MATHEMATICS
HIGH SCHOOL

Answer: 3 hearts = red cards

8 diamands = red cards

6 spades = black cards

It means that total number of red cards is 11, total number of black cards is 6 and total amount of cards is 17 (in this deck)

so probabilty of choosing red card from this deck will be 11 to 17 (red cards to all cards in this deck)

or you can write it down as percentage

Your answer then is 67.71% or probabilty of chosing red card is like 11 to 17

8 diamands = red cards

6 spades = black cards

It means that total number of red cards is 11, total number of black cards is 6 and total amount of cards is 17 (in this deck)

so probabilty of choosing red card from this deck will be 11 to 17 (red cards to all cards in this deck)

or you can write it down as percentage

Your answer then is 67.71% or probabilty of chosing red card is like 11 to 17

COLLEGE

Simplify the expression. 6(7n – 5m) + 8m

6 (7 n - 5 m) + 8 m

6 (7 n - 5 m) = 42 n - 30 m:

42 n - 30 m + 8 m

Grouping like terms, -30 m + 42 n + 8 m = 42 n + (8 m - 30 m):

42 n + (8 m - 30 m)

8 m - 30 m = -22 m:

42 n + -22 m

Factor 2 out of 42 n - 22 m:

Answer: 2 (21 n - 11 m)

6 (7 n - 5 m) = 42 n - 30 m:

42 n - 30 m + 8 m

Grouping like terms, -30 m + 42 n + 8 m = 42 n + (8 m - 30 m):

42 n + (8 m - 30 m)

8 m - 30 m = -22 m:

42 n + -22 m

Factor 2 out of 42 n - 22 m:

Answer: 2 (21 n - 11 m)

MIDDLE SCHOOL

Round 14.857 to the nearest tenth. A. 15.0 B. 14.8 C. 14.9 D. 10.0

Answer:

C. 14.9

Explanation:

When rounding to the nearest tenth, we will check the number in the hundredth position:

1- If the number in the hundredth position is less than 5, then we will just omit all numbers after the tenth and keep its value as it is

2- If the number in the hundredth position is 5 or more, then we will omit all numbers after the tenth and add 1 to the value of the tenth.

In the given question, the number in the hundredth position is 5, therefore, we will add 1 to the tenth and then omit all digits after it.

So, 14.857 is approximately equal to 14.9

Hope this helps :)

C. 14.9

Explanation:

When rounding to the nearest tenth, we will check the number in the hundredth position:

1- If the number in the hundredth position is less than 5, then we will just omit all numbers after the tenth and keep its value as it is

2- If the number in the hundredth position is 5 or more, then we will omit all numbers after the tenth and add 1 to the value of the tenth.

In the given question, the number in the hundredth position is 5, therefore, we will add 1 to the tenth and then omit all digits after it.

So, 14.857 is approximately equal to 14.9

Hope this helps :)

C. 14.9 because the second number is 5 so you drop the seven and the 5 and round the 8 up to 9

MIDDLE SCHOOL

Factor 12t2 + 70t + 72 completely A. (6t + 8)(2t + 9)

B. 2(3t + 9)(2t + 4)

C. 2(3t + 4)(2t + 9)

D. 12(t + 3)(t + 2)

It would be (C) 2(3t+4)(2t+9)

MIDDLE SCHOOL

State which of the following sets of ordered pairs represent a function. Set A: (5, 2), (4, 3), (3, 4), (2, 5) Set B: (-1, -6), (0, 2), (1, 2), (3, 6) Set C: (2, 1), (4, 2), (2, 3), (8, 4) a. Set C b. Set B c. Set A d. Set A and Set B Please select the best answer from the choices provided

Answer:

Sets A and B . choice D

Step-by-step explanation:

A relation from a set X to a set Y is said to be a function if each individual element of X is related to exactly one element in Y. In other words, given an element x contained in X, there is only one element in Y that x is related to.

Going by this definition, Sets A and B are functions since each element in x is related to exactly one element in y.

On the other hand, Set C is not a function since the element x = 2 has two corresponding y elements, 1 and 4

Answer:

sets A and B

Step-by-step explanation: