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
Snowcat [4.5K]
3 years ago
13

The expression 53(1+x) represents the total cost of a meal including the tip. What do the different parts of the expression repr

esent? Drag the parts of the expression into the boxes to match each description.
Mathematics
2 answers:
Iteru [2.4K]3 years ago
8 0

⇒The expression which represents the total cost of a meal including the tip

                    =53×(1+x)

 Using Distributive property of Multiplication with respect to Addition

                  =53+53 x

          =53 +53 \times \frac{100x}{100}

                                        --------------------------------------(1)

If p% is the amount of tip given ,and if A is the Actual Bill , then it can be written as

       = A +A×p%-------------(2)

Equating (1) and (2)

A+A\times \frac{p}{100}=53+53 \times \frac{100x}{100}\\\\A=53\\\\ \frac{p}{100}= \frac{100x}{100}\\\\p=100x

Total Cost of Meal =$53

Amount used for tip=$ 100x

lawyer [7]3 years ago
7 0
53(1 + x)

the 53 is the cost of the meal without the tax

the x is gonna be the percentage of the tip u want to leave...in decimal form

so lets say u are going to leave a 5% tip.....5% = 0.05
ur equation would be 53(1 + 0.05) = 53(1.05) = 55.65...cost of meal and tip
You might be interested in
Explain in words how to find -4 times -1.5 on a number line in words
borishaifa [10]
Since both numbers are negative we know that the product will be positive and when something is time 1.5 that is the same as a 50% increase so that is adding half of the original number (4) so the final answer is 6 (4+(half of 4))=6
5 0
3 years ago
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe
kherson [118]

Answer:

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}  

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

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

And on this case we have that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)

We don't have a prior estimation for the proportion \hat p so we can use 0.5 as an approximation for this case  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

5 0
3 years ago
What is the slope of the line shown?
earnstyle [38]

Answer:

The slope is 45.

Step-by-step explanation:

Using the slope formula by two points:

m=(y2-y1)/(x2-x1)

m=(210-120)/(4-2)

m=45

7 0
2 years ago
Read 2 more answers
What are the roots of the polynomial equation x^2-x72=0
Tom [10]
I hope this helps you



x^2-x-72=0


x -9


x +8



(x-9)(x+8)=0



x=9



x= -8
8 0
3 years ago
Need help fast Yesterday's afternoon temperature was 21°F. It plunged overnight to -3°F. How many degrees did the temperature dr
Nezavi [6.7K]

The Answer to all the questions are D C D D B

6 0
3 years ago
Other questions:
  • LS
    8·1 answer
  • May someone help me please
    8·1 answer
  • Which properties justify the steps taken to solve the system?
    12·2 answers
  • What is the vertical shift for the absolute value function <br> F(x)=9[x+1]+2
    5·1 answer
  • A savings account was opened and not touched for 4
    13·1 answer
  • Which of the following expressions is equal to -3x^2-12?
    11·1 answer
  • Scott runs on a daily basis. He runs 3.2 miles every day except Saturday, when he runs 7 miles. How many miles will he jog in th
    10·1 answer
  • Aarav and Bahir are running laps around a 400-meter circular track. They started together and ran in the same direction. Each of
    5·1 answer
  • Find the volume of the sphere.
    6·1 answer
  • How many logitudes would rotate 2 hours?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!