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Lorico [155]
3 years ago
13

A cube has a surface area of 150 square inches (in)

Mathematics
1 answer:
Marta_Voda [28]3 years ago
3 0

Answer:

25in²

Step-by-step explanation:

a cube has 6 faces

all of these are equal

therefore you need to divided 150 by 6

that's 25

the answer is 25 in²

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The school band played at a festival on tuesday the band started playing at 3:48 pm and stopped playing at 6:38 pm how long did
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Step-by-step explanation:

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Draw the graphs of the equations x – y = 1 and 2x + y = 8. Shade the area bounded by these two lines and y-axis. Also, determine
NikAS [45]

Answer:

Using Geometry to answer the question would be the simplest:

Step-by-step explanation:

Remembering the formula for the area of a triangle which is A=\frac12bh. One can then tackle the question by doing the following:

Step 1 Find the y-intercepts

The y-intercepts are found by substituting in x=0.

Which gives you this when you plug it into both equations:

-y=1\\y=-1\\y=8

So the y-intercepts for the graphs are (0,-1)\\, and (0,8) respectively.

Now one has to use elimination to solve the problems by adding up the equations we get:

x-y=1\\2x+y=8\\3x=9\\x=3

Now to solve for the y component substitute:

2(3)+y=8\\y=2

Therefore, the graphs intersect at the following:

(3,2)

Now we have our triangle which is accompanied by the graph.

now to solve it we must figure out how long the base is:

b=8-(-1)\\b=9

The height must also be accounted for which is the following:

h=3

Now the formula can be used:

A=\frac12bh=\frac12(9)(3)=\frac{27}2\ \text{units}^2

7 0
3 years ago
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A coin is tossed 11 times. a) How many different outcomes are possible? b) How many different outcomes have exactly 8 heads? c)
larisa86 [58]

Answer:

a) 2048

b)164

c)54

d) 11

Step-by-step explanation:

a) A coin has two faces.

Outcome possible =2^11= 2048

b) 8 heads possible outcome = 11!/8!3! = 3971688/241/920= 164 ways

c)2 heads outcome= 11!/2!8!= 39716800/725760=54

d) 7 heads= 11!/7!6! =39716800/3628800 = 11

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What two numbers have a product of 16 and a sum of 8?
Vaselesa [24]
4 because 4 x 4 =16 and 4+4=8
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3 years ago
If 2x = 5y + 3, express y in terms of x.
Slav-nsk [51]

Answer:

y = 2/5 x - 3/5

Step-by-step explanation:

2x = 5y + 3

Rewrite

5y + 3 = 2x

Subtract 3 from both sides

5y = 2x - 3

Divide both sides by 5

y = 2/5 x - 3/5

3 0
3 years ago
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