Write a system of equations representing the situation to find the price of each large candle, x and each small candle, y.

4+(-4)=0 what property is this?

Llana [10]

Answer:

Zero property

Step-by-step explanation:

We are making a equation equal 0

7 0

3 years ago

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

Find the measure of each angle indicated.

Brilliant_brown [7]

Answer:

90 degrees

Step-by-step explanation:

Sum of the angles in a triangle = 180°

Opposite angles are equal

For two parallel lines and a transversal,

corresponding angles are equal, and

alternate angles are equal.

45+45=90.

180-90=90

Plus, you can see that the angle forms a perfect 90 degree angle.

5 0

3 years ago

I appreciate any help! Thank you in advance!

enyata [817]

Answer:

A

Step-by-step explanation:

Rate of change is another term for slope

HTH :)

7 0

3 years ago

Read 2 more answers

Find the value of x and y that make the quadrilateral

vitfil [10]

The quadrilateral have equal opposite sides, for example:

Then, (4x + 6) must be equal to (7x - 3), and (4y - 3) is equal to (3y + 1), therefore

$4x+6=7x-3$

We can solve that equation for x

$\begin{gathered} 4x+6=7x-3 \\ \\ 3x=9 \\ \\ x=\frac{9}{3}=3 \end{gathered}$

Hence, x = 3. Now let's solve the other equation

$\begin{gathered} 4y-3=3y+1 \\ \\ y=4 \end{gathered}$

Then the value of y is 4.

Final answers:

x = 3

y = 4

4 0

1 year ago