The sum of one fifth of a number and 3 7/10 is 7. Find the number

Evaluate Expression -19 + 3(-13 + 4*3)

jarptica [38.1K]

Answer:

-22

Step-by-step explanation:

Solve the expression using PEMDAS.

-19 + 3(-13 + 4 * 3)

~Multiply

-19 + 3(-13 + 12)

~Add

-19 + 3(-1)

~Multiply

-19 - 3

~Subtract

-22

Best of Luck!

3 0

2 years ago

Solve the following literal equation for b. cb + db = a

PilotLPTM [1.2K]

Step-by-step explanation:

$cd + db = a \\ b(c + d) = a \\ \frac{b(c + a)}{a + b} \\ b = \frac{a}{c + d}$

7 0

3 years ago

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Suppose we write the numbers $1,2,3,4,5,6$, and then color each number red or blue. The coloring is called factorific if there i

Oxana [17]

Answer:

The probability that his coloring is factorific is 0.28125

Step-by-step explanation:

For calculate the probability is necessary to identify the total number of ways to color the six number. This can be calculate with the rule of multiplication as:

2*2*2*2*2*2=64

Because we have 2 options to color every number.

For know the number of ways in which the coloring is factorific, first we need to identify the divisors of each number:

1: the divisor is 1

2: The divisors are 2 and 1

3: The divisors are 3 and 1

4: The divisors are 4, 2 and 1

5: The divisors are 5 and 1

6: The divisors are 6, 3 and 1

From these information we analyse that for made a factorific coloring, is necessary that the number 1 is color blue. Additionally if the number 4 is color blue, the number 2 needs to be color blue and if the number 6 is blue, the number 3 needs to be blue.

So, the number of ways in which we can create a factorfic number is determined by the following cases:

The number 2 is blue and the number 3 is blue: In this case we have 1 option for number 1, one for number 2 and 1 for number 3. Taking into account that the number 2 and 3 are blue, if the number 4 and 6 are blue or red doesn't change the fact that the coloring is going to be factorific. So, we have two options for number 3 and 2 options for number 6. Finally the color of the number 5 is independent of the colors of number 2 and 3, so we also have 2 options for coloring number 5 and the coloring is going to be factorific. Then the number of ways for this situation is calculate as:

1 * 1 * 1 * 2 * 2 * 2 = 8

number 1 number 2 number 3 number 4 number 5 number 6

At the same way we can calculate the following cases:

The number 2 is blue and the number 3 is red: If the number 3 is red, the coloring is only going to be factorific is number 6 is red. Then the number of ways for this situation is calculate as:

1 * 1 * 1 * 2 * 2 * 1 = 4

number 1 number 2 number 3 number 4 number 5 number 6

The number 2 is red and the number 3 is red: If the number 2 and 3 are red, the coloring is only going to be factorific is number 4 and 6 are red. Then the number of ways for this situation is calculate as:

1 * 1 * 1 * 1 * 2 * 1 = 2

number 1 number 2 number 3 number 4 number 5 number 6

The number 2 is red and the number 3 is blue: If the number 2 is red, the coloring is only going to be factorific is number 4 is red. Then the number of ways for this situation is calculate as:

1 * 1 * 1 * 1 * 2 * 2 = 4

number 1 number 2 number 3 number 4 number 5 number 6

If we sum all the cases, we obtain 18 ways to make a factorific coloring. So the probability can be calculated as:

$P= \frac{18}{64} = 0.28125$

4 0

3 years ago

In the triangle below, 21 = 35 and 23 = 100°. 1 3 What is the measure of angle 2?

Luda [366]

Answer: Angle 2: 45°

Step-by-step explanation:

All triangles add up to 180, so all you would so is take both of those angles and subtract them from 180, so basically 180 - 135

5 0

3 years ago

Why is 82 a composite number

AfilCa [17]

Answer:

Why is 82 a composite number? A composite number is a number that can be divided evenly by more numbers than 1 and itself. ... The number 82 can be evenly divided by 1, 2, 41 and 82, with no remainder. Since 82 cannot be divided by just 1 and 82, it is a composite number.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers