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3 years ago

Jeffrey is a kickboxing instructor who will be teaching classes at a local gym. To get certified

1 answer:

7 0

If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.

Step-by-step explanation:

Amount spent on certification = $200

Base salary = $50

Payment per class = $3

Let, x be the number of classes.

J(x) = 50+3x

He needs to earn $200 dollars in first month, therefore,

50+3x=200

$3x=200-50\\3x=150$

Dividing both sides by 3

$\frac{3x}{3}=\frac{150}{3}\\x=50$

If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.

Keywords: function, linear equation

Learn more about functions at:

#LearnwithBrainly

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Write this statement as a conditional statement in the form “if p, then q.”

12345 [234]

Answer:

if two angles are supplementary angles, then the sum of their angle measures is equal to 180°.

Step-by-step explanation:

the if p statement is called the hypothesis of the conditional statement.

the then q statement of the conditional statement is called the conclusion.

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3 years ago

What is the graph of the equation 4x – 5y = 15?

pshichka [43]

4x - 5y = 15
put x=0, 4(0) - 5y = 15
-5y = 15
y = -3
coordinates (0,-3)
put y=0, 4x - 5(0) = 15
x = 15/4
coordinates (15/4,0)
put y=1, 4x - 5(1) =15
4x = 20
x = 5
coordinates (5,1)

Plot the three coordinates to obtain a straight line.
Note: You can also use other points rather from what i mentioned.

Hope it helped!

6 0

4 years ago

A box contains 12 chocolates, 3 of which are white chocolate, 4 milk chocolate, and 5 dark chocolate. I am sharing the box with

Kay [80]

Answer:

Step-by-step explanation:

Given that a box contains 12 chocolates, 3 of which are white chocolate, 4 milk chocolate, and 5 dark chocolate.

a) the chance that I draw a dark chocolate

b) Given that none of my friends draws a dark chocolate, the chance that I draw a dark chocolate is

$\frac{5}{9}$ since now all 5 dark chocolates would be there and total changed to 9 because 3 friends took 1 each.

c) All four drawn milk chocolates would be

$\frac{4C4}{12C4} \\=\frac{1}{495}$

d) the chance that the friend who gets to select first draws a dark chocolate and I draw a dark chocolate too

=P(first friend draws a dark chocolate) * P(I draw a dark chocolate)

When it comes to me chances are either there are 4 dark, or 3 dark, or 1 dark depending upon the other two friends drew black or not

= $\frac{5}{12} *\frac{7}{11} *\frac{6}{11} +2(\frac{5}{12} *\frac{4}{11} *\frac{7}{11} ) +\frac{5}{12} *\frac{4}{11} *\frac{4}{11} \\= \frac{140+280+80}{1452} \\=\frac{500}{1452} \\=\frac{125}{363}$

4 0

3 years ago

A rectangular garden has an area of 154 square feet. If its width is 11 feet, what is its length?

kakasveta [241]

Answer:

$Width = 14feet$

Step-by-step explanation:

Given

$Area = 154$

$Width = 11$

Required

The length

Area is calculated as:

$Area = Length * Width$

Make Width, the subject

$Width = \frac{Area}{Length}$

So, we have:

$Width = \frac{154}{11}$

$Width = 14feet$

4 0

4 years ago

the axis of symmetry of a quadratic equation is x = –3. if one of the zeroes of the equation is 4, what is the other zero?

FinnZ [79.3K]

ANSWER

The other zero is

$x = - 10$

EXPLANATION

The axis of symmetry serves as the midpoint of the two zeroes.

We were given that the axis of symmetry of the quadratic equation is
$x = - 3$

We were also given that, one of the zeroes of the quadratic equation is
$x = 4$

Let the other zero of the quadratic equation be
$x = p$

,then, we apply the midpoint formula to find the value of
$p$

Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,

$\frac{x_1 + x_2}{2} = axis \: of \: symmetry$

We substitute to obtain,

$\frac{p + 4}{2} = - 3$

We multiply through by 2 to get,

$p + 4 = - 6$

This implies that,

$p = - 6 - 4$

$p = - 10$

3 0

3 years ago

Read 2 more answers