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
raketka [301]
3 years ago
12

Nagaraj has a​ party-length sandwich that is 45 inches long and is to be cut into three pieces. The middle piece will be 3 inche

s longer than the shortest​ piece, and the shortest piece will be 9 inches shorter than the longest piece. How long will the pieces​ be?
The length of the shortest piece is
_________ inches. The length of the medium piece is
_____________inches. The length of the longest piece is
__________ inches.
Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Answer:

The length of the shortest piece is  11 inches. The length of the medium piece is   14 inches. The length of the longest piece is  20 inches.

Step-by-step explanation:

Ok, so we have a long sandwich of 45 inches that will be divided in 3, giving us the following formula (x = shortest, y = medium, z=longest):

x + y + z = 45

Then we have middle piece (y) is 3 inches longer than the smallest (x):

y = x + 3

And the shortest  piece (x) is 9 inches shorter than  the longest (z):

x = z - 9 or z = x + 9

Let's place the found values of y and z in the first equation:

x + y + z = 45

x + (x + 3) + (x + 9) = 45

3x + 12 = 45

3x = 33

x = 11

So, x = 11, y = 14 and z = 20.  (11 + 14 + 20 = 45).

You might be interested in
I'm begging you please please help please please ASAP please please help please please ASAP please please help please please ASA
Tresset [83]

Answer:

8

Step-by-step explanation:

Hello,

This is related to ratios and proportions. We have a 12 foot tree that casts a 6 foot shadow, so now we are trying to figure out how tall is a tree that casts a 4 foot shadow.

We can set an easier method to get this.

12 = 6 (this means the 12 foot tree casts a 6 foot shadow)

x = 4 (this means how tall is the tree to cast a 4 foot shadow, the unknown height of the tree is denoted as x)

Then, we can cross multiply.

48 = 6x

Solve for x, which is the unknown height we are trying to figure out.

x = 8

8 0
3 years ago
What is the sum of 36(6 - 4) and 6(6 – 8)?
Dmitry_Shevchenko [17]

Answer:

Your answer would be 60

Step-by-step explanation:

=36(6 - 4) 6(6 – 8)

= 36(2) + 6 (-2)

= 72 + (-12)

= 72 - 12

= 60

hope it helps!

6 0
3 years ago
I need help with all of them
olga nikolaevna [1]
7. Is 45
10. is 15
8.32
6 0
2 years ago
Read 2 more answers
Please help.
Ad libitum [116K]

Answer:  

In what article are you most likely to find the sentence “The coma streamed out until it formed a tail of dust and light”?

“Comets in the Sky”

“How to Punctuate Sentences”

“Water Under the Bridge”

“Medical Histories”

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
I need help asap plz
Lostsunrise [7]

Answer:

A

Step-by-step explanation:

The constant of proportionality is the ratio between the two proportional variables in a directly proportional relationship. In this case, the variables are x and y.

To find the constant of proportionality, all we have to do is divide any value of y by its corresponding value of x. Let's take the values in the first row of the table. We know that x=2 and y=12, so the constant of proportionality is \frac{y}{x}=\frac{12}{2} =6. Hope this helps!

7 0
2 years ago
Other questions:
  • mags wants to know what the hottest hairstyle Trend in is in our town what is the best group to survey of to find this informati
    7·2 answers
  • For the polynomial 8x3y2 – x?y2 + 3xy2 – 4y3 to be fully simplified and written in standard form, the missing exponent on the
    10·2 answers
  • Patient A’s dose of a certain medicine is twice the dose of Patient B. Together the two patients receive 72 milligrams of the me
    13·1 answer
  • What is this question
    6·1 answer
  • A square has a perimeter of 14.4 in.<br> What is the length of each of the sides?
    5·2 answers
  • Interest.
    6·1 answer
  • In the figure, what is the value of z?<br> a. 2.9<br> b. 5.6<br> c. 6<br> d 8.75
    15·1 answer
  • 你請佢食生果返嚟五百四十蚊小費十八個percent應該係幾多錢544
    13·1 answer
  • Does anyone know this i will give brainliest
    9·1 answer
  • Fill in the blanks -.-
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!