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
vivado [14]
3 years ago
6

Cheryl Falkowski has a collection of silver spoons from all over the world. She finds that she can arrange her spoons in sets of

7 with 1 left​ over, sets of 8 with 7 left​ over, or sets of 15 with 3 left over. If Cheryl has fewer than 200​ spoons, how many are​ there?
Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0
Since she can arrange it in sets
let N=total number of spoons so
N mod7 1 ---->7a+1=n where a is a natural num
N mod 8 7---->8b+7=n where b is a natural num
N mod 15 3----->15c+3=n where c is a natural n
for the first set {8,15,22,29,36,43,50,57,65,71....}
for the second set {15,23,31,39,47,55,63,71,79..}
for the third set {18,33,48,63,78,....}
and find them manually but what is easier is to solve them using algebra and logic (college level)
N=840m+183 where m is zero or a postive integer
so the only N below 200 is 183
let us check
183/7=26 R 1
183/8=22 R 7
183/15=12 R 3
which means our soultion is correct
You might be interested in
Which pair of triangles is congruent by asa?​
ladessa [460]
I believe it would be D.
6 0
3 years ago
Read 2 more answers
I need help please someone please!
Svetach [21]

Answer:it the 3rd one

Step-by-step explanation:

I done this

8 0
3 years ago
A dairy scientist is testing a new feed additive. She chooses 13 cows at random from a large population of cows. She randomly as
mina [271]

Answer:

Step-by-step explanation:

Given that a dairy scientist is testing a new feed additive. She chooses 13 cows at random from a large population of cows. She randomly assigns nold = 8 to get the old diet, and nnew = 5 to get the new diet including the additive.

From the data given we get the following

           N       Mean      StDev     SE Mean

Sample   1    8           43       5.1824 1.832

Sample   2   5           73     21.0832 9.429

df = 11

Std dev for difference = 13.3689

a) Yes the two are independent.  The two sets of cows randomly chosen are definitely independent. Paired means equal number should be there and homogeneous conditions should be maintained.

b) Enclosed

c) Comparison of two means is the test recommended here.  Because independent samples are used.\

d) Test statistic= -3.1233

(because of unequal variances we use that method)

95% confidence interval =  ( -56.6676 , -3.3324 )

p value <0.05 our alpha

So reject null hypothesis.

The two means are statistically significantly different.

3 0
3 years ago
Rewrite 2 7/9 as a improper fraction
Alborosie
The answer would be 25/9 as a improper fraction
6 0
3 years ago
What is the y-intercept?
storchak [24]

Answer: The y-intercept is an (x,y) point with x=0

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • If $85 is put into an account that gets 8.5% and I add $15.00 per year, how much will I have in 8 years
    5·1 answer
  • How many different ways can the first 10 letters of the alphabet be arranged?
    12·1 answer
  • Please hurryyyyyyyyy!!!!!!!!!!
    6·1 answer
  • Write a slope-intercept equation for a line that passes through ( - (4,5) and (4, - 11).
    9·1 answer
  • Write a function rule for the given graph. Identify the value of y when x=12.
    14·1 answer
  • Suppose you read 1000 pages a month. How long would take you to finish reading 1million pages? ​
    5·1 answer
  • The population of a town is 132,00. The population increases 4% a year. What will be the population in 8 years?
    15·1 answer
  • Between what two consecutive integers is <img src="https://tex.z-dn.net/?f=%5Csqrt182" id="TexFormula1" title="\sqrt182" alt="\s
    13·1 answer
  • Which of the following is a segment congruent to GJ¯¯¯¯¯ ?
    14·1 answer
  • Maya wants to build a bookshelf with a top, a bottom, and two shelves inside. She wants the height of the entire bookshelf to be
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!