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bogdanovich [222]

3 years ago

15

An electronic store is advertising a discount of 18 percent off the inventory. Constantine buys a DVD player that cost $300. Wha

t is the sale price pf the DVD player?

1 answer:

mel-nik [20]3 years ago

7 0

100 % minus 18 % is 82% or .82

So multiply the price by .82 to get the sale price

300(.82)= 246

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Determine whether each expression is equivalent to 49^2t – 0.5.

vampirchik [111]

Answer:

None of the expression are equivalent to $49^{(2t - 0.5)}$

Step-by-step explanation:

Given

$49^{(2t - 0.5)}$

Required

Find its equivalents

We start by expanding the given expression

$49^{(2t - 0.5)}$

Expand 49

$(7^2)^{(2t - 0.5)}$

$7^2^{(2t - 0.5)}$

Using laws of indices: $(a^m)^n = a^{mn}$

$7^{(2*2t - 2*0.5)}$

$7^{(4t - 1)}$

This implies that; each of the following options A,B and C must be equivalent to $49^{(2t - 0.5)}$ or alternatively, $7^{(4t - 1)}$

A. $\frac{7^{2t}}{49^{0.5}}$

Using law of indices which states;

$a^{mn} = (a^m)^n$

Applying this law to the numerator; we have

$\frac{(7^{2})^{t}}{49^{0.5}}$

Expand expression in bracket

$\frac{(7 * 7)^{t}}{49^{0.5}}$

$\frac{49^{t}}{49^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{49^{t}}{49^{0.5}}$ becomes

$49^{t-0.5}}$

This is not equivalent to $49^{(2t - 0.5)}$

B. $\frac{49^{2t}}{7^{0.5}}$

Expand numerator

$\frac{(7*7)^{2t}}{7^{0.5}}$

$\frac{(7^2)^{2t}}{7^{0.5}}$

Using law of indices which states;

$(a^m)^n = a^{mn}$

Applying this law to the numerator; we have

$\frac{7^{2*2t}}{7^{0.5}}$

$\frac{7^{4t}}{7^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{7^{4t}}{7^{0.5}}$ = $7^{4t - 0.5}$

This is also not equivalent to $49^{(2t - 0.5)}$

C. $7^{2t}\ *\ 49^{0.5}$

$7^{2t}\ *\ (7^2)^{0.5}$

$7^{2t}\ *\ 7^{2*0.5}$

$7^{2t}\ *\ 7^{1}$

Using law of indices which states;

$a^m*a^n = a^{m+n}$

$7^{2t+ 1}$

This is also not equivalent to $49^{(2t - 0.5)}$

6 0

3 years ago

Hello good morning!! Anyone watch anime? My favorite is yu yu hakusho or one piece

topjm [15]

Answer:

Good Morning my favorite is Attack on Titan.

Step-by-step explanation:

3 0

2 years ago

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High temperatures were recorded for 30 consecutive days: 50, 45, 49, 50, 43, 49, 50, 49, 45, 49, 47, 47, 44, 51, 51, 44, 47, 46,

Simora [160]

The answer is 21, you subtract the smallest number (30) by the biggest number (51)

7 0

1 year ago

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What is the answer to this math question?

Andrews [41]

Answer:

2x+a=5bx

Step 1: Add -2x to both sides.

a+2x+−2x=5bx+−2x

a=5bx−2x

Answer:

a=5bx−2x

Step-by-step explanation:

8 0

2 years ago

The perimeter of the rectangle below is 120 units. Find the value of y.<br> 5y - 3<br> 4y

vladimir2022 [97]

Answer:

y =7

Step-by-step explanation:

2(5y-3)+2(4y) = 120 units

10y - 6 + 8y = 120 units

18y= 120+6

y = 126/18

y = 7

5 0

3 years ago