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
ra1l [238]
3 years ago
6

A business shipped 106 packages one day. Customers are charged 4.50 for each standard delivery and 7.50 for each express deliver

y
Mathematics
1 answer:
zhuklara [117]3 years ago
3 0

The question is incomplete:

A business shipped 106 packages one day. Customers are charged 4.50 for each standard delivery and 7.50 for each express delivery. Total shipping charges for the day were $600.00. How many of each kind of package were shipped?

Answer:

The business  shipped 65 standard delivery packages and 41 express delivery packages.

Step-by-step explanation:

Since the business shipped 106 packages one day you can say that:

x+y=106, where:

x is the number of standard delivery packages

y is the number of express delivery packages

Also, you can say that the result of multiplying the price per each type of package for its amount and adding those would be equal to the total shipping charges for the day, which is:

4.50x+7.50y=600

So, you have the following equations:

x+y=106 (1)

4.50x+7.50y=600 (2)

Now, you can solve for x in (1):

x=106-y (3)

Then, you can replace (3) in (2) and solve for y:

4.50(106-y)+7.50y=600

477-4.50y+7.50y=600

3y=600-477

3y=123

y=123/3

y=41

Finally, you can replace the value of y in (3) to be able to find the value of x:

x=106-41

x=65

According to this, the answer is that the business  shipped 65 standard delivery packages and 41 express delivery packages.

You might be interested in
f a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8%, can we use the Normal a
Troyanec [42]

Answer:

Probability of at least 50 obese individuals in our sample is 0.92364 .

Step-by-step explanation:

We are given that a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8% .

Let X = Number of obese individuals

Firstly, X ~ Binom(n=300,p=0.198)

For approximating binomial distribution into normal distribution, firstly we have to calculate \mu and \sigma^{2} .

Mean of Normal distribution, \mu = n * p = 300 * 0.198 = 59.4

Variance of Normal distribution,\sigma^{2} = n * p * (1-p) = 300 *0.198 *0.802 = 47.64

So, now X ~ N(\mu = 59.4 , \sigma^{2} = 47.64)

The standard normal z score distribution is given by;

                     Z = \frac{X-\mu}{\sigma} ~ N(0,1)

So, probability of at least 50 obese individuals in our sample = P(X >= 50)

  P(X >= 50) = P(X > 49.5)  {using continuity correction}

  P(X > 49.5) = P( \frac{X-\mu}{\sigma} > \frac{49.5 - 59.4}{6.9} ) = P(Z > -1.43) = P(Z < 1.43) = 0.92364

Therefore, required probability is 0.92364 .

8 0
3 years ago
In the 7th grade, 150 of the students are attending the dance. If this is 62.5% of the entire grade, how many 7th graders are th
JulijaS [17]

Answer:

244 students.

Step-by-step explanation:

Okay, so. We know 150 people of the 7th grade is coming and 62.5% is the entire of the 7th graders coming. We would multiply.

150 * 62.5% = 93.75

We would round it up. It is over 5, so it would be 94 students. Then we would add

150 + 94 = 244

There are 244 students in 7th grade.

3 0
3 years ago
I need help please!!!
seraphim [82]

Answer: number 1

Step-by-step explanation:

That is how you would write the ratio word for word.

- hope this helped!

7 0
3 years ago
To find the quotient of 4 ÷ 1 8 , count the number of in four whole circles.
SSSSS [86.1K]

Answer:

what are u asking ?? I'm confused

5 0
3 years ago
Read 2 more answers
In the auditorium there are 7 Red chairs and 43 blue chairs what's the ratio of number of red chairs to the total number of chai
Mandarinka [93]

Answer:

7 to 50

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • This question is a fair question: “Which do you think is the most common age group of people who like pop music?” true or false
    13·1 answer
  • How do I figure out what 5550/1000
    5·2 answers
  • each month for 7 months, samuel mows 3 lawns. how many more lawns does he need to mow before he has mowed 29 lawns?
    8·1 answer
  • Convert 5,283 meters to kilometers
    6·2 answers
  • Is a D a failing grade?
    12·1 answer
  • What are the domain and range of the function f(x)=square root x-7 +9?
    8·2 answers
  • Jamall Rolls A six sided die and spins A four color spinner. What is the possibility that he rolls a 4 and spins a yellow?
    6·1 answer
  • Avery deposited $1,250 in a new savings account. Determine which amount is closest to the balance of the account at the end of 3
    9·1 answer
  • What is a expression that is equivalent to 4(6x+ x)
    9·2 answers
  • The length of a chord is 22 cm and that chord is 5 cm from the center of the circle. What is the length of the diameter ?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!