Find the sum. Express your answer in simplest form.

Answer:

$45

Step-by-step explanation:

To solve the question we need to calculate what 10% of 450 is and to do that we multiply 450 with 10 an divide that by 100

450 x 10 / 100 = 45

This is the amount of commission she made last month.

Step-by-step explanation:

[tex]4 {x}^{2} - 3x + 2 = 0[/tex]

We know that,

For the given quadratic equation

[tex]a {x}^{2} + bx + c = 0[/tex]

[tex]x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

On comparing with the given equation we get

a=4,b=(-3),c=2

On substituting we get,

[tex]x = \frac{ - ( - 3) ± \sqrt{ {( - 3)}^{2} - 4(4)(2)} }{2(4)} [/tex]

[tex]x = \frac{3 ± \sqrt{9 - 32} }{8} [/tex]

[tex]x = \frac{3 + \sqrt{23}i }{8} or x = \frac{3 - \sqrt{23}i }{8} [/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]

[tex] \sf \red{solve \: for \: x}[/tex]

[tex] \sf \red{ \bold{4x^{2} - 3x + 2 = 0}}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Solution:}}}}}}[/tex]

Here,

a = 4, b = - 3 and c = 2

By, using Quadratic formula, we get:

[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4.a.c } }{2.a} \\ \\ = \frac{ - ( - 3) \pm \sqrt{ { (- 3)}^{2} - 4 \times 4 \times 2 } }{2 \times 4} \\ \\ = \frac{3 \pm \sqrt{9 - 32} }{8} \\ \\ = \frac{3 \pm \sqrt{23} }{8} \\ \\ = \frac{3 \pm4.79}{8} [/tex]

Either,

[tex] \frac{3 + 4.79}{8} \\ \\ = \frac{7.79}{8} \\ \\ = 0.97[/tex]

Or,

[tex] \frac{3 - 4.79}{8} \\ \\ = \frac{ - 1.79}{8} \\ \\ = - 0.23[/tex]

[tex] \boxed{ \huge \frak \red{brainlysamurai}}[/tex]

Answer: 13.5 ounce bottle for $2.19

a 29.2 ounce bottle for $5.37

The 29.2 ounce bottle is better

Step-by-step explanation:

13.5 ounce bottle for $2.19

a 29.2 ounce bottle for $5.37

find the ratios

13.5/2.19 = $6.16 per unit

29.2/5.37 = $5.44 per unit

The correct answer would be a square

Answer:

y = -6x - 57

Step-by-step explanation:

We are given that a line passes through the point (-9, -3) and has a slope of -6

We want to write the equation of this line.

There are 3 ways to write the equation of the line, with the most common way being slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope of the line, we can immediately plug that in the equation for m

Substitute m with -6.

y = -6x + b

Now we need to find b

As the equation passes through the point (-9, -3), we can use its values to help solve for b.

Substitute -9 as x and -3 as y.

-3 = -6(-9) + b

Multiply

-3 = 54 + b

Subtract 54 from both sides

-57 = b

Substitute -57 as b in the equation.

y = -6x - 57

Topic: finding the equation of the line

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Answer:

Formula  for arc length  =

arc length  =  r  θ         where θ is in radians

So  we  have

2pi  =  5 θ             solve for θ  and we have that

θ  =  [ 2 pi ]  / 5

The area  of the sector   =

(1/2) r^2 θ   =   (1/2)(5^2) (2pi) / 5   =   5 pi  in^2  ≈ 15.7  in ^2

The rectangular  shape  has more area  = (5 * 4)   = 20 in ^2

Step-by-step explanation:

I don't think this will help but hope it does

Answer:

(-4)³ = -64

(4)⁻³ = 1/64

Step-by-step explanation:

[tex]( - 4) {}^{3} = ( - 4) \times ( - 4) \times ( - 4) = - 64 \\ [/tex]

[tex] {4}^{ - 3} = (\frac{1}{4} ) {}^{3} \\ [/tex]

[tex] ({ \frac{1}{4} )}^{3} = \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{64} \\ [/tex]

The function shown in the graph is the parabolic function with its vertex at (-1, -2). Then the value of the function f(1) is 2.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph is given below.

At x = 1, the value of the function will be

f(1) = 2

Then the function shown in the graph is the parabolic function with its vertex at (-1, -2).

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each interior angle= 168°

the number of sides the polygon has.

180- 360/n= 168

12= 360/n

n= 360/12

n= 30

therefore, the polygon has 30 sides.

the answer to your question is 30 sides

hope this helps

Answer:

Step-by-step explanation:

Discussion

Question One

The first question is just to derive a formula that represents the cost of anything bought in Idaho.

c = p + 6/100 * p

c = p + 0.6 * p

c = 1.06 p

Question Two

The second question requires an entirely different formula. You don't use the first formula. You just use it's idea. Further, you take the sales tax only when you know how much money has exchanged hands.

c  = (p - 30/100 p) + 6/100*(p - 30/100 * p)

c = (p - 0.3p) + 0.06* (p - 0.3p)

c = 0.7 p + 0.06*(0.7p)                          Combine the right side

c = 0.7p + 0.042p                                 Combine

c = 0.742p

33.39 = 0.742p                                        Divide by 0.742

33.39/0,742 = p                            

p = 45 dollars

The original cost was 45 dollars

Answer: 1 3/4

Step-by-step explanation:

8 1/2 - 6 3/4

change the 1/2 to 2/4

then take away 1 from 8 and add 4 to the 2 and it gets 6

6-3=3

7-6=1

Answer:

4 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height.

So . .

= 4.5  or 4 [tex]\frac{1}{2}[/tex]

Answer: the answer is 4½. It can be as a fraction 4½ and as a decimal 4.5.

Step-by-step explanation: when you find the volume , you will multiply the base area times the height . So Multiply them all .

1½ ×1½ × 2 = 4 ½ or 4.5 .

HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS FRIEND .

Based on the vertical angles theorem, the measure of angle 1 is: 48°.

Vertical angles are always directly opposite each other and are formed when two straight lines crosses each other.

In the diagram given, the angle that is directly opposite angle is 48°, since it is an alternate angle to 48° formed on lines m and n (lines k and l are parallel lines).

Therefore:

m∠1 = 48° (vertical angles)

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Answer:

X = 9

Step-by-step explanation:

Yes it´s 9 as said in the question

[tex]\text{Apply sine rule,}\\\\~~~~~~\dfrac{28}{\sin 27^{\circ}}=\dfrac x{\sin 64^{\circ}}\\\\\\\implies x = \dfrac{28 \sin 64^{\circ}}{\sin 27^{\circ}}\\\\\\\implies x \approx 55.4334[/tex]

Answer:

unsig elimination method to solve simultaneous equations

Answer:

Goals are easier to achieve in small steps.

Step-by-step explanation:

In the story she scared and she dont want to run a mile but when she tried to run and aim for that goal she finish the 1 mile without noticing it so it better if you take little by little each time to conquer your fear :)

Answer:

what do you need help with

Step-by-step explanation:

Answer:

151 in

Step-by-step explanation:

circumference = 2πr

where r = radius

given radius appears to be 24 so r = 24

so we have C = 2πr and r = 24 and we use 3.14 for π

So C = 2(3.14)(24)

==> multiply 2 and 3.14

C = 6.28(24)

==> multiply 6.28 and 24

C = 150.72

The closest answer is 151 so that is the answer

Answer:

avg. hour per student is 2.266666667

Step-by-step explanation:

68/30 = 2.266666667

Answer:

t=63

Step-by-step explanation:

2t = 126

t=63

The fraction of people who chose summer is 1/9.

Fraction is a number that represents the part of the whole.

It is given that

The fraction of people who chose either spring or summer = 6/9

This can also be represented as P( Spring ∪ Summer) = 6/9

P( Spring ∪ Summer) =  P( Spring ) + P( Summer)   ---------- (1)

It is also given that

The fraction of people who chose spring = 5/9

The fraction of people who chose summer = ?

From the equation 1

6/9 = 5/9 + P(  Summer)

P(  Summer) = 1/9

Therefore , The fraction of people who chose summer is 1/9.

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Answer:

26

Step-by-step explanation:

[tex]we \: rounded \: it \: to \: the \: nearest \: whole \: number[/tex]

The number of minutes Fred takes to spell check 4 pages will be around 26 minutes.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that,

Spell check 5 pages   ⇔  In 32 minutes

Divide by 5 ;

Spell check 1 page   ⇔  In 32/5 minutes.

Multiply by 4 ;

Spell check 1 × 4 pages   ⇔ In (32/5) × 4 minutes

Spell check 1 × 4 pages   ⇔ In 25.6 ≈ 26 minutes.

Hence Spell will take around 26 minutes to spell check 4 pages.

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We can translate word equations into number equations by recognizing key words as operations:

We're given:

Divide the sentence into parts:

Translate into numbers and operations:

Isolate n:

15 = 3 × (3n - 4)

15 = 9n - 12

27 = 9n

n = 3

15 = 3 × (3n - 4)

n = 3

Answer:

2.08

Step-by-step explanation:

logb 2 = 0.693

b^0.693 = 2

b = 0.693√2

log(0.693√2) 8

log 8 / log(0.693√2)

2.079

2.08

The simplification of the given expression [tex]\sqrt{18y^{21}[/tex] will be equal to [tex]3\sqrt{2} (y)^{\dfrac{21}{2}}[/tex]

The process of reducing the complex mathematical expressions into the simplest form is called as the simplification.

The simplification of the given expression will be:

[tex]=\sqrt{18y^{21}}\\\\\\=(18)^{\frac{1}{2} } \times (y)^{\frac{21}{2}}\\\\\\=3\sqrt{2}\times y^{\frac{21}{2}}[/tex]

hence  the simplification of the given expression [tex]\sqrt{18y^{21}[/tex] will be equal to [tex]3\sqrt{2} (y)^{\dfrac{21}{2}}[/tex]

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