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Furkat [3]
3 years ago
13

The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day, she counts 15 s

eats and 22 wheels. The equation representing the total number of seats is u + b = 15 where u is the number of unicycles and b is the number of bicycles.Select the equation representing the number of wheels .
A. 2u + b = 22
B. 2u + b = 15
C. u + 2b = 22
D. u + 2b = 15
Mathematics
2 answers:
Sphinxa [80]3 years ago
7 0
The correct answer is c u+2b=22
Slav-nsk [51]3 years ago
4 0
The best answer is C.

u+2b=22
Unicycles have one wheel and bicycles have two, so the coefficient of 2 should go before the variable representing each bike.
It should equal 22 because 15 represents the total number of seats and not wheels.
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Solving Rational equations. LCD method. Show work. Image attached.
posledela

(k-2)(k-6)=k^2-2k-6k+12=k^2-8k+12

So in order to get all the fractions to have a common denominator, we need to multiply \dfrac k{k-2} by \dfrac{k-6}{k-6}, and \dfrac1{k-6} by \dfrac{k-2}{k-2}:

\dfrac k{k-2}\cdot\dfrac{k-6}{k-6}=\dfrac{k(k-6)}{(k-2)(k-6)}=\dfrac{k^2-6k}{k^2-8k+12}

\dfrac1{k-6}\cdot\dfrac{k-2}{k-2}=\dfrac{k-2}{(k-2)(k-6)}=\dfrac{k-2}{k^2-8k+12}

Now,

\dfrac4{k^2-8k+12}=\dfrac{(k^2-6k)+(k-2)}{k^2-8k+12}

As long as k\neq2 and k\neq6 (which we can't have because otherwise k^2-8k+12=0), we can cancel k^2-8k+12 in the denominators on both sides:

4=(k^2-6k)+(k-2)

4=k^2-5k-2

0=k^2-5k-6

We can factorize the right side:

0=(k-6)(k+1)

which tells us that k=6 and k=-1 are solutions.

4 0
4 years ago
Brian invests £1900 into his bank account.
Nat2105 [25]

Answer:

£2585.64

Step-by-step explanation:

FV=PV(1+i)^t

Which means we have

1900(1+.045)^7

1900(1.045)^7

2585.64

8 0
3 years ago
I need help please I do not know what to do I need help
julsineya [31]

Answer:

22/29

Step-by-step explanation:

Add up all the eight grade student that participated in this survey which is 29.

Then add all the eight grade students that do not play guitar which is 22. So 22/29 is the amount of students that play an instrument other than a guitar in fraction form.

Hopefully you got the correct answer. Let me know if you got it wrong.

7 0
3 years ago
Simplify.<br><br> (2f+5)2<br> lllllllllllllllllllllllllll
Yuki888 [10]

Answer:

Step-by-step explanation:

I think 4f + 10

4 0
3 years ago
Read 2 more answers
What is the length of ED
STALIN [3.7K]

Answer:

ED ≈ 2.6 units

Step-by-step explanation:

Using the Sine rule in Δ DEF

\frac{FD}{sin115} = \frac{ED}{sin20}

\frac{6.95}{sin115} = \frac{ED}{sin20} ( cross- multiply )

ED sin115° = 6.95 sin20° ( divide both sides by sin115° )

ED = \frac{6.95sin20}{sin115} ≈ 2.6 ( to the nearest tenth )

4 0
3 years ago
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