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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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Solve for x 1/2+4/2x=x+4/10
Ksivusya [100]
\frac{1}{2} + \frac{4}{2}x =x + \frac{4}{10}
\frac{1}{2} +2x=x+\frac{2}{5}
subtract x from each side
\frac{1}{2} + x=\frac{2}{5}
now subtract \frac{1}{2} from each side 
x= -0.1

Hope I could help
7 0
3 years ago
Read 2 more answers
In the xy-coordinate plane, a line has a slope of −5/3. If the line crosses the y-axis at (0, b), at what point does it cross th
KatRina [158]

Answer:

(\frac{3}{5} b, 0 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - \frac{5}{3} and b = b , thus

y= - \frac{5}{3} x + b ← equation of line

The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is

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- 5x + 3b = 0 ( subtract 3b from both sides )

- 5x = - 3b ( divide both sides by - 5 )

x = \frac{3}{5} b , thus

x- intercept = ( \frac{3}{5} b, 0 )

6 0
2 years ago
Mrs. Dominguez asked her students to plot the number of books they read over the summer
Assoli18 [71]

Answer: Count the dots located on the blot labeled at 2.

There are 6 dots, which mean 6 students read 2 books.

The answer is 6.

Step-by-step explanation:

7 0
3 years ago
Zoe goes out to lunch. The bill
DanielleElmas [232]

Answer:

$60

Step-by-step explanation:

To find how much Zoe paid before the sales tax and tip, we first need to consider the amount she paid in sales tax and tips.

Sales tax  + Tips = $18.60

Let x = original price

Sales tax = 11% * original price

Sales tax = 0.11 * x

x= 0.11x

Tips = 20% * original price

Tips = 0.20 * x

x = 0.2x

Now that we have a value for both the sales tax and tips, we can then proceed to find the original price by:

0.11x + 0.2x = 18.60

0.31x = 18.60

Now we need to divide both sides by 0.31 to find x.

x = 60

Zoe's dinner before the sales tax and tips was $60.

5 0
2 years ago
Read 2 more answers
m∠RSU = (7x + 3)° and m∠UST = (11x − 21)°. If ∠RSU and ∠UST are complementary, what is the measure of each angle?
Stels [109]

Step-by-step explanation:

m∠RSU + m∠UST = 90° (as complementary angles)

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so, m∠RSU = (7x + 3)° = 7(6)+3 = 45°

and m∠UST = (11x − 21)° = 11(6) -21 = 45°

3 0
3 years ago
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