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Sedbober [7]
3 years ago
13

In his suitcase, Jack has 3 shirts, 4 pants, 2 socks (pairs of socks), and 2 shoes (pairs of shoes). How many unique ways can Ja

ck get fully dressed? Show your work and explain.
Mathematics
1 answer:
kipiarov [429]3 years ago
8 0

Answer:

48

Step-by-step explanation:

the number of shirts are 3, number of pants 4, number of socks pairs 2 and 2 pairs of shoes.

first lets start with shirts and pants, number of unique combinations are,

(for each shirt there are 4 different pant combinations) = (3)(4)

=12

similiarly for each shirt pant pair there are 2 shoes and 2 socks pairs.

thus, total number of combinations are=

(12)(2)(2)

= 48

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An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters.
lawyer [7]

Answer:

7.5cm²

Complete question:What is the surface area of the 8-sided figure?

Step-by-step explanation:

Consider the half of the 8-sided die i.e the pyramid ABCDE:

As the base is 6 of the perimeter, so each side of the base is 6/4=3/2

Now, the distance between the tallest points is 2 cm, so the height of Pyramid ABCDE is 1 cm.

Considering the right triangle EOM:

EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is 

\sqrt{1+ ( \frac{3}{4} )^{2} }=  \sqrt{1+ \frac{9}{16} }= \sqrt{ \frac{25}{16} }= \frac{5}{4}   (cm)

5. So side EBC has area  

\frac{1}{2}BC*EM=  \frac{1}{2}* \frac{3}{2}* \frac{5}{4}= \frac{15}{16}

6. The total area is 8*Area(EBC)=8* \frac{15}{16}= \frac{15}{2}=7.5 ( cm^{2} )

3 0
3 years ago
What is something divided by 6 =7
ratelena [41]
X/6=7 

Hope this helps!
8 0
2 years ago
Read 2 more answers
Last week, Kip went to the fair. It costs $3.50 to enter the fair and $0.75 per ticket. In the equation below, x represents the
marissa [1.9K]

Answer:

16 tickets

Step-by-step explanation:

15.50-3.50=12

12/0.75=16

4 0
2 years ago
Select all of the following statments that are true
Nonamiya [84]

Answer:

A. -¾ + 0 = -¾

B. -¾ - ¾ = -(¾ + ¾)

C. ¾ - ¾ = ¾ + (-¾)

E. -¾ + ¾ = ¾ + (-¾)

F. -¾ + ¾ = 0

Step-by-step explanation:

Let's check each equation to determine whether they are true or false.

If what we have in the both sides are equal, then the equation is true, if they're not, them it is false.

✔️-¾ + 0 = -¾

Add everything on your left together

-¾ = -¾ (TRUE)

✔️-¾ - ¾ = -(¾ + ¾)

Add everything on both sides together respectively

(-3 - 3)/4 = -(3 + 3)/4

-6/4 = -6/4 (TRUE)

✔️¾ - ¾ = ¾ + (-¾)

0 = ¾ - ¾ (+ × - = -)

0 = 0 (TRUE)

✔️-¾ + ¾ = ¾ - (-¾)

0 = ¾ + ¾ (- × - = +)

0 = 6/4 (FALSE)

✔️-¾ + ¾ = ¾ + (-¾)

0 = ¾ - ¾ (+ × - = -)

0 = 0 (TRUE)

✔️-¾ + ¾ = 0

0 = 0 (TRUE)

6 0
2 years ago
What is the total amount and the amount of interest earned on $6,500 at 6% for 25 years?
Deffense [45]
Here's the equation for one year:
0.06(6500) + 6500
But because it is 25 years:
25(0.06(6500)) + 6500
1.5(6500) + 6500
We can make it simpler:
2.5(6500)
The total amount is $16350
3 0
2 years ago
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