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
dolphi86 [110]
3 years ago
13

Ethan has $620 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a

new bicycle for $427.57. He buys 4 bicycle reflectors for $11.38 each and a pair of bike gloves for $31.41. He plans to spend some or all of the money he has left to buy new biking outfits for $57.75 each. Write and solve an inequality which can be used to determine oo, the number of outfits Ethan can purchase while staying within his budget.
Mathematics
1 answer:
garri49 [273]3 years ago
6 0

Answer: 620≥ 427.57+ 11.38(4)+ (31.41) +57.75x

Step-by-step explanation:

So our limit is the 620$ that he has to spend. We know for a fact that the bike costs about 427.57 dollars. 4  $11.38 reflectors are purchased as well as gloves for 31.41.  Now however many outfits he can purchase cannot exceed or go over his money limit of 620 so the variable (x) represents how many outfits he can buy without going over.

You might be interested in
Divide. Round your answer to the nearest tenth.
nika2105 [10]
The answer to your question is. 103.2
3 0
2 years ago
Raul’s grandfather is Miguel, and Raul’s sister is Paula. Raul’s age is the same as his grandfather’s age minus 60 times the age
Lostsunrise [7]

Answer:   The answer is x = 65 - 60y.


Step-by-step explanation:  Given that Miguel is the grandfather of Raul and Paula is Raul's sister.

Now, let 'x' years be the age of Raul and 'y' years be the age of Raul's sister (Paula).

Also, given is the following information -

Raul's age = Grandfather's age - 60 × sister's age.

Since the age of Miguel, Raul's grandfather is 65 years, so we can write the following equation to find Paula's age

x=65-60\times y\\\\\Rightarrow 60y=65-x\\\\\Rightarrow y=\dfrac{65-x}{60}.

Thus, we can find Paula's age (y) using the equation

y=\dfrac{65-x}{60},

where 'x' is the age of Raul.



6 0
3 years ago
Which of the following is the additive identity of 5+2i
Alex17521 [72]

Answer:

Can you take a picture of the question so i could help!

Step-by-step explanation:

7 0
3 years ago
For the functions f(x)=2x^2+3x+9 and g(x)=−3x+10 find (f⋅g)(x) and (f⋅g)(1)
pashok25 [27]

Step-by-step explanation:

f(x)=2x²+3x+9

g(x) = - 3x + 10

In order to find (f⋅g)(1) first find (f⋅g)(x)

To find (f⋅g)(x) substitute g(x) into f(x) , that's for every x in f (x) replace it by g (x)

We have

(f⋅g)(x) = 2( - 3x + 10)² + 3(- 3x + 10) + 9

Expand

(f⋅g)(x) = 2( 9x² - 60x + 100) - 9x + 30 + 9

= 18x² - 120x + 200 - 9x + 30 + 9

Group like terms

(f⋅g)(x) = 18x² - 120x - 9x + 200 + 30 + 9

(f⋅g)(x) = 18x² - 129x + 239

To find (f⋅g)(1) substitute 1 into (f⋅g)(x)

That's

(f⋅g)(1) = 18(1)² - 129(1) + 239

= 18 - 129 + 239

We have the final answer as

<h3>(f⋅g)(1) = 128</h3>

Hope this helps you

3 0
3 years ago
X^2-8x+10=-4 quadratic equation written in standard form
ASHA 777 [7]
Rewriting the formula in standard form would be x^2-8x+14=0
3 0
2 years ago
Other questions:
  • HELP EXPERTS AND GENIUSES PLS HELP
    6·1 answer
  • Presley is organizing the school book sale. Each stall will have 40 books on the shelf and 2 boxes of books with b books inside.
    5·1 answer
  • Two cats, Tom and Bob, caught together 42 mice in three days. Each day, Tom caught twice as many mice as in the previous day, wh
    14·1 answer
  • A can of tuna has a shape similar to the shape of a large water take the can of tuna has a diameter of 3 inches and a height of
    15·2 answers
  • A 20 foot ladder rests against a building 15 feet from the floor. How far does the ladder extend from the base of the wall? What
    10·1 answer
  • There were 56 packages in a delivery truck.3/4 of the packages have been delivered. How many packages were delivered?
    9·1 answer
  • In 10 minutes,a heart can beat 700 times.At this rate,in how many minutes will a heart beat 140 times? At what rate can. a heart
    15·1 answer
  • A nickel and a quarter are tossed once. What is the probability that both lands on tails? show work
    7·1 answer
  • The price of a watch was increased by 20% to £198<br> What was the price before the increase?
    6·2 answers
  • - 5 represents 5 minutes before a concert starts.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!