answer.
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
laiz
8 days ago
6

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes.

Each small box can hold 30 books and each large box can hold 55 books. There were 2 more large boxes sent than small boxes, which altogether can hold 280 books. Determine the number of small boxes sent and the number of large boxes sent.
Mathematics
2 answers:
Leona [11.2K]8 days ago
7 0

Response:

2 small boxes sent and 4 large boxes sent.

Step-by-step breakdown:

Let S represent the number of small boxes and L denote the large boxes

It’s stated that 2 more large boxes were sent compared to small boxes, hence

L = S + 2

Additionally, since each small box accommodates 30 books and each large box holds 55 books, combined they account for 280 books altogether.

30S + 55L = 280

Now, we can solve these equations concurrently

30S + 55(S + 2) = 280

85S + 110 = 280

85S = 280 - 110

85S = 170

S = 170/85

S = 2

Given L = S + 2

L = 2 + 2 = 4

The total number of small boxes sent is 2, and the large boxes sent are 4.

tester [10.8K]8 days ago
6 0

Response:

4 large boxes and 2 small boxes

Step-by-step breakdown:

4 X 55 = 220 books

2 X 30 = 60 books

Total =   280 books

You might be interested in
luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice . she gives 5/8 cup of juice to mags . how much is left in lu
AnnZ [10993]
3/4 is equal to 6/8, and 3/8 plus 6/8 is 9/8. 9/8 minus 5/8 is 4/8 or 1/2.
8 0
12 days ago
Read 2 more answers
Of 162 students honored at an academic awards banquet, 48 won awards for mathematics and 78 won awards for English. There are 14
tester [10823]

Answer: 56/81

Step-by-step explanation:

refer to the attached document

3 0
1 month ago
Jun and deron are applying for summer jobs at a local restaurant. after interviewing them, the restaurant owner says, "the proba
tester [10823]
<span>As the restaurant owner, The likelihood of hiring Jun is 0.7 => p(J) The likelihood of hiring Deron stands at 0.4 => p(D) The chance of hiring at least one of them is 0.9 => p(J or D) We can formulate the probability equation: p(J or D) = p(J) + p(D) - p(J and D) => 0.9 = 0.7 + 0.4 - p(J and D) p(J and D) = 1.1 - 0.9 = 0.2 Thus, the probability that both Jun and Deron are hired is 0.2.</span>
6 0
15 days ago
Solve the equation.<br> -x+8+ 3x = x - 6<br><br><br> A х = -18<br> B x= -14<br> C x= 2<br> D x= 4
AnnZ [10993]
By solving the equation -x+8+3x=x-6, we rearrange it to 2x+8=x-6. This leads to the simplification 2x-x=-6-8, yielding x=-14. The correct answer is letter B.
4 0
11 days ago
An ANOVA procedure is applied to data obtained from 6 samples where each sample contains 20 observations. The degrees of freedom
PIT_PIT [11116]

Answer:

C. 5 degrees of freedom for the numerator and 114 for the denominator

Step-by-step explanation:

Analysis of variance (ANOVA) is utilized to examine the variations among group means within a sample.

The sum of squares represents the cumulative square of variation, which refers to the deviation of each individual value from the grand mean.

Assuming there are 6 groups and each group contains j=1,\dots,20 individuals, the variation can be calculated using the following formulas:

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2

This also has the property

SST=SS_{between}+SS_{within}

The numerator's degrees of freedom in this case is given by df_{num}=df_{within}=k-1=6-1=5 where k = 6 represents the number of groups.

The denominator's degrees of freedom in this scenario is indicated by df_{den}=df_{between}=N-K=6*20-6=114.

The total degrees of freedom would be df=N-1=6*20 -1 =119.

Thus, the appropriate answer would be 5 degrees of freedom for the numerator and 119 degrees of freedom for the denominator.

C. 5 numerator and 114 denominator degrees of freedom

8 0
1 month ago
Other questions:
  • Fill in the blanks. a. A​ relative-frequency distribution is to a variable as a​ __________ distribution is to a random variable
    5·1 answer
  • The employees of a company were surveyed on questions regarding their educational background (college degree or no college degre
    13·1 answer
  • Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x
    5·1 answer
  • Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y
    12·1 answer
  • A department store sells logo shirts at an original price of $20. Every month that a shirt doesn’t sell, the store reduces the s
    10·2 answers
  • True or False? A circle could be circumscribed about the quadrilateral below.
    11·2 answers
  • if you are adding two fractions that are both greater than 1/2 what must be true about the sum? Give three examples to support y
    10·1 answer
  • Find the volume of the following solid figure. Use = 3.14. V = 4/3r3. A sphere has a radius of 3.5 inches. Volume (to the neares
    8·2 answers
  • What z score in a normal distribution has 33% of all score above it? ap stats quiz 2.2a answers?
    8·1 answer
  • the high school marching band rehearses with either 6 or 10 members in every line.What is the smallest number of people who can
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!