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guajiro [1.7K]
3 years ago
7

Zach has 3/4 hour to play video games. It takes him 1/12 hours to set up the system. Each round of his favorite game takes 1/6 h

our. How many rounds can he play?
Mathematics
2 answers:
tiny-mole [99]3 years ago
5 0
1/12 + 1/6x = 3/4...multiply everything by common denominator of 12
1 + 2x = 9
2x = 9 - 1
2x = 8
x = 8/2
x = 4 <== he can play 4 rounds
Marianna [84]3 years ago
5 0
The short answer is four rounds
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Step-by-step explanation:

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For a confidence level of 85%, find the critical value for a normally distributed variable. The sample mean is normally distribu
const2013 [10]

Answer:

The  value is  Z_{\alpha } =  1.439

Step-by-step explanation:

From the question we are told that

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The area of ABED is 49 square units. Given AGequals9 units and ACequals10 ​units, what fraction of the area of ACIG is represent
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Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

A=b^{2}

where b is the length side of the square

we have

A=49\ units^2

substitute

49=b^{2}

b=7\ units

therefore

AB=BE=ED=AD=7\ units

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

A=(AC)(AG)

substitute the given values

A=(9)(10)=90\ units^2

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

A=(DE)(DG)

we have

DE=7\ units

DG=AG-AD=9-7=2\ units

substitute

A=(7)(2)=14\ units^2

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

A=(EF)(CF)

we have

EF=AC-AB=10-7=3\ units

CF=BE=7\ units

substitute

A=(3)(7)=21\ units^2

step 5

sum the shaded areas

14+21=35\ units^2

step 6

Divide the area of  of the shaded region by the area of ACIG

\frac{35}{90}

Simplify

Divide by 5 both numerator and denominator

\frac{7}{18}

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

5 0
3 years ago
The height of a triangle is twice the length of its base. The
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Answer:

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Step-by-step explanation:

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ira [324]

Answer:

8

Step-by-step explanation:

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3 years ago
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