Simplify 10 + 4(x + 1) + 5. User: Simplify 18 - 2[x + (x - 5)].

Answers

Answer 1

Answer: 10 + 4(x + 1) + 5
10 + 4(x) + 4(1) + 5
10 + 4x + 4 + 5
10 + 4x + 9
10 + 9 + 4x
19 + 4x
4x + 19

18 - 2[x + (x - 5)]
18 - 2(x + x - 5)
18 - 2(2x - 5)
18 - 2(2x) + 2(5)
18 - 4x + 10
-4x + 18 + 10
-4x + 28

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1.Simplifying the following expression small 1-3s-s+8-2, the new expression is blank

Answers

Answer:

Step-by-step explanation:

1 - 3s - s + 8 -2 = 1 + 8 - 2 -3s - s

= 9 - 2 - 4s

= 7 - 4s

Here, 1 , 8 & (-2) are like term and when we add we get 7

-3s & -s are like terms. Add the coefficient of s , -3 +(-1) = -4

Suppose that $2000

is loaned at a rate of
9%

, compounded annually. Assuming that no payments are made, find the amount owed after
10

years.
Do not round any intermediate computations, and round your answer to the nearest cent.

Answers

2000 dollars is owed with 9% interest rate.
Now, assuming that for 10 years, it is not being paid.
Let's calculate for the money that is now owed.
=> 2000 dollars * . 09 = 180 dollars for 1 years
=> 180 dollars * 10 years = 1800 dollars
=> 2000 + 1800 = 3800 dollars for 10 years.

Calculate the area of the composite figure below.

Answers

Answer:

81 $m^(2)$

Step-by-step explanation:

rectangle=60m^2

triangle=21m^2

21+60=81

60.34 to the nearest tenth a second

Answers

The answer is 60.3 because the number after is not five or higher to be rounded up so it stays the same.

What is heavier 85 g or 3 oz

Answers

To compare measurements of different units, it is necessary to convert one to the form of the other. Let us try to convert 85g to ounces using the following relation: 1g = 0.035274 oz

85g * (0.035274oz / 1g) = 2.99829 oz.

Therefore, 3 oz is heavier than 85 g.

Find the distance between the given pair of points. (a, a) and (b, b)_____

Answers

To find the distance between the points (a, a) and (b, b), we can use the distance formula. The distance formula calculates the distance between two points in a coordinate plane.

The distance between two points (x1, y1) and (x2, y2) is given by the formula:

Distance = √((x2 - x1)² + (y2 - y1)²)

In this case, since the points are (a, a) and (b, b), we substitute a for both x1 and y1, and b for both x2 and y2:

Distance = √((b - a)² + (b - a)²)

Simplifying this expression further:

Distance = √((b - a)² + (b - a)²) = √(b² - 2ab + a² + b² - 2ab + a²) = √(2a² + 2b² - 4ab)

Therefore, the distance between the points (a, a) and (b, b) is √(2a² + 2b² - 4ab).

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