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Vladimir79 [104]
2 years ago
6

at a spa, the customer is offered a choice of fice different massages and eight different pedicures. How many different combunat

ions are there of one massage and one peducre
Mathematics
1 answer:
laiz [17]2 years ago
3 0

Answer:

There are 40 different combinations possible of one massage and one pedicure.

Step-by-step explanation:

We have that:

For each combination of messages, there are eight different pedicures.

There are five possible combinations of messages.

So

5*8 = 40

There are 40 different combinations possible of one massage and one pedicure.

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Factorise x 2 + 20 x + 100
S_A_V [24]

Answer:

(x+10)(x+10)

or (x+10)²

Step-by-step explanation:

this factories can use this

a² + 2ab + b²

; (a)² + 2(a)(10) + (b)²

= (a+b)²

hope it helps you ☺️

Any questions (ask me in comments)

6 0
2 years ago
Find the slope between (3,2) and (-2,3)
blagie [28]
(x_1;\ y_1);\ (x_2;\ y_2)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(3;\ 2);\ (-2;\ 3)\\\\\boxed{m=\dfrac{3-2}{-2-3}=\dfrac{1}{-5}=-\dfrac{1}{5}}
3 0
3 years ago
What is the slope of the line represented by the equation y=-1/2x+1/4
Amanda [17]
The slope will be -1/2. If you put it into slope intercept form of y=mx+b, mx will always be the slope. 
7 0
3 years ago
Read 2 more answers
Which statements are true about the graph of y ≤ 3x + 1 and y ≥ –x + 2? Check all that apply. 1.The slope of one boundary line i
zloy xaker [14]

Answer:

2.Both boundary lines are solid.

3.A solution to the system is (1, 3)

5.The boundary lines intersect.

Step-by-step explanation:

we have

y\leq 3x+1 ----> inequality A

The solution of the inequality A is the shaded area below the solid line y=3x+1

The slope of the solid line is 3

The point (1,3) is  a solution of inequality A (lie in the shaded area of the solution set)

y\geq -x+2 ----> inequality B

The solution of the inequality B is the shaded area above the solid line y=-x+2

The slope of the solid line is -1

The point (1,3) is a solution of inequality B (lie in the shaded area of the solution set)

The solution of the system of inequalities is the shaded area between the two solids lines

see the attached figure

<u><em>Verify each statement</em></u>

1.The slope of one boundary line is 2

The statement is False

2.Both boundary lines are solid.

The statement is True

3.A solution to the system is (1, 3)

The statement is True

4.Both inequalities are shaded below the boundary lines

The statement is False

5.The boundary lines intersect.

The statement is True

The intersection point is (0.25,1.75)

see the attached figure

7 0
3 years ago
Read 2 more answers
Consider the following random experiment. First, roll a die and observe the number of dots facing up; then, toss a coin the numb
kipiarov [429]

Answer:

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

B.)

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Step-by-step explanation:

Sample space :

Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

Event that the total number of head is even:

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

3 0
2 years ago
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