All categories

3 years ago

4) 8(-2 + 2n) + 3n = 40 +5n

Mathematics

2 answers:

Thepotemich [5.8K]3 years ago

6 0

Answer: n=4

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps you out! If you need anymore help with math, let me know and I will be more than happy to help you! ☺

-Karleif Jonsi-

Nikitich [7]3 years ago

5 0

Answer:

use the distributive property to distribute the 8

-16+16n+3n=40+5n

-16+19n=40+5n

-16=40+5n-19n

-16=40-14n

-14n+40= -16

-14n= -16-40

-14n= -56

n= -56/-14

n= 4

You might be interested in

The temperature was x° F. It increased by 24°F and is now 6°F. What was the original

Nesterboy [21]

Answer:

The original temperature was -18°F

Step-by-step explanation:

x°F + 24°F = 6°F

or, x°F = 6°F - 24°F

so, x°F = -18°F

7 0

2 years ago

A cellular phone is in the shape of rectangular prism. The height of the phone is 6 millimeters, and the width is 50 millimeters

Bas_tet [7]

Answer: 75ml

Step-by-step explanation:

The volume of a rectangular prism is:

= Length × width × height

where,

Volume = 22500ml³

Length = Unknown

Width = 50ml

Height = 6ml

We then slot the values into the formula.

Volume = Length × width × height

22500 = Length × 50 × 6

22500 = Length × 300

Length = 22500/300

Length = 75ml

The length of the cellular phone is 75ml.

5 0

3 years ago

Find the solution of the given initial value problem. ty' + 2y = sin t, y π 2 = 9, t > 0 y(t) =

Helen [10]

For the ODE

$ty'+2y=\sin t$

multiply both sides by t so that the left side can be condensed into the derivative of a product:

$t^2y'+2ty=t\sin t$

$\implies(t^2y)'=t\sin t$

Integrate both sides with respect to t :

$t^2y=\displaystyle\int t\sin t\,\mathrm dt=\sin t-t\cos t+C$

Divide both sides by $t^2$ to solve for y :

$y(t)=\dfrac{\sin t}{t^2}-\dfrac{\cos t}t+\dfrac C{t^2}$

Now use the initial condition to solve for C :

$y\left(\dfrac\pi2\right)=9\implies9=\dfrac{\sin\frac\pi2}{\frac{\pi^2}4}-\dfrac{\cos\frac\pi2}{\frac\pi2}+\dfrac C{\frac{\pi^2}4}$

$\implies9=\dfrac4{\pi^2}(1+C)$

$\implies C=\dfrac{9\pi^2}4-1$

So the particular solution to the IVP is

$y(t)=\dfrac{\sin t}{t^2}-\dfrac{\cos t}t+\dfrac{\frac{9\pi^2}4-1}{t^2}$

$y(t)=\dfrac{4\sin t-4t\cos t+9\pi^2-4}{4t^2}$

6 0

3 years ago

Mr brown shares with the class that 70%of the students got a A on the English vocabulary quiz if mr brown has 100 students creat

Harrizon [31]

70% of 100 is 70 students. Unfortunately I can not make a model for you but here's an idea: Draw a large circle. Next, draw a line halfway down the circle, and halfwar down draw another line to the right, this making it look like three fourths. Then, color the larger space in one color and the other smaller space that looks like a small slice of pie in another color. On the larger piece write "70% who got an A" and on the smaller write "30% who didn't get an A" At the bottom you can write 70 students out of 100 got an A on the test.

6 0

3 years ago

A special filter can process 34 gallon of liquid in 25 minutes. If the filter processes a liquid at a constant rate, what is the

Crazy boy [7]

Answer:

1.36

Step-by-step explanation:

34/25=1.36 wait nvm I messed up

8 0

3 years ago

Read 2 more answers