How do you figure out this word problem: Peter has 6 sweaters, 4 pairs of jeans and 3 pairs of shoes. How many outfits can Peter make?

Answers

Answer 1

Answer: $\underbrace{6}_(sweaters)*\underbrace{4}_(jeans)*\underbrace{3}_(shoes)=\underbrace{72}_(outfits)$

Answer 2

Answer: You multiply Peter's 6 sweaters by is 4 pairs of jeans and 3 pairs of shoes.
6x4x3=73
:P

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The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?y = -1/5 (x – 2)(x + 3)
y = -1/3(x – 2)(x + 3)
y = -1/2 (x + 2)(x – 3)
y = 1/4 (x + 2)(x – 3)

Answers

The right answer for the question that is being asked and shown above is that: "y = -1/3(x – 2)(x + 3)." The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. the equation can be used to model the image of the lens is y = -1/3(x – 2)(x + 3)

Answer:

y = - 1/2 (x + 2)(x – 3) is the right answer

Step-by-step explanation:

Is .32903 greater than 0.59

Answers

No, .32903 is not greater than 0.59

It does not matter how long is the number after the point. As 5 is bigger than 3, 0.32903 is smaller than 0.59

The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price each of senior citizen ticket and one student ticket?

Answers

The price of senior citizen ticket is 8 and price of student ticket is 14.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let x be the price of senior citizen ticket

y be the price of student ticket.

On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102.

4x+5y=102..(1)

The school took in $126 on the second day by selling 7 senior citizen tickets and 5 studenttickets.

7x+5y=126..(2)

Subtract equation 1 and 2

4x+5y-7x-5y=102-126

-3x=-24

Divide both sides by 3

x=8

Now let us find y

4(8)+5y=102

32+5y=102

Subtract 32 from both sides

5y=102-32

5y=70

y=14

Hence, the price of senior citizen ticket is 8 and price of student ticket is 14.

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Let:
x = cost of senior citizen ticket
y = cost of student ticket

4x + 5y = 102
7x + 5y = 126

4x + 5y = 102
4x = 102 - 5y
x = (102 - 5y)/4
x = 102/4 - 5y/4

7x + 5y = 126
7(102/4 - 5y/4) + 5y = 126
(714/4 - 35y/4) + 5y = 126
-35y/4 + 5y = 126 - 714/4

note:
-35y/4 = -8.75y
714/4 = 178.5

-8.75y + 5y = 126 - 178.5
-3.75y = -52.5
y = -52.5/-3.75
y = 14

x = 102/4 - 5y/4
x = 102/4 - 5(14)/4
x = 8

x = cost of senior citizen ticket = $8/ea
y = cost of student ticket = $14/ea

Write a proof for the conjecture using the contrapositive.
If 5x + 7 = -13, then x = -4.

Answers

The contrapositive of this statement would be: "If x does not equal -4, then 5x + 7 will not equal to -13."

what is contrapositive?

The contrapositive is defined as the inverse and converse of a conditional statement.

X is equal to 4 we know this is because the sign in between the number means greater than or equal to so 3 x 4 equals 12 which makes the equation on right true and on the left x.

So, the contrapositive of this statement would be:

"If x does not equal -4, then 5x + 7 will not equal to -13."

Learn more about contrapositive ;

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If 75% of a number is 108, what is the number? a. 32
b. 81
c. 113
d. 144