All categories

2 years ago

Solve for a.

Mathematics

2 answers:

FinnZ [79.3K]2 years ago

8 0

Answer:

iii) a=3b/2

Step-by-step explanation:

7a-2b= 5a+b

7a-5a=2b+b

2a=3b

a=3b/2

pychu [463]2 years ago

8 0

Answer:

$\large\boxed{a=\dfrac{3b}{2}=\dfrac{3}{2}b=1.5b}$

Step-by-step explanation:

$7a-2b=5a+b\qquad\text{add}\ 2b\ \text{to both sides}\\\\7a-2b+2b=5a+b+2b\\\\7a=5a+3b\qquad\text{subtract}\ 5a\ \text{from both sides}\\\\7a-5a=5a-5a+3b\\\\2a=3b\qquad\text{divide both sides by 2}\\\\\dfrac{2a}{2}=\dfrac{3b}{2}\\\\a=\dfrac{3b}{2}$

You might be interested in

A plane takes off from an airport and flies at a speed of 400km/h on a course of 120° for 2 hours. the plane then changes its co

butalik [34]

Answer:

Distance from the airport = 894.43 km

Step-by-step explanation:

Displacement and Velocity

The velocity of an object assumed as constant in time can be computed as

$\displaystyle \vec{v}=\frac{\vec{x}}{t}$

Where $\vec x$ is the displacement. Both the velocity and displacement are vectors. The displacement can be computed from the above relation as

$\displaystyle \vec{x}=\vec{v}.t$

The plane goes at 400 Km/h on a course of 120° for 2 hours. We can compute the components of the velocity as

$\displaystyle \vec{v_1}=$

$\displaystyle \vec{v_1}=\ km/h$

The displacement of the plane in 2 hours is

$\displaystyle \vec{x_1}=\vec{v_1}.t_1=.(2)$

$\displaystyle \vec{x_1}=km$

Now the plane keeps the same speed but now its course is 210° for 1 hour. The components of the velocity are

$\displaystyle \vec{v_2}=$

$\displaystyle \vec{v_2}=km/h$

The displacement in 1 hour is

$\displaystyle \vec{x_2}=\vec{v_2}.t_2=.(1)$

$\displaystyle \vec{x_2}=km$

The total displacement is the vector sum of both

$\displaystyle \vec{x_t}=\vec{x_1}+\vec{x_2}=+$

$\displaystyle \vec{x_t}=km$

$\displaystyle \vec{x_t}=$

The distance from the airport is the module of the displacement:

$\displaystyle |\vec{x_t}|=\sqrt{(-746.41)^2+492.82^2}$

$\displaystyle |\vec{x_t}|=894.43\ km$

8 0

3 years ago

(y+6)(y - 4) = 0 0 prperty

Alex_Xolod [135]

Answer:

y = 4,-6

Step-by-step explanation:

0 property states that 0 times any number is 0

applying that here, that means y+6 = 0 or y-4 = 0

0(y-4) = 0; (y+6)(0) = 0

y+ 6 = 0

y = -6

y-4 = 0

y = 4

5 0

2 years ago

Write the function that the balance after t years $35000 deposit that earns 9.2% annual interest compounded quarterly

Vlada [557]

Answer:A = P(1+r/n)nt

A = 3500(1+.092/4)4t

Step-by-step explanation:

8 0

2 years ago

Find s8 for the following geometric sequence: 3, – 6, 12, – 24.

Alekssandra [29.7K]

Answer:

B. -255

Step-by-step explanation:

This picture is from the user of: DBlaze.

4 0

2 years ago

Use substitution to solve the system of equations Y+x=3 Y=1.5x+1

Serjik [45]

The solution to given system of equation is (x, y) = (0.8, 2.2)

Solution:

Given system of equations are:

y + x = 3 --------- eqn 1

y = 1.5x + 1 ---------- eqn 2

We have to solve the above system of equations by substitution method

Substitute eqn 2 in eqn 1

1.5x + 1 + x = 3

Combine the like terms

2.5x + 1 = 3

Move the constants to Right hand side of equation

2.5x = 3 - 1

2.5x = 2

x = 0.8

Substitute x = 0.8 in eqn 2

y = 1.5(0.8) + 1

y = 1.2 + 1

y = 2.2

Thus the solution to given system of equation is (x, y) = (0.8, 2.2)

7 0

3 years ago