an assembly line worker at Rob's Bicycle factory adds a seat to a bicycle at the rate of 2 seats in 11 minutes. Write a proportion relating the number of seats s to the number of minutes m. At this rate, how long will it take to add 16 seats? 19 seats?

Answers

Answer 1
Rate = 2 seats/11 minutes = 2/11  seats/min

Therefore the time required for s seats is
[tex](m \, min) = \frac{s \, seats}{ \frac{2}{11} \, \frac{seats}{min} } = \frac{11s}{2} \, min[/tex]
That is,
m = (11s)/2 min

When s = 16, obtain
[tex]m = \frac{11(16)}{2} = 88 \, min[/tex]

When s = 19, obtain
[tex]m = \frac{11(19)}{2} = 104.5 \, min[/tex]

Answers:
[tex]m = \frac{11s}{2} [/tex]
When s = 16, m = 88 min
When s = 19,  m = 104.5 min



Related Questions

An apartment has
972
square feet of carpeting. How much is this in square meters? Use the following conversion:
1
square meter is
10.8
square feet.

Answers

When you divide 972 by 10.8 you get the answer of 90. Hope this helps :)


If an apartment has  972 square feet of carpeting then from conversion we can say that it has 90 square meters.

What is conversion?

Conversion is basically converting one unit to another because there are different quantities expressed in different units. Like in one kilogram there are 1000 grams, etc.

How to convert units?

We have been given that an apartment has 972 square feet of carpeting and we are required to convert these 972 square units into square meters. We have been given that 1 square meter is equal to 10.8 square feet.

972 square feet=972/10.8

=90 square meters.

Hence if an apartment has  972 square feet of carpeting then from conversion we can say that it has 90 square meters.

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hat is 965.38 rounded to the nearest tenth? A. 970 B. 965.4 C. 965.3 D. 965

Answers

B. 965.4 because 8 is greater than 5 so you round the 3 up to 4
The answer is B. When you round is the number is above 5 you round up so 965.38 rounded to the nearest tenth is 965.4

which division expression is equivalent to 4 1/3 ÷ -5/6

Answers

[tex]4\dfrac{1}{3}\div\left(-\dfrac{5}{6}\right)\qquad(*)\\\\\text{Convert the mixed number to the improper fraction:}\\\\4\dfrac{1}{3}=\dfrac{4\cdot3+1}{3}=\dfrac{12+1}{3}=\dfrac{13}{3}\\\\(*)=\dfrac{13}{3}\div\left(-\dfrac{5}{6}\right)\\\\\text{By dividing by a fraction, we multiply by its reciprocal.}\\\\=\dfrac{13}{3}\cdot\left(-\dfrac{6}{5}\right)\qquad\text{simplify}\\\\=\dfrac{13}{3\!\!\!\!\diagup_1}\cdot\left(-\dfrac{6\!\!\!\!\diagup^2}{5}\right)=-\dfrac{13\cdot2}{1\cdot5}=-\dfrac{26}{5}=-\dfrac{25+1}{5}=-5\dfrac{1}{5}[/tex]

Answer:

the answer is 13/3  ÷ ( - 5/6 )  my luv :)

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Step-by-step explanation:

Polynomial Or Not a polynomial?

1) x4+3x3−5x2−7x+20
2) x3−2x2+x−12
3) x2+3x5−6x+12x3
4) x−3−x−2−6x−1+84x√3−x√−20
5) 4x√3−x√−20
6) 5x3−1x2+8x−40

Select "P" for Polynomial and Select "NP" for Not a Polynomial when answering

Answers

1,2,3 is a Polynomial. Because its able to be solved. 4,5,6 isn't a polynomial Because the exponent has 20 and or 40 so it wont be solved. Hope I Can Help!!

i need help with this problem even though it is easy.

what is 12 / 14

Answers

The answer is 6/7 or 0.857142. Hope that helps.
6/7 is the answer. Just divide each term (num and denom) by 2. If you want the answer in decimal, divide 6 by 7

you and four friends go to johnny rockets. you all split the bill equally. each person share was $6.50. how much was the original bill. let a represent the amount of the original bill

Answers

The original bill was 32.50 because 6.50 x 5 = 32.50

The amount of the original bill at johnny rockets was $32.50.

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Let a represent the total bill.

You and four friends split the bill equally. each person share was $6.50. Hence:

a / 5 = 6.50

a = 32.5

The amount of the original bill at johnny rockets was $32.50.

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I need lots of help and I really need it

Answers

Hi there! I can help you! So, 7/24 is less than 1/2 a day, because 1/2 is equivalent to 12/24 and 7/24 is less than 12/24. To find out how much less it is, let’s do subtraction.
12/24 - 7/24 = 5/24. 7/24 is less than half a day by 5/24.

alex is thinking of a doubles fact. the sum is greater than the sum of 7+7 but less than the sum of 8+9. what fact is alex thinking of?

Answers

it is 16 cuz doubles fact is the same number added to the same number, so 8+8 will get u 16

Need help on my homework so if somebody could at least help me

Answers

No, if this were to be the same ratio, there would be 114 gold beads on the second piece of jewelry.

84/14=6
6*19=114

The twenty-six coins are all dollars and quarters, and they add up to seventeen dollars in value. How many dollars and how many quarters are there?

Answers

d +q = 26

d=26-q

1d +0.25q = 17

1(26-q) +0.25q = 17

26 -q +0.25q = 17

26-0.75q = 17

-0.75q = -9

q = -9 / -0.75 = 12

 12 quarters and 14 dollars


check 12 * 0.25 = 3

3+14 = 17

jason bought 5 movie tickets and a bag of popcorn. Jeremy bought 2 movie tickets. They spend $54 total. If the popcorn cost $5 how much did each movie ticket cost?

Answers

$7 because if you take $54, and subtract 5. You get 49, and 49 divided by the seven tickets is gonna be $7
The answer would be 7 because if you take 54$ minus the 5 dollars from the bag of popcorn and then divide the total number of tickets by the answer you will get seven. 54-5=49 49/7=7. Brainliest Answer plz.

Find the take-home percent of the gross pay: net pay $453.10, gross pay$734

50%

16%

162%

62%

Answers

453.10/734 = .617% * 100 = 61.7% --> 62%

D. 62%

Answer:

Option D. 62%

Step-by-step explanation:

Net pay = $453.10

Gross pay = $734.00

We have to find the take-home percent of the gross pay.

We will divide net pay by gross pay and multiply by 100.

Percent of the gross pay =  [tex]\frac{453.10}{734}\times 100[/tex]

                                         = 0.617302452 × 100

                                         = 61.73 ≈ 62%

The take-home percent of the gross pay would be 62%.

Which pair represents equivalent ratios? 2/3 or 9/15

Answers

2/3. I think this is right. 

Marcus earns $10.75 per hour working at a sporting goods store. How much money would he earn if he worked 15 hours

Answers

Hello! To find out how much money Marcus earned, all you have to do is multiply the amount made per hour by the amount of time he worked. 10.75 * 15 = 161.25. There. Marcus would earn $161.25 if he worked 15 hours.
Hello Jasmine202! (I love your name!)

In order to solve this question, you have to multiply 10.75 x 15. Which equals to 161.25. 

I hope this helps you! -Wajiha

Describe the similarities and differences between a rhombus, square , and rectangle.

Answers

the similarities are they are all quadrilaterals. the differences are a rectangle has two different sets of equal side, a square sides are all right angles all the same size, and a rhombus has opposite equal acute angles.

Count by ones from 368 to 500. Change for a larger unit when necessary.
377? 1 ten 1 hundred ——ones ——tens

Answers

We can figure out how many numbers there are from 368 to 500 by subtracting.

500 - 368 = 132

Now, we need to get it in word form. This can be done by looking at the place value of each number.. So your answer would be:

1 hundred, 3 tens, and 2 ones.

Use the simple interest formula to find the ending balance.

$1500 at 7% for 1.5 years. 13 points

Answers

i = prt
where i = interest, p = principal, r = interest rate, t = time

i = $1500 * 0.07 * 1.5

i = $157.5

Dallison cooked a 5-pound roast for supper. What is the estimated mass in grams

Answers

Estimated mass in grams is 2240 grams 

23 decreased by the product of 44 and an unknown number is 199. What is the value of the unknown number.?

Answers

23-4x=19
-23. -23
-4x. =. -4
——. ——
-4. -4
X. =. 1
So you write out your equation, which is going to be 23-44x=199. Subtract 23 from both sides and get -44x=176. Divide both sides by -44 and get x=-4.

Which ordered pairs lie on the graph of the exponential function f(x)=4(5)^2x

select each correct answer:

(-1,4/25)

(0,0)

(1,4)

(2,2500)

Answers

The ordered pairs [tex]\left(-1, \frac{4}{25}\right)[/tex] and [tex](2,2500)[/tex] lie on the graph of the exponential function.

The quickest approach consists in evaluating the function at each value of [tex]x[/tex] to determine if the resulting value of [tex]y[/tex] coincide with the value given in statement.

x = -1

[tex]f(-1) = 4\cdot 5^{2\cdot (-1)}[/tex]

[tex]f(-1) = \frac{4}{25}[/tex]

The resulting value coincides with the value given in statement.

x = 0

[tex]f(0) = 4\cdot 5^{2\cdot (0)}[/tex]

[tex]f(0) = 4[/tex]

The resulting value does not coincide with the value given in statement.

x = 1

[tex]f(1) = 4\cdot 5^{2\cdot (1)}[/tex]

[tex]f(1) = 100[/tex]

The resulting value does not coincide with the value given in statement.

x = 2

[tex]f(2) = 4\cdot 5^{2\cdot (2)}[/tex]

[tex]f(2) = 2500[/tex]

The resulting value coincides with the value given in statement.

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The ordered pairs (-1, 4/25) and (2, 2500) lie on the graph of the exponential function f(x) = 4 × (5)^(2x), while (0, 0) and (1, 4) do not.

To determine which ordered pairs lie on the graph of the exponential function f(x) = 4 × (5)^(2x), we can substitute the given x-values into the function and check if the resulting y-values match the given coordinates.

For the point (-1, 4/25):

f(-1) = 4 × (5)^(2(-1)) = 4 × 1/25 = 4/25

This matches the given coordinate, so (-1, 4/25) is on the graph.

For the point (0, 0):

f(0) = 4 × (5)^(2 × 0) = 4 × 1 = 4

This doesn't match the given coordinate, so (0, 0) is not on the graph.

For the point (1, 4):

f(1) = 4 × (5)^(2 × 1) = 4 × 25 = 100

This doesn't match the given coordinate, so (1, 4) is not on the graph.

For the point (2, 2500):

f(2) = 4 × (5)^(2 × 2) = 4 × 625 = 2500

This matches the given coordinate, so (2, 2500) is on the graph.

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A builder uses squares to lay out various projects. Write two equations. The first equation should express the area of the square (a) as a function of the length (l) of a side. The second should express the volume of a cube (v) as a function of the length (s) of a side.

Answers

Area as a function of length can be written as

f(l) = l^2

And volume of cube can be expressed as a function of side s as,

f(s) = s^3

Answer:

The area of the square:

a = l²

The volume of a cube:

v = s³

I need to know all of these

Answers

1.) 5
2.) 2
3.) u - 17
4.) 7
5.) x + 6
I hope this helps love! :)
1 ) 10 - 5 = 5
2)  14 / 7 = 2
3)  u - 17
4) 1/2 (14) = 7
5) x + 6

What polynomial has roots of −6, 1, and 4?

Answers

The answer is c.

If you have a root (a), it can also be written as (x-a).

(x+6),(x-1),(x-4)

Multiply all of them together to get the equation

(x+6)(x-1)(x-4)=

(x2-x+6x-6)(x-4)=

(x2+5x-6)(x-4)=

(x3+5x2-6x-4x2-20x+24)=

x3+x2-26x+24

To find a polynomial with given roots −6, 1, and 4, we create factors (x + 6), (x - 1), and (x - 4). Multiplying these factors, we get the polynomial x3 - 5x2 - 21x + 24.

Finding the Polynomial with Given Roots

To find a polynomial with roots of −6, 1, and 4, we need to create factors that each set to zero at these roots. A polynomial is a product of its factors, and a root is a solution to the equation where the polynomial is equal to zero. The factors corresponding to the roots −6, 1, and 4 are (x + 6), (x - 1), and (x - 4) respectively. Multiplying these factors gives us the polynomial:

(x + 6)(x - 1)(x - 4) = x3 - (1 + 4)x2 + (4 - 1 - 24)x + (6 x 1 x 4)

Let's expand and simplify:

x3 - 5x2 - 21x + 24

Therefore, the polynomial with roots of
−6, 1, and 4 is x3 - 5x2 - 21x + 24.

yesterday Bethany sent 60 text message she said that 15% of those messages or to her best friend how many text messages did Bethany sent to her friend yesterday

Answers

Bethany had sent to her friend yesterday 15 messages.

Answer:

15 texts

Step-by-step explanation:

One foot is equivalent to 30.48 centimeters . Write this value as a mixed number in simplest form. PLEASE HELP!!!

Answers

30.48 = 30 48/100

Now to make this into simplest form you need to find a number that goes into both 48 and 100 evenly

We will use 4 to start with

48 / 4 = 12
100 / 4 = 25

No other number can go into both 12 and 25 evenly so we know that it's as simple as it gets


Answer: 30 12/25



What are the domain and range of the function?

X Y
-2 -8
-1 -1
0 0
1 1
2 8
3 27

Answers:
A.
Domain: {0, 1, 2, 3, 8, 27}; Range: {–8, –2, –1}
B.
Domain: {–2, –1, 0, 1, 2, 3}; Range: {–8, –1, 0, 1, 8, 27}
C.
Domain: {–2, –1, 0, 1, 8, 27}; Range: {–8, –1, 0, 1, 2, 3}
D.
Domain: {–8, –1, 0, 1, 8, 27}; Range: {–2, –1, 0, 1, 2, 3}

Answers

the answer would be B

What is the least common denominator (LCD) for these fractions? 2/7 and 9/10

Answers

Rewriting input as fractions if necessary:
2/7, 9/10

For the denominators (7, 10) the least common multiple (LCM) is 70.

Therefore, the least common denominator (LCD) is 70.

Rewriting the original inputs as equivalent fractions with the LCD:
20/70, 63/70

The required least common denominator for the fraction is 70.

Given that,
To determine the least common denominator for the fractions 2/7 and 9/10.

What is the least common denominator?

The least common denominator has defined the factor that is least common among the factors of the denominator is called the least common denominator.

What is the greatest common factor?

The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.

Here,

For the fraction, 2 / 7 and 9 / 10
the denominators are 7 and 10
Now lowest common multiple of 7 and 10 is given as ,
7 * 10 = 70

Thus, the required least common denominator for the fraction is 70.

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Travis and Paula went to lunch. Travis ordered a sandwich for $7.50, and Paula ordered a burger for $5.25. after lunch they left a %15 percent tip for their waiter. how much money did the spend together?

Answers

First, you would need to determine how much they spent, not including tax.
$7.50 + $5.25 = $12.75

Next, you would need to create an equation for this problem.
($12.75 x 0.15) + $12.75

Now, all you would have to do is solve it.
($12.75 x 0.15) + $12.75 = $14.6625

They spent $14.6625 in total.

I hope this helps!

A forest ranger can see a distance of 12 miles from a fire tower how many square miles can he see

Answers

he see a circle, so you need to find the area.
A = π * r²
A = π * 12²
A =  3.14 * 144 =

A = 452.16 miles²

The distance between R and T on the coordinate grid is ___ units. (Input whole numbers only.)

Image of a coordinate grid with point R R located at negative 30, 10 and point T located at 15, 10.

Answers

use the distance formula : sqrt[(-30-15)^2+(10-10)^2]

the distance between the R and the T is


4 units


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