A straw for a box drink is 4 1/8 inches long and costs $0.015 to make. The straws are laid end to end in a line until they extend 123 3/4 inches. How many straws are in the line and how much do they cost?

Answers

Answer 1
there are 30 straws and in total they cost $0.45.
Answer 2

To create a line of 123 ³/₄ inches with straws each measuring 4 ¹/₈ inches, 30 straws are needed. The cost to make these straws is $0.45.

To determine how many straws are in the line that extends 123 ³/₄ inches using straws that are each 4 ¹/₈ inches long, you would divide the total length of the line by the length of one straw. Converting to improper fractions for ease of calculation, we get:

Total length of line: 123 ³/₄ inches = 495/4 inchesLength of one straw: 4 ¹/₈ inches = 33/8 inches

Dividing the total length by the length of one straw:

Number of straws = (495/4) / (33/8) = (495/4) × (8/33) = 30 straws

Next, to find the total cost of the straws:

Cost per straw = $0.015Total cost = 30 straws * $0.015 = $0.45

Therefore, 30 straws are used to create the line and the total cost for these straws is $0.45.


Related Questions

3500 calories for 6 servings of pie ----------- calories per serving

Answers

3500/6=583.3 calories per serving
The answer is 575 calories per person per slice of pie. :)
Hope this helps!

(sin2a+sin4a)²+(cos2a+cos4a)²=4cos²a

Answers

Expanding this out gives:
[tex](sin^2 (2a) + 2sin(2a) sin(4a) +sin^2 (4a)) \\ +(cos^2 (2a) + 2cos(2a) cos(4a) +cos^2 (4a)) \\ = 4cos^2 (a)[/tex]

Simplify by using pythagorean identity:
sin^2 + cos^2 = 1
[tex]2sin(2a)sin(4a) + 2cos(2a)cos(4a) + 2 = 4cos^2 (a)[/tex]

Next use cosine difference identity:
cos(x-y) = cos(x)cos(y) +sin(x)sin(y)
[tex]2 cos(4a-2a) +2 = 4cos^2 (a)[/tex]

Next use cosine double angle identity:
cos(2x) = 2cos^2 - 1
[tex]2(2cos^2 (a) -1) + 2 = 4cos^2 (a)[/tex]

Finally distribute and Right side  = Left side
[tex]4 cos^2 (a) = 4 cos^2 (a)[/tex]
Identity is proved

What is 126 divided by 2?

Answers

the answer is 63

126/2=63

The quotient of  126 divided by 2 is  63.

What are some alternative names for arithmetic operations?

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, A statement that the number 126 is being divided by the number 2.

We know, 126 is an even number so it is definitely divisible by 2 without remainder.

Now, (126/2) = 63    (as 2×6 is 12 and 2×3 is 6).

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Paula received a paycheck of $585. This amount reflects her weekly earnings less 10% of her earnings for deductions. How much was she paid before deductions were taken out?

Answers

In order to do this we must set up an equation
We are looking for the original amount she was paid, which we'll represent by the variable X
We know that $585 is X minus 10% of X
This means that $585 is 90% of X (or X times 0.90)
So, our equation is

X(0.90)=585

In order to solve this, we can divide both sides by 0.90

X=650

So, she was originally paid $650

use the decimal model to find the product 3×0.33

Answers

I am pretty sure its 0.99
The answer is 0.99, btw I double checked my answer.

Solve the following word problems by writing an equation and then solving algebraically:

During the 2007 baseball season, Wade was up to bat 10 more times than his teammate Dwight. Dwight batted 17 fewer times than another teammate, Ellis. The three players were up to bat a total of 1650 times. How many times did Ellis come to bat?

I only really need help making an equation because the ones I tried making didn't work.

Answers

This problem requires more than one equation, at least for me to get it to work ~this is how I did it

Wade = w     Dwight = d    Ellis = e     Up to Bat = 1650
These are the equation to find each personw = d + 10e = d +17d = w - 10    or     d = e - 17
This is the basic equation you have to plug the other equations into1650 = w + d + e
I solved for Dwight so I plugged in for w and for e1650 = (d + 10) + d + (d + 17)     ~then I simplified1650 = 3d + 27     ~everything grouped together than matched1623 = 3d     ~I subtracted 27 from both sides541 = d     ~I divided both sides by 3Dwight batted 541 times

This is where I solved for Ellis since that is what the question waskede = d + 17     ~first equation
e = 541 + 17     ~plugged in 541 for d since that's how many times d battede = 558     ~finally simplified the equation

Ellis came up to bat 558 times in the 2007 baseball season

HELP!!

What is the solution of the system?

Use the substitution method.

{y+7=3x
6x−2y=12

(a.) (14, 12)
(b.) (12, 14)
(c.) There is no solution.
(d.) There are an infinite number of solutions.

Answers

c. There is no solution
I just took the test and the correct answer is c.

Grey 2.4 times as many miles as Emory. If Emery ran 2.08 miles, how many miles did grey run.

Answers

the answer is 499.20 becasue you have to multply 2.4. to 2.08 and that's how you get the answer
The answer is 499.20

The seventh-grade band is going to sell baked goods at the craft show. The cost to rent a booth at the craft show is $60. The band plans to charge $1.50 per baked good. How many baked goods must they sell in order to profit at least $200?

Answers

200+60=260/1.50=173.3
selling 173 would be under 260 dollars and im assuming you cant sell half a baked good 
so the answer is 174

The number of baked goods to have at least a profit of $200 is

94 or more.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

Cost of renting a booth = $60

Charge per baked good = $1.50

The number of baked goods to have a profit of at least $200.

60 + 1.50x ≥200

Solve for x.

60 + 1.50x ≥ 200

Subtract 60 on both sides.

1.50x ≥ 200 - 60

1.50x ≥ 140

Divide both sides by 1.50

x ≥ 140/1.50

x ≥ 93.33

This means,

94 or more baked goods.

Thus,

94 or more baked goods need to be sold to have a profit of at least $200.

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A baker wants to put 3 3/4 pounds of apples in each pie she makes. She purchased 52 1/2 pounds of apples. How many pies can she make

Answers

3 3/4=3.75
52 1/2=52.5
52.5/3.75=14
She can make 14 pies.

Answer:

UCOSVGLJHBdfbhksd

Step-by-step explanation:

Can u guys help me with the blank space what's the answer!?

Answers

N =30 hope this helps
First you multiply 72 by 5 which you get 360

And then you divided it by 12 which you get 30

So the n=30

Deirdre doubled her savings account balance of $100 . Then she withdrew $30 to buy some new clothes. Represent this situation with a numerical expression.

Answers

Your answer would be 100-30=70
(100*2)-30 
100 is multiplied by two to get 200 and then you subtract 30 to get 170 because they withdrew money so they took away money.

how to turn 5x+10y=15 in to slope intercept form (y=mx+b)

Answers

5x+10y=15
5x-5x=0
15-5x
10y=-5x+15
-5x /10 and 15/10
y=-1/2x +1.5
Final answer:

To convert the equation 5x+10y=15 into the slope-intercept form y=mx+b, subtract 5x from both sides and then divide by 10. The final equation will be y = -0.5x + 1.5, where -0.5 is the slope (m) and 1.5 is the y-intercept (b).

Explanation:

Converting the equation 5x+10y=15 into slope-intercept form (y=mx+b) involves isolating y on one side of the equation. The slope-intercept form of an equation is defined such that m is the slope and b is the y-intercept.

Here are the steps to convert this:

Start with the original equation: 5x + 10y = 15.Subtract 5x from both sides to get: 10y = -5x + 15.Divide every term by 10 to isolate y: y = -0.5x + 1.5.

The equation is now in the form y = mx + b. Here, the slope, m, is -0.5 and the y intercept, b, is 1.5, which is the point at which the line intercepts the y axis.

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a.Two friends share 76 blueberries
To count the blueberries,they can put them into small bowls of 10 blueberries.Draw a picture to show how the blueberries can be shared equally.Will they have to split apart any of the bowls of 10 bluberries when they share them?

Answers

They would have to split apart the group with 6 blueberries. Each friend would get three blueberries from this group.
Final answer:

To divide 76 blueberries equally into small bowls of 10 blueberries, 7 bowls will be needed. They will need to divide the remaining 6 blueberries equally by adding 1 blueberry to each bowl.

Explanation:

To divide 76 blueberries equally into small bowls of 10 blueberries, we will need 7 bowls. Each bowl will contain 10 blueberries, with 6 blueberries left over. Since they cannot split apart a bowl of 10 blueberries, they will need to divide the remaining 6 blueberries equally by adding 1 blueberry to each of the 7 bowls. This way, they will have shared the blueberries equally.

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What is the slope of the line whose equation is –48 = 2x − 8y?



convert in to a fraction

I need it done now

Answers

We need to isolate y,, –48 = 2x − 8y,, –48-2x = -8y,, -8y = -2x - 48,, y = (-2x - 48)/(-8),, y = (-2x)/(-8) - 48/(-8),, y = (1/4)x + 6,, The last equation above is in the form y = mx+b where m = 1/4 is the slope

Lightning strikes Earth 1000 times in 10 seconds. How many times does it strike per second?

Answers

100 lightning strikes per second because 1000 / 10 = 100.

Lightning strikes the earth 100 times per second.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

Given that, lightning strikes earth 1000 times in 10 seconds.

So, mathematically,

10 seconds = 1000 times

1 second = (1000/10) times

1 second = 100 times

Hence, lightning strikes the earth 100 times per second.

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Jim said led 3/4 gallon of lemonade. Dwight sold some lemonade, to.together they sold 1 5/12 gallons.who sold more lemonade, Jim or Dwight

Answers

1 5/12= 1.416 (in decimal form)
3/4=.75 (in decimal form)
1.416 (total amount of lemonade sold) - .75 (amount of lemonade Jim sold) = amount of lemonade Dwight sold
Amount of Lemonade Dwight Sold = .666
Jim sold more lemonade because .75 gallons is greater than .666 gallons

It's clear that [tex]\( \frac{9}{12} \)[/tex] is greater than [tex]\( \frac{20}{48} \).[/tex] So, Jim sold more lemonade than Dwight.

Jim sold [tex]\( \frac{3}{4} \)[/tex] gallon of lemonade.

Dwight sold [tex]\( \frac{5}{12} \)[/tex] gallons.

To compare them, we need to find a common denominator, which is 12.

For Jim:

[tex]\[ \frac{3}{4} \times \frac{3}{3} = \frac{9}{12} \][/tex] gallon.

For Dwight:

[tex]\[ \frac{5}{12} \times \frac{4}{4} = \frac{20}{48} \][/tex] gallon.

Now, it's clear that [tex]\( \frac{9}{12} \)[/tex] is greater than [tex]\( \frac{20}{48} \).[/tex] So, Jim sold more lemonade than Dwight.

0.15% as a decimal and as a mixed number or fraction

Answers

.0015, 15/10000=3/2000
.15= decimal.
3/20= fraction.

Complete the ratio 6:30 = 1:? What goes where the question mark is?

Answers

The answer is 5 because 30/6=5

The value of the variable that is missing a number will be 5.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Let x be the missing number. Then the ratio is given as,

6: 30 = 1: x

Simplify the equation, then the value of the variable 'x' will be given as,

6 / 30 = 1 / x

x = 30 / 6

x = 5

The value of the variable that is missing a number will be 5.

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I am making an acrostic poem and I am using the word "slope". Anyone have any ideas?

Answers

does the poem have to be about anything specific??

Three different ways you can add the same addends to make 12

Answers

1plus11 2plus10 6plus6
1+11, 5+7, 3+9, 2+10, 4+8, 6+6,

Melanie spent four hours babysitting. She charges $16 upfront and then and additional charge per hour. The total amount she earned can be represented by the expression $4x + $16. What expression represents the amount she earns each hour?

Answers

Final answer:

The expression representing the amount Melanie earns each hour from babysitting, based on the expression $4x + $16 and her working for four hours, is represented by the variable $x. To determine the hourly rate, we would divide the total hourly charge by the number of hours, but the specific value of $x is not given.

Explanation:

The given expression representing Melanie's total earnings from babysitting for four hours is $4x + $16. Here, $16 is the upfront charge and $4x represents the additional hourly charge multiplied by the number of hours worked. To find the expression representing the amount she earns each hour, we look at the variable part of the expression, which is $4x.

Since Melanie worked for four hours, this part of the expression ($4x) must account for her earnings per hour times the number of hours worked. To find her earnings per hour, we divide the total hourly charge by the number of hours. Therefore, the expression for the hourly rate is $x.

To determine the specific amount that x represents, we would need additional information, such as the total amount she earned after working the four hours. However, based on the given expression, we can conclude that x is representative of Melanie's earnings per hour.

what is the last step when solving the following equation for m? 4m-6=92

Answers

The last step is dividing both sides by 4: 4m=98 which would become: m=24.5

Hope this helps :)

Answer: 24.5

Step-by-step explanation:

4m-6 = 92

If we replace m with 24.5

4 x 24.5 = 92

therefore the answer is:

24.5

How does Elian's drawing show that the number 10 is a composite number?

Answers

It shows that there is only one way to get to 10 which is by multiplying it by 1

Car A travels 180 miles in 7 hours. Car b travels 350 miles in 4 hours. Car c travels 584 miles in 15 hours. Which car has fastest average speed?

Answers

Car b has the fastest average speed

Answer:

Car B has the fastest average speed 87.5/ per hours

Step-by-step explanation:

Car A

180/7 = 25.714

Car B

350/4= 87.5

Car C

584/15= 38.93

78% as a fraction and in simplest form

Answers

39/50 and thats in simplest form
So percent is 100 so the fraction would be 78/100 and then u can divide both numbers by 2 and get 39/50 in simplest form

Two bands are marching in a parade there are 32 people in the first band 40 people in the second band the same number of people are marching in each row in each band what is the greatest number of people that could be marching in each row

Answers

Eight people in each row
Basically, this question is asking you to find what is the smallest number that both 40 and 32 are divisible by evenly?
The answer here is eight.
40/8 = 5
32/8 = 4
So the first band will have 4 rows of eight, and the second will have 5 rows.

Can I have halp with all and an explanation because I am terrible at properties.

Use properties of equality to simplify each of the following expressions so that you can simplify them in your head. Identify the properties used and describe how you used them.

1. 4 • (–3) • 5



2. (2.25 • 23) • 4





4. 5 • 12 • (–2)



5. 35(26)(0)

Answers

1.   4 • (–3) • 5
   so 4 x (-3) = -12  and then -12 x 5 = -60
2.   (2.25 x 23) x 4
so (2.25 x 23) 51.75  and then 51.75 x4 = 207
4.  5 x 12 x (-2)
 so 5 x 12 = 60  and then 60 x (-2) = -120
5.   35(26)(0) =
  so 35 x 26 = 910  and then  910 x 0 = 0

Explanation of simplifying expressions using properties of equality.

Properties of equality are used to simplify expressions. Let's go through each example:

4 • (–3) • 5 = -60 (Multiplicative property of equality) (2.25 • 23) • 4 = 207 (Associative property of multiplication) 5 • 12 • (–2) = -120 (Multiplicative property of equality) 35(26)(0) = 0 (Multiplicative property of equality)

Plz Help fast!!
25 points. Which equation correctly applies the distributive property?
A. 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25)
B. −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)
C. (42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2)
or D. −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67 ​

Answers

A. Because as you see the -3.4 and the 2.4 get multiplied on the right side, showing the distributive property.   

Answer:

The answer is B

Step-by-step explanation:

I know I'm late to this answer, but I'm just answering it just in case anyone else needs it.

Michelle multiplied 3.4 x 52 She incorrectly wrote 1,768 as her product. Use words, numbers, and/or pictures to explain Michelle's mistake.

Answers

She forgot the decimal point in 3.4, instead of 3.4x52 she did 34x52

Michelle forgot to add the decimal point on her result number.

Further Explanation

When multiplying decimal numbers don't forget to put the decimal point. The whole process of multiplying would be the same as the whole numbers multiplication except for the placement of the decimal point in the answer.

For example:

[tex]=\boxed {3.4 \times52\ }\\ =\boxed {176.8\ }[/tex]

The step by step process would be:

 3.4                    ⇒ the first factor has 1 decimal point

  52   x             ⇒ the second factor has 0 decimal point

  68

170    +

176.8                 ⇒ the answer would have 1 decimal point

Unlike the additional decimal numbers, when we are doing the multiplication, we don't need to line up the decimal point, in the case above:

first factor has 1 decimal pointthe second factor has 0 decimal point (a whole number)so the answer would be have 1+0 = 1 decimal point

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Keywords: multiplication, decimal multiplication, two digits number additional, additional,

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