A ski resorts offers private lessons to their customers. Big time ski mountain charges $5 per hour plus $50 insurance. Powder hills charges $10 per hour plus $30 insurance. How many hours would make the cost of lessons the same for each resort?

Answers

Answer 1

Answer:

4 hours      

Step-by-step explanation:

Big time ski mountain charges $5 per hour plus $50 insurance.

Powder hills charges $10 per hour plus $30 insurance.

Let the number of hours be x.

For big time ski mountain, it means the total cost of x hours of lesson is:

[tex]B=50+5(x)\\B=50+5x[/tex]

For powder hills , it means the total cost of x hours of lesson is:

[tex]P=30+10(x)\\P=30+10x\\[/tex]

We  need to equate both equations to find the time that the costs would be the same.

That is :

[tex]50+5x=30+10x[/tex]

Collect like terms:

[tex]10x-5=50-30\\5x=20[/tex]

Divide through by 5:

[tex]x=\frac{20}{5} \\x=4 hours[/tex]

It would take 4 hours for the cost of the lessons to be the same.

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Related Questions

What is 60% of 125? Enter your answer in the box.

Answers

Answer:

75

explanation: because i looked it up

Which of the following correctly simplifies the expression
?

Answers

Answer:

4) 81/16

Step-by-step explanation:

Just solve the equation,

{3^2.5^0/4}^2

(9×1/4)^2

(81/16)

Hope it helps!

Answer:

4

Step-by-step explanation:

Can someone help me plz I will mark brainliest

Answers

Answer:

1 solution

Step-by-step explanation:

There is exactly one solution because when both lines are graphed, they intersect at only one point, (1.5,-1).

Answer:

Either no solutions or infinite..

Step-by-step explanation:

I am not exactly sure, but I am taking a guess. IF this equation requires a definite answer, then no solutions. Otherwise, if x or y can equal to any number, then, infinite numbers. I would recommend to look at what other people say before reading this and taking a guess.

For all values of x,
f(x) = x/5 + 3
and
g(x) = 10x2 + 5
Work out fg(x).
Give your answer in the form ax2 + b where a and b are integers.

Answers

Answer:

2[tex]x^{2}[/tex]+4

I would give a step by step explanation but it keeps saying I'm typing inappropriate words so message me if u need

Hence, The value of fg(x) in the form of ax2+b is 2x2+4.

What is composition of functions?

Composition of function is an operation in which we combine two or more function to generate a single function. In this question the function g is places in the place of x.

How to solve?

Given f(x)=x/5 +3

g(x)=10[tex]x^{2}[/tex] + 5

the composition of function ,

fg(x) = g(x)/5 + 3

fg(x) = (10[tex]x^{2}[/tex] + 5)/5 + 3

       = 2[tex]x^{2}[/tex]+ 1 + 3

       = 2[tex]x^{2}[/tex] + 4

hence, fg(x)= 2[tex]x^{2}[/tex]+4 where a=2 and b=4

learn more about composition of functions

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A fisherman can row upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far did the fisherman row if the entire trip took 2 ​hours?

Answers

I think the answer maybe be 10 miles. If he rowed upstream, that is four, and it took only one hour. Downstream he went 6 mph. We dont know how long he spent each way, so it might be cut evenly in half. Saying he spent one hour too and fro, the answer would be ten because all we have to do is add 4 and 6. This may be completely wrong, but there isn’t that much context.

PLEASE HURRY THIS IS 100 POINTS FOR THE END OF THE SEMESTER GRADE!! I WILL GIVE BRAINLIEST!

Answers

Answer: in explanation...

Step-by-step explanation:

14 | 8

12 | 9

0  | 15

2  | 14

worth a lot of points! please help and explain your answer tysm

Answers

Answer:

option c is incorrect

because the value of tan B will be perpendicular/base

so tan B=5/12.

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Write a compound inequality for the following graph. ​

Answers

Answer:

[tex]x = 0 \leqslant 0.25[/tex]

Bart found 20 quadrilaterals in his classroom. He made a Venn diagram using the properties of the quadrilaterals, comparing those with four equal side lengths (E) and those with four right angles (R). Circles E and R overlap. Circle E contains 3, circle R contains 6, and the intersection contains 2. Number 9 is outside of the circles. Given that a randomly chosen quadrilateral has four right angles, what is the probability that the quadrilateral also has four equal side lengths? Express your answer in percent form, rounded to the nearest whole percent. 25% 33% 40% 67%

Answers

Answer:

A. 25%

Step-by-step explanation:

The probability that the quadrilateral has four equal side lengths, given that the quadrilateral has four right angles is 25%

What are quadrilaterals?

Quadrilaterals are shapes that have four sides; these four sides may or may not be:

ParallelCongruent

Check below on how to determine the probability

From the question, we have the following parameters:

n(E) = 5n(R) = 8n(E and R) = 2None = 9n(U) = 20

The probability that the quadrilateral has four equal side lengths, given that the quadrilateral has four right angles is calculated using:

P(E | R) = n(E and R)/n(R)

This gives

P(E | R) = 2/8

Express as percentage

P(E | R) = 25%

Hence, the probability is 25%

Read more about probability at:

https://brainly.com/question/251701

 Kiba and Akamura went out to eat. Their bill was $ 59.76. If Kiba leaves a 7% tip and 8% tax, how much did he pay in total?

Answers

Answer:

Step-by-step explanation:

(tip)4.183+(tax)4.7808=8.9638 (this is the tip and tax)

59.76+8.9638=68.7238

You can include the thousandth but some school don't use that so you could put 4.781 for tax and 8.964 for tip and tax sum and for the total of everything 68.724

Bob borrows $5.50 from his friends three times a week. Write an equation to repress the change in Bob's money this week

Answers

Answer:

Equation: $5.5+$12.75

Step-by-step explanation:

Eric wants to buy a camera that is 145.00$ but he has cupon of 30% off how much would he have to pay.

Answers

Answer:

101.5

Step-by-step explanation:

Answer:

101.5

Step-by-step explanation:

145 times .7 = 101.5

Have a great day!!

Answers or correcting please

Answers

Answer:

Looks right to me! Great work!

Simplify the expression:
6u - 5u - u

Answers

Answer:

Your correct answer is ZERO.

Step-by-step explanation:

6u - 5u = u

u - u = 0

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There are about 3×10power 11 stars in our galaxy and about 100 billion galaxies in the observable universe. Suppose every galaxy has as many stars as ours. How many stars are in the observable universe? Write in scientific notation.

Answers

(3 x 10 ^ 11) x (1 x 10 ^11) = 3 x 10^22

Jordan is starting to save $150 to buy a new cell phone. In December, he saved $5. In January, he plans twice as much as he did in December, for a total savings of $15 ($5 + $10). If Jordan continues to save twice as much he saved from the previous month, in which month will his total savings will be enough to buy the phone.

Answers

Answer: At the Month May Jordan as able to get enough money to buy the phone.

Work:

December:$5

January:$10

February:$20

March:$40

April:$80

May:$160 <--Answer

____________________________________________________________In the problem Jordan saves $5 at December, then at January Jordan saved $10 which is twice as December's saved money amount. February, Jordan saved $20, which is twice as January's saved money amount. March is $40, which is twice as February's saved money amount. For April it is $80, which is twice as March's money amount, May is $160 which is twice as April's money amount. Or another way to say this is by starting at $5. Then, keep multiplying by 2 for each month until you get $150 or more. When you do, stop at the month that gets you $150 or more. When i did this exact method, I got $160 on the Month of May. $160 is more than enough for Jordan to buy his phone. So the month May is the correct answer where Jordan can get enough money for his phone.

Answer: The fifth month; By April Jordan would have saved more than enough to buy a new phone.

Step-by-step explanation:

Dec $5

Jan $10

Feb $20

Mar $40

Apr $80

Dec + Jan = $15($5+$10)

Dec+ Jan + feb = $35($5+$10+$20=$35)

Dec+ Jan + feb + mar = $75 ($5+$10+$20+$40=$75)

Dec+ Jan + feb + mar + apr = $155

($5+$10+$20+$40+$80=$155)

Express the number 100 as a product of its prime factors.

Answers

Answer:

So, the prime factors of 100 are written as 2 x 2 × 5 x 5 or 22 x 52, where 2 and 5 are the prime numbers. It is possible to find the exact number of factors of a number 100 with the help of prime factorisation. The prime factor of the 100 is 22 x 52. The exponents in the prime factorisation are 2 and 2.

Step-by-step explanation:

Answer:

The prime factorization of 100 is 2 * 2 * 5 * 5. Using exponents, this number can also be written as 2^2 * 5^2.

Which graph represents y = StartRoot x EndRoot?

Answers

Answer:

b

Step-by-step explanation:

e2021

Answer:

Which graph represents y = [tex]\sqrt{x}[/tex]

Step-by-step explanation:

Answer B Edge 2022

Technology required. Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks.

a. Write an equation that represents the relationship between the dollar amount in her bank account and the number of weeks of saving.

b. Graph your equation using graphing technology. Mark the point on the graph that represents the amount after 3 weeks.

c. How many weeks does it take her to have $250 in her bank account? Mark this point on the graph.

Answers

The given problem is about a person named Priya who started with $50 in her bank account and deposited $20 each week for 12 weeks. We need to find out after how many weeks she will have $250 in her bank account and also plot the given data on a graph, given that technology is required.Let's solve the given problem step by step:a) We can represent Priya's bank account after n weeks as follows:$50 + $20n

This is because she started with $50 and deposited $20 each week for n weeks.Now, to graph this equation, we can use any graphing calculator or software.

For example, we can use the Desmos Graphing Calculator, which is free and available online.To plot the given data, we need to set the domain as {0, 1, 2, 3, ..., 12} (for 12 weeks), and the range as {50, 70, 90, 110, ..., 290} (according to the equation). Then we can plot the points as follows:

After plotting the points, we can connect them with a straight line to get the graph of the equation.$$$$b)

To mark the point that represents the amount after 3 weeks, we need to find the value of the equation for n = 3, which is:$50 + $20(3) = $110This means that after 3 weeks, Priya will have $110 in her bank account.

We can mark this point on the graph as follows:$$$$$c) To find out after how many weeks Priya will have $250 in her bank account, we need to solve the following equation:$50 + $20n = $250Subtracting $50 from both sides, we get:$20n = $200Dividing both sides by $20, we get:n = 10

This means that after 10 weeks, Priya will have $250 in her bank account. We can mark this point on the graph as follows:$$$$$Therefore,

we can conclude that it will take Priya 10 weeks to have $250 in her bank account, and we can represent this data on a graph using graphing technology.

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[a] Answer: y = 20x + 50

Step-by-step explanation:

    We can write a linear equation to answer this part. Priya starts with $50 and adds $20 every week. Let y be the total amount of money in the bank account and x be the number of weeks passed. We will write a slope-intercept equation, where 20 is the slope and 50 is the y-intercept.

    y = 20x + 50

[b] Answer: (3, 110)

Step-by-step explanation:

    Next, we will use a graphing calculator as asked. Here I am using Desmos Graphing Calculator, it is free to use and online. We can type in our equation above, y = 20x + 50. See attached. Since she will not have negative weeks that she deposits, and she only deposits for 12 weeks, we will add {0 ≤ x ≤ 12} to our equation when we graph.

    Since x is the number of weeks passed, 20(3) + 50 = 110, giving is the point (3, 110).

[c] Answer: 10 weeks

Step-by-step explanation:

    Now, we need to find the point where she has $250 in her bank account. Since y is the total amount of money in her bank account, we can find where y = 250 on the graph.

    This is at (10, 250), or 10 weeks.

help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

the $25 one

Step-by-step explanation:

70% of 30 is 21, so you will be paying $9.

But if you use the $25 one you will only be paying $5.

Hope this helps!! :)

Answer:

$25 coupon would be a better deal.

Step-by-step explanation:

30 * 0.70 = 21

70% of $30 is $21

So the $25 coupon will help save more money.

it is subtracing and adding linear expressions 12(−4x+8)−14(8x−12)

Answers

Answer:

Step-by-step explanation:

Was this a question or a answer because I will answer it in the comment if it is a question

98.37% as a decimal exsplain

Answers

Answer:

.9837

Step-by-step explanation:

to go from decimal to percentage, you would multiply by 100 or move the decimal point two to the right. so, to move from percentage to decimal, you would divide by 100 or move the decimal two to the left.

98.37% = .9837

Answer:

To convert from a percent to a decimal, you divide the percent # by 100 and take the % off. So therefore, 0.9837!!

Step-by-step explanation:

Hope this helps and please give me brainliest!!

What is the unit rate for cats per dog if there's 72 cats and 12 dogs

Answers

Answer:

6 dogs

Step-by-step explanation:

72 divided by 12=6

Please mark brainliset

Answer:

6:1, 6/1, or 6 to 1

Step-by-step explanation:

72/12

72/12=6

12/12=1

6/1

Find the slope of the line. Write your answer in simplest form.

Answers

Slope: (y2-y1)/(x2-x1)
Points given: (-4,1) and (1,-2)
(-2-1)/(1+4) = -3/5
Answer: the slope is -3/5

ok, ok i dont get how to solve

Answers

The answer is b,c,d,a

1) 4(0.1y + 5)

2) 0.6(3h+5)

Answers

Answer:

1) 0.4y + 20

2) 1.8h + 3

Step-by-step explanation:

1) 4(0.1y + 5) = 0.4y + 20

Multiply (4) to (0.1y) and then multiply (4) to (+5).

2) 0.6(3h + 5) = 1.8h + 3

Multiply (0.6) to (3h) and then multiply (0.6) to (+5).

Mrs. Robertson is preparing manipulatives for her math class. Each student will receive a plastic cup with 20 two-color counters. The total
number of two-color counters, c that Mrs. Robertson needs varies directly as the number of students, S.
Draw a graph showing the proportional relationship between c and s.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The line on the graph showing the number of counters (c) for s students will have a slope of 20.

Please help meeeee !!!!!!! I will mark Brianliest !!!!!!!!!!!!!

Answers

Answer:

you have to do the square root of the numbers given and minus so the answer you get that's the radical form(simplest)

What is the answer 3x>9 or 5+x<6

Answers

Answer:

2x+5(3x+4)=

Use the distributive property to multiply 5 by 3x+4.

2x+15x+20

Combine 2x and 15x to get 17x.

Step-by-step explanation:

17x is the answer

Which of the following inequalities is equivalent to 1 > x





Answers

1 is greater than or equal to x is equal to x is less than or equal to 1 (the last option)

hope this helps ;)

Answer:

The answer is D x ≤ 1

Step-by-step explanation:

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