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
Tema [17]
3 years ago
8

Solve the system of equations. – 5x + 2y = 9 y = 7x X = Y =

Mathematics
2 answers:
Helen [10]3 years ago
6 0

Answer:

x = 1

y = 7

Step-by-step explanation:

Your system of equations is

-5x + 2y = 9

y = 7x

The easiest way to solve this is by substitution.  This means that you set one of the equations equal to a variable and you plug that variable into the variable of the other equation.  The second equation (y = 7x) is already set up this way so we will plug it into the first equation.

-5x + 2(7x) = 9

-5x + 14x = 9

9x = 9

(9x)/9 = (9)/9

x = 1

You have found x.  Now, plug this number into the second equation (y = 7x) to find the value of y.

y = 7(1)

y = 7

Sphinxa [80]3 years ago
5 0

Answer:

<em> x−y = 9 , x + y = 6</em>

<em>x + y = 4  ,  x − y = 2</em>

<em>x + 2 y = 4  ,  x − y = − 3 </em>

<em>try out these examples?</em>

<em />

<em />

You might be interested in
Cameron's book log shoes he reads total of 4\1/4 hours last month how many minutes is that
Romashka-Z-Leto [24]
260 minutes. 4 times 60 = 240 + 20 minutes i s the quarter
8 0
3 years ago
Read 2 more answers
Which type of triangle, if any, has side lengths of 11, 15, and 25?
abruzzese [7]

Answer:

Scalene triangle

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

An isosceles triangle has 2 equal sides.

A scalene triangle has no equal sides.

4 0
2 years ago
Read 2 more answers
If a equals 4b - 15 what is b
nlexa [21]

Answer:

b = a + 3.75

Step-by-step explanation:

a = 4b - 15

You are solving for b. Isolate the b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 15 to both sides

a (+15) = 4b - 15 (+15)

a + 15 = 4b

Next, divide 4 from both sides. Remember to divide from all terms.

(4a + 15)/4 = (4b)/4

b = (4a)/4 + (15)/4

b = a + 15/4

b = a + 3.75 is your answer

~

7 0
3 years ago
Suppose a population grows according to the logistic equation but is subject to a constant total harvest rate of H. If N(t) is t
Elenna [48]

Answer:

a) Equilibrium point : [ 947, 53 ]

b) N = 947 is stable equilibrium, N = 53  is unstable equilibrium

c) N0, the population will not go extinct

Step-by-step explanation:

a)

Given that;

r = 2, k = 1000, H = 100

dN/dT = R(1 - N/k)N - H

so we substitute

dN/dt = 2( 1 - N/1000)N - 100

now for equilibrium solution, dN/dt = 0

so

2( 1 - N/1000)N - 100 = 0

((1000 - N)/1000)N = 50

N^2 - 1000N + 50000 = 0

N = 1000 ± √(-1000)² - 4(1)(50000)) / 2(1)

N = 947.213 OR 52.786

approximately

N = 947 OR 53

Therefore Equilibrium point : [ 947, 53 ]

b)

g(N) = 2( 1 - N/1000)N - 100

= 2N - N²/500 - 100

g'(N) = 2 - N/250

SO AT 947

g'(N) = g'(947) =  2 - 947/250 = -1.788 which is less than (<) 0

so N = 947 is stable equilibrium

now AT 53

g'(N) = g"(53) = 2 - 53/250 = 1.788 which is greater than (>) 0

so N = 53  is unstable equilibrium

The capacity k=1000

If the population is less than 53 then the population will become extinct but since the capacity is equal to 1000 then the population will not go extinct.

6 0
3 years ago
01. En una piscigranja el 30% de boquichicos es el 20% del número de carachamas. Si sólo hay boquichicos y carachamas. ¿Qué porc
Simora [160]

Answer:

0.1. B) 50%

0.2 A) Psicología

Step-by-step explanation:

01. Dejemos que 'x' e 'y' representen el porcentaje de boquichicos y carachamas en la piscifactoría, tenemos;

Dado que el 30% de los boquichicos es el 20% del número de carachamas

30% x = 20% y

∴ 0.3 · x = 0.2 · y

Por lo tanto, tenemos;

x / y = 0,2 / 0,3 = 2/3

Por lo tanto, por cada 100% de pescado, tenemos;

x + y = 100%

x = 2/3 · y

2/3 · y + y = 100%

5 · años / 3 = 100

y = 100 × 3/5 = 60%

El porcentaje de carachamas en la finca, y = 60%

∴ x = 100% - y = 100% - 60% = 40%

El porcentaje de boquichicos en la finca, x = 40%

Por lo tanto, tenemos el 80% del pescado en la granja, obtenemos;

Si hay 100 peces en la granja, 80% = 80 peces

Pero el número de los 100 peces que son boquichicos en la granja = 40% × 100 = 40 peces

Por lo tanto, los boquichicos son la mitad del 80% del número de peces o el 50% de los peces en la piscifactoría.

La opción correcta es;

B) 50%

02. Tenemos;

El costo de un libro de psicología> El costo de un libro en inglés

El costo de un libro de matemáticas> El costo de un libro de historia

El costo de un libro de psicología> El costo de un libro de matemáticas

Por lo tanto, tenemos;

El costo de un libro de psicología> El costo de un libro de matemáticas> El costo de un libro de historia

∴ El libro de Psicología es más caro que todos los demás libros y, por tanto, es el libro más caro

La opción correcta es;

A) Psicología

3 0
2 years ago
Other questions:
  • To estimate a population mean, the sample size needed to provide a margin of error of 3 or less with a 95% confidence when the p
    9·1 answer
  • The cost of milk is expected to raise 106% over the next year
    8·1 answer
  • Witch is NOT a method for solving systems of a linear equations
    14·1 answer
  • Below is the graph of f(x)=In(x). how would you describe the graph of g(x)=1/3In(x)
    5·2 answers
  • Determine the slope and vertical intercept of the following linear function below
    10·1 answer
  • The population of a small town is currently 6000. This population grows at roughly 1.6% per year. In how many years will the pop
    6·1 answer
  • 18 cajas de manzanas y peras fueron llevadas a la escuela. Las peras trajeron 210 kg en 6 cajas. ¿Cuántos kilos de manzanas fuer
    10·1 answer
  • Find the value of x that makes the two triangles equal
    8·1 answer
  • Yolanda is going to watch a movie in her collection. She has 3 action movies, 4 comedies, and 5 dramas.
    6·2 answers
  • Help meh its math! Well mark brainliest!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!