The local pre-school ordered all new bicycles and tricycles for the new school year. Each bicycle and tricycle is shipped in its own box. Oddly, the manufacturer shipped all of the wheels in a separate box. If there are 16 boxes of bicycles/tricycles total and 45 wheels total, how many tricycles were ordered?please don't just put an answer i need an explanation too

Answers

Answer 1

Answer: there are 16 boxes total, and 45 wheels total.

we know that each bicycle/tricycle is in it's own box.
i'm going to use the variable "b" for bicycle and "t" for tricycle

b + t = 16
(because b is the amount of bicycles and t is the amount of tricycles)

now we know that there are 45 wheels total.
there are 2 wheels for a bicycle and 3 wheels for a tricycle

2b + 3t = 45

now we have a system of equations
b + t = 16
2b + 3t = 45

You can solve this multiple ways, but I'm going to use substitution.
b + t = 16 can also be written as b = 16 - t (if you subtract both sides by t)
then we can substitute this b = 16 - t into the other equations

2(16 - t) + 3t = 45

32 - 2t + 3t = 45
32 + t = 45
t = 13

now you can plug that back into the original equations

b + 13 = 16
b = 3

2b + 3(13) = 45
2b + 39 = 45
2b = 6
b = 3

If you have any more questions, feel free to ask!

Related Questions

Why might a person need an emergency plan?
The resquest of the y'+6y=e^4t, y(0)=2
Alessandro wrote the quadratic equation –6 = x2 + 4x – 1 in standard form. What is the value of c in his new equation?
After 1 year, a bank account contains $7,746.90. After 2 years, the same account contains $7,901.84. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)
Evaluate each expression for the given values of the variables. SHOW ALL WORK. -5(x+2y)+15(x+2y)x=7y=-7

A seamstress was hired to make band uniforms for Hinsdale High school. The seamstress bought 148 yards of material. There were 16 students in the concert band and 20 students in the symphonic band. How much material did she have for each uniform?A. 36/9 yards
B. 37/9 yards
C. 35/9 yards
D. 38/9 yards

Answers

The seamstress had 37/9 yards of material for each uniform.

What is division?

In mathematics, division is a process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made.

How to solve it?

Given that total amount of material = 148 yards

number of students in the concert band = 16

number of students in the symphonic band = 20

Total number of students = number of students in the concert band + number of students in the symphonic band

= 16 + 20 = 36

For 36 students, there are 148 yards of material.

Then for 1 student, there are 148/36 = 37/9 yards of material.

Therefore the seamstress had 37/9 yards of material for each uniform. So, option B is correct.

Learn more about division here -

brainly.com/question/14692277

#SPJ2

Answer:

No estoy seguro, intenta preguntarle a tu profesor

Step-by-step explanation:

A cube is a three dimensional solid with 6 square faces find the total surface area of a cube whose edges are each 5 feet in length

Answers

surface area of a cube = 6s^2
= 6(5)^2 = 6 x 25 = 150 square feet

if the population of a country increases at a rate of 1.5% annually, and it’s current population is 430,000, how many years will it take for the population to triple

Answers

Hi,
$a_0=430000\na_1=a_0*1.15\na_2=a_1*1.15=a_0*1.15^2\n...\na_n=a_0*1.15^n\na_n \geq 3*a_0\n1.15^n \geq 3\nn*ln(1.15) \geq ln(3)\nn \geq (ln(3))/(ln(1.15)) \nn \geq 7.86059688...\n\n\boxed{n \geq 8}\n$

Round 32.697 to the nearest hundredths