Darryl has a board that is 8 feet long.He cuts it into pieces that's are each 2 feet long

Answer:

Slope -1, y intercept +5.

Bold line, shaded above

Step-by-step explanation:

x + y - 5 ≥ 0

y ≥ -x + 5

The number in standard notation is 0.000643.

In scientific notation, numbers are expressed in the form of , where a is a decimal number between 1 and 10 (inclusive), and b is an integer that represents the power of 10 by which a is multiplied.

For the number :

The decimal number a is 6.43. It is greater than or equal to 1 but less than 10, as it falls within the range [1, 10).

In this case, a is 6.43.

The exponent b is -4.

This indicates that the decimal number a is multiplied by 10 raised to the power of -4.

To calculate the value of the number in standardnotation, we perform the multiplication:

Now, we can simplify the multiplication:

6.43 × 0.0001 = 0.000643

Hence, the number in standard notation is 0.000643.

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Answer:

Weight of chocolate candies = 30lbs

Weight of sour candies = 30lbs

Step-by-step explanation:

We are told in the question that :

Chocolate candies worth $2.50 per pound

Sour candies worth $0.90 per pound. How much of each kind of candies should she combine to get 60 lb of mixed candies worth $1.70 per pound?

Let x represent the number of pounds of chocolate candies

Let 60 - x represent the number of pounds of sour candies

Hence, we have the equation

x × $2.50 + (60 - x) × $0.90 = 60 × $1.70

= 2.5x + 54 - 0.9x = 102

Collect like terms

2.5x - 0.9x = 102 - 54

= 1.6x = 48

x = 48/1.6

x = 30 lbs

x represent the number of pounds of chocolate candies,

60 - x represent the number of pounds of sour candies

= 60 - 30

= 30lbs

Weight of chocolate candies = 30lbs

Weight of sour candies = 30lbs

Therefore, she should combine 30lbs of chocolate candies and 30lbs of sour candies to get 60 lb of mixed candies worth $1.70 per pound.

Answer:

72.8

Step-by-step explanation:

The tenth is the immidiate number after the decimal point, so if you are rounding tho the nearest tenth, you have to remember that if you have any number from 5-9 you have to round up, and if you have any number from 1-4 you have to round down, in this case as you have a .807, it´s a ,07 you have to round down to 72.8

Answer:

answer 72.8

Step-by-step explanation:

Answer:

Friend: 18; You: 54

Step-by-step explanation:

You and your friend are rolling number cubes.

Each cube has 6 sides with the numbers 1 to 6.

Total Outcomes=36

{1,1};{1,2};{1,3}{1,4};{1,5};{1,6}

{2,1};{2,2};{2,3}{2,4};{2,5};{2,6}

{3,1};{3,2};{3,3}{3,4};{3,5};{3,6}

{4,1};{4,2};{4,3}{4,4};{4,5};{4,6}

{5,1};{5,2};{5,3}{5,4};{5,5};{5,6}

{6,1};{6,2};{6,3}{6,4};{6,5};{6,6}

If a sum of 7 is rolled, your friend gets 1 point.

Favorable outcomes for friend = {1,6};{2,5};{3,4};{4,3};{5,2};{6,1}=6

Total outcomes = 36

So, probability of getting a sum of 7 =

Since there are 108 rolls

So, expected score of friend =

If a 2, 3, or 4 is rolled, you get 1 point.

So, probability of getting 2 =

So, probability of getting 3 =

So, probability of getting 4 =

So, So, probability of getting 2,3 or 4 =

So, your expected score =

So, option D is correct.

Hence expected score of friend is 18 and yours expected score is 54