12
Mackenzie wants to buy a backpack that cost $60. If the tax rate is 7.5%, how much tax will she
pay?

First, you find the slope.

This is done by plugging in to the equation y2 - y1 / x2 - x1

Let 6 and 4 by x2 and y2 and 4 and 1 be x1 and y1.

4-1 / 6-4 = 3/2

The slope is 3/2.

Now, y = 3/2 x +b

To solve for b, plug in a point.

I plugged in (6, 4)

4 = 3/2(6) + b

4 = 9 + b

-5 = b

So, the equation is y = 3/2 x - 5

Hope this helps

[tex]y = \frac{3}{2} x - 5[/tex]

Answer:

A

Step-by-step explanation:

you do 1.49 x 0.79 to find the remaining amount after the discount and it is 1.09

Answer:

Step-by-step explanation:

Using the formula for calculating confidence interval

CI = xbar±z×S/√n

xbar is the mean of the sample

z is the z score at 90% = 1.645

S is the standard deviation of the score

n is the sample size = 26

Since we are not given the scores, we can assume the values of our mean and standard Deviation

Let xbar = 38

S = 3.0

Substitute the given values into the formula

CI = 38±(1.645×3.0/√26)

CI = 38±(1.645×3.0/5.099)

CI = 38±(1.645×0.5884)

CI = 38±0.9678

CI = (38-0.9678, 38+0.9678)

CI = (38.0322, 38.9678)

CI = (38.0, 38.9)

Hence the 90% confidence interval for the true mean of statistics exam scores is 38.0≤p≤38.9

Note that the we will need to generate the mean and standard deviation from the data but since we are not given the required data, we had to assume the value we used in calculation.

Answer:

$75

Step-by-step explanation:

30*2.5 = 75

Answer:

3(2r+2) = 6r + 6

Step-by-step explanation:

Three times to is six just add the ''r'' to the six and you have six ''r'' then youdo three times two which is six

Answer:

$160.50

Step-by-step explanation:

You multiply $150 by .15 to find out what 15% of it  (10.50)

You add the values to get $160.50

10.5 is  the sales tax on clothing that costs $150

percentage, a relative value indicating hundredth parts of any quantity.

Given that Sales tax is calculated as a percentage of the sales price.

sales tax is 7%

We need to find the the sales tax on clothing that costs $150

Convert 7% to the decimal value by dividing with 100.

7/100=0.07

Now multiply 0.07 with 150

0.07×150

Zero point zero seven times of one hundred and fifty.

10.5

Hence, 10.5 is  the sales tax on clothing that costs $150

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Answer:

I think d or b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

[tex] - 3{(y + 2)}^{2} - 5 + 6y \\ - 3(y + 2)(y + 2) - 5 + 6y \\ ( - 3y - 6)(y + 2) - 5 + 6y \\ - 3 {y}^{2} - 6y - 6y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y + 6y - 12 - 5 \\ - 3 {y}^{2} - 6y - 17[/tex]

[tex]-3y^{2}-6y-17[/tex]

Answer:

3 or 2 is the answer to the question

Answer:

y=-2/3x

I think that's the simplest form

Answer: 11 1/3 (eleven and one third)

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

divide 135 by 45 to get your answer

Answer:

Patel found an incorrect quotient and checked his work using multiplication incorrectly.

Step-by-step explanation:

After completing the fraction division 8 divided by StartFraction 1 Over 6 EndFraction, Patel used the multiplication below to check his work.

Correct calculation

8 ÷ 1/6

= 8 × 6/1

= 48

Check:

1/6 * 48

= 48 / 6

= 8

Patel's calculation

1/48 * 6

= 1/48 * 6/1

= 6/48

= 1/8

Patel found an incorrect quotient and checked his work using multiplication incorrectly.

Answer:

D on edge

Step-by-step explanation:

have a great day :)

hope this helps :)

Given:

The system of equations that represent the constraints for the given situation is

[tex]x+y=4.25[/tex]

[tex]16.90x+4y=36.35[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]x+y=4.25[/tex]           ...(i)

[tex]16.90x+4y=36.35[/tex]           ...(ii)

Multiply equation (i) by 4.

[tex]4x+4y=17[/tex]           ...(iii)

Subtracting (iii) from (ii), we get

[tex]16.90x+4y-(4x+4y)=36.35-17[/tex]

[tex]16.90x+4y-4x-4y=19.35[/tex]

[tex]12.90x=19.35[/tex]

Divide both sides by 12.90.

[tex]x=\dfrac{19.35}{12.90}[/tex]

[tex]x=1.5[/tex]

Put this value in (i).

[tex]1.5+y=4.25[/tex]

[tex]y=4.25-1.5[/tex]

[tex]y=2.75[/tex]

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

Answer:

f(5) = 82

Step-by-step explanation:

To evaluate f(5) substitute x = 5 into f(x) , that is

f(5) = 3(5)² + 7 = 3(25) + 7 = 75 + 7 = 82

x-2=0 answer

Step-by-step explanation:

x=-2 move constant to the left by adding its opposite to both sides

x+2=2-2 the sum of two opposites equals 0

x-2=0

ANSWER X-2=0

Answer:

[tex]x^3-3x^2-10x+24[/tex]

Step-by-step explanation:

The first thing that you have to do is take the roots that you're given and write binomial products.

[tex]x= 2, -3, 4[/tex]

[tex](x-2)(x+3)(x-4)[/tex]

Remember that a root is the value of "x" in a binomial expression, so the binomial expression itself will have the opposite sign of the root.

The next thing you have to do is multiply the roots together. A good way to do this is the "box method."

(See attachment below for the multiplication of [tex](x-2)[/tex] and [tex]x+3[/tex]. )

Next, multiply your new trinomial by your remaining binomial. (See additional attachment below for the multiplication of [tex](x^2+x-6)[/tex] and [tex](x-4)[/tex])

The resulting polynomial is [tex]x^3-3x^2-10x+24[/tex].

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]6a^{2} - 24 = 0\\6a^{2} - 24 + 24 = 0 + 24 \\6a^{2} = 24\\\frac{6a^{2}}{6} = \frac{24}{6} \\a^2 = 4\\a = \sqrt{4} \\a = +2, -2[/tex]

Answer:

0.83

Step-by-step explanation:

Answer:

0.83 A

Step-by-step explanation:

Answer:

a and b connect to d in the slope

Step-by-step explanation:

Answer:

Aight mate

Step-by-step explanation:

So every triangles angles will add up to 180 degrees no matter the triangle. Now a circle is 360 and a line is 180. Look at the line that A and C are on this line equals 180. So angle c and d added together make 180 and angles a b and c added together make 180. so if a+b+c = c+d then a+b=c. I hope thaqtmakes sense.

Answer: 1,3,5

Step-by-step explanation:

Just took the quiz

Answer:

2,3,5

Step-by-step explanation: i got it right on my test

i hope this helps sorry if it didn't

Answer:

(8 + 9) ÷ 3 = x

Step-by-step explanation:

You first need to add 8+9, so you put them in parenthesis for PEMDAS

Then you divide them by 3

Finally, you make the answer a variable as an algebraic expression involves variables and the answer is not given

Answer:

The least number of plates and cups she can buy is 24

She will buy 3 packs of plates

She will buy 2 packs of cup

Step-by-step explanation:

Plates = 8 per pack

Cups = 12 per pack

Find the Lowest common multiple of 8 and 12

8 = 16, 24, 32, 40, 48, 56, 64, 72, 80

12 = 24, 36, 48, 60, 72

What is the least number of plates and cups she can buy?

The Lowest common multiple of 8 and 12 is 24

The least number of plates and cups she can buy is 24

How many packs of plates?

Packs of plates = 24 plates / 8 per pack

= 3 packs

She will buy 3 packs of plates

How many packs of cups?

Packs of cups = 24 / 12 per pack

= 2 packs

She will buy 2 packs of cup

Given :

Money Katie has, M = $30.

She has found a bracelet with a regular price of $45 and a discount of 35%.

The sales tax is 7%.

To Find :

Will she have enough to buy the bracelet.

Solution :

Original price = $45 .

Price after discount = $( 45 - 45×0.35) = $29.25 .

Selling Price = $( 29.25 + 29.25×0.07 ) = $31.2975 .

Since, selling price is greater than $30.

Money needed = $( 31.2975 - 30 ) = $1.2975 .

Therefore, Katie will not buy the bracelet.

The decimal equivalent to 9 1/3 is

SBS: step multiply whole number 1:9 x 3=27 step add product 2: 27+1=28 step 3 divide: 28 ÷ 3= 9.333333

Final answer in decimal form: 9.33

Therefore, the answer is C

The equivalent from of [tex]9\frac{1}{3}[/tex]   ⇒ 9.

The given mixed fraction is,

[tex]9\frac{1}{3}[/tex]

Now to convert it into decimal form

First of all convert it into simple fraction

So numerator of [tex]9\frac{1}{3}[/tex] is  formed by  multiplying 3 with 9 then add 1

and denominator remains same as 3

Therefore,

Simple fraction be

[tex]9\frac{1}{3}[/tex]  ⇒ (9x3 + 1)/3

     = 28/3

Now divide 28 by 3

we get,

9.333333

Here,

It is non terminating number

And 3 is repeating after decimal

therefore,

The decimal form of [tex]9\frac{1}{3}[/tex] ⇒ 9.[tex]\frac{}{3}[/tex]

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Answer:

33

Step-by-step explanation:

Answer:

29c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let L = Lucy, C = Carol and A = Arita , x = Total amount of marbles

Lucy shares 1/3 with Carol and keeps 1/4 for herself.

This means that Carol has 1/3 of the total amount of marbles, Lucy has 1/4 of the total amount of marbles.

C = 1/3x

L = 1/4x

We are also told that Carol has 7 more marbles than Lucy

C = L + 7

Since C = 1/3x  and L = 1/4x you can sub these into the above equation and you get:

1/3x = 1/4x + 7

Subtract 1/4x from both sides

1/3x - 1/4x = 7

1/12x = 7

Multiply both sides by 12 to find x.

x = 7 times 12 = 84 (Total amount of marbles = 84)

Amrita gets the remaining number of marbles.

A = x - C - L

A = 84 - 1/3 (84) - 1/4 (84)

A = 35