You work for a small business that sells bicycles, tricycles, and tandem bikes Bicycles have one sear, two pedals, and two wheels. Tricycles have one seat, two pedals, and three wheels. Tandem bikes have two seats, four pedals, and two wheels. 1. On Monday you counted 50 tricycle wheels. How many tricycles were in the shop? Write an algebraic equation that shows the relationship between the number of wheels (w) and the number of tricycles (t). 2. On Wednesday there were no tandem bikes in the shop. There were only bicycles, and tricycles. There are a total of 24 seats and 61 wheels in the shop. How many bicycles and how many tricycles are in the shop. Show how you figured it out using algebra. 3. A month later, there are a different number of bicycles, tricycles tandem bikes in the shop. There are a total of 144 front steering handlebars, 378 pedals and 320 wheels. How many bicycles, tricycles, and tandem bikes are in the show? Explain your solution.

Answers

Answer 1

Answer:

Step-by-step explanation:

1- on Monday the number of tricycles: 51/3=17 or 48/3=16 ( can't be 50)

2-the algebraic equation is : t=w/3 ( t=tricycle, w: wheels)

3-On Wednesday: (b for bicycle and t=tricycle)

 2b+3t=61

b+t=24 ⇒ b=24-t

solve by substitution:

2(24-t)+3t=61

48-2t+3t=61

t=61-48 ⇒ t=11

solve for b=24-t

b=24-11=13

t=11, b=13

4)t: tricycles, b for bicycles, n for tandem

t+b+n=144 ( each has one handlebar)⇒ t=144-b-n

2t+2b+4n ( for the pedales)

3t+2b+2n=320 ( for wheels)

solve by matrix or substitution: substitute t in the equations:

2t+2b+4n =378

3t+2b+2n=320

2(144-b-n)+2b+4n=378 ⇒ 288-2b-2n+2b+4n=378

3(144-b-n)+2b+2n=320 ⇒432-3b-3n+2b+2n=320

                                                                                           

288-2b-2n+2b+4n=378

432-3b-3n+2b+2n=320

2n=378-288 ⇒ n=90/2=45

-b-n=320-432

-b-45=-112

-b=-112+45 ⇒ b=67

t=144-45-67= 32

b=67 , tricycle=  32  tandom= 45( answers in bold )


Related Questions

help do y’all know this! Please if u do i need the answer

Answers

9.4 × [tex]10^{2}[/tex]

1) Move the decimal point 2 times to left in the number so that number, 940 so it's between 1-10: 9.4 or 9.40

2) After we moved our decimal point to the left, the decimal count would be 12 and that we moved 2 places to the left

3) We know that the notation is a x [tex]10^{b}[/tex]

a=9.4 and 6=2

9.4 × [tex]10^{2}[/tex]=a x [tex]10^{b}[/tex]

I hope I've helped!

Answer:

9.4x10^8

Step-by-step explanation:

940 million looks like

940,000,000. in scientific notation you would move the decimal left 8 spaces

Write your answer as a polynomial or a rational fraction in simplest form ​

Answers

Answer:

- 4x^2-15x

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = - 3x^2-8x-x^2-7x = - 4x^2-15x

Look at this cube
If the side lengths are halved, then which of the following statements about its surface area will be true?

Answers

Answer:

the new surface Will be 1/4 pf the old surface

Step-by-step explanation:

because the surface with 7 in Is about 294 and with 3.5 (1/2 of 7) Is 73.5.

so 294:4 Is 73.5

excuse me for my bad English but I'm italian

10
Complete the conversion. $2 per pound = $_ per ounce (round to the nearest hundredth)

Answers

Answer:

$2 per pound = $0.125. per pound

Step-by-step explanation:

The unit of weight conversion from pound to ounce is given as follows;

1 pound weight  = 16 ounces weight

1 ounce weight = 1/16 pound weight

Therefore, whereby the cost of 1 pound weight of an item is two dollars, we have;

The cost of one ounce weight of the item will be the cost of 1 pound weight, divided by 16 and given as follows;

$2 per pound = $2/16 per pound  = $0.125. per pound

Therefore;

$2 per pound = $0.125. per pound.

Dilbert invests a total of $26,000 in two accounts paying 14% and 2% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $2,560.00

Answers

Answer:

$17,000 at 14% and $9,000 at 2%

Step-by-step explanation:

Let x = amount invested at 14%.

Let y = amount invested at 2%.

x + y = 26000

0.14x + 0.02y = 2560

     -0.02x - 0.02y = -520

(+)    0.14x + 0.02y = 2560

-------------------------------------

       0.12x              = 2040

x = 17,000

x + y = 26000

17000 + y = 26000

y = 9000

Answer: $17,000 at 14% and $9,000 at 2%

This cylinder has a radius of 4 feet and a volume of 2087 cubic feet.
What is the height of the cylinder?

Answers

Answer:

h = 41.52 feet

Step-by-step explanation:

The volume is π•radius²•height:

π•4²•h = 2087

16πh = 2087

h = 2087/16π

h ≈ 41.52 feet

Between what two consecutive integers on the number line is the graph of the sum sqrt(30) + sqrt(50)?

Answers

Answer:

sqrt(30)+sqrt(50) = 12.5482933869171364     which is between   m and n    12 and 13

Factorize no g, h, j, k, m, n​

Answers

answer =

=3a²-16ab+13b²

=3a²-(13+3)ab+13b²

=3a²-13ab-3ab+13b²

=a(3a-13b)-b(3a-b)

=(3a-13b)(a-b)

Answer:

even I got confused in question no. j

no worry rest all are solved .

all the questions are solved by middle term splitting method .

What is the value of m in the equation 1/2m - 3/4n = 16, when n = 8?

Answers

Answer: m= 44

Step-by-step explanation:

1/2m - 3/4n = 16    when n is 8  put it into the equation and solve for m.

1/2m - 3/4(8) = 16

1/2m - 6 = 16  

          +6  +6

1/2m = 22

m = 44

Answer:

44

Step-by-step explanation:

● (1/2 )× m - (3/4) × n = 16

Replace n by 8 and the fraction by decimal numbers (1/2 = 0.4 and 3/4 =0.75)

● 0.5 × m - 0.75 × 8 = 16

● 0.5m - 6 = 16

Add 6 to both sides

● 0.5 m - 6 + 6 = 16+ 6

● 0.5 m = 22

Multiply both sides by 2

● 0.5m × 2 = 22 × 2

● m = 44

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

2 QUESTIONS

Answers

Hi, Laura! ;)

The answer to the first question is 5,62.

Here is the step by step solution:

They want to know the center of a distribution. Another word for center is middle. When you have a set of numbers, you can find the middle by calculating the mean, the "average" of the data set.

1) Add all the numbers: 12,8 + 5,7 + 7,9 + 1,3 + 3,2 + 2,8 = 33,7

2) Divide the sum by the quantity of numbers, which is 6:  33,7 / 6 = 5,616

The closest number to 5,616 is 5,62.

==========================================================

Now let's answer your second question.

The correct answer is, indeed, 0,14.

How do we get to this number? Here is the step by step solution:

1) First step is to find out how many possible outcomes you have. It is the

number of raffle tickets in the box: 200.

2) Then, let's define the number of tickets that are prizes: 4 + 8 + 16 = 28.

The probability of selecting a prize ticket is the number of prize tickets divided by all the raffle tickets in the box: 28 / 200 = 0,14.

Now, let's practice Probability with another Brainly problem:

https://brainly.com/question/16447117

Good luck, Laura! :)

how many are 4 raised to 2 ???​

Answers

Answer:

[tex]\huge \boxed{16}[/tex]

Step-by-step explanation:

4 raised to 2 is 4 squared or 4 to the power of 2.

[tex]4^2 =4 \times 4 = 16[/tex]

What were Malcolm's and Ravi's maximum speeds?

Answers

Answer:

Malcom's maximum speed = 200 km/h

Ravi's maximum speed = 320 km/h

Step-by-step explanation:

Represent the maximum speed of Malcolm and Ravi with equation as follows:

Let Malcom's speed be x, and Ravi's speed by y.

The average of speed is said to be 260 km/h. An equation to represent this is: [tex] \frac{x + y}{2} = 260 [/tex]

[tex] x + y = 260*2 [/tex]

[tex] x + y = 520 [/tex] => equation 1.

We are also told that when Malcom's speed (x) is doubled it equal 80 km/hr more than Ravi's speed (y). An equation can be created for this, which is [tex] 2x = y + 80 [/tex]

[tex] 2x - y = 80 [/tex] => equation 2

Now that we have 2 equations as a system, solve for the values of x and y simultaneously.

Add both equations together to eliminate y

[tex] x + y = 520 [/tex]

[tex] 2x - y = 80 [/tex]

[tex] 3x = 600 [/tex]

[tex] x = \frac{600}{3} [/tex]

[tex] x = 200 [/tex]

Plug in the value of x into equation 1 to find y.

[tex] 200 + y = 520 [/tex]

[tex] y = 520 - 200 [/tex]

[tex] y = 320 [/tex]

Malcom's maximum speed = x = 200 km/h

Ravi's maximum speed = y = 320 km/h

Find the sum of 91.8+0.964+5.09 and correct your answer to one decimal place.

Answers

97.9
I used Socratic

Answer:

97.85

I hope this helps!

Mears Taxi charges a $ 3.95 flat rate for a ride in the cab. In addition to that, they charge $ 0.75 per mile. Katie has no more than $ 16 to spend on a ride. At most, how many miles can Katie travel without exceeding her spending limit?

Answers

Answer:

About 16 miles

The equation:

.75x+3.95

At 16 miles Katie will have spent $15.95.

Answer:

16 miles

Step-by-step explanation:

3.95 + .75m < 16

Subtract 3.95 from each side

3.95 -3.95+ .75m < 16-3.95

.75m < 12.05

Divide each side by .75

.75m/.75  < 12.05/.75

m <16.066666666

Rounding to the nearest mile

m < 16

pls help and explain. I will give brainliest

Answers

Answer:

4 2/3 hours

Step-by-step explanation:

There are 7 days in a week

2/3 of an hour per day * 7 days

2/3 *7 = 14/3 hours

Changing to a mixed number

4 2/3 hours

Answer:

4.667

Step-by-step explanation:

2/3*7=4.667 (if you need decimal notation)

If you need a mixed number:

4+2/3:-)

I hope this helps!

[tex]- RosalindCordelia[/tex]

Helpppoplplllllpppllppppppppplpppppppppp

Answers

Answer:  30

Work Shown:

tan(angle) = opposite/adjacent

tan(x) = 17/29

x = arctan(17/29)

x = 30.379 which is approximate

x = 30

Side note: arctan is the same as inverse tangent [tex]\tan^{-1}[/tex]

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 − 6x + 6? left 3 units, down 3 units right 3 units, down 3 units left 6 units, down 1 unit right 6 units, down 1 unit

Answers

Answer:

its not 1, its the second one (B)

Step-by-step explanation:

Answer:

I know I'm 1 year late but B is the correct answer choice. I just did it on edge 2021.

I'm just big brain.

find the series in which
5th term is 22/16 and 4th term is -4​

Answers

Answer:

The series is given as follows;

[tex]-\dfrac{161}{8} , \ -\dfrac{59}{4} , \ -\dfrac{75}{8}, \ -4, \ \dfrac{22}{16} ......[/tex]

Step-by-step explanation:

Assuming the series is an arithmetic progression, (AP), series, we have

The nth term of the desired series = a + (n - 1)×d

Where;

a = The first term

n = The position of the term in the series

d = The common difference

Given that the 5th term = 22/16 and the 4th term = -4, we have;

d = The difference between consecutive terms = Difference between the 5th term and the 4th term

∴ d = 22/16 - (-4) = 43/8 = 5.375

22/16 = a + (5 - 1)×5.375

∴ a = 22/16 - 4×5.375 = -20.625

The series is therefore;

[tex]-\dfrac{161}{8} , \ -\dfrac{59}{4} , \ -\dfrac{75}{8}, \ -4, \ \dfrac{22}{16} ......[/tex]

jim buys a calculator that is marked 30% off. If he paid $35, what was the original price?

Answers

Answer:

x = 50

Step-by-step explanation:

Let x be the original price.

He got 30% off

The discount is .30x

Subtract this from the original price to get the price he paid

x - .30x = price he paid

.70x = price he paid

.70x = 35

Divide each side  by .7

.70x/.7 = 35/.7

x=50

The answer is- $45.05

The perimeter of a rectangle is 40 inches. If the width is 9 inches, what is the area of the rectangle?

Answers

Answer:

99 in²

Step-by-step explanation:

Perimeter = 2(length) + 2(width)

40 = 2(length) + 2(9)

40 = 2L + 18

40 - 18 = 2l

22 = 2l

L = 11

Area = length x width

Area = 9 x 11 = 99

99 square inches

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: 360

Step-by-step explanation:

you multiply 40 and 9.

first you multiply 9 and 0 that is 0 then 9 to 4 and that is 36 so you get 360

Which ordered pair would fall in the first quadrant of the coordinate plane?
A) (3, 10)
B) (0, 0)
C) (0, 10)
D) (3, 0)

Answers

Answer: A (3,10)

Source : i made it up

please help. pls show workings ​

Answers

Answer:

≈ 10.52 cm²

Step-by-step explanation:

The unshaded area is calculated as area of square subtract area of quarter circle, thus

A = 7² - [tex]\frac{1}{4}[/tex]πr²

   = 49 - ( 0.25π × 7²)

   = 49 - (0.25π × 49)

   = 49 - 12.25π

   ≈ 10.52 cm² ( to 2 dec. places )

 

Answer:10.5cm^2

Step-by-step explanation:

Area of the square = L^2 =(7) ^2=49cm^2

Radius of quadrant = 7cm

Area of the quadrant =1/4 x πr^2

1/4 x 22/7 x (7) ^2

1/4 x 22/7 x 49

=38.5cm^2

Area of unshaded part= area of square - area of quadrant

49cm^2 - 38.5cm^2

=10.5cm ^2

Which of the following best represents the average rate at which the human hair grows (1 point)
a
0.25 inches per second
b
0.25 meters per hour
с
0.25 meter per month
d
0.25 inches per month

Answers

Answer:

D.0.25 inches per months

Step-by-step explanation:

The average rate or speed of human hair growth is about 0.25inches per month.

Express in standard form : a) 0.000000056 b) 56780000000 c) 1923.8 (will mark brainly

Answers

Answer:

Step-by-step explanation:

a) 5.6 x 10∧-8

b) 5.678 x 10∧10

c) 1.9238 x 10∧3

3 times the sum of a number and 4 is 20

Answers

Answer:

as per the statement we form an algebraic equation as

3(x+4) = 20

3x + 12 = 20

3x = 8

x = 8/3

as per my understanding that's the answer

6x^2+12x=5x-2
solve the quadratic by factoring

Answers

[tex]6x^2+12x=5x-2\\6x^2+7x+2=0\\6x^2+3x+4x+2=0\\3x(2x+1)+2(2x+1)=0\\(3x+2)(2x+1)=0\\x=-\dfrac{2}{3} \vee x=-\dfrac{1}{2}[/tex]

ndicate whether each of the following relationships is usually a direct relationship or an inverse relationship. a. A sports team's winning percentage and attendance at its home games: (Click to select) . b. Higher temperatures and sweater sales: (Click to select) . c. A person's income and how often he or she shops at discount stores: (Click to select) . d. Higher gasoline prices and miles driven in automobiles: (Click to select) .

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

The following relationships usually have a direct or inverse relationship, please indicate.

Win percentage and attendance during home games of a sports franchise are directly related.There is an inverse relationship between higher temperatures with sweater sales.An inverse link exists between a family's salary and how often he or she spends in bargain shops.There was an inverse relationship between higher gas prices and more miles traveled.

Find the value of w in the equation 3w + 15 = 60? Show
your work
. Based on your value of w, what is the value of the expression
below?
8w2 + 8w + 9
PLZ HELPPPP you’ll get all of my points ❤️

Answers

W=15

8(15)2+8(15)+9=369

Answer:

Part 1: Find w

w=15

Step-by-step explanation:

Part 1: Find w

Step 1:

3w+15=60. If this is true, then first: Subtract 15 from both sides.

Result: 3w=45

Step 2:

3w=45. If this is true, now: Divide by 3 to both sides.

Result/Answer: w=15.

Answer:

Part 2: If w=15, then what is 8w2+8w+9?

8w2+8w+9= Well I have 2 options. If you mean 8w^2+8w+9, then the answer is 14529. If you mean 16w+8w+9, then the answer is 369.

Does anyone know the answer

Answers

Answer:

It's False Because Hypotenuse will be the longest side of leg here

HELP ASAP!!!! URGENT!!! LOOK AT SCREENSHOT! Identify all points and line segments in the picture below. This image has the potential for visual bias, so there is no alternative text. Select one: a. Points: A, B Line segments: bar(AB) b. Points: A, B, C, D Line segments: bar(AB) c. Points: A, B, C, D Line segments: bar(AB), bar(BC), bar(CD), bar(AD), bar(BD), bar(AC) d. Points: A, B, C, D Line segments: bar(AB), bar(AC), bar(BD)

Answers

Answer:

the answer is D

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