery that 3 quarters divided by 3 is 1 quarter, just as (3 whatever) divided by 3 is (1 whatever).
_____
It really does help to play with blocks, Legos, chips, coins, rocks, or counters of any kind. Arrange them, deal them into piles, put them is rectangles or triangles (and be aware of how many you use). It also helps to cook from recipes that require use of fractional measures. The cups and spoons give you a sense of what size fractions are larger/smaller, and how they are related. Appropriate play with counting and arranging and measuring can help you develop your number sense, and help you learn to do problems like this in your head.
what is the ratio of 6 apples and 2 oranges in simplest form?
Answer:
apples to oranges: 6:2, or 3:1.
Step-by-step explanation:
Solve the inequality-2(6+s)_>-15-2s
Answer:
s can take any real value.
Step-by-step explanation:
Given that
-2(6+s)_>-15-2s
Distribute -2 over 6+s
-12-2s >= -15-2s
Simplify both the sides
Add 2s to both the sides.
We get 2s cancel out and -12>=-15 which is true.
Hence the given inequality is valid for all values of s.
This is a special case of inequality which has infinite number of solutions.
s can take any real number and this inequality is valid.
Answer:
Solution of inequality: -12 ≥ -15 Which is true.
Step-by-step explanation:
Given data:
Equation:-2(6+s)_>-15-2s
-2(6+s)_>-15-2s
=-12 - 2s ≥ - 15 -2s
By dividing -2s on both sides:
= -12 - 2s/-2s ≥ - 15 -2s/-2s
= -12 ≥ -15
-2(6+s)_>-15-2s = -12 ≥ -15
Suppose three people ate a meal in a restaurant. The cost of each of their meals is m. One person intends to tip 10%, the second person intends to tip 15%, and the third person intends to tip 20%. Which expression represents the total amount that they'll pay?
A. 1.1m + 1.15m + 1.2m
B. 0.1m + 0.15m + 0.2m
C. 1.1m + 2.15m + 3.2m
D. 1 + 0.1m + 1 + 0.15m + 1 + 0.2m
For this case we have:
m represents the total cost of each meal. If people do not pay a tip, the total cost to pay would be:
[tex]m + m + m = 3m\\[/tex]
Person 1:
Without tip the cost of your meal is m.
You want to pay 10% tip
m -------------------> 100%
x --------------------> 10%
[tex]x =\frac{(10)(m)}{100} = 0.1m\\[/tex]
Thus, its cost will be:
[tex]C1 = m + 0.1m = 1.1m\\[/tex]
Person 2:
Without tip the cost of your meal is m.
m -------------------> 100%
x --------------------> 15%
[tex]x =\frac{(15)(m)}{100} = 0.15m\\[/tex]
Thus, its cost will be:
[tex]C2 = m + 0.15m = 1.15m\\[/tex]
Person 3:
Without tip the cost of your meal is m.
m -------------------> 100%
x --------------------> 20%
[tex]x =\frac{(20)(m)}{100} = 0.20m\\[/tex]
Thus, its cost will be:
[tex]C3 = m + 0.20m = 1.20m\\[/tex]
Thus, the total cost to pay will be:
[tex]C = 1.1m + 1.15m + 1.20m\\[/tex]
Answer:
[tex]C = 1.1m + 1.15m + 1.20m[/tex]
what is the answer to n-2 = 10n+4/2
n = -4/9 hope this helps
n-2=10n+4/2
We move all terms to the left:
n-2-(10n+4/2)=0
We add all the numbers together, and all the variables
n-(10n+2)-2=0
We get rid of parentheses
n-10n-2-2=0
We add all the numbers together, and all the variables
-9n-4=0
We move all terms containing n to the left, all other terms to the right
-9n=4
n=4/-9
n=-4/9
Find the midpoint. Please and thanks.
The formula of a midpoint:
[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]
We have:
[tex]M(-6,\ 8)\to x_M=-6,\ y_M=8\\A(-2,\ 10)\to x_A=-2,\ y_A=10[/tex]
Substitute:
[tex]\dfrac{-2+x_B}{2}=-6\qquad|\cdot2\\\\-2+x_B=-12\qquad|+2\\\\x_B=-10\\\\\dfrac{10+y_B}{2}=8\qquad|\cdot2\\\\10+y_B=16\qquad|-10\\\\y_B=6[/tex]
Answer: B. (-10, 6)If the area of a park is exactly halfway between 2.4 and 2.5 acres, what is the area of the park
The area of the park is 2.45 acres.
The area of a park is determined to be exactly halfway between 2.4 acres and 2.5 acres. To find this midpoint or average, we add the two values together and then divide by 2.
First, we add 2.4 acres and 2.5 acres:
2.4 acres + 2.5 acres = 4.9 acres
Now, we divide this sum by 2 to find the midpoint:
Midpoint = 4.9 acres / 2 = 2.45 acres
Therefore, the area of the park is 2.45 acres. This means that it is precisely halfway between the two given values.
Understanding the midpoint or average is essential in various contexts, such as real estate, land measurement, and statistical analysis. In this case, it signifies that the park occupies an area that is equidistant from 2.4 acres and 2.5 acres. It can be seen as a balanced point between these two values, serving as a useful concept for situations where precision or fairness is required, such as in property assessments or distributing resources evenly.
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May you please help me with this question
The angle of cba is 3.408* if you wanna know
cba is 3.408 and just ask if you want to know how
Jake makes and sells pies. He sells each pie for $5.75. The materials to make each pie costs Jake $4.00. The boxes Jakes put the pies in cost $0.75 each. Jake wants to know how many pies (p) he needs to sell to earn a profit of at least $50. Which inequality should Jake use?
A) 50 ≤ 5.75p - 4.75p
B) 50 ≥ 5.75p - 4.75p
C) 50 ≤ 5.75p - 3.25p
D) p ≤ 5.75(50) - 4.75p
how to get better in math? ;(
Study, study, study!
Ask your teacher for help and if he/she is the type of teacher who's lazy get a tutor it's better to have someone explain it to you to understand better then only knowing half of it. ((:
ANSWER MY QUESTION OR ILL SEND BALDI AFTER YOU!!
1. Which numbers are all divisible by 5?
A. 124, 333, 315, 266, 391
B. 135, 205, 330, 275, 365
C. 135, 211, 330, 274, 252
D. 232, 250, 365, 225, 210
2. Which digit(s) makes 3,71[_] divisible by 3?
A. 3 only
B. 7 only
C. 1 only
D. 1, 4 and 7.
3. List all the factors of the number 30.
A. 1, 2, 3, 5, 6, 10, 15, 30
B. 2, 3, 4, 10, 20, 30 40
C. 1, 2, 4, 5, 10, 15, 30
D. 1, 2, 4, 5, 8, 10, 20, 40
4. Which number is composite?
A. 41
B. 81
C. 31
D. 47
5. Find the prime factorization of the number 3,240.
A. 2 x 3 4th power x 5 4th power
B. 2 3rd power x 3 4th power x 10
C. 2 3rd power x 3 4th power x 5
D. 2 3rd power x 3 5th power x 5
6. FIND THE GCF OF THE NUMBERS. (GREATEST COMMON FACTOR)
140, 180
A. 20
B. 90
C. 30
D. 10
7. FIND THE GCF OF THE NUMBERS.
24, 66
A. 90
B. 264
C. 6
D. 12
8. 20k + 50 show work please. --Baldi
9. 10h + 6 - 5h + 3 show work please. --Baldi
Your answers are:
bdabcacFactor out 10 from the expression so you end up wtth 10(2k + 5)10h + 6 - 5h + 3 --> 10h - 5h = 5h ~ 6 + 3 = 9 --> 5h + 9Answer:
im going to have to go with the person who put the first answer
Step-by-step explanation:
Galera preciso resolver essa questão é não sei como resolvê-la me ajudem por favor
Calculate f(3) by replacing X with 3:
f(x) = x^2 -1
f(3) = 3^2 -1
F(3) = 9-1
f(3) = 8
Now calculate f(-4) by replacing x with -4:
f(x) = x^2 -1
f(-4) = (-4)^2 - 1
f(-4) = 16 -1
f(-4) = 15
Now add f(3) to f(-4)
8 + 15 = 23
The answer is a) 23
-15+22=m- 8 thanks for the help
The answer is ( m=15 )
4n-6m=-2 when n=-2,0,2
For m it’s 1,1/3and -5/3 you will get different values when plug the different values of n
15 divided into 6396 show the steps on how to solve I know the answer is 42 just don’t know the step to put in order
6396÷15=426.4
15 will go into 63 4 times with 3 left
bring down the 9 now you have 39 and 15 will go into it 2 times with 9 left
bring down the 6 you have 96 and 15 will go into that 6 times with 6 left
put you decimal after the 6 and bring down a 0
60 ÷ 15 =4
0 remainder
By selling old CDs, Sarah has a store credit for $153. A new CD coat $18. What are the possible numbers of new CDs Sarah can buy? (Inequalities)
We can find the maximum number of CDs she can buy by dividing 153 by 18. The answer ends up being 8.5. Since she can't buy 0.5 of a CD, she can buy a maximum of 8 CDs. Written as an inequality, I think it should be x is less than or equal to 8. I hope this helps!
Toya can run one lap of the track on 1 minute 3 seconds, which is 90% of her younger sister niki’s time. What is niki’s time for one lap of the track?
63 seconds is 90% of Niki's time for one lap. So, Niki's time for one lap is 63/0.9, which equals 70 seconds or 1 min. 10 seconds.
the equation y+6=1/3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?
A. y= 1/3x-3
B. y=1/3x+9
C.y=1/3x-9
D. y=1/3x+3
y+6=1/3(x-9)
Moved all terms from left to right that doesn't contain y
Y=-6 +1/3x-3
Simplify
Y=1/3x-9
Your answer is c.
Answer: [tex]y=\dfrac{1}{3}x-9[/tex]
Step-by-step explanation:
The equation of a line in slope -intercept form is written as :-
[tex]y=mx+c[/tex]
The given equation : [tex]y+6=\dfrac{1}{3}(x-9)[/tex]
To write the given equation in slope - intercept form , we need to first solve the right -hand sides in the equation.
[tex]y+6=\dfrac{1}{3}(x-9)\\\\\Rightarrow\ [tex]y+6=\dfrac{1}{3}x-3\\\\\Rightarrow\ y=\dfrac{1}{3}x-3-6\\\\\Rightarrow\ y=\dfrac{1}{3}x-9[/tex]
Hence, the equation written in slope-intercept form : [tex]y=\dfrac{1}{3}x-9[/tex]