X/4 = r3 or 3/4
x/3 = r2 or 2/3
x/5 = r3 or 3/5

we know x is not divisible by 4 3 or 5 and is less than 30.

we know the value ends in 3 or 8 from x/5 = r3

we know the value is greater than 3 from r3

so far we got 13 and 23

13 is eliminated from x/4 = r3 because it is r1 not r3

so the answer is 23

7 0

2 years ago

At a ski resort, 1/4 of the 300 skiers are beginners, and 1/4 of the 260 snowboarders are beginners. The resort staff used the d

Evgen [1.6K]

$\frac{1}{4}(300 + 260) = \frac{1}{4} \times 300 + \frac{1}{4} \times 260$ is the expression that demonstrates the distributive property

<em><u>Solution:</u></em>

Given that,

At a ski resort, $\frac{1}{4}$ of the 300 skiers are beginners

$\frac{1}{4}$ of the 260 snowboarders are beginners

The resort staff used the distributive property to make the calculation of the total number of beginners on the ski slopes

Beginners in skiers = $\frac{1}{4}$ of the 300

Beginners in snowboarders = $\frac{1}{4}$ of the 260

Total number of beginners = Beginners in skiers + Beginners in snowboarders

$\text{ Total number of beginners } = \frac{1}{4}(300) + \frac{1}{4}(260)$

We have to use distributive property

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum

<em><u>Therefore, our expression is:</u></em>

$\frac{1}{4}(300) + \frac{1}{4}(260)$

We have to take $\frac{1}{4}$ as common term to get distributive property

$\frac{1}{4}(300) + \frac{1}{4}(260) = \frac{1}{4}(300 + 260)\\\\\frac{1}{4} \times 300 + \frac{1}{4} \times 260 = \frac{1}{4}(300 + 260)$

Thus distributive property is applied

8 0

2 years ago

50 POINTS!!! HELP ASAP! The table below shows the distribution of students by age in a high school

Damm [24]

Answer: B.

Step-by-step explanation: The probability that a student is 15 years old includes those who are only 15: 450 students. This means that of 1,500 there are 450 students who are 15. The probability is set up as: 450/1,500 or 0.30.

7 0

2 years ago