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Evgen [1.6K]
3 years ago
6

Rylan is testing 2 different types of nail polish on her fingernails to determine which one lasts longer. She purchases Brand A

and Brand B from the drug store. She then paints her nails with Brand A and her sister's nails with Brand B. She compares the nail polish at the end of the week and determines that Brand B lasts longer because there are fewer chips than Brand A. Why is her conclusion not valid?
Mathematics
1 answer:
frosja888 [35]3 years ago
4 0

Answer:

RYLAN MY MAAAN

Step-by-step explanation:

WASSOP WITH YOUR NAILS. her conclusion is not valid because it would last less

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The new total is 60%, but the sales tax is 5% of the bill. how much is the salestax?
Nataly_w [17]

Answer:

Sales tax is 8.33 % of new total

Step-by-step explanation:

Let

Your bill =1000

New total 60%=1000*60/100=600

5% sale tax on whole bill price =1000*5/100=50

To deduct 5% sale tax in 60% of new total the % are=50/600=0.0833*100=8.33%

So,

Sale tax is 8.33% of new total 60%.

6 0
3 years ago
Solve the quadratic equation (2x-3)^2 = 6(3-2x)
LenKa [72]

Answer:

x=\frac{3\sqrt{2}-3 }{2}

x=-\frac{3\sqrt{2}-3 }{2}

Step-by-step explanation:

Open the brackets first:

4x^2+9=18-12x

Simplify:

4x^2+12x-9=0

It is determined that this can't be factored, so rewrite the equation so you can complete the square.

x^2+3x=\frac{9}{4}

Take the square of 1.5 and add it to both sides:

x^2 + 3x+ \frac{9}{4} =\frac{9}4} +\frac{9}{4}

Factor:

(x+\frac{3}{2})^2=\frac{9}{2}

x+\frac{3}{2} = \frac{3\sqrt{2} }{2 }

or x+\frac{3}{2} =-\frac{3\sqrt{2} }{2}

So x=\frac{3\sqrt{2}-3 }{2}

or x=-\frac{3\sqrt{2}-3 }{2}

5 0
3 years ago
How to express each of the following pairs of
vichka [17]

Answer:

<em>a) 3<x<8</em>

<em>b) -4<x<-2</em>

<em>c) -6<x<5</em>

<em>d) -21/4 < x-8/3</em>

<em>e) 0<x<7</em>

Step-by-step explanation:

Given the following inequalities

a)  x > 3, 2x - 3 < 15

Solve 2x - 3 < 15

2x < 15+3

2x<18

x<18/2

x<8

Combine x>3 and x<8

If x>3, then 3<x

On combining, we have:

3<x<8

b) For the inequalities 25 > 1 - 6x, 1 > 3x + 7

25 > 1 - 6x

25-1>-6x

24>-6x

Divide through by -6:

24/-6 > -6x/-6

-4 <x

For the inequality 1 > 3x + 7

1-7>3x

-6>3x

-6/3 > 3x/3

-2 > x

x < -2

Combining both results i.e -4 <x and x < -2, we will have:

-4<x<-2

c) For the inequalities 2x - 7<3< 27 + 4x

On splitting:

2x - 7<3 and 3< 27 + 4x

2x < 3+7

2x<10

x<5

Also for 3< 27 + 4x

3-27<4x

-24<4x

-24/4 < 4x/4

-6<x

Combining both solutions i.e x<5 and -6<x will give;

<em>-6<x<5</em>

d) For the inequalities 3x + 8 <0 < 21 + 4x

3x + 8 <0

3x < -8

x < -8/3

Also for 0 < 21 + 4x

0-21<4x

-21<4x

-21/4 < 4x/4

-21/4 < x

Combining -21/4 < x and x < -8/3 will give;

<em>-21/4 < x-8/3</em>

<em></em>

e) For the inequalities 5x - 36 < -1 < 2x – 1​

Split:

5x - 36 < -1

5x < -1+36

5x<35

5x/5 < 35/5

x < 7

For the expression -1 < 2x – 1​

-1+1 < 2x

0 < 2x

0<x

Combining both inequalities 0<x and x < 7 will give:

<em>0<x<7</em>

7 0
3 years ago
Write y = 4/3 * x - 2/3 in standard form <br><br> Helpplppppp
raketka [301]

Answer:

4x - 3y = 2

Step-by-step explanation:

First, let's review what "standard form" signifies:  Ax + By = C.

Starting with y = 4/3 * x - 2/3, multiply all three terms by 3 to eliminate the fractions:

3y = 4x - 2

Next, subtract 3y from both sides:

0 = 4x - 3y - 2.

It would be nice (tho' not essential) to have the coefficient of x positive.  That is why I've left 4x on the right side and subtracted 3y from both sides.

finally, add 2 to both sides, obtaining 4x - 3y = 2.  This is the equation in standard form.

3 0
3 years ago
The total of 24 and a number x as an algebraic phrase
mote1985 [20]

Answer:

24+x

Step-by-step explanation:

We need to find the expression for the following phrase i.e. the total of 24 and a number x.

Total means we need to add two numbers.

i.e.

Expression = 24+x

Hence, this is the required solution.

3 0
3 years ago
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