Find the total amount given the original price, tax rate and tip rate. Round to the nearest hundredth if necessary.

Original price: $101.33

Tax rate: 6.7%

Tip: 18%

Enter the correct answer in the box.

The factor of the polynomial 6x² + x − 7 using factorization is (x − 1) and (6x + 7). Then the correct option is C.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The polynomial is given as 6x² + x − 7

On factorization, we have

6x² + x − 7

6x² + 7x − 6x − 7

x (6x + 7) −1 (6x + 7)

(x − 1)(6x + 7)

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

Step by step equation:

5x + 3 = 4x

5x = 4x - 3

5x - 4x = -3

x = -3

Hope it helped,

Happy homework/ study/ exam!

Answer:

x= -3

Step-by-step explanation:

When solving these equations you must leave only one variable.

1. 5x+3=4x subtract variables

2. 3= -1x make x positive

3. x= -3

Answer:

5

Step-by-step explanation:

2x = 4x - 10

4x - 2x = 10

2x = 10

x = 10/2

X = 5

2(5) = 4(5) - 10

10 = 20-10

10=10

Answer:

x = 5

Step-by-step explanation:

put x on one side (subtract the x on the left from both sides)

-2x = -10

divide the extra number with the x from both sides

x = 5

hope this helps!

have a wonderful day :)

Answer:

its $5.20

Step-by-step explanation:

Answer: Choice C) [tex]3.9098 \times 10^8[/tex]

=========================================

Work Shown:

[tex]4.8388 \times 10^8 - 9.29 \times 10^7\\\\4.8388 \times 10^8 - \left(0.929\times10^{1}\right) \times 10^7\\\\4.8388 \times 10^8 - 0.929\times10^{1+7}\\\\4.8388 \times 10^8 - 0.929\times10^8\\\\\left(4.8388-0.929\right) \times 10^8\\\\3.9098 \times 10^8\\\\[/tex]

-----------------

Side notes:

Answer:

3 is not a Zero of the Function

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

the upper answered person is correct

kindly give her brainlist

thw

Answer:

b n=5

c. n=4

Step-by-step explanation:

Answer:

21.186%

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

z = 2400 - 2000/500

z = 0.8

Probability value from Z-Table:

P(x<2400) = 0.78814

P(x>2400) = 1 - P(x<2400) = 0.21186

Converting to percentage:

0.21186 × 100

= 21.186%

Therefore, the percent of the meals

ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%

21.186% of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium.

It is known that 3000 meals ordered from Chipotle restaurants using the online site Grubhub.

And the distribution of sodium content is approximately Normal with mean 2000mg and standard deviation 500 mg.

We know,

[tex]z = \frac{(x- \mu)}{\(\sigma\)}[/tex],

And daily allowance of 2400 mg of sodium

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

[tex]z = \frac{2400 - 2000}{500}[/tex]

z = 0.8

Probability value from Z-Table:

[tex]P(x<2400) = 0.78814\\P(x>2400) = 1 - P(x<2400) \\= 0.21186[/tex]

Converting to percentage:

[tex]= 0.21186 (100)\\= 21.186%[/tex]

Therefore, the percent of the meals  ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%.

Learn more:https://brainly.com/question/14601433

Answer:

sure.. 16pi

Step-by-step explanation:

use the equation

[tex]a = \pi \: {r}^{2} [/tex]

[tex]radius = diameter \div 2[/tex]

r = 8÷2 = 4 ft

[tex]a = \pi \times {4 }^{2} [/tex]

[tex]a = 16 \: \pi[/tex]

Answer:

[tex]-\frac{21}{2} < x < -5[/tex]

Solve the inequality

[tex]-3 < 2x+18 < 8[/tex]

Separate compound inequalities into system of inequalities

[tex]\left \{ {{2x+18 > -3} \atop {2x+18 < 8}} \right.\\ 2x+18 > -3\ and[/tex]               [tex]2x-18 < 8[/tex]

Rearrange variables to the left side of the equation

[tex]2x > -3-18[/tex]                       [tex]2x < 8-18[/tex]

Calculate the sum or difference

[tex]2x > -21[/tex]                              [tex]2x < -10[/tex]

Divide both sides of the inequality by the coefficient of variable

[tex]x > -\frac{21}{2}[/tex]                                [tex]x < -\frac{10}{2}[/tex]

Cross out the common factor

                                           [tex]x < -5[/tex]

[tex]x > -\frac{21}{2}\ and\ x < -5[/tex]

Find the intersection

[tex]-\frac{21}{2} < x < -5[/tex]

I hope this helps you

:)

Answer:

Step-by-step explanation:

the answer is in the attachment below the graph.

Answer:

e

Step-by-step explanation:

1,-4

3,-1

-1-(-4) = 3

3-1 is 2

slope is 3/2

Answer:

b

Step-by-step explanation:

it’s b on edge

Answer:

16.67%

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar:

30/180

The number above the bar is the numerator: 30

The number below the bar is the denominator: 180

Divide the numerator by the denominator to get fraction's value:

Val = 30 ÷ 180

30/180=16.666666667

16.666666667= 16.67%

Answer:

16.67

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

since the location of 4x+2 and 7x-25 is across from each other that means that they are equal to each other so you have to set them equal to each other by doing 4x+2=7x-25 then you add like terms you add 25 and 2 together which gives you 27 and the equation will look like 4x+27=7x and then you subtract 4x from 7x which gives you 3x and u get the equation 27=3x now you divide 27 by 3 and get 9 so the equation will be x=9

Answer:

i think it would be percent error  

she was off by 35.7143%

a

Step-by-step explanation:

hope this helps if im correct please can i have brainly

x+14 = 7x+32-3x

x+14 = 4x+32

-x          -x

14 = 3x+32

-32       -32

-18 = 3x

/3        /3

-6 = x

x = -6

Answer:

x=-6

Step-by-step explanation:

x+14=7x+32-3x

x+14=7x-3x+32 group like terms

x+14=4x+32 add similar element

x+14-14=4x+32-14 subtract 14 from both sides

x=4x+18 simplify

x-4x=4x+18-4x subtract 4 from both sides

-3x=18

then divide both sides by 3

and then simplify

then u get x=-6

Answer:

-20+12i

Step-by-step explanation:

(-18+24i)-(2-12i)

-20+24i-12i

-20+12i

i = -1.666 or -1 and 2/3

Answer:

-20+11i

Step-by-step explanation:

3(-6+8i)-1 (2-12i)

-18+24i -2-13i

-20+11i

Answer:

x = 2 + sqrt(2) or x = 2 - sqrt(2) thus B. is your answer

Step-by-step explanation:

Solve for x over the real numbers:

4 x^2 - 16 x + 8 = 0

Hint: | Write the quadratic equation in standard form.

Divide both sides by 4:

x^2 - 4 x + 2 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 2 from both sides:

x^2 - 4 x = -2

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 4 to both sides:

x^2 - 4 x + 4 = 2

Hint: | Factor the left-hand side.

Write the left-hand side as a square:

(x - 2)^2 = 2

Hint: | Eliminate the exponent on the left-hand side.

Take the square root of both sides:

x - 2 = sqrt(2) or x - 2 = -sqrt(2)

Hint: | Look at the first equation: Solve for x.

Add 2 to both sides:

x = 2 + sqrt(2) or x - 2 = -sqrt(2)

Hint: | Look at the second equation: Solve for x.

Add 2 to both sides:

Answer: x = 2 + sqrt(2) or x = 2 - sqrt(2)

Answer:

B

Step-by-step explanation:

Answer:

m∠RSA is 27.1° and m∠AST is 27.1°

Step-by-step explanation:

If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half the measure of this angle

In the given question

∵ Ray SA bisects ∠RST  

→ That means it divides it into two angles RSA and AST

∴ m∠RSA = m∠AST = [tex]\frac{1}{2}[/tex] m∠RST

∵ m∠RST = 54.2°

→ Multiply its measure by   to find the measures its parts

∴ m∠RSA =  [tex]\frac{1}{2}[/tex] × 54.2°

∴ m∠RSA = 27.1°

∴ m∠AST =  [tex]\frac{1}{2}[/tex] × 54.2°

∴ m∠AST = 27.1°

90-22.5=67.5

He has $67.5

The number of line segments that can be formed on the same line is A = 6

The number of ways of selecting r objects from n unlike objects is given by combinations

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

If A, B, C, and D are different points on the same line, then the number of line segments with endpoints at these points can be calculated by counting the number of ways to choose 2 points from the 4 points.

The number of ways to choose 2 points from 4 points is given by the binomial coefficient 4 choose 2, which is:

So , the combination is ⁴C₂

4 choose 2 = ⁴C₂ = (4!)/(2!(4-2)!) = (4 x 3)/(2 x 1) = 6

Hence , there are 6 line segments with endpoints at A, B, C, and D.

To learn more about combinations click :

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Answer:

The bike was $230

Step-by-step explanation:

If 2/5 is $92 you can divide 92 by two like so,

92 ÷ 2 = 46

So ONE fifth is 46 to find out the total (5/5) you multiply by 5 so it would turn up like this,

46 × 5 = 230

The bike was $230

Hope that helps and have a great day!

Answer:

9x² + 12x + 16

Step-by-step explanation:

(27x³ - 64) / (3x - 4)

= (3x - 4)(9x² + 12x + 16) / (3x - 4)

= 9x² + 12x + 16

Answer:

$5791.5

Step-by-step explanation:

13.5% = $526.5 each year

Answer:

0.3636

Step-by-step explanation: