answer.
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
snow_lady [41]
2 years ago
7

Dante has been shopping for a new bike. He found two bikes that he likes equally-one is sold at Mike's Bikes for $300, and the o

ther is sold at Cycle Center for $275.
Dante has a coupon for 25% off any bike at Mike's Bikes. However, the manufacturer of the bike at Cycle Center has included a $40 rebate after the purchase of the bike.

Where should Dante purchase his mountain bike?
(I would appreciate if you show your work)
Mathematics
1 answer:
Galina-37 [17]2 years ago
7 0
Hello there! So, let's do this a bit at a time. Mike's Bikes sells a bike for $300, but gives a 25% discount for any bike in the store. To find out how much he would pay for the bike, multiply 300 by 75% (0.75). This is because you are still paying 75% of the original price for that bike. When you do, you get 225. That's $225 for the bike at Mike's Bikes. Now, the one at Cycle Center sells a bike for $275, but gives a rebate of $40 after purchasing the bike. A rebate is basically a refund: you get money paid back to you. In this case, we would subtract 40 from 275, because you're basically getting paid back some of what you did pay. 275 - 40 is 235. That's $235 for the bike at Cycle Center. I'll write the prices of the bikes out to make it easier to read.

Mike's Bikes: $225
Cycle Center: $235

Okay. so when you look at the prices for the mountain bikes, you see that the bike at Mike's Bikes is $10 cheaper than the bike at Cycle Center. Dante should purchase his mountain bike at Mike's Bikes, because he will pay less money there. The Cycle Center does give $40 back, but Mike's Bikes has the bike that costs less. 225 < 235.
You might be interested in
The mean yearly rainfall in Sydney, Australia, is about 134 mm and the standard deviation is about 66 mm ("Annual maximums of,"
svetlana [45]

Answer:

At least 202.44 mm in the top 15%.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 134, \sigma = 66

How many yearly mm of rainfall would there be in the top 15%?

At least X mm.

X is the 100-15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.

Z = \frac{X - \mu}{\sigma}

1.037 = \frac{X - 134}{66}

X - 134 = 66*1.037

X = 202.44

At least 202.44 mm in the top 15%.

5 0
2 years ago
Lauren would like to find the midpoint of a line segment that has endpoints at (–0.5, 3) and (4, 7.5). Which statements are true
Bond [772]

Answer:

Lauren could solve 7.5 + 3 / 2 to find the y-intercept.

Lauren could solve (1/2)(4+0.5) to find the x-intercept.

Finding the midpoint is equivalent to partitioning a line segment a 1:1 ratio.

Step-by-step explanation:


7 0
2 years ago
Read 2 more answers
Estimate 18.50 x 2.6
marysya [2.9K]

Answer:

57

Step-by-step explanation:

18.5= 19

8 0
2 years ago
Read 2 more answers
In a certain month, Oscar sells 6 cars more than Jackie. If together they sell 30 cars, how many cars did Jackie sell?
diamong [38]

Answer:

Jackie sold 12 cars.

Step-by-step explanation:

If we call the number of cars Oscar sold O, and the number of cars Jackie sold J, we can say the following:

O = J + 6

As Oscar sold 6 cars more than Jackie.

Together, they sold 30 cars.

O + J = 30

Since we know that:

O = J + 6

... we can put this into our previous equation.

O + J = 30

(J + 6) + J = 30

J + J + 6 = 30

2 * J + 6 = 30

Subtract 6 from both sides:

2 * J = 24

Divide both sides by 2:

J = 24 / 2

J = 12

Jackie sold 12 cars.

8 0
2 years ago
Read 2 more answers
Miyoko's goal is to earn more than \$950$950dollar sign, 950 this week. She earns \$250$250dollar sign, 250 for every day she wo
GrogVix [38]

$250 c+ $ 180 g > $ 950

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

As a cryptographer (c), Miyoko earns per day = $ 250

As a geologist (g) , Miyoko earns per day = $ 180

So the equation comes to be $250 c+ $ 180 g = $ 950

The equation can be rewritten to find c as, (950-180 g) / 250

The equation can be rewritten to find g as, (950 - 250 c) / 180

Plugin different values of c and g in the above 2 equations, we can find that ,

To achieve the goal, Miyoko requires to be a geologist for 3 days and crpytographist for 2 days.

5 0
2 years ago
Other questions:
  • PLEASE HELP ASAP, CORRECT ANSWER GETS BRAINLIEST
    12·2 answers
  • In 1603, German astronomer Christoph Scheiner began to copy and scale diagrams using an instrument that came to be known as the
    11·1 answer
  • he graph of f(x) = |x| is stretched by a factor of 0.3 and translated down 4 units. Which statement about the domain and range o
    14·2 answers
  • The number of users of a cell tower in a small, developing town increased by a factor of 1.5 every year from 2010 to 2019. The f
    8·2 answers
  • Triangles ΔABC ≅ ΔBAD so that C and D lie in the opposite semi-planes of segment AB. Prove that segment CD bisects segment AD.
    14·1 answer
  • The graph shows a vertical translation of y = RootIndex 3 StartRoot x EndRoot.
    9·2 answers
  • 2.82 For married couples living in a certain suburb, the probability that the husband will vote on a bond referendum is 0.21, th
    14·1 answer
  • Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components. From the shipment you take
    12·1 answer
  • If tan f° = two over one and the measure of segment YW is 8 units, what is the measure of segment XW? triangle XYW in which angl
    5·2 answers
  • You randomly choose an undergraduate student from a large state university. Let E be the event that the student is male, let F b
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!