Four swimmers are training for a relay race. Each day they practice by swimming at least 1,600 yards total. The friends evenly divide the number of yards they swim.
Write and solve an inequality to determine how many yards each friend will swim. Show all your work.
Answer:
400
Step-by-step explanation:
I divided 1600 by 4 which got me 400
A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered.
Answer: $6.50 - $6.67
Step-by-step explanation:
20/3 = 6.67
26/4 = 6.5
You can use this answer or try to find the middle of the two numbers.
pleaasee help me is for today! :(
Please do it with the technique of the second photo
Answer:
I hope you can read
Step-by-step explanation:
A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at:
(a) 6 % , (b) 6.1 %, (c) 6.2 %, (d) 6.3 %, (e) 6.4 %
Answer:
Income from $ 4000 at 5 % in one year = $ 4000 of 5 %.
= $ 4000 × 5/100.
= $ 4000 × 0.05.
= $ 200.
Income from $ 3500 at 4 % in one year = $ 3500 of 4 %.
= $ 3500 × 4/100.
= $ 3500 × 0.04.
= $ 140.
Total income from 4000 at 5 % and 3500 at 4 % = $ 200 + $ 140 = $ 340.
Remaining income amount in order to have a yearly income of $ 500 = $ 500 - $ 340.
= $ 160.
Total invested amount = $ 4000 + $ 3500 = $7500.
Remaining invest amount = $ 10000 - $ 7500 = $ 2500.
We know that, Interest = Principal × Rate × Time
Interest = $ 160,
Principal = $ 2500,
Rate = r [we need to find the value of r],
Time = 1 year.
160 = 2500 × r × 1.
160 = 2500r
160/2500 = 2500r/2500 [divide both sides by 2500]
0.064 = r
r = 0.064
Change it to a percent by moving the decimal to the right two places r = 6.4 %
Therefore, he invested the remaining amount $ 2500 at 6.4 % in order to get $ 500 income every year.
Answer: (e)
I know that this is hard to understand but if you need help let me know
Have a great day
............................................. (i had to do that bec it needed to be 20 characters)
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
If Leo is 6 years old and Max is 12 years older, in how many years wil Max be 3 times older than Leo?
Answer:
in 36 years
Step-by-step explanation:
in 36 years, Max will be 54 YEARS OLD and Leo will be 18 YEARS OLD.
54÷18= 3
this means that when max is 54, he will be 3 times older than leo
it can also be when Leo is 6 and Max is 18 because:
18÷6=3 means max is already 3 times older than leo
Name Five countries through which the Equator passes
Answer:
Ecuador, Colombia, Brazil, Sao Tome & Principe,
Step-by-step explanation:
Answer:
Ecuador, Colombia, Brazil, Sao Tome & Principe
Step-by-step explanation:
please help me i will give brainliest to first person to anwser.
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
PLEASE HELP ME ON THIS ASAP
Answer:0.054 becuase 0.45x 0.12.=0.054
Ava is buying 30 baseball caps and pays a total of $240. Each cap costs the same amount. Determine whether the situation below represents a direct proportion, and justify your reasoning. If so, find the constant of proportionality.
Pls find the answer winter break is almost ending
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The answer is 8 so its a direct proportion
I think...
The constant of Proportionality is 8.
What is constant of Proportionality?If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.
Given:
Total Baseball Caps= 30
Total amount of Cap= $240
let the number of caps sold be c.
Then, the equation is
30 c= 240
and, c= 240/30
c= 8
Hence, the constant of Proportionality is 8.
Learn more about constant of Proportionality here:
https://brainly.com/question/29126727
#SPJ2
I'll give 30 pints!!!!
Chloe is 5 feet 4 inches tall. There are 2.54 centimeters in 1 inch. What is Chloe's height in centimeters.
Pls give a good explanation bc I have a test over proportion tomorrow.
Thanks!
Options:
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11111
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
If Emma’s birthday is on November 11 2009 how old is she now
( this year and date)
Answer: Emma is 13
Step-by-step explanation:
meaning it is dec 13 so she just turned 13
Answer:
13 years old
hope this helps!
I need help, please help me!!
Answer: exactly
Step-by-step explanation:
what is the value of b?
Answer:
61
Step-by-step explanation
The sum of the 3 angles of a triangle is equal to 180.
180-58-61=61
Calvin digs a hole at a steady rate of 1(1)/(3) feet every hour.
Consider ground level to be 0 .
What value represents the elevation of the hole relative to ground level after digging for 2(1)/(2) hours?
Enter your answer as a simplified mixed number in the box.
Answer:
3 1/3 feet
Step-by-step explanation:
Ok so, he digs 1 1/3 feet every hour. And we're trying to find out how much he digs in 2.5 hours. We can simply multiply 1 1/3*2.5 giving us 3 1/3 feet.
Hope this helps :)
HELP IM STUCK
Directions: Answer all of the questions below, making sure to show your work. You may attach the work separately. Round to the nearest whole percent when necessary.
1. You really want to buy a new iPhone with money you received for Christmas. Last month the iPhone was priced at $999, and this month it is on sale for $699. What is the markdown between the two prices? What is the percent markdown?
2. Santa estimated that he needed to deliver 8,459 presents on Christmas night. After counting, the elves realized that Santa actually had to deliver 9,870 presents. Find the percent error.
3. In 2018, U.S. households spent an average of $1,536 during the Christmas holidays. In 2019, the average amount spent was $1,496. What is the percent change between spending in 2018 and 2019?
4. Looking at the lights on a Christmas Tree, Holly guessed that there were 228 lights on the tree. She found out later that there were actually 240 lights on the tree. Find the percent error.
5. On Christmas Day, the weatherman predicted that there would be 14 inches of snow. It ended up snowing only 9 inches on Christmas Day. What is the percent error?
6. Noel wanted to buy the video game Halo Infinite with a gift card he received for Christmas. Two months ago the price of the game was $49.99 and now the game is $65.99. What is the markup between the two prices? What is the percent markup?
7. The amount of carolers in the neighborhood Christmas caroling group was 20 last year. This year there were 28 people. What is the percent change between last year and this year?
8. You decide to buy your dad a new fishing rod for Christmas. The price of the rod was $59 with 8% sales tax. What was the amount of sales tax on the purchase? What was the total cost including sales tax?
9. Your mom wanted a new tart warmer for Christmas. You decide to buy her one from Scentsy for $20. The person who sold you the tart warmer makes 2.5% commission off your purchase. How much commission did they earn?
10. Part A: Out of Santa’s elves in his workshop, 80% finished making their toys early. If 24 elves finished working early, how many elves were in the workshop in all?
Part B: If 9 elves quit this year, what is the percent decrease in Santa’s elves?
Answer:
hello who is your day i hope it be a owsome day bye
Adam can eat 3/8 of a pizza in 1/16 of a minute complete the unit rate by setting up a complex fraction and simplifying Answers A) 1 pizza per minute B) 3 Pizza per minute C) 6 Pizza per minute D) 9 Pizza per minute Answer correctly and i will give away a giftcard
PLS HELLPPPPPP THXXXXX
Answer:
You haven't added a problem
Step-by-step explanation:
Answer:
with what? u legit have nothing on here
There are 20 children at a library. Six of the children have an average age of 5 years. The remaining children have an average age of 8 years. What is the average age of the children at the library?
Answer:
7.1
Step-by-step explanation:
6 children with an average age of 5 = 6*5 = 30 so the sum of their ages is 30
20 - 6 = 14
14 children have an average age of 8 14*8 =112 so the sum of their ages is 112
Add the two sums
30+112 = 142
Divide by the total number of children
142/20 =7.1
The average age of all the 20 children is 7.1
Answer: 7.1
Step-by-step explanation:
Simplify negative 3 over 4 divided by 2 over negative 8.
Answer:
-3/4 ÷ -2/8 = 3
the answer is 3
Answer:
3
Step-by-step explanation:
3/4 / 2/8
Keep change flip
3/4 x 8/2
Multiply the numerators and denominators
24/8
Simplify
24/8=3
Pls help
Solve for x in the diagram below.
Step-by-step explanation:
(2x + 45)° and x° are supplmentary angles.
(Sum of angles on a straight line = 180°)
Hence 2x + 45 + x = 180, 3x = 135, x = 45.
Please help and you get a cake
Answer:
Mean = 33.7
Median = 34.5
Mode = 34
Range = 33
After adding 26....
mean decreases by 0.7
median decreases by 0.5
mode is 34
range is 33
Step-by-step explanation:
mean = sum of all the data values/number of data values
= (18 + 19 + 20 + 34 + 34 + 35 + 37 + 42 + 47 + 51)/10
= 337/10
= 33.7
To find median arrange the values in increasing order, find the mid value
If the number of data points is even, find the average of the mid 2 data values
Arranging data values we get:
18, 19, 20, 34, 34, 35, 37, 42, 47, 51
Since there are 10 data values, take the average of the middle two:
(34 + 35)/2 = 34.5
The mode is the value that occurs most often. We see that there are two instances of 34 whereas the other values appear only once
Mode = 34
The range is highest - lowest = 51 - 18 = 33
After we add 26, we get the following data set arranged
18, 19, 20, 26, 34, 34, 35, 37, 42, 47, 51
we can calculate the stats using the same technique as above
We get the following values
mean = )(18 + 19 + 20 + 26 + 34 + 34 + 35 + 37 + 42 + 47 + 51)/11
= 33
median = 34
mode = 34
range = 51-18 = 33
To find the decrease in mean and median subtract from the first set of values
Taylor pays $5.25 for 0.5 yards of fabric. What is the cost per yard?
Answer:
$10.5 for a yard of fabric
Step-by-step explanation:
$5.25 ÷ 0.5 = $10.5
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)
‼️WILL GIVE 30 POINTS‼️
‼️‼️WILL MARK BRAINLIEST, IF HELPFUL‼️‼️
Answer:
Area of original figure = area of parallelogram
= 7 yd • 4 yd
= 28 yd^2
3 feet = 1 yard, so 9 ft^2 = 1 yd^2
28 yd^2 (9 ft^2/1 yd^2) = 252 ft^2
2.19=2.14b^x
what do b and x equal
i think b equals 5 if that helps
Find the original price given the total amount and the tip rate. Total amount: $38.35 Tip: 18%
Answer:
The original price is 45.25$
$38.35 + 18% = 45.25$
Can someone help? I can't seem to figure out exactly what to do for the proportions?
Answer:
84 foot
Step-by-step explanation:
49 / 3.5 = 14
14 * 6 = 84 foot
Answer: 84 foot
Step-by-step explanation:
3.5 / 49 = 14
6 * 14 = 84 foot