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3 years ago

Calculate the width of a 80” TV if the TV has an aspect ratio of 21:9.

Mathematics

1 answer:

blagie [28]3 years ago

3 0

Answer:

34.29 Inch.

Step-by-step explanation:

The Aspect Ratio of a screen is the ratio of the Width to the Height of the screen.

We are told that the TV screen has an aspect ratio of 21:9

Therefore:

$\dfrac{Width}{Height}=\dfrac{21}{9} \\$Since Width =80''\\\dfrac{80}{Height}=\dfrac{21}{9}\\$Cross multiply\\Height*21=80*9\\Height =(80*9) \div 21\\$Height =34.29$

The height of the TV will be approximately 34.29 Inch.

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Your dinner bill comes to $19.68. Estimate your total cost for dinner with a 5% tax and a 20% tip on the original bill. Justify

barxatty [35]

Estimate:
Bill = $20 approximately.
5% tax on $20 = 20/20=$1
20 % on ($20) = $4
Total cost = $20+1+4 = $25
Total bill = $25 approximately.

Exact calculations
bill = 19.68
tax 5% = 0.98
Tip 20% of original = 3.94
Total bill = 19.68+0.98+3.94 = 24.60

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3 years ago

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2 years ago

Which expression has the same GCF as 15x2 - 21x?

Mice21 [21]

Answer:

$15x^2 +21 x$

Step-by-step explanation:

We have the following expression:

$15x^2 -21 x$

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are -21,-7,-3,-1,1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

If we consider the new expression:

$15x^2 +21x$

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are 1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

And as we can see both GCF are equal. So then we satisfy the condition required.

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3 years ago

Read 2 more answers

Simplify: –3(x – 5) – 8(y + 2) + (–3)(6 – 4b)

Paha777 [63]

-3 (x - 5) - 8 (y + 2) + (-3) (6 - 4b)

First, simplify your brackets. / Your problem should look like: -3 (x - 5) - 8 (y + 2) + -3 (6 - 4b)
Second, simplify. / Your problem should look like: -3 (x - 5) - 8 (y + 2) - 3 (b - 4b)
Third, expand your problem. / Your problem should look like: -3x + 15 - 8y - 16 - 18 + 12b
Fourth, simplify. / Your problem should look like: -3x - 8y + 12b - 19

Answer: -3x - 8y + 12b - 19 (D)

3 0

3 years ago

Read 2 more answers