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 linear function represents the line given by the point slope equation y - 2 - 4(x - 3)? O RX) - 6x 1 O Rx) = ax - 6 O P(x)
Sever21 [200]

Answer:

Use the given functions to set up and simplify O R X . y − 2 − 4 ( x − 3 ) = − 4 x + y + 10 O R X = − 4 x + y + 10

Step-by-step explanation:

4 0
2 years ago
A circle's ___ is twice as long ad it's radius
chubhunter [2.5K]
A circles DIAMETER is twice as long as its radius

Hope this helps you :)
5 0
3 years ago
Read 2 more answers
The probability distribution for a
Tpy6a [65]

Answer:

P(x \le -3) =0.30

Step-by-step explanation:

Given

The attached probability distribution of x

Required

Find P(x \le -3)

To do this, we consider all values of x less than or equal to-3.

So, we have:

P(x \le -3) =P(x=-5) + P(x = -3)

From the table:

P(x=-5) = 0.17

P(x = -3) = 0.13

So, the equation becomes

P(x \le -3) =P(x=-5) + P(x = -3)

P(x \le -3) =0.17 + 0.13

P(x \le -3) =0.30

3 0
3 years ago
Help please :) ill give brainliest to correct answer.
aliina [53]

The answer is Answer:

y = -1 x + 8

8 0
3 years ago
2. G.GPE.7 Consider ∆ABC below. What is the perimeter of ∆ABC? * A. 16.9 B. 12.9 C. 18.6 D. 17.4
dsp73

Answer:B

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Please help me with the questions circled in pink
    7·1 answer
  • Factor 3x^2y^2 − 2xy^2 − 8y^2. Show your work.
    8·1 answer
  • Which of the following options is an equivalent function to f(x) = 2(5)^2x?
    6·2 answers
  • F(x) = 2/3 |x-4| need help on homework
    5·1 answer
  • If while your baking the recipe calls for 1/2 of batter for every 1/8 cup of water what is the the unit in that recipe?
    10·1 answer
  • What is 26 divided by 7=
    9·2 answers
  • Find a number such that five more than one half the number is three times the number​
    5·1 answer
  • Rewrite (3x + 2)(x - 3) in standard form
    12·1 answer
  • A knife is 3x the cost of a spoon9 spoons and 12 knives cost £82.80Work out the cost of 1 knife
    10·1 answer
  • (a) The angle pitch of a roof is safest when measuring between 18° – 27°. According to these guidelines, is the roof pictured in
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!