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2 years ago

Which of the following uses the distributive property correctly?

Mathematics

1 answer:

Alekssandra [29.7K]2 years ago

5 0

Answer:

3(×+5)=3 . x+5

Step-by-step explanation:

3(x+5)=3x+15

3 . x+5=3x+15

3 (x+5)=3 . x+5

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Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pian

finlep [7]

Answer:

30% is the correct answer.

Step-by-step explanation:

Total number of boys = 2

Total number of girls = 3

Total number of students = 5

To find:

Probability that the pianist will be a boy and the alternate will be a girl?

Solution:

Here we have to make 2 choices.

1st choice has to be boy (pianist) and 2nd choice has to be girl (alternate).

$\bold{\text{Required probability }= P(\text{boy as pianist first}) \times P(\text{girl as alternate})}$

Formula for probability of an event E is given as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

For $P(\text{boy as pianist})$ , number of favorable cases are 2 (total number of boys).

Total number of cases = Total number of students i.e. 5

So, $P(\text{boy as pianist})$ is:

$P(\text{boy as pianist}) = \dfrac{2}{5}$

For $P(\text{girl as alternate})$ , number of favorable cases are 3 (total number of girls).

Now, one boy is already chosen as pianist so Total number of cases = Total number of students left i.e. (5 - 1) = 4

$P(\text{girl as alternate}) = \dfrac{3}{4}$

So, the required probability is:

$\text{Required probability } = \dfrac{2}{5}\times \dfrac{3}{4} = \dfrac{3}{10} = \bold{30\%}$

6 0

3 years ago

Write this as a power of 2. ex ( 2^n) requires knowledge of negative exponents

Snowcat [4.5K]

Answer:

Step-by-step explanation:

$\frac{32}{ \sqrt[8]{16} } \\$

Simplify

$\frac{32}{1.414213562} \\ \\ = 22.627417$

Method 2 :

By rationalizing the denominator

7 0

2 years ago

you can see that there is 8 cm in middle of the trapezoid. above the trapezoid, it says 6 cm, below the trapezoid, it says 11 cm

aniked [119]

Answer:

The measure of the longer base is:

9 centimeters

Step-by-step explanation:

We know that the area of a trapezoid with height h and two parallel bases b and b' is given by the formula:

Here we have:

The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters.

i.e.

Step-by-step explanation:

6 0

3 years ago

The sum of two consecutive integers is -239 find the two integers

xenn [34]

Answer:

The two consecutive integers are -119 and -120

Step-by-step explanation:

As we know that these two integers are consecutive, that means that they will have a difference of 1. This means that we can find the two integers by adding 1 to the sum of -239 and then dividing it by two

$1-239=-238\\\frac{-238}{2} =-119\\-119-1=-120$

5 0

3 years ago

What is<br> 5/6h-7/12=-3/4h-13/6

alexandr1967 [171]

Answer:

-1

Step-by-step explanation:

3 0

3 years ago