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Rudik [331]
3 years ago
7

How do you solve 10b-(-b)-9b-7a+10a+5

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

Answer: 2b-21a

Step-by-step explanation:

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A rectangular room is 1.2 1.2 times as long as it is wide, and its perimeter is 35 35 meters. Find the dimension of the room.
Westkost [7]

Answer:

I. Length, L = 9.552 meters

II. Width, W = 7.96 meters

Step-by-step explanation:

Let the length = L

Let the width = W

Given the following data;

Perimeter = 35 m

Translating the word problem into an algebraic equation, we have;

Length = 1.2W

To find the dimension of the room;

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

Substituting into the formula, we have;

35 = 2(1.2W + W)

35 = 2(2.2W)

35 = 4.4W

Width, W = 7.96 meters

Next, we would find the length of the rectangle;

L = 1.2*W

L = 1.2 * 7.96

Length, L = 9.552 meters

6 0
3 years ago
Solve for x: 6x + 1 over 4 (4x + 8) > 12
sukhopar [10]

Answer:

A. x>\frac{10}{7}.

Step-by-step explanation:

We have been given an inequality 6x+\frac{1}{4}(4x+8)>12. We are asked to solve the given inequality for x.

Using distributive property, we will get:

6x+\frac{1}{4}*4x+\frac{1}{4}*8>12

6x+x+2>12

7x+2>12

Subtract 2 from both sides:

7x+2-2>12-2

7x>10

Divide both sides by 7:

\frac{7x}{7}>\frac{10}{7}

x>\frac{10}{7}

Therefore, option A is the correct choice.

3 0
2 years ago
The residents of a downtown neighborhood designed a​ triangular-shaped park as part of a city beautification program. The park i
ycow [4]
You have x , x+7, and 7x-7. When you add those up and equal it to 180 you can get your x. X equals 20
So one angle is 20 degrees
The second angle is 27 degrees
And the third angle is 133 degrees.
8 0
3 years ago
Assume that the lines that appear to be tangent are tangent p is the center if each circle find x. ​
Elodia [21]

Answer:

Step-by-step explanation:

Problem One

All quadrilaterals have angles that add up to 360 degrees.

Tangents touch the circle in such a way that the radius and the tangent form a  right angle at the point of contact.

Solution

x + 115 + 90 + 90 = 360

x + 295 = 360

x + 295 - 295 = 360 - 295

x = 65

Problem Two

From the previous problem, you know that where the 6 and 8 meet is a right angle.

Therefore you can use a^2 + b^2 = c^2

a = 6

b =8

c = ?

6^2 + 8^2 = c^2

c^2 = 36 + 64

c^2 = 100

sqrt(c^2) = sqrt(100)

c = 10

x = 10

Problem 3

No guarantees on this one. I'm not sure how the diagram is set up. I take the 4 to be the length from the bottom of the line marked 10 to the intersect point of the tangent with the circle.

That means that the measurement left is 10 - 4 = 6

x and 6 are both tangents from the upper point of the line marked 10.

Therefore x = 6

4 0
3 years ago
Haddie flipped a fair coin 12 times. The coin landed on heads 11 times and tails 1 time. She flips the coin a 13th time. How lik
Tpy6a [65]

Answer:

50/50. there is no outside force that decides otherwise

6 0
3 years ago
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