Answer:
2880 cans.
Step-by-step explanation:
Currently, he already collected 1,100 pounds of newspaper.
Each pound is equal to one penny or 0.01 dollars.
1100 * 0.01 = $11 dollars.
$20 - $11 = $9.
He needs $9 dollars.
$9 / 0.05 (Nickel value) = He needs 180 Nickels / Pounds of Aluminum.
180 pounds = 2880 oz (180 * 16)
He needs 2880 cans.
Rob needs to collect 180 pounds of aluminum cans. This corresponds to approximately 2,880 aluminum cans, considering each can weighs approximately 1 ounce.
Rob figure out how many aluminum cans he needs to collect to earn $20 for his club. The recycler pays different rates for newspaper and aluminum, so we'll use some mathematical concepts like Equations and conversion to find the answer.
To determine how many aluminum cans Rob needs to collect, we'll follow these steps:
Step 1: Calculate earnings from newspapers
First, we need to find out how much money Rob will make from the 1,100 pounds of newspaper he collected. The recycler pays one penny per pound for newspaper. So, the earnings from newspapers can be calculated using the formula:
[tex]\[ \text{Earnings}_{\text{newspaper}} = \text{Rate}_{\text{newspaper}} \times \text{Weight}_{\text{newspaper}} \][/tex]
Here, [tex]\(\text{Rate}_{\text{newspaper}}\)[/tex] is the rate per pound for newspaper, which is $0.01 (1 penny), and
[tex]\(\text{Weight}_{\text{newspaper}}\)[/tex] is the weight of newspaper collected, which is 1,100 pounds.
[tex]\[ \text{Earnings}_{\text{newspaper}}[/tex] = [tex]\$0.01 \times 1,100 ][/tex]
Step 2: Calculate earnings from aluminum cans
Next, we'll find out how much money Rob will make from collecting aluminum cans. The recycler pays five cents per pound for aluminum, which is equivalent to $0.05. However, the weight of the aluminum cans is given in ounces, so we'll need to convert it to pounds.
Since 1 pound is equal to 16 ounces, we can use the conversion factor:
[tex]\[ 1 \text{ pound} = 16 \text{ ounces} \][/tex]
To convert the weight of aluminum cans from pounds to ounces, we use the formula:
[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\text{Weight}_{\text{aluminum}} (\text{ounces})}{16} \][/tex]
We know that Rob wants to earn $20, and we already calculated the earnings from newspapers. So, we can find the earnings from aluminum cans using the formula:
[tex]\[ \text{Earnings}_{\text{aluminum}} = \$20 - \text{Earnings}_{\text{newspaper}} \][/tex]
Now, we can find the weight of aluminum cans in pounds:
[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\text{Earnings}_{\text{aluminum}}}{\text{Rate}_{\text{aluminum}}} \][/tex]
where [tex]\(\text{Rate}_{\text{aluminum}}\)[/tex] is the rate per pound for aluminum, which is $0.05.
[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\$20 - \text{Earnings}_{\text{newspaper}}}{\$0.05} \][/tex]
Step 3: Convert weight to number of cans
Since each aluminum can weighs approximately 1 ounce, we can find the number of cans Rob needs to collect by converting the weight from pounds to ounces:
[tex]\[ \text{Number of cans} = \text{Weight}_{\text{aluminum}} (\text{pounds}) \times 16 \][/tex]
Substitute the expression for[tex]\(\text{Weight}_{\text{aluminum}} (\text{pounds})\)[/tex] from Step 2:
[tex]\[ \text{Number of cans} = \left( \frac{\$20 - \text{Earnings}_{\text{newspaper}}}{\$0.05} \right) \times 16 \][/tex]
Now, let's calculate the number of aluminum cans Rob needs to collect to earn $20 for his club!
First, we'll calculate the earnings from newspapers:
[tex]\[ \text{Earnings}_{\text{newspaper}} = \$0.01 \times 1,100 = \$11 \][/tex]
Next, let's find the earnings from aluminum cans:
[tex]\[ \text{Earnings}_{\text{aluminum}} = \$20 - \$11 = \$9 \][/tex]
Now, let's calculate the weight of aluminum cans in pounds:
[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\$9}{\$0.05} = 180 \text{ pounds} \][/tex]
Finally, we'll convert the weight from pounds to ounces:
[tex]\[ \text{Number of cans} = 180 \text{ pounds} \times 16 = 2,880 \text{ cans} \][/tex]
So, Rob needs to collect approximately 2,880 aluminum cans, each weighing approximately 1 ounce, to earn $20 for his club.
Rob collected 1,100 pounds of newspaper, earning $11 from the recycler. To reach his goal of earning $20 for his club, he needs to collect 180 pounds of aluminum cans. This corresponds to approximately 2,880 aluminum cans, considering each can weighs approximately 1 ounce.
To know more about Equation here
https://brainly.com/question/17687461
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17. Nils swam a total of 6.48 km in three days. He swam 0.720 km longer on Day 2 than on Day 1. The distance he swam on Day 3 was 3 times the distance he swam on Day 2. How many kilometers did he swim on Day 3?
Answer:
21.6 km
Step-by-step explanation:
distance swam on day 2: 6.48+0.720 = 7.2 km
distance swam on day 3: 7.2*3 = 21.6 km
Please help!!! I’m not sure how to do this at all. Can someone please help me solve this with an explanation step by step? I’m having so much trouble my brain is literally gonna explode.
Answer:
Step-by-step explanation:
The question asks you to dilate the rectangle by a scale factor of 1/3.
KEY TERM:
Dilate by a scale factor: You make a shape bigger or smaller by multiplying by a number.
Here, we are dilating by a scale factor of 1/3. Therefore, to solve the problem, you have to multiply each coordinate by 1/3. Also, we are making the shape smaller because we are multiplying by a fraction.
___
STEP 1: LINE UP ALL THE COORDINATE PAIRS
Point U: (-6,6)
Point R: (-6,-3)
Point T: (9,6)
Point S: (9,-3)
Now the easy part is done.
STEP 2: MULTIPLY BY 1/3
It is very important you know how to do this part because it determines the answer. So when i say "multiply by 1/3" i mean multiply each individual number by 1/3.
I'll explain for point u then do the rest:
Point U was originally: -6,6.
-6 x 1/3= -6/3= -2.
6x1/3= 6/3= 2
The "dilated" point U is: (-2,2). I multiplied each individual coordinate by 1/3, one by one.
Point R was originally: (-6,-3)
-6x1/3= -2
-3x1/3= -3/3= -1
The "dilated" point R is (-2,-1)
Point T was originally: (9,6)
9x1/3= 3
6x1/3= 2
The "dilated" point T is (3,2).
Point S was originally (9,-3).
9x1/3= 3
-3x1/3= -1
The "dilated' point S is (3,-1)
Finally, if you ever get confused about the order of the coordinates, it just stays the same. Like 9,-3 becomes the dilated 9 , dilated -3.
STEP 3: GRAPH THE NEW POINTS
see the screenshot, for reference :)
Answer:
Step-by-step explanation:
you dilate each coordinate by a scale factor of 1/3 , making the shape smaller.
Help me pleaaseee!!!!!!! I'll give you brainliest if theres another answer on this.
Answer:
Please see attached image
Step-by-step explanation:
Circle the correct option: A, B, C, or D.
5. A box containing 30 identical books has a mass of 8.6 kg. The same box containing 50 of these books has a mass of 13.1 kg. What is the mass of each book?
A 0.225 kg
B 2.25 kg
C 4.5 kg
D 0.025 kg
Answer:
Option AStep-by-step explanation:
So we have: 30 books having a mass of 8.6kg50 books having a mass of 13.1kgSubtract 30 from 50 (50 - 30) = 20Subtract 8.6 From 13.1 (13.1 -8.5) = 4.5To find the mass of each book, we divide the mass by how many books we have left after subtraction.4.5/20 = 0.225 kgHope this helps.Good luck ✅.
help 30 points added
A urn contains 3 red and 5 black balls. Tom first withdraws a ball from the urn and Mary withdraws a ball from the urn without replacement. They keep withdrawing a ball alternately until a red ball is selected. Find the probability that Tom selects the red ball.
a) 3/8
b) 15/64
c) 31/56
d) 48/64
e) 34/56
Answer:
The answer is B
Step-by-step explanation:
I learned this from my math teacher
please help asap!!! theres multiple answers
Answer: 3rd, 4th, and 5th are correct.
Step-by-step explanation:
We know that the equation 6(t+2) can be simplified to 6*t+6*2, also 6t+12. This causes any statements saying a variable with a certain value applies to one side also applies to the other.
Answer:
- The value of both expressions when t = 3 is 30
- The value of both expressions when t = 7 is 54
- The expressions are equivalent
Step-by-step explanation:
Plug in each value of t into the expressions:
6t + 12, when t = 3 equals 30
6t + 12, when t = 7 equals 54
6(t + 2), when t = 3 equals 30
6(t + 2), when t = 7 equals 54
We have the same answers for both expressions, meaning they are equivalent.
3/4x+0.25(x-6)+28.4
I can't figure it out
[tex]\boldsymbol{\dfrac{3}{4}x+0.25(x-6)+28.4 }[/tex]
Use the distributive property to multiply 0.25 by x−6.
[tex]\boldsymbol{\dfrac{3}{4}x+0.25x-1.5+28.4 }[/tex]
combine [tex]\bf{\frac{3}{4}x }[/tex] and 0.25x to get x.
[tex]\boldsymbol{x-1.5+28.4}[/tex]
Add −1.5 and 28.4 to get 26.9.
[tex]\boxed{\boldsymbol{x+26.9}} \ \ \to \ \ \bf{Answer}[/tex]
{ Pisces04 }PLEASE ANSWER THIS: Andrea had $20. She bought 4 paper pads at $1.19 each, 3 notebooks at $1.89 each, and also a book at $4.95. Now she wants to use the remaining money to buy as many 79-cent pens as possible. How many pens could she buy?
Answer:
5 pens
Step-by-step explanation:
Currently she has spent:
4(1.19) + 3(1.89) + 4.95 = 15.38
She has this amount left:
$20 - 15.38 = 4.62
So if she wanted to buy as many pens with the $4.62:
4.62/0.78 = 5.84
But you can't buy .84 of a pen, so she can buy 5 pens
Answer: 5 pens
Step-by-step explanation:
FACTS:
andrea has $20.
She bought:
4 paper pads for $1.19 each
3 notebooks for $1.89 each
1 book for $4.95
Will use the remaining money to buy pens that cost 79 cents ($0.79) each.
How many pens can she buy?
Step 1: Find how much she spent on the paper pads
1.19x4= 4.76
Ans= $4.76
Step 2: Find how much she spent on notebooks
3x1.89=$5.67
Ans= $5.67
Step 3: Find how much she has spent so far.
4.76 + 5.67 +4.95= $15.38
Step 4; Find how much she has left.
20-15.38= 4.62
Step 5: Find the number of pens she can buy.
She has $4.62 to buy pens that cost $0.79 (79 cents) each. how many pens can she buy?
To solve this, divide 4.62÷0.79. the decimal makes no difference in what operation you do.
4.62÷0.79= 5.84810126582 which rounds to 5.8 which rounds to 6.
Step 6: Check
REMEMBER:
pens cost $0.79 each
we're assuming she got 6 pens
in order for 6 to be correct, 6x0.79 MUST equal 4.62 or less because that's how money she had to spend on pens.
0.79x6= 4.74. It's wrong. In this case, it's always the number that comes before it, in this case 5.
Even though 5x0.79= 3.95 which is less than 4.62, it must be correct because it makes so much more sense to have some money left than spend more than what you even have. In questions like this, don't always rely on rounding.
Answer= 5 pens
Christina wants to buy some miniature goldfish. She reads that a 9-gallon aquarium is the
right size for 3 miniature goldfish. The graph represents this relationship.
Which points show equivalent ratios that would also be on the graph? Select all that apply.
A. (6,18)
B. (6,12)
C. (4,10)
D. (1,3)
Answer:
A & D
Step-by-step explanation:
If you can fit 3 fish in a 9 gallon tank, that means as a point on a line, that would be at (3, 9).
If you write this as a fraction it's 3/9. Simplifying that, you get 1/3. That means 1 fish needs 3 gallons. If you make hat a point on the line, it's (1,3).
Another equivalent fraction would be 6/18. If you multiply the numerator and denominator by 2, 3/9 becomes 6/18.
B & C are not equivalent fractions.
Please help will mark brainliest 25 pts.
Answer:
1. r = C/2π
2. A = π(C/2π)^2
Step-by-step explanation:
1. C = 2πr^2
C/2π = 2πr/2π
C/2π = r
r = C/2π
2. A = π(C/2π)^2
3. Look at screenshot
Answer:
C^2 = 4πA
Step-by-step explanation:
The first part asks us to isolate r in the equation C = 2πr. We can do that by dividing both sides by C: [tex]r=\frac{C}{2\pi }[/tex]. Note that C stands for the circumference of a circle.
The second step is to plug this value of r into the formula for the area of a circle. We know that the area of a circle is πr^2. We are given π and the exponent, so we just need to plug in [tex]\frac{C}{2\pi }[/tex] and we end up getting [tex]A=\pi (\frac{C}{2\pi })^{2}[/tex]
The third step is to square the term in the parentheses. Whenever we have to square a fraction, all we have to do is square the numerator and the denominator:
[tex](\frac{C}{2\pi })^2=\frac{C^2}{(2\pi )^2}=\frac{C^2}{2^2\pi ^2}[/tex]
In other words,
[tex]A=\pi *\frac{C^2}{2^2\pi ^2}[/tex]
For the fourth step, 2^2 can be evaluated to get 4. We end up getting the following if we do this:
[tex]A=\frac{\pi}{4 } *\frac{C^2}{\pi^2}[/tex]
For the fifth step, we can simplify because the π in the numerator of the first fraction and the π^2 in the denominator of the second fraction cancel (π^2 / π leaves π in the denominator and a 1 in the numerator). If we perform this cancellation, we get the following fraction:
[tex]A=\frac{C^2}{4*\pi}[/tex]
For the final step, we can isolate C^2 by multiply both sides by 4π. Then, we get that C^2 = 4πA
In other words, the circumference of the circle squared is equal to 4π times the area of the circle
1. WHAT IF? Each value in the dot plot for Candidate A increases by 30 seconds. How does this affect the answers in Example 1? Explain. You do not need to have all the data from two populations to make comparisons. You can use random samples to make comparisons.
Answer:
https://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap/sampling-distribution-proportion/a/sampling-distribution-sample-proportion-example
Step-by-step explanation:
Click there and it will tell you
HELP? - MEAN, MEDIAN, AND MODE!!
The Bryants are moving to a new town and want to know about how much it will cost them to buy a house. The prices of five homes sold last week in the town were $125,500, $130,000, $132,500, $135,000, and $350,000. Which of these prices best represents the typical price of a home in this town?
A.the mode of the prices
B.the median price
C.the mean price
D.the average of the lowest and highest prices
i really think its B. but when i searched up the question, people said it was D.?
1. A school athletic director asked each athletic team member to name his or her favorite professional sports team. The results are below:
• D.C. United: 3
• Florida Panthers: 8
• Jacksonville Jaguars: 26
• Jacksonville Sharks: 7
• Miami Dolphins: 22
• Miami Heat: 15
• Miami Marlins: 20
• Minnesota Lynx: 4
• New York Knicks: 5
• Orlando Magic: 18
• Tampa Bay Buccaneers: 1 7
• Tampa Bay Lightning: 12
• Tampa Bay Rays: 28
• Other: 6 One athletic team member is picked at random. What is the likelihood that this team member's favorite professional sports team is not located in Florida? A. certain B. likely, but not certain
C. unlikely, but not impossible
D. impossible
Answer:
B i believe
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
jill bikes for 1/5 of an hour at 16 mph and then walks for 3/7 hour at 5 miles per hour how much farther did she bike then walk
Ans: 1.1 miles more
Speed = distance/time
Time is 1/5 of an hour
1/5 of 1hr = 1/5 or 0.2 hrs
Speed = 16 mph
So, we're after distance.
Distance = speed x time
= 16mph x 0.2
= 3.2 miles
Walks for 3/7 hour at 5 miles per hour :
Time & speed given, distance is what we're after.
(3/7 of 1hr is 3/7)
Distance = speed x time
= 5mph x 3/7
= 15/7 miles or 2.14285...miles
So, distance is about 2.1 miles to 1 d.p
Thus, 3.2 - 2.142... (the full ans) = 1.057... miles
Well, he biked 1.06 miles or 1.1 miles (depending on how you want to round it) more than walking.
Hope this helps!
4. IN YOUR OWN WORDS How can you order numbers that are written as fractions, decimals, and percents? Give an example with your answer.
Answer:
Step-by-step explanation:I would make them make all of them into a decimal or fraction that's how I do it like this 5/2 .45 27.5%
make them into a decimal this time because it looks easy so 5/2 into a decimal will be 2.5. and then 0.45 27.5% into a decimal will be will be 0.275
boom order it 2.5, 0.45, 0.275
I just need help with this question
Answer:
0
Step-by-step explanation:
-2 + 2 = 0
The sum of a number and its negative self is always 0 .
Hope this helped and brainliest?
Answer: 0
Step-by-step explanation:
It asks for the sum of the points plotted. The given points are on 2, and -2.
The sum is the total you get when adding 2 or more numbers.
-2+2= 0
Hope this helps!
24.8 to 13.4 as a fraction in lowest terms
Answer:
124/67Step-by-step explanation:
24.8 to 13.4 as a fraction in lowest terms
we transform into integers
24.8 * 10 = 248
13.4 * 10 = 134
we form the fraction
248/134
It is simplified by the greatest common divisor of 248 and 134, i.e. with 2.
124/67
help help help, please
I'm having problems with these 3 questions now
I really need your help! Tysm!!
Answer:
36. m^7
37. x^3 y
38. 6v^5
Step-by-step explanation:
Divide the exponents by the number in the radical sign,
so, If no number is given then divide exponents by 2 eg. question 38
Explanation36. 7√m^49 means m^(49/7) = m^7
37. 3√x^9y^3 means x^(9/3) y^(3/3) = x^3 y
38. √36v^10 means (√36) v^(10/2) = 6v^5 (√36 = 6)
Circle the correct option: A, B, C, or D.
5. A chemist mixes 25 ml of dye with 1.5 L of water to make a test solution. How many liters of the test solution are there in 98 such bottles? Round your answer to the nearest whole number.
A 140.5 L
B 145 L
C 149 L
D 154 L
Answer:
149 liters of test solution (C)
Step-by-step explanation:
We are given that 25 mL of dye are mixed with 1.5 L of water to create 1 bottle of solution. If we convert 25mL to L, we get that there is 0.025 L of dye in each solution, and the total amount of liquid in a bottle of test solution is 1.525 L (0.025 + 1.5). Since we have 98 bottles like, the total amount of test solution is 98*1.525, which is 149.45 L. Since we have to round to the nearest whole number, the answer is C, or 149 L.
helpp asap!! pls walk me thru as well!! <333
Hello!
The length and width are given.
We know the formula for calculating perimeter :
[tex]\fbox {Perimeter = 2(Length + Width)}[/tex]
Let's solve!
Perimeter = 2(123 + 17k + 24k - 49)Perimeter = 2(41k + 74)[tex]\fbox {Perimeter = 82k + 148}[/tex]∴ The perimeter is 82k + 148.
Joe gained 5 pounds. John gained 14 pounds. Jordan lost 20 pounds. Josh lost 11 pounds. Who had the biggest change in weight? A. Jordan B. Joe C. John D. Josh
Answer:I think Jordan is this a trick question
Step-by-step explanation:
find the degree of 3m^2·n^4
Answer:
4
Step-by-step explanation:
The degree of a polynomial is the variable with the highest degree, in this case you have two variables and generally, when you have two variables, especially when they're grouped you would add the degrees So for example: [tex]xy^3 + x^2y^3[/tex]. The first term xy^3 has a degree of 4 because x has a degree of 1 and y has a degree of 3, adding those two becomes 4, the second term has a degree of 5 so the degree of the polynomial is 5. In your example, you provided [tex]3m^2-n^4[/tex], which you can think of as: [tex]3m^2n^0 * n^4m^0[/tex]. Adding the degrees you get 2 and 4 the highest one is 4, so the degree of the polynomial is 4
Answer:
4
Step-by-step explanation:
Here the exponent of n is 4, which is greater than the exponent of m, which is 2. Thus, the degree of this expression is 4.
Maribeth has 131 ounces of sandwich meat. How many sandwiches can she make if she puts 2.5 ounces of meat on each sandwich? She can make _____ sandwiches.
Answer:
52
Step-by-step explanation:
131 ounces/2.5 ounces=52.4
=52 sandwich
|-14| simplified
help!!
Write the percent as a decimal.
13. 47.63%
Answer:
0.4763
Step-by-step explanation:
in order to write percents as decimals, you always move the decimal to places to the left.
3 1/2 + (-7) x (2 2/3 + 1 1/2) = ?
Answer: 77/3 or 25 2/3
Step-by-step explanation:
1. Convert mixed numbers into improper fractions:
3 1/2 = 3*2+1/2 = 7/2
2 2/3 = 2*3+2/3 = 8/3
1 1/2 = 1*2+1 = 3/2
2. Calculate within parentheses
Multiply and divide from left to right
Add and subtract from left to right
Answer:
- 53 2/3
Step-by-step explanation:
3 1/2 + (-7) x (2 2/3 + 1 1/2)
= 7/2 - 7 (8/3 + 11/2)
= 7/2 -7 (49/6)
= 7/2 - 343/6
= - 161/3
= - 53 2/3
8.35 A shopper buys a $100 coat on sale for 20% off. An additional $5 is taken off the sale price by using a discount coupon. A sales tax of 8% is paid on the final selling price. What is the total amount the shopper pays for the coat?
Answer:
Given:
A shopper buys a $100 coat on sale for 20% off. An additional $5 is taken off the sale price by using a discount coupon. A sales tax of 8% is paid on the final selling price.To find:
The total amount the shopper pays for the coat.The formula used to calculate percentage is:(value/total value)*100%.
Step-by-step explanation:
Step 1 of 2
After the 20% sale, the coat costs
100*0.8 = 80 dollars.
Then 5 dollars are taken off for a cost of
80-5 = 75
Step 2 of 2
Now adding on the sales tax,
the final amount is 75(0.8) = 81 dollars
Please help me answer the 3 questions below for me, tysm!
20. Find the total for the frequency table.
21. Find the relative frequency table value for "Business."
22. What should the total value always be for a relative frequency table?
Answer:
Step-by-step explanation:
A theatre has 1,450 seats. If 42% of these are balcony seats. How many balcony seats does the theatre have?
Answer:
609
Step-by-step explanation:
All you must do is multiply 1450 by 0.42. That would give you the total.
Answer:
Hello! The answer to your question is 609 seats.
Step-by-step explanation:
To obtain your answer, you have to multiply the percentage of balcony seats by the total number of seats. 42% is converted to 0.42 because 42/100 = 0.42:
0.42 × 1450 = 609 seats