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
marusya05 [52]
3 years ago
11

Elizabeth writes down: One multiple of 13; and Two different factors of 77. Elizabeth adds up her three numbers. Her answer is g

reater than fifty but less than sixty. What three numbers could Elizabeth have written down?​
Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0

Answer:

7, 11, 39 OR -26, 1, 77;

Step-by-step explanation:

Mumble. Let's call the first number 13k, which is obviously a multiple of 13.

The factor of 77 are easy to find. It's either 77 and 1, or 11 and 7.

Now two cases. If we consider negative multiples of 13 (ie, -39 is -3 times 13) we can use the first pair (77 and 1, who sum up to 78, and start taking 13 from it as many times as we need to get to our interval.

1st pass: 78-13 = 65 out

2nd pass: 65-13 = 52 in

3rd pass : 52 - 13 = 39 out

So a possible triplet is 77, 1 and -26.

Case two: we aren't allowed to take negative numbers, and 77 and 1 will bring out of our range already. Let's stick to 11 and 7, who sum up to 18. Again, let's keep adding 13 as many times as we need

1st pass: 18+13 = 31, no good

2nd pass: 31+13 = 44, out again

3rd pass: 44+13= 57, we're good!

4th pass: 57+13 = 70, too far.

So another possible triplet is 7, 11, 39.

The moment you allow the product of the second and third number to be rationals will open a whole new can of worm that isn't any close to be interesting or fun to explore.

You might be interested in
How to find the value of x in degrees HELP
Marta_Voda [28]

Answer: X= 16

Step-by-step explanation:

7 0
3 years ago
F(x)=-9x^2-2x and g(x)=-3x^2+6x-9, find (f-g)(x) and (f-g)(-4)
Alona [7]

Answer:

(f - g)(x)= - 6 {x}^{2} - 8x + 9

(f - g)(-4!)= - 55

Step-by-step explanation:

f(x) =  - 9 {x}^{2}  - 2x,  \:  \: g(x) =  - 3 {x}^{2}  + 6x - 9 \\ (f - g)(x) = f(x)  - g(x) \\  = - 9 {x}^{2}  - 2x - (- 3 {x}^{2}  + 6x - 9) \\  =  - 9 {x}^{2}  - 2x  + 3 {x}^{2}   -  6x  +  9 \\    \purple{ \boxed{ \bold{(f - g)(x)= - 6 {x}^{2}  - 8x + 9}}} \\ (f - g)( - 4)= - 6 {( -4 )}^{2}  - 8( - 4) + 9 \\  =  - 6 \times 16 + 32 + 9 \\  =  - 96 + 41 \\ \red{ \boxed{ \bold{(f - g)( - 4)= - 55}}}

6 0
3 years ago
The ratio of boys to girls in a class is 5:3. There are 32 students in the class. How many students are boys?
yan [13]

Answer: There are 20 boys

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How do you make 'a' the subject of the formula: ab - cd = ac
xxTIMURxx [149]
First bring all terms in 'a' to the left side of the formula by subtracting ac from both sides

ab - ac - cd = ac - ac 
ab - ac - cd = 0
now add cd to both sides
ab - ac -cd + cd = cd
ab - ac = cd
now factor the left side by taking out the 'a' 
a(b-c) = cd
now divide both sides by (b-c)
a = cd / (b-c)
done

3 0
3 years ago
The table shows the number of students in a school who like rap and/or hip-hop: Like Rap Do Not Like Rap Total Like Hip-Hop 35 8
Brums [2.3K]

Answer:

35 like rap 25 dont like rap

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • obesity: The National Center for Health Statistics conducted the National Health Interview Survey (NHIS) for 27,787 U.S. civilia
    13·1 answer
  • Find the value of each expression using the given information.
    5·1 answer
  • Find the mean of each set of data. 12,8,6,4,10,1
    9·2 answers
  • What is the length of the unlabeled side? A- 5 in B- 7 in C- 16 in D- 25 in
    15·2 answers
  • The radius of a sphere and of a cylinder are the same. The diameter of the sphere and the height of the cylinder are also the sa
    13·1 answer
  • Can you please help with this question
    7·1 answer
  • Which choice is NOT a way to find 9 ÷ 4?
    14·1 answer
  • How many solutions does the following equation haves? -3x+9-2x=-12-5x
    6·1 answer
  • Jess owns 8 acres of land. She wants to divide it into lots of 25 of an acre.Use the drop-down menus to write an equation she ca
    14·2 answers
  • (08.01 mc) sue wants to know how many families in her small neighborhood of 50 homes would volunteer to help at a neighborhood a
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!