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3 years ago

13

Selena bought a shirt on sale that was 20% less than the original price. the original price was five dollars more than the sale

price. what was the original price ?

1 answer:

8090 [49]3 years ago

5 0

20%+5=x x=original price

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Which equation has the solutions x = -3 ± √3i/2 ?

Maurinko [17]

Answer:Answer is option C : [ $x^{2}$ + 3x + 3 ] =0

Note: None of options matches with given question.

instead of "-3" , there should be "- $\frac{3}{2}$ ".

Step-by-step explanation:

Note: None of options matches with given question.

instead of "-3" , there should be " $\frac{3}{2}$ ".

Here, First thing you have to observe the nature of roots.

∴ x = - $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i and x = - $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$

∴ [ x+( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i) ][ x+( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i) ]=0

∴ [ $x^{2}$ + x( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i)+ x( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i) + ( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i)( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i) ]=0

∴ [ $x^{2}$ + $\frac{3}{2}$ x + $\frac{\sqrt{3}}{2}$ ix + $\frac{3}{2}$ x - $\frac{\sqrt{3}}{2}$ ix + (3- $\frac{\sqrt{3}}{2}$ i)(3+ $\frac{\sqrt{3}}{2}$ i) ] =0

∴ [ $x^{2}$ + 3x + ( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i)( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i) ] =0

∴ [ $x^{2}$ + 3x + $\frac{9}{4}$ - ( $\frac{\sqrt{3}}{2}$ i)( $\frac{\sqrt{3}}{2}$ i) ] =0

∴ [ $x^{2}$ + 3x + $\frac{9}{4}$ - ( $\frac{3}{4}$ ) $i^{2}$ ] =0

∴ [ $x^{2}$ + 3x + $\frac{9}{4}$ + ( $\frac{3}{4}$ ) ] =0

∴ [ $x^{2}$ + 3x + $\frac{12}{4}$ ] =0

∴ [ $x^{2}$ + 3x + 3 ] =0

Thus, Answer is option C : <em>[ $x^{2}$ + 3x + 3 ] =0 </em>

6 0

4 years ago

Summer Dave builds a crate to hold vegetables the volume of the crate is 48 ft.³ the base area of the crate is 16 ft.² what is t

MariettaO [177]

The height of crate is 3 feet

<em><u>Solution:</u></em>

Given that Summer Dave builds a crate to hold vegetables

Volume of crate = 48 cubic feet

Base area of crate = 16 square feet

To find: height of crate

The crate is of shape cuboid

The volume of cuboid is given as:

$volume = length \times width \times height$

We know that,

$Area\ of\ base = length \times width$

Therefore, volume becomes,

$volume = base\ area \times height$

Substituting the given values we get,

$48 = 16 \times h\\\\h = \frac{48}{16}\\\\h = 3$

Thus height of crate is 3 feet

6 0

3 years ago

A map of a bike race has a scale of 2 inches=50 miles. The distance to the 1st aid station from the starting line is about 1.25"

svp [43]

2 inches = 50 miles
1 inch = 25miles
0.5 inches = 12.5 miles
0.25 inches = 6.25
you need 1.25 so you do 25+ 6.25 and get 31.25. To the nearest mile this would be 31 miles.

4 0

3 years ago

PLZ I NEED THIS ASAP!!! ILL GIVE YOU BRAINLIST!!

Taya2010 [7]

Answer:yes. For every month $16 is added

Step-by-step explanation:

6 0

3 years ago

Integer Operation:<br> Adding Integers<br> 1) 85 + (-96) =

FromTheMoon [43]

Anytime your adding a negative number, its the same as subtract a positive number.

85 + (-96) → 85 - 96

85 - 96 = -11

Best of Luck!

4 0

3 years ago