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
erica [24]
3 years ago
12

Marta esta poniendo sus libros en una estantería. Le faltan 7 libros para poder poner 12 en cada estante; sin embargo, si pone 1

0 libros en cada estante, se quedan 5 libros sin poner. ¿Cuantos es antes tiene la estantería?
Mathematics
1 answer:
BigorU [14]3 years ago
3 0

Answer:

x = 6       la cantidad de estantes

y = 65    cantidad de libros

Step-by-step explanation:

LLamemos "x" la cantidad de estantes que tiene Marta, y llamaremos "y" la cantidad de libros.

La primera condición que se debe cumplir es que cuando Marta coloca 12 libros en cada estante entonces le faltan 7, esto lo expresamos así:

y  +  7  = 12*x        (1)

La segunda condición establece que si Marta coloca los libros en número de 10 por estante le quedan 5 sin colocar, luego esto en lenguaje matemático se expresa así:

y  -   5   = 10*x     (2)

Ahora hemos obtenido un sistema de dos ecuaciones con dos incógnitas que se resuelve por cualquiera de los métodos conocidos, usaremos el método de sustitución.

Despejamos   y en la primera ecuación y lo sustituimos en la segunda, de esa forma obtendremos el valor de x

y  =  12*x  - 7

(12*x - 7 ) - 5  = 10*x

2*x  -12 = 0

2*x = 12

x = 6       la cantidad de estantes, y

y  =  12*x -7

y  =  72  -  7

y =  65    cantidad de libros

You might be interested in
Tia cut a 4-meter 8-centimeter wire into 10 equal pieces. Marta cut a 540-centimeter wire into 9 equal pieces. How much longer i
bearhunter [10]

Answer:

19.2

Step-by-step explanation:

4 0
3 years ago
A battery was charged. When the changing began, it was 23 percent full. After 30 minutes of charging, the battery was 89 percent
Karo-lina-s [1.5K]
Attached the solution and work.

5 0
3 years ago
What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 t imes the l
givi [52]
The answer is x= 5 
Hope this helps!
7 0
3 years ago
Read 2 more answers
Need help to write equations for 5, 6 & 7
hoa [83]
7)
Read my note at the end of problem 5 in another post.
You already know this table represents an exponential function
since each y-coordinate is always the previous y-coordinate multiplied by 6.
That means b = 6, and you have
y = a(6)^x
Now we find "a". When x = 0, y = 5. That means a = 5.
The equation is

y = 5(6)^x
8 0
3 years ago
Kimuyen needs to earn $4,150 per month in order to pay all her expenses. Her job pays her $3,475 per month plus a commission of
ASHA 777 [7]

Answer:

Step-by-step explanation:

16,875

8 0
3 years ago
Read 2 more answers
Other questions:
  • A scuba diver is 12 meters below sea level. If the diver descends 39 meters further, what integer represents the scuba diver’s n
    15·1 answer
  • The school currently has 30 classrooms. with the addition there will be 40 classrooms. What percentage of the current number of
    14·1 answer
  • What is the prime factorization of 50?write the prime factorization of 50 using exponents.
    9·1 answer
  • 18 feet above ground level and 7 feet below ground level
    8·1 answer
  • At camp, 5 children are playing games and 4 children are making crafts. 5 other children are having a snack. how many children a
    13·1 answer
  • Order from least to greatest. 68%, 1/2, 0.55, 1.28.
    13·2 answers
  • A store buys necklaces wholesale
    5·1 answer
  • Please help me to figure out this math graph problem.
    13·1 answer
  • Please answer thank you​
    9·1 answer
  • PLS HELP I WILL GIVE BRAINLIEST <br><br> HELP ASAP
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!