Simplify 5t + (t - 3) - [(7t + 5) - (8 - 3t)].

Answers

Answer 1

Answer: This process is:

Distribute of the Negative Sign:
5t+t−3+−1(7t+5−(8−3t))
5t+t+−3+−1(7t)+(−1)(5)+(−1)(−8)+−1(3t)
5t+t+−3+−7t+−5+8+−3t
Now simple, Just Combine Like Terms:
5t+t+−3+−7t+−5+8+−3t
(5t+t+−7t+−3t)+(−3+−5+8)
−4t

-4t would be the answer.

~Evie

Answer 2

Answer: I presume that this is talking about simplification with the rule of PEMDAS. First, look at the parenthesis and brackets. Let's do the [(7t + 5) - (8 - 3t)] part first. The parenthesis can go away on the inside if you distribute the negative in (8 - 3t), which flips the signs of those. You should then have [7t + 5 - 8 + 3t], then work it out to form just (10t - 3). The negative will also carry for the brackets that were there before, so - (10t - 3) turns into -10t + 3. Now, you just have 5t + t - 3 - 10t + 3. Work that out to get your final answer of -4t.

-4t is the answer.

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Im so confused, how do i get the variance with just the standard deviation

Answers

Answer:

To figure out the variance, divide the sum, 82.5, by N-1, which is the sample size (in this case 10) minus 1. The result is a variance of 82.5/9 = 9.17. Standard deviation is the square root of the variance so that the standard deviation would be about 3.03.

hope this helps!

Kassy is traveling to Peru for her summer vacation. She looks at a map of the path of her flight. Her plane leaves from Texas, located at(5, 16) on the map’s coordinate grid, and then heads to its destination, Peru, located at(7, 8) on the map’s coordinate grid. Find the distance of Kassy's trip according to her map. Round your answer to the nearest hundredth.

Answers

Answer:

(6,12)

Step-by-step explanation:

Use the mid point formula to find the answer. Add the first x value to the second and divide by two for your x midpoint, then add the first y value to the second y value and divide by two for your y midpoint.

Whole numbers between 63 and 101

Answers

Answer:

64,81,100

Step-by-step explanation:

Answer: 64,81 and 100

Step-by-step explanation: 8^2=64, 9^2=81 and 10^2=100

Write y=2x^2-12x+16 in vertex form

Answers

Answer:

y = 2 $(x - 3)^(2)$ - 1

Step-by-step explanation:

y = 2 $x^(2)$ - 12x + 16

y = 2( $x^(2)$ - 6x + 8) ( Factor out 2 )

y + 9= 2( $x^(2)$ - 6x + 9) + 8 ( Complete the square $((-b)/(2) )^(2)$ ) Add 9 both sides

y + 9 = 2 $(x - 3)^(2)$ + 8 (Subtract 9 each side)

y = 2 $(x - 3) ^(2)$ - 1 ( simplify )

The rate of change of y is proportional to y. when x=0, y=4 and when x=3, y=10. what is the value of y when x=6?

Answers

The rate of change of y is proportional to y. when x=0, y=4 and when x=3, y=10 then the value of y is 12 when x =6.

The two points from the given information are (0, 4) and (3, 10).

Let us find the $slope = (10-4)/(3-0)$

=6/3

Now let us find the y intercept to write the equation in slope intercept form.

Consider the point (0, 4) to find y intercept.

Plug in the point values in slope intercept form:

4=2(0)+b

Solve for b:

b=4

The equation in slope intercept form is y=2x+4.

Now let us find the value of y when x=6.

Plug in x as 6 in the equation y=2x+4.

y=2(6)+4

y=12+4

y=16

Hence, the value of y is 16 when x is 6.

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We know x+y=0; so, if x=6 y= -6

Tom wants to tile the floor in his kitchen which has an area of 320 ft.² in the store the smallest tile he likes has an area of 1.1 square feetand the largest tile he likes has an area of 1.815 ft.² about how many tiles can be fitted in the given area

Answers

The 291 smallest tile or 177 largest tile.

What is Area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

The area of a shape is calculated with the help of its length and width. Length is unidimensional and measured in units such as feet (ft), yards (yd), inches (in), etc. However

Given:

Area of floor = 320 feet²

Area of smallest tile= 1.1 square feet

Area of smallest tile = 1.815 square feet.

Number of smallest tile = 320/1.1 ≈ 291 tiles

Number of large tiles = 320/1.815 ≈ 177 tiles

Hence, the 291 smallest tile or 177 largest tile.

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To use the most tiles, Tom should use the smallest tiles possible, or 1.1 square feet. Because 320/1.1 is about 290, approximately 290 such tiles can be fit in the area.

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