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3 years ago

Johns car averages 28 miles per gallon. how far can her drive on 8.25 gallons

Mathematics

1 answer:

Lilit [14]3 years ago

4 0

Answer: The correct answer is 231 miles

Step-by-step explanation: 28 miles to the gallon x 8.25= 231 miles

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Answer is C multiply 5 by every ticket

Step-by-step explanation:

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3 years ago

. A group of 18 people ordered soup and sandwiches for

larisa [96]

its 18 because if u add 18 to 34

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3 years ago

I dont understand the problem look at the attached picture to see the problem

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3 years ago

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

Need to use the properties of exponents to solve this equation. I'm a bit confused on how to do this problem so a step by step d

garik1379 [7]

Answer:

Step-by-step explanation:

The given expression is

(4×10^8)(4×10^-7)/(4×10^8)

Considering the property of exponents which is expressed as

y^a × y^b = y^(a + b)

Applying the above rule to the denominator of the given expression, it becomes

4×10^8 × 4×10^-7 = 16 × 10^(8 + - 7)

= 16 × 10^(8 - 7)

= 16 × 10 = 160

The expression becomes

16 × 10/(4×10^8)

We would apply the property of exponents which is expressed as

y^a ÷ y^b = y^(a - b)

It becomes

16/4 × 10^(1 - 8)

= 4 × 10^-7

8 0

3 years ago