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
DENIUS [597]
3 years ago
8

Shades R Us charges $20 per day to rent a lounge chair and $15 per day to rent an umbrella. Dan and Lisa paid a total of $245 to

rent a lounge chair and umbrella each during their vacation. Lisa rented the chair and umbrella for 1 day less than Dan. The following equation represents this situation, 20x+15x+20(x-1) = 245. What is the total amount Dan paid to rent the lounge chair and umbrella during his vacation
Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Answer:

$151.88 costs to Dan algebraic form

$245/2 = $122.50+20+15 = 157.5 is the answer though.

Step-by-step explanation:

35x+20(x-1)

35x + (20x -1)

35x +20x -1

35x -20x-20

x= 53/11

53/11 = 4.81

4.81 x 20 = $96.20 on chairs

4.81 x 15 = 72.15 on umbrella

96+72 = 168.35

245-168.35 = 76.65

76.65 + 20 = 96.65

Because we subtracted to get 168.35 we have the difference of $15 which is the difference of what he and she paid we half this amount = $7.50 half the 0.45 additional found on Dans $96.65 = $0.22 and find $7.72 balance to add to his 96.20

Added together his costs out of 245 was $104.37+ 76.65 = $181.20

Costs of umbrella = 76.65/2 = 39.325

181.20 -29.325=151.87 rounded up to 151.87

As x = 53/11 the decimal of this is 4.81 = x

You might be interested in
1. P, Q and R are three buildings. A car began its journey at P, drove to Q, then to R and returned to P. The bearing of Q from
juin [17]

Statement Problem: P, Q and R are three buildings. A car began its journey at P, drove to Q, then to R and returned to P. The bearing of Q from P is 058° and R is due east of Q. PQ = 114 km and QR = 70 km. ( Draw a clearly labelled diagram to represent the above information.

Solution:

8 0
1 year ago
For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to les
kaheart [24]

Answer:

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

The margin of error for this case is given by:

ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

And replacing we got:

ME = 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.0259

And replacing into the confidence interval formula we got:

0.52 - 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.4941

0.52 + 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.5459

And the 95% confidence interval would be given (0.4941;0.5459).

Step-by-step explanation:

Data given and notation  

n=1000 represent the random sample taken    

\hat p=0.52 estimated proportion of of U.S. employers were likely to require higher employee contributions for health care coverage

\alpha=0.05 represent the significance level (no given, but is assumed)    

Solution to the problem

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

The margin of error for this case is given by:

ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

And replacing we got:

ME = 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.0259

And replacing into the confidence interval formula we got:

0.52 - 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.4941

0.52 + 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.5459

And the 95% confidence interval would be given (0.4941;0.5459).

5 0
2 years ago
Given that the two triangles are congruent for which value of x are the triangles congruent?
Whitepunk [10]

Answer: 1

Since the triangles are congruent, the side lengths will also be equal.

2x - 3 = x - 2

2x - x = - 2 + 3

x = 1

So if x is 1 then the two triangles will be congruent...

Brainliest pweasee if the answer is correct! <3

5 0
3 years ago
Tim throws darts at a dartboard that has numbers one through 20 in a bull’s-eye in the middle. 10 throws a dart 50 times, and he
Lesechka [4]

Answer:

D.) 1/5

Explanation:

Experimental probability is the ratio of the number of successes to the number of trials.

In this case, success is a bulls-eye.  Tim had 10 bulls-eyes.  The total number of trials  is 50.  This makes the experimental probability 10/50, or 1/5.

6 0
3 years ago
Read 2 more answers
Somebody help me out with this one and explain how u got it I will mark u as brainiest if correct
timofeeve [1]

Answer:

C.

Step-by-step explanation: im pretty sure because if you look at Ed its 5 and then if you add the same sides twice its 10 hopefully im right

7 0
3 years ago
Other questions:
  • In 2000, the number of students enrolled at Arlington Country Day School was 823 students. In 2010, the population was approxima
    6·1 answer
  • A closed rectangular box has volume 48cm3. What are the lengths of the edges giving the minimum surface area?
    11·1 answer
  • Find the radius of each circle.<br> 17) circumference = 62.8 mi
    15·1 answer
  • a 44 miles walk has 3 checkpoints. the first one is 13 1/8 miles from the starting point . the 2nd is 20 1/4 miles from the firs
    5·1 answer
  • Pick the one with the greatest value.<br><br> 21<br> |-23|<br> |-32|<br> -32
    6·2 answers
  • Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x,y,z) so that ∫uyly∫uzlz∫uxlxdxdzdy
    14·1 answer
  • What is the value of 273 and 280
    15·1 answer
  • Please help! I will give brainliest!
    11·2 answers
  • I will gib brainliest if u help me &gt;:C
    6·1 answer
  • Somebody help me asap I’m giving brainliest!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!