1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
koban [17]
2 years ago
5

On a particular day, the wind added 4 miles per hour to Alfonso’s rate when he was cycling with the wind and subtracted 4 miles

per hour from his rate on his return trip. Alfonso found that in the same amount of time he could cycle 68 miles with the wind, he could go only 30 miles against the wind. What is his normal bicycling speed with no wind?
Mathematics
1 answer:
Greeley [361]2 years ago
8 0

d = r · t ⇒ t = d/r

going

t = 54/(r + 4)

coming

t = 30/(r - 4)

54/(r + 4) = 30/(r - 4) times are equal

54(r - 4) = 30(r + 4) product means/extremes

54r - 216 = 30r + 120 distribute

24r - 216 = 120 subtract 30r from both sides

24r = 336 add 216 to both sides

r = 14 divide both sides by 24

Alfonso bikes at 24 mph.

You might be interested in
HELP IVE BEEN STRUGGLING FOR THE PAST 15 MIN PLEASEEEEE
joja [24]

<u>Answer:</u>

c=  -1/2

<u>Step-by-step explanation:</u>

Let's solve your equation step-by-step.

4 /3  = −6c − 5/ 3

Step 1: Simplify both sides of the equation.

4 /3  =−6c +  −5 /3

Step 2: Flip the equation.

−6c +  −5 /3  =  4/3

Step 3: Add 5/3 to both sides.

−6c +  −5 /3  +  5 /3  = 4/3  +  5 /3  −6c

=3

Step 4: Divide both sides by -6.

−6c  −6   =  3 − 6 c =  −1 /2

4 0
3 years ago
Read 2 more answers
g A shopping center includes a grocery store and a drug store. One%E2%80%8B afternoon, a total of 200 people visited the shoppin
QveST [7]

Answer:

a) 179 people shopped at the grocery store or the drug store.

b) 21 people shopped at neither the grocery store nor the drug store

Step-by-step explanation:

I am going to treat these events as Venn sets.

I am going to say that:

Set A: Shopped at the grocery store

Set B: Shoped at the drug store.

121 shopped at the grocery store:

This means that A = 121

91 shopped at the drug store:

This means that B = 91

33 shopped at both businesses.

This means that A \cap B = 33

a) How many people shopped at the grocery store or the drug store?

This is

A \cup B = A + B - (A \cap B)

With the values given in the exercise.

A \cup B = A + B - (A \cap B) = 121 + 91 - 33 = 179

179 people shopped at the grocery store or the drug store.

b) How many people shopped at neither the grocery store nor the drug store?

179 of 200 shopped in at least one. So 200 - 179 = 21 shopped at neither.

21 people shopped at neither the grocery store nor the drug store

8 0
2 years ago
manav drives from his home to the nearest metro station at an average speed of 40 kmph. from the station, he boards a train that
julia-pushkina [17]

Answer:

24 km

Step-by-step explanation:

4 0
1 year ago
Matthew bought snacks for soccer team. He bought a bag of apple slices for $5.65, and he bought a 12 pack of Gatorade bottles. T
agasfer [191]

Answer:

6.48/12=B

Step-by-step explanation:

B=6.48

6.48/12=0.54

Each Gatorade bottle costs 54 cents.

5 0
3 years ago
Read 2 more answers
How many arrangements can be made using 2 letters of the word HYPERBOLAS if no letter is to be used more than once?
alisha [4.7K]

Answer:

90 arrangements

Step-by-step explanation:

Since there are no repititions of letters, there are unique  10 letters in total.

THe number of arrangements would be 2 permutation 10. We need the formula for permutation. That is:

nPr=\frac{n!}{(n-r)!}\\

Now, n = 10 [total] and r is 2, so we have:

nPr=\frac{n!}{(n-r)!}\\\\_{10}P_{2}=\frac{10!}{(10-2)!}\\=\frac{10!}{8!}\\=\frac{10*9*8!}{8!}\\=10*9\\=90

So, there can be 90 arrangements

3 0
3 years ago
Other questions:
  • The housing market has recovered slowly from the economic crisis of 2008.​ Recently, in one large​ community, realtors randomly
    11·1 answer
  • Find an equivalent function for the following: <br><br> f(x) = 3(2)4x
    8·1 answer
  • 2 Points<br> Which of the following is (are) the solution) to (x+8)=1?
    7·1 answer
  • Marge bought a computer for $699 on the installment plan. The terms of the plan were a down payment of $100, then payments of $5
    7·1 answer
  • Help meeeeeeeeeeeeeeeeeeeeeeee
    9·1 answer
  • What is the value of h in the figure below?
    12·2 answers
  • 2) Jamar buy a puppy from the Pet Store for $550 and the sales tax is 7%. What is the total price?
    14·1 answer
  • Which data set does the line plot represent? *
    11·1 answer
  • Find x:<br> (4x^2-25)^2-9(2x-5)^2=0
    15·1 answer
  • I need help with this math problem for delta math and im not good at it
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!