A jar is filled with quarters and nickels in the ratio 1 2/5 to 2 1/3. If there are 24 quarters in the jar, what is the ratio in dollar value of quarters to that of the nickels???
Answer:
3 : 1
Step-by-step explanation:
The ratio of coins is ...
1 2/5 : 2 1/3 = 7/5 : 7/3 = 3 : 5
The quarters have 5 times the dollar value of nickels, so the ratio of dollar values is ...
5(3) : 5 = 3 : 1
The quarters have 3 times the dollar value of the nickels.
__
Additional comment
The number of nickels is 5/3 times the number of quarters, so is 5/3(24) = 40.
The dollar value of the quarters is 24($0.25) = $6.
The dollar value of the nickels is 40($0.05) = $2.
As above, the ratio of dollar values is 6:2 = 3 : 1.
__
There are a few different ways to compute the ratio of fractions. The one we used here may be a little unusual. All are equivalent.
[tex]\bullet\quad\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\times\dfrac{d}{c}\qquad\text{"invert and multiply"}\\\\\bullet\quad\dfrac{a}{b}\div\dfrac{c}{b}=\dfrac{a}{c}\qquad\text{ratio of numerators with the same denominator}\\\\\bullet\quad\dfrac{a}{b}\div\dfrac{a}{c}=\dfrac{c}{b}\qquad\text{inverse ratio of denominators with the same numerator}[/tex]
Identify the pattern rule for this sequence: 1, 4, 2, 8, 6, 24, 22…
Answer:
Times four then Minus 2
Step-by-step explanation:
1 times 4 is 4 then minus 2 is 2
Hmm, What is the answer?
PLEASE HELP ME!!!
Answer:
y = kx.
Step-by-step explanation:
A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.
Answer:k=yx
Step-by-step explanation:
Help plz:
10. Remove the parentheses by multiplication:
a. 6(2a - 4) =
b. x(2x + 10) =
c. 5(9x - 9) =
d. 3x(2x - x) =
Answer:
A = 12a - 24
B = 2x² + 10x
C = 45x - 45
D = 6x² - 3x²
Step-by-step explanation:
You can solve all of these by distributing the first number/variable into the parenthesis. Just multiply the number outside the parenthesis by each of the terms inside the parenthesis.
Please plot this linear equation on a graph, and also explain how to plot it.
[tex]y=3x-7[/tex]
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day.
We can solve this equation in a single step, we just need a bit of theory and a graph.
We can first see that its in [tex]y=mx+b[/tex] form. Which is also known as Slope-Intercept form.
This means that we know the following.
[tex]b[/tex] is the y coordinate of the y intercept.[tex]m[/tex] is the slope of the line.Since we know that, we can see that from our equation that the slope of the line is 3 and the y intercept is (0,-7).
Now that we've gotten that, we can start graphing.
The y intercept is -7 so we can plot (0,-7) as one of our points.
The slope of 3 means that we got up 3 units then right a single unit.
Therefore, another point could be (1,-4).
With our two points, we can create our graph by creating a straight line through those two points and therefore plotting our line.
Cheers!
Answer:
Step-by-step explanation:
y = 3x - 7 is a linear equation with y-intercept -7 (or (0, -7) ) and slope 3. These two quantities are instantly readable from the equation.
There are several ways in which we may graph this equation. One is to plot the y-intercept (0, -7) Then choose an x-value, such as 3, and evaluate the function at that x value. We see that y = 9 - 7, or y = 2, when x = 3. Then another point on the graph besides (0, -7) is (3, 2). Plot (3, 2) and then draw a line through the two plotted points.
Here's another way:
The slope here is 3, or 3/1, which represents rise / run. Plot (0, -7) as before.
Move your pencil from (0, -7) 1 space to the right and 7 spaces up. Then plot a new point at that location. Draw a line through (0, -7) and (1, 0).
Which term best describes the relationship between the two events described below?
When a bowler gets 12 consecutive strikes in a game, he bowls a perfect game.
A. causation
B. The events are not related.
C. correlation
D. implication
Answer:
Correlation
Step-by-step explanation:
I think
The relationship between the two events is one of implication (Option D.), where achieving 12 consecutive strikes implies the occurrence of a perfect game, but it does not necessarily indicate a causal or universally correlated relationship.
The term that best describes the relationship between the two events described is implication.
In this context, the statement implies that when a bowler achieves 12 consecutive strikes in a game, it is an indication or implication that the bowler has bowled a perfect game. This means that if the first event (getting 12 consecutive strikes) occurs, it logically leads or implies the occurrence of the second event (bowling a perfect game). However, it does not necessarily mean that every perfect game is achieved through 12 consecutive strikes, as there can be alternate ways to achieve a perfect game.
Therefore, the relationship between the two events is one of implication, where the occurrence of the first event suggests or implies the occurrence of the second event, but they are not always causally linked or universally correlated.
To know more about events, refer here:
https://brainly.com/question/10999000
#SPJ2
The Mongolian Giant Sunflower produces seeds that are over 1 inch long, grow up to 18 feet tall, and flowers that are 1 ½ feet wide. Each flower head produces 1,000 seeds. You decide to harvest the seeds at the end of the season so that you can sell them the following spring. If you save 8 flowers for harvesting, how many seeds is that? Write your answer in scientific notation.
Answer:
8*10^3
Step-by-step explanation:
The Mongolian Giant Sunflower produces seeds that are over 1 inch long, grow up to 18 feet tall, and flowers that are 1 ½ feet wide. - All of this information is useless, all the question is asking is how many seeds do 8 flowers produce.
Each flower head produces 1,000 seeds. If you save 8 flowers for harvesting, how many seeds is that? - 1000*8 = 8000. 8000 is scientific notation is 8*10^3, as 10^3=1000, and 1000*8=8000 seeds.
Chris went to the store to buy some sports equipment. His mother had given him $30.00 to spend, and Chris took some of his own money along. He bought shin guards for $15.00, 2 pair of soccer socks for $7.99 each and a mini-soccer ball for $9.99. How much of his own money did he need to use?
Answer:
10.97
Step-by-step explanation:
Add 15, 7.99, 7.99, and 9.99. Then subtract 30 witch = 10.97
PLS HELP ME I NEED THIS URGENT!!!!
One mom has 3 children, and each child attends a different level of school. If the mom plans to pick her children up, what would be her total distance traveled if she starts at the high school, then goes to the elementary school, and finally the middle school? (Write your answer as a decimal rounded to the nearest tenths place). *
-10+16 divided by (-2)+7
*Please show work!*
Answer:
= 1 1/5
Step-by-step explanation:
= -10+16/(-2)+7
= 6/5
= 1 1/5
3. Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. HINT: Use the addition property of equality and multiplication property of equality in your answers. (8 points: 1 point for each question)
5x + 2y = 7
3x – y = 2
To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations. (1 point)
Why is this multiplication allowed? (1 point)
What variable will be eliminated when the equations are combined after
the multiplication? (1 point)
Next, add the equations together. Your answer should be a single equation with one variable. (1 point)
Why can you add the equations? (1 point)
Solve the equation for x. (1 point)
Substitute x back into one of the equations to solve for y. (1 point)
What is the solution to the system of equations? (1 point)
Answer:
Step-by-step explanation:
To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations. (1 point)
5x + 2y = 7
6x –2y = 4
Why is this multiplication allowed? (1 point)
Because the entire equation was multiplied by the same number, the equation remains the same.
What variable will be eliminated when the equations are combined after the multiplication? (1 point)
The Y variable
Next, add the equations together. Your answer should be a single equation with one variable. (1 point)
11x = 11
Solve the equation for x. (1 point)
X = 1
What is the solution to the system of equations? (1 point)
X = 1 and Y = 1 so the answer is (1, 1)
(If you solve this again, but eliminate the X variable, you will still receive that answer 1, so Y = 1)
Sorry my first answer was wrong
PLS ANSWER, ALL THE QUESTIONS IN THE PICTURE. ITS DUE SOON PLS HELP, SHOW WHO U SET UP EACH PROBLEM .
Answer:
3. It's b and c 4. total number of participants in marathon=99+121=220 percentage of female = 121/220×100 =55% 5. the answer is 7
Step-by-step explanation:
Sergio claims that StartFraction 20 Over 20 EndFraction = 1 percent. Which statement is true regarding his claim?
Answer: You dont give the statement. But 20/20 is 100% if that helps!
Step-by-step explanation:
help pleases
Evaluate the expression when b=8
3b²
here is your answer
3(8)²
3*64
192.......
Does the following relationship represent a function?
Answer:
Yes. It represents a function. The x and y inputs represent functions, so it is indeed a function.
Step-by-step explanation:
What is the range of possible sizes for side x
Answer:
0.8 < x < 16.8
Answer:
i think that the size for side x is 8.2
Step-by-step explanation:
hope this helps!
Simplify
10(–6x+–10)+–10x
Answer:
-70x - 100
Step-by-step explanation:
After you apply distributive property: -60x+-100+-10x
Combine like terms: -70x - 100
Hope it helped!
Answer: -70x-100
Step-by-step explanation:
10(–6x+–10)+–10x
-60x+-100+-10x
Abby is painting two cubes for an art project.
Cube 1: side length = 3 feet
Cube 2: side length = 2 feet
The surface area of a cube is 6s2, where s is the length of one side.
Find the total surface area that Abby will paint.
1. Find the surface area of cube 1. Show your work, and include units with your answer.
2. Find the surface area of cube 2. Show your work, and include units with your answer.
3. What is the total area Abby will paint?
Answer:
54 sq ft, 24 sq ft, 78 sq ft
Step-by-step explanation:
1. Each side of cube 1 is 3 feet x 3 feet, so each side has an area of 9 square feet. Multiply by 6 sides and the area is 54 square feet.
2. Each side is 2 feet x 2 feet so the area of one side is 4 square feet. Multiply by 6 sides and the area is 24 square feet.
3. 54 + 24 = 78 square feet
plzz help me this is my last chance
Answer:
C. This is the answer because it doesn't have to be answered.
Answer:
B
Step-by-step explanation:
B is a question that doesn't need an answer, but is used to make the reader think.
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week (1 point) No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
A
Step-by-step explanation:
4c + 6a < = 120 ...4(20) + 6(6) = 116 <== correct
4c + 4a < = 100....4(20) + 4(6) = 104 <== incorrect
can someone help me thank you
Answer:
Thrid one down
Step-by-step explanation:
It turns the other way.
Answer:
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
If using SAS to determine if a triangle is unique, you must know:
Answer:
It is important to note that SAS construction will always produce one, unique triangle. It does not matter how much you flip, rotate or move the ...
Step-by-step explanation:
i will give brainly if you’re right and if you explain
[tex]area \: of \: circle = \pi \times {r}^{2} \\ area \: of \: circle = 9\pi \times ft {}^{2} \\ 9\pi \times ft {}^{2} = \pi \times {r}^{2} \\ = r = \sqrt{\ 9 pi \times \: ft {}^{2} } \\ r = 3ft[/tex]
Sally has 243.75 pieces of candy. John has 27.4 pieces of candy. How many pieces of candy do they have in all? John thinks altogether there are 217.15 pieces of candy. Is he correct? Explain your thinking.
Answer:
Yes, John is correct.
Step-by-step explanation:
To find the total amount of candy you must add the amounts Sally and John have. Sally has 243.75 and John has 27.4. When you add those two together you can 217.5 which is what John thinks therefore he is correct.
PLEASE HELP IMMEDIATELY!! ITS WITH ORDER OF OPERATIONS AND PEMDAS!!
Answer:
Answer for question 1: 52
Answer for Question 2: 68
Answer for question 3: 40
Answer for Question 4: 25
Step-by-step explanation:
1: [tex](4 + 3)^2[/tex] = [tex]7^2[/tex] = 49 (12 ÷ 4) = 3
3 + 49 = 52
2: [tex](12 * 9- 7^2) + 9[/tex] = 12 * 9 = 108 - 49 = 59 + 9 = 68
3: 28 ÷ 7 = 4 + [tex]6^2[/tex] = 40
4: [tex](2 * 7 + 4^2) - 5[/tex] = 2 * 7 = 14 + 16 = 30 - 5 = 25
Hope this helps!
The weight of Kyle's dog increased from 29.7 pounds to 48.9 pounds in an 8 month period. What was the average weight increase per month?
Answer:
per month means we divide by the months
here is our formula
we do 48.9-29.7 to see the increase, and divide by the months to see how much per month
(48.9-29.7)/8
We get 2.4, meaning the average weight increase per month is 2.4
Step-by-step explanation:
Help :
6. Solve the following equations:
a. x + 8 = 28
b. y - 4 = 30
c. s + 2s = 36
d. t - t + 4t = 16
e. 5a = 15
f. 8x - x = 21
A) x + 8 = 28
x = 28 - 8
x = 20
B) y - 4 = 30
y = 30 + 4
y = 34
C) s + 2s = 36
3s = 36
s = 12
D) t - t + 4t = 16
4t = 16
t = 4
E) 5a = 15
a = 3
F) 8x - x = 21
7x = 21
x = 3
[tex] \\ [/tex]
KemberlyJThis one i number 7…..
Answer:
i dont know if im right but i think that its C
Step-by-step explanation:
Mr. DaCosta and his workers are tiling a bathroom wall using square-inch tiles. The area of the wall is 6,048 square inches. There are 72 rows of tiles.
How many tiles are in each row?
A.
85
B.
84
C.
840
D.
805
Answer: B.84
Step-by-step explanation:
1) Substitute the given information into the equation Area= length * width
2) 6,048 = 72 * x
3) Divide by 72 to find x
6,048/72 = 84
4) The answer is 84 tiles in each row