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
Alchen [17]
3 years ago
6

Black Diamond Ski Resort charges $25 for ski rental and $10 an hour to ski. Bunny hill ski resort charges $50 for ski rental and

$5 an hour to ski.
Create an equation to determine at what point the cost of both ski slop
10x + 25 = 5x + 50
10x - 25 = 5x - 50
10x + 50 = 5x + 25
10x - 50 = 5x – 25
Mathematics
1 answer:
Vilka [71]3 years ago
6 0

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

In Black Diamond Ski

Cost of ski rental = $25

Cost to ski per hour = $10

Let the number of hours be 'x'

so, our equation becomes

10x+25

Similarly, in Bunny hill ski,

Cost of ski rental = $50

Cost to ski per hour = $5

Let the number of hours be 'x'

so, our equation becomes

5x+50

Cost of both ski shop becomes

10x+25=5x+50\\\\10x-5x=50-25\\\\5x=25\\\\x=\dfrac{25}{5}\\\\x=\$5

Hence, First option is correct.

You might be interested in
The expression 6a-14-a+7 simplifies to
Aloiza [94]
The answer to this is 5a-7
8 0
2 years ago
Read 2 more answers
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Vadim26 [7]

Answer:

We conclude that deluxe tire averages less than 50,000 miles before it needs to be replaced which means that the claim is not supported.

Step-by-step explanation:

We are given that a particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8000.

From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9800 miles.

<u><em>Let </em></u>\mu<u><em> = average miles for deluxe tires</em></u>

So, Null Hypothesis, H_0 : \mu \geq 50,000 miles   {means that deluxe tire averages at least 50,000 miles before it needs to be replaced}

Alternate Hypothesis, H_A : \mu < 50,000 miles    {means that deluxe tire averages less than 50,000 miles before it needs to be replaced}

The test statistics that will be used here is <u>One-sample z test statistics</u> as we know about population standard deviation;

                                  T.S.  = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean lifespan = 46,500 miles

            \sigma = population standard deviation = 8000 miles

            n = sample of tires = 28

So, <u><em>test statistics</em></u>  =  \frac{46,500-50,000}{\frac{8000}{\sqrt{28} } }

                               =  -2.315

The value of the test statistics is -2.315.

Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is less than the critical value of z as -2.315 < -1.6449, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that deluxe tire averages less than 50,000 miles before it needs to be replaced which means that the claim is not supported.

4 0
3 years ago
The perimeter of a triangle is 105. the lengths of all three sides are represented by three consecutive odd integers. Find the l
aev [14]
The longest side of the triangle is 37.
8 0
3 years ago
All positive real numbers less than or equal ten
Pachacha [2.7K]

Answer:

equal ten

Step-by-step explanation:

hope this helps

7 0
3 years ago
The Academic Computing Center has five trainers available in its computer labs to provide training sessions to students. Assume
kondor19780726 [428]

Answer:

87.72%

Step-by-step explanation:

Data provided in the question:

Design capacity of the system = 1900 students per semester

Effective capacity = 90% of design capacity

Actual number of students = 1500

Now,

Efficiency = [ [ Actual capacity ] ÷ [ Effective capacity ] ] × 100%

also,

Effective capacity = 90% of 1900

= 0.90 × 1900

= 1710

Efficiency = [ 1500 ÷ 1710 ] × 100%

= 0.8772 × 100%

= 87.72%

7 0
3 years ago
Other questions:
  • Jen picked 3/4 of a gallon of strawberries in half an hour. If she keeps picking strawberries at the same rate, how many gallons
    10·1 answer
  • If 40% of a given number is 8, then what is 15% of the given number?
    9·1 answer
  • If y=20 when x=8, whats the value of x when y=-2
    5·1 answer
  • Two circles have the same radius. Complete the description for whether the combined area of the two circles is the same as the a
    8·1 answer
  • There are 5,280 feet in one mile. How many feet are there in 6 miles?
    5·1 answer
  • NEED HELP ASAP!!
    6·1 answer
  • PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! I CANNOT RETAKE THIS!!
    6·1 answer
  • What is the answer to [(x²+4x)-2]²
    11·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%20%7Ba%7D%5E%7B2%7D%20%20%7Ba%7D%5E%7B4%7D%20%7Ba%7D%5E%7B5%7D%20answer%20%5C%3A%20a40%20%
    14·1 answer
  • A grade has 81 girls and 72 boys. The grade is split into groups that have the same ratio of girls to boys as the whole grade. H
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!