Isaiah has $7.15 in Dimes and Nickels.He has a total of 91 coins.How many good each coin does he have?

One number is 2 more than 3 times another. Their sum is 22. Find the numbers. 8, 14 5, 17 2, 20 4, 18 10, 12

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Answer:

(b) 5, 17

Step-by-step explanation:

You can try the answer choices easily enough.

2 +3×8 ≠ 14

2 +3×5 = 17 . . . . this choice works (5, 17)

2 +3×2 ≠ 20

2 +3×4 ≠ 18

2 +3×10 ≠ 12

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Or, you can solve the equation:

x + (2 +3x) = 22

4x = 20 . . . . . . . . subtract 2

x = 5 . . . . . . . . . . divide by 4

The numbers are 5 and (22 -5) = 17.

5 0

2 years ago

All the fourth-graders in a certain elementary school took a standardized test. A total of 85% of the students were found to be

Aneli [31]

Answer:

There is a 2% probability that the student is proficient in neither reading nor mathematics.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a student is proficient in reading

B is the probability that a student is proficient in mathematics.

C is the probability that a student is proficient in neither reading nor mathematics.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a student is proficient in reading but not mathematics and $A \cap B$ is the probability that a student is proficient in both reading and mathematics.

By the same logic, we have that:

$B = b + (A \cap B)$

Either a student in proficient in at least one of reading or mathematics, or a student is proficient in neither of those. The sum of the probabilities of these events is decimal 1. So

$(A \cup B) + C = 1$