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?

Answers

Answer 1

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 2

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


Related Questions

Answer this. Show your work. Worth 10 points. Under 4 hours. URGENT.

Answers

You can visualize the shape as 2 rectangles and then add the area of each.

12x10=120
25x14=350
120+350=470

C. 470
Answer : C (470)
12x10=120
14x25=350
350+120=470

Fraction word problems really easy

1. Comet x is 4 5/12 light years away from earth. Comet y is 2 7/18 light years away from earth. How much farther is comet x?

2. Ari needs to add 3/4 cup of flour to a recipe. She only has 1/4 cup measure. How many scoops of flour does ari need to add?

3. On Monday a team of street sweepers cleaned 3 city blocks. Tuesday, the team clean 1/4 as many blocks as Monday. How many city blocks did the street sweepers clean on Tuesday?

4. Davin bought a block of fudge that weighed 1/2 of a pound. He cut the fudge into 2 equal pieces. What was the weight of each piece of the fudge?

5. 2/5 of the students in the orchestra are in the violin section. 1/5 of the students in the orchestra are in the cello section. What fraction of the students in the orchestra are in either the violin section or the cello section.

Answers

1.

4 5/12 -->  53/12

2 7/18 --> 43/18

53/12 --> 159/36

43/18 -->86/36

159       86      73

-----    -   ----  = -----

36         36       36

2.

3 scoops

3.

0.75 blocks

4.

1.4 of a pound

5.

3/5 students

number 2 is 3 scoops

There are 26 students in William's math class. The mean height of the students is 160 cm, and the median height is 156 cm. The interquartile range of the heights is 18 cm, and the mean absolute deviation of the heights is 4.6 cm.

Part A: Suppose the students in William's math class are listed in order from shortest to tallest. What is the difference between the height of the seventh student in the list and the height of the twentieth student in the list?

Part B: Suppose a new student joins William's math class, and his height is 160 cm. What is the mean height of students in the class with the additional student?

Please answer both parts for 50 points. :))

Answers

Answer:

To answer this question you will use the median height of 156 centimeters and the fact that there are 26 kids in the class to know that the median is not in the data set, therefore it breaks the data into two equal halves with 13 in each half.There would be 13 less or equal to the median height.

Step-by-step explanation:

Answer:

There would be 13 less or equal to the median height.

HELP ME PLEASE, I GOT STUCK AND IT'S DUE TODAY!!

Answers

Answer:

23. 1/5 24.7/10 25. 23/50

Answer:

his is correct

Step-by-step explanation:

Need Help, Please ? Also show work.

Answers

I cant solve this for you but I can explain to you how to solve for mean median and mode.

Let’s start with mean:
To solve for the mean add all the numbers up and then divide by the amount of values there are.
Ex. 1,3,4, and 5
you would add those numbers up and divide by 4 considering there are 4 values.

Next up is median:
To solve for median you need to order the numbers from least to greatest and find the middle number. That is your median. I like to remember the median by this- when driving that center divider is called the median. So you know the median is the middle or center number. If you don’t have an even set of numbers simply take the two middle numbers, add them together and divide them by two.

Mode is simple:
Find the number that repeats itself most often. If your data set is 1, 2, 3, 2, and 5 your mode is 2 because it appears most frequently throughout the data set. Hope this helps!
To commute the mean, median, mode and range of the following statistics you would do the following:

To commute the mean of this years test, add all the numbers up, and divide the sun of the numbers by the amount of numbers added together.

To commute the mode of this years test find the number that is used the most frequent in the statistics.

To commute the median of this years test, order the numbers from least to greatest and from both sides mark off one individual number on both sides until you reach the middle number

Ex. of median:

3,4,9,12,37,37,98,128,146,198

So you would have to medians, 37 and 37, so in this instance add the 37 and 37 together and divide it by two because you added two numbers

The median of these numbers would be 37 because 74 divided by two is 37.

So once you have calculated the mean median and mode for this years, do the same process but for ten years ago.

Then compare differences.

50. MULTIPLE CHOICE Ham costs $4.48 per pound. Cheese costs $6.36 per pound. You buy 1.5 pounds of ham and 0.75 pound of cheese. How much more do you pay for the ham? (Skills Review Handbook) A. $1.41 B. $1.95 C. $4.77 D. $6.18

Answers

The answer is B. 1.95
The answer is B:1.95

PLS HELP ME

A scatter plot is shown below:

A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on the y axis at increments of 1. The ordered pairs 0, 14 and 1, 11 and 2, 9 and 3, 10 and 4, 7 and 5, 7 and 6, 5 and 7, 5 and 8, 3 and 9, 1 and 10, 0 are shown on the graph.

Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot?

(4, 15) and (10, 7)
(1, 6) and (6, 0)
(0, 13) and (10, 11)
(0,13) and (10,0)

Answers

Answer:

Step-by-step explanation:

I think that the best line you can draw with an ordered pair given would be (4,15) and (10,7)

it would be (4,15) and (10, 7)

Solve. Justify your responses.
Given: a||b and c||d, m∠4=35°
Find: m∠1, m∠2, and m∠3

Answers

The measure of the angles m∠1, m∠2 and m∠3 are 145°, 35° and 35° respectively.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

m∠2 = m∠4 = 35° (corresponding angles are equal)

m∠2 = m∠3 = 35° (corresponding angles are equal)

m∠1 + m∠3 = 180° (base angles are supplementary)

m∠1 + 35 = 180

m∠1 = 145°

The measure of the angles m∠1, m∠2 and m∠3 are 145°, 35° and 35° respectively.

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Angles 3 and 2 are 35 and Angle 1 is 145


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.

Answers

Answer:what graph?

Step-by-step explanation:

if we cant see the graph then we cant answer lol

Based on the image attached of the graph, the points that show equivalent ratios that would also be on the graph are option A and D which are: (6,18)  (1,3).

What is the graph about?

Note that: [tex]\frac{x}{y}[/tex]

=[tex]\frac{3}{9}[/tex]

= 1/3

So when you use 1/3 to compare all the options given, you will see that only option A and D  is equal to the value given.

So if a person can write that  we got  1 fish and we needs 3 gallons and when a person  make a point on the line, it will be (1,3).

The other equivalent fraction is known to be 6/18. When a person multiply the numerator and denominator by 2, the value that will be obtained is:

[tex]\frac{3 x 2 }{9 x 2}[/tex]   = 6/18.

So therefore, Based on the image attached of the graph, the points that show equivalent ratios that would also be on the graph are option A and D which are: (6,18)  (1,3).

See full question below

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)

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Circle the correct option: A, B, C, or D.

1. What is the estimated total of ticket sales for a theater which sold 289 tickets at $11.75 per ticket?

A 2,200
B 3,600
C 2,000
D 5,500

Answers

the closest estimate would be B. If you multiple 11.75 by 289 you would get 3,395.75. Rounded, it would conclude to 3,400. Since there are no accurate responses, i’d say B would be the best bet.
B, its the only answer that makes sense no work needed

what is x + 5 < 6 ? PLEASE HELP!! WILL GIVE 15 POINTS

Answers

what are you meaning for the “<“ to symbolize?

Answer:

x < 1

Explanation:

→ x + 5 < 6

subtract both sides by 5

→ x + 5 - 5 < 6 - 5

simplify the following

→ x < 1

A farm has 2000 acres. If 3/5 of this was used for crops and 3/4 of the remainder was used for grazing, how many acres were left?

(Giving out 100 points!!)

Answers

Answer:

7 1/2 acres = 15 / 2 acres and a third of this is 5/2 or 2.5 acres for grazing animals.7 1/2 acres = 15 / 2 acres and a fifth of this is 3/2 or 1.5 acres for growing vegetables.

Step-by-step explanation:

If the starting amount was 2000, doing simple math 900 acres remain!

Find the value of a,b and c from the following figures .​

Answers

Answer:

a=c=30⁰, b=150⁰.

Step-by-step explanation:

angle R is 120⁰ (vertically opposite angle)

so, for vertically opposite angle c we have,

30⁰+120⁰+c=180⁰

Hence, c=30⁰.

angle a = angle c = 30⁰ (corresponding angle).

180⁰-c = b (from figure being straight line)

or, b=180⁰-30⁰

hence, b=150⁰

I first found variables to let the amount
invested be at. Then have the variables I
choose represent y and z. The amount
invested at 2% = $600. The amount
invested at 3% = $1,100. The amount
invested at 4% = $2,200. Total amount
invests at 2%
$600

HELPPP:
A motorist planned a teipcovering 920 miles. After he had traveled 598 miles, wha5 percent of the mileage planned had he covered?

Answers

Answer:

The answer is 65 percent

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

This is a proportion question.

598      x

___ = ___

920    100

First, do 598 x 100 and get 59,800.

Then do 59,800/920 and get 65%.

Write the percent as a decimal. 11. 33%

Answers

If you convert it, the answer is 0.11333.
0.33
not sure why this needs to be 20 characters but we’ll make it

8. MAGAZINES You want to compare the number of words per sentence in a sports magazine to the number of words per sentence in a political magazine.
a. The data represent random samples of 10 sentences in each magazine. Compare the samples using measures of center and variation. Can you use this to make a valid comparison about the magazines? Explain.
Sports magazine: 9, 21, 15, 14, 25, 26, 9, 19, 22, 30 Political magazine: 31, 22, 17, 5, 23, 15, 10, 20, 20, 17

Answers

Answer:

I also don't know so I am sorry I need point

Answer:

On comparing the center i.e. mean we get that the sports magazine 19 uses more words than a political magazine 18 but they are almost the same because their difference is only 1. The variance of sports magazines 5.8 is greater than the variance of political magazines 5.2. We cannot use this to make a valid comparison about the magazines to a magazine the content matters or maybe the number of readers matters not the number of word count.

Step-by-step explanation:

Given: The number of words per sentence in a sports magazine to the number of words per sentence in a political magazine. The data represent random samples of 10 sentences in each magazine.

Sports magazine [tex]$$9,21,15,14,25,26,9,19,22,30$$[/tex].

Political magazine [tex]$$31,22,17,5,23,15,10,20,20,17$$[/tex].

To compare the samples using measures of center and variation.

Find the mean of both the data and compare them.Find the variance of both the data and compare them.

Step 1 of 2

The mean of the words of sports magazine is [tex]\begin{aligned}(9+21+15+14+25+&26+9+19+22+30) \times \frac{1}{10} \\&=\frac{190}{10} \\&=19\end{aligned}[/tex]

The mean of the words of the political magazine is [tex]\begin{aligned}&(31+22+17+5+23+15+10+20+20+17) \times \frac{1}{10}\\&=\frac{180}{10}\\&=18\end{aligned}[/tex]

On comparing the center i.e. mean we get that the sports magazine uses more words than a political magazine.

Step 2 of 2

Variation of sports magazine is [tex]=\frac{1}{10}\times(|19-9|+|19-21|+|19-15|+|19-14|+|19-25|+|19-26|+|19-9|+|19-19|+|19-22|+|19-30|)$$\\ $$=\frac{1}{10}\times(10+2+4+5+6+7+10+0+3+11)$$\\$$=\frac{1}{10}\times58$$\\$$=5.8$$[/tex]Variation of the political magazine is \end{tabular}

[tex]=\frac{1}{10}\times(|18-31|+|18-22|+|18-17|+|18-5|+|18-23|+|18-15|+|18-10|+|18-20|+|18-20|+|18-17|)$$\\ $$=\frac{1}{10}\times(13+4+1+13+5+3+8+2+2+1)$$\\ $$=\frac{52}{10}$$\\ $$=5.2$$[/tex]

The variance of sports magazines is greater than the variance of political magazines.

We cannot use this to make a valid comparison about the magazines to a magazine the content matters or maybe the number of readers matters not the number of word count.

How much is 2 quaters+ one 5 cents + 1 dime + 2 cents equals?​

Answers

Answer:

67 cents

Step-by-step explanation:

2 quarters: one quarter is 25 cents, so two will be 50 cents.

5 cents: Just 5 cents.

1 dime: A dime is 10 cents.

2 cents: 2 cents!

Add everything up: 50 + 5 + 10 +2 = 67 cents!

25 cents + 25 cents + 5 + 10+ 2 = 67 cents


12. Find the equivalent measure.

0.4 m = ___________ cm

Answers

Formula to convert meter to centimeter: multiply the value in meters by the conversion factor ‘100’
So 0,4 = 0,4 * 100 = 40 cm

[tex]\frak{Hi!}[/tex]

[tex]\orange\hspace{300pt}\above2[/tex]

              [tex]\star\large\boldsymbol{\rm{Given-:}}[/tex]

0.4 metres, abbreviated as m

             [tex]\star\large\boldsymbol{\rm{We're\;Looking\;for}}[/tex]

0.4 metres is the same as how many centimetres, cm ?

               

            [tex]\star\large\boldsymbol{\rm{This\;is\;how\;it's\;found}}}[/tex]

Multiply 0.4 by 100. That way,you will get the number of cm.

 

        [tex]\large\boldsymbol{\rm{0.4\times100=40\;Centimetres}}[/tex]

[tex]\pmb{\tt{done!!!}}[/tex]

[tex]\orange\hspace{300pt}\above2[/tex]

8.3.9 On December 1, Tom's House of Dollhouses increased the prices on all of its dolls by 25%. In January, Tom is having a sale where all dolls are priced 20% off the December prices. For any doll, is the January price higher than, lower than, or the same as the November price for that same doll? Does your answer depend on the doll's original price?

Answers

Answer:

The January price of the doll is same as the November price. It does not depend on the original price.

Step-by-step explanation:

- We are given with a word problem

- We are asked to find whether the January price is higher or lower or equal to the November price.

- We can do this in two steps

Step 1 : Finding the price of doll in December and January

Step 2 : Comparing them.

Step 1 of 2

Let x be the price of any doll in Tom's House.

The percentage increase in December is 25%

That is [tex]$\frac{1}{4} \times x=\frac{x}{4}$[/tex]

Then the price in December is

[tex]x+\frac{x}{4}=\frac{4 x+x}{4}$$\\ \frac{4 x+x}{4}=\frac{5 x}{4}[/tex]

And the percentage decrease in January is 20%

That is [tex]$\frac{20}{100}=\frac{1}{5}$[/tex] of that price in December

[tex]$$\begin{aligned}\frac{1}{5} \times \frac{5 x}{4} &=\frac{5 x}{5 \times 4} \\\frac{5 x}{20} &=\frac{x}{4}\end{aligned}$$[/tex]

We are gay because this app is the answer because I just did the test

Kevin wants to change the engine in her car. The current engine is 250 cubic centimeters and has a 14 inch fan belt. The new engine is 350 cubic centimeters and has proportionally larger fan belt. What size fan belt will Cohan need for her new engine?
A - 14/250 = N/350
B - 350/14 = N/350
C - 350/1 = 250/N

Answers

The answer is A 14/250 = N/350

Option A) 14/250 = N/350 is correct.

Kevin wants to change the engine in her car. The current engine is 250 cubic centimeters and has a 14 inch fan belt. The new engine is 350 cubic centimeters and has proportionally larger fan belt.

What is proportionality?

proportionality can be defined as, how much the number is relatable to other number i.e. x =2y x is two times proportion to y.

Hence, in the question
for 250 cc engine it has 14 inch belt
for 350 cc engine it has N inch belt(let)
proportionality can be given as
14 ∝ 250
N ∝ 350
dividing both equation
N/14=350/250
or 14/250=N/350

Thus, the required proportion is given as 14/250=N/350.

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18. Curry powder is sold at $7.45 per 100 g. How much money will Thuy need in order to buy 3 kg of curry powder?

Answers

Answer:

Step-by-step explanation:

$7.45 = 100g

x = 3kg( 3 × 1000) = 3000g

$7.45 = 100g

   x        = 3000g

(100 × x) = (7.45 ×  3000)

100x = 22350

100x/100 = 22350/100

x  = $223.5

$7.45 = 100g
x = 3kg ( 3 × 1000) = 3000g
$7.45 = 100 g
X
= 3000 g
(100 × x) = (7.45 × 3000)
100x = 22350
100x/100 = 22350/100
X=$223.5

7.29. hose fills a swimming pool at a rate of 0.5 gallons per second. If the pool's capacity is 9,000 gallons, then how many hours does it take for the hose to completely fill an empty pool?

Answers

Answer:

It takes the hose 300 hours to fill the pool

Step-by-step explanation:

The hose can fill the pool at a rate of 0.5 gallons per second, which means that it can fill the pool at a rate of 1 gallon per 2 seconds. It needs to fill 9000 gallons of water, so assuming the ratio remains 1:2, it takes the hose 18000 (9000*2) seconds to fill the pool completely.

However, it is important to note that we have to answer in terms of hours. There are 60 seconds in an hour, so 18000 seconds is equal to 300 hours (18000/60).

Answer:

If the pool's capacity is 9,000 gallons the number of hours it takes for the hose to completely fill an empty pool is 5 hours.

Step-by-step explanation:

Given:

A hose fills a swimming pool at a rate of 0.5 gallons per second.

If the pool's capacity is 9,000 gallons, we have to find the number of hours it would take for the hose to completely fill an empty pool.

Step 1 of 1

Do a basic conversion problem:

time in seconds[tex]$=9000$ gallons $\cdot \frac{1 \text { seconds }}{0.5 \text { gallons }}$[/tex]

[tex]$$\begin{aligned}&=\frac{9000}{0.5} \text { seconds } \\&=18000 \text { seconds }\end{aligned}$$[/tex]

We can also convert seconds to hours using conversion factors. This gives

[tex]$$\begin{aligned}18000 \text { seconds } &=(18000 \text { seconds }) \cdot \frac{1 \text { minute }}{60 \text { seconds }} \cdot \frac{1 \text { hour }}{60 \text { minutes }} \\&=\frac{18000}{60 \cdot 60} \text { hours } \\&=5 \text { hours }\end{aligned}$$[/tex]

Show all work.
10. If ab + 2c= c, then c =
(A) 2ab +c
(B) 4abc
(C) 3abc + 4c
(D) c+ 2ab

Answers

Answer:

I'm not sure but I guess it was D

Step-by-step explanation:

coz they want the c value

SO PROBABLY D OR A

TRY ASKING YOUR FRIEND

THANK YOU

I think is D but I dont for real

Titus drew a circle with his compass. The circle has five central angles. Four of the angles measure 55°, 37°, 96°, and 88°. What is the degree measure of the last central angle? SHOW ALL WORK

PLEASE HELP ME AND REMEMBER TO SHOW ALL WORK, IT'S DUE TODAY!!!
TYSM

Answers

Answer:

84°

Step-by-step explanation:

The circle has five central angles that together equal to 360°.

55° + 37° + 96° + 88° = 276°

Hence, to find the fifth central angle, we have to subtract 276° from 360°.

360° - 276° = 84°

The degree measure of the last central angle is 84°.

Hope this helps! :)

Answer:
84 because once you do that then youre gonna that then lastly you have that

What fraction does the green dot represent?

Answers

Answer: 1 1/5 or 6/5

Step-by-step explanation:

Answer:1/5 or 6/5 explanation bc it’s right

A vocational school admits 4 out of every 10 people who apply for admission. One year 640 students were admitted. How many people applied for admission?

Answers

Answer:256

Step-by-step explanation:640/10 equal 64

so then multiply 64x4 equal 256 so 256/640

The number of students who applied for admission is 1600

Using the values given in our Calculation:

Total number of admitted students = 640Admission proportion ; 4 out of 10

Calculating the proportion of students who gets admitted :

4/10 = 0.4

To obtain the number that would get admitted from 640 students, divide the total number of applications by the proportion

Now we have :

640 / 0.4 = 1600

Therefore, only 1600 students applied .

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Show all work.
10. If ab + 2c= c, then c=
(A) 2ob+c
(B) 4abc
(C) 3abc + 4c
(D) c+ 2ab

Answers

2455454654554544334343333
the answer is d i believe

PLEASE ANYONE HELP: The recycler pays a penny per pound for newspaper and a nickel per pound for aluminum. Rob wants to earn $20 for his club. He collects 1,100 pounds of newspaper. How many cans must Rob collect if each can weighs approximately 1 oz?

Answers

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.

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17. Quinn bought 30 pens at $1.45 each. She gave the cashier $50. How much change did she get?

Answers

She got back $6.50.

explanation -
30 x 1.45 = 43.5
50 - 43.5 = 6.50
answer: she got $6.50 back

multiply how many pens she got (30) by the price of each ($1.45) = 43.5

then subtract that number to the amount she gave the cashier ($50) = 6.5

PLEASE ANSWER AND EXPLAIN THE PROCESS

Answers

Step-by-step explanation:

Angle 1 = 105 degrees (co-interior angles on a set of parallel lines)

Angle 2 = 75 degrees (corresponding angles on a set of parallel lines)

Hope you have a nice day :)

m1=105 degrees
m2=75 degrees
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