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notsponge [240]
2 years ago
6

Evaluate using order of operations. 9(8 – 11) – 3(-5)

Mathematics
1 answer:
yulyashka [42]2 years ago
8 0

Answer:

-12

Step-by-step explanation:

9(8-11)-3(-5)

First do multiplication.

72-99+15

And then, do the rest of the equation from left to right.

-27+15

Answer that question to get:

-12

Hope this helped! :)

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Solve 9x – 3 > 2x + 11. Show each step of your work please.
Y_Kistochka [10]
Let's do this step by step:
Our objective is to find out x.

First, we have to take the '-3' to the right side, and put it next to the 11. When we do this its operation reverses, so it becomes 11 + 3, which is 14.
So we have 9x > 2x + 14.
Then we do the same to the numbers with X, but this time we take the number from the right side to the left. So 2x to the left (reversed) becomes 9x-2x which is 7x.
So 7x > 14
Now let's simplify, 14/7 = 2
so x = 2
6 0
3 years ago
Read 2 more answers
2. 5x + 7x + 3x = 60<br> What’s the value of x?
SOVA2 [1]

Answer:

Step-by-step explanation:

Simplifying

7x = -3x + -60

Reorder the terms:

7x = -60 + -3x

Solving

7x = -60 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.

7x + 3x = -60 + -3x + 3x

Combine like terms: 7x + 3x = 10x

10x = -60 + -3x + 3x

Combine like terms: -3x + 3x = 0

10x = -60 + 0

10x = -60

Divide each side by '10'.

x = -6

Simplifying

x = -6

6 0
3 years ago
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Find the magnitude and direction of r + u
Jet001 [13]

Answer:

Option a: magnitude = 1.6 cm and angle = 40.3°

Step-by-step explanation:

This problem consists of a sum of vectors

To make this sum, we need to decompose each vector in x and y components, using their angles.

So, for vector u, we have:

u_x = u*cos(340) = 3 * 0.9397 = 2.8191

u_y = u*sin(340) = 3 * (-0.342) = -1.026

Now for vector r we have:

r_x = r*cos(128) = 2.6 * (-0.6157) = -1.6008

r_y = r*sin(128) = 2.6 * 0.788 = 2.0488

Now we need to sum the x components and the y components to find the resultant of r + u. Let's call the resultant vector k:

k_x = u_x + r_x = 2.8191 - 1.6008 = 1.2183

k_y = u_y + r_y = -1.026 + 2.0488 = 1.0228

To find the magnitude and the angle, we can use Pythagoras's formula and arc tangent of k_y/k_x:

magnitude = sqrt(1.2183^2 + 1.0228^2) = 1.5907 cm

angle = arc tangent(1.0228/1.2183) = 40.0145°

So the nearest answer is option a: magnitude = 1.6 cm and angle = 40.3°

3 0
3 years ago
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A tree that is 3 feet tall cast a shadow that is 2 feet long.find the length of the shadow that a 6 foot tree casts?
Helga [31]

Answer:

4 feet

Step-by-step explanation:

3:2=6:x x=4

8 0
3 years ago
What is the constant of rate change for the linear function 3/24 4/32 5/40 6/48
aalyn [17]
The constant rate of change is 8...any questions?
6 0
3 years ago
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