A bicycle has a listed price of $646.95 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.
sm

Answer: X = 21/6

Step-by-step explanation:

The angle is a 90 degree angle.

that means we know 21x+6=90

21x = 90-6

21x=84

x = 84/24

x = 21/6

x = 21/6

Answer:

y+4=3(x+1) - this equation is in point-slope form. The equation in slope-intercept form is y=3x-1.

Step-by-step explanation:

Since the line is parallel, the slope is the exact same. Since we have the info of the slope and a point on the line, the most obvious choice would be to put in point-slope form, which is y+4=3(x+1). Now, if the equation is needed in slope -intercept form, you can use algebraic processes to convert. First, I would distribute the 3 into the expression in the parenthesis( multiply everything in the expression by 3), which would make the equation y+4=3x+3. Then, I would subtract 4 from both sides of the equation to isolate the y variable, which would give me y=3x-1. Now, the equation is in slope-intercept form.

9514 1404 393

Answer:

  27%

Step-by-step explanation:

The price multiplier for the first discount is (1 -55%) = 0.45.

The price multiplier for the second discount is (1 -40%) = 0.60.

Then the price multiplier for the two discounts together is ...

  (0.45)(0.60) = 0.27

You end up paying 27% of the original price.

The surface area of the cone is 36π

Surface area of a cone = πr(r + l)

where

Therefore,

r = 4cm

l² = 4² + 3²

l² = 16 + 9

l = √25

l = 5 cm

Hence,

r = 4 cm

l =  5 cm

Surface area of a cone = π(r + l)

Surface area of a cone = 4π(4 + 5)

Surface area of a cone = 4π(9)

Surface area of a cone = 36π

learn more on surface area here:https://brainly.com/question/23943569

#SPJ1

Answer: 36 pi

Step-by-step explanation:

Answer:

30% increase

Step-by-step explanation:

percentage increase is calculated as

\(\frac{increase}{original}\) × 100%

increase = $35.10 - $27 = $8.10 , then

percentage increase = \(\frac{8.10}{27}\) × 100% = 0.3 × 100% = 30%

Answer:

Step-by-step explanation:

step 1:       35.10-27 =8.1

step 2:       8.1/27 x 100 = 30%

so therefore = 30% increase

Angle O is congruent with angle M

Angle O = (3x + 12) + (5x -2) = 8x + 10

So angle M = 8x + 10

angle L and angle O are supplementary, so L + O = 180

L + 8x + 10 = 180

L = 180 - 10 - 8x

L = 170 - 8x

The internal angles of triangle LPM are L/2, P and M/2 and they add to 180

L/2 + P + M/2 = 180

(170 - 8x)/2 + (8y -6) + (8x + 10)/2 = 180

85 - 4x + 8y -6 + 4x + 5 = 180

8y = 180 - 85 + 6 - 5

8y = 96

y = 96/8= 12

y = 12

The answer is the option D y = 12

Answer:i think 39

Step-by-step explanation:

The equation is rewritten in slope-intercept form as y = -3x + 5.

Slope = -3; y-intercept = 5.

The equation of any given line, when written in the slope-intercept form is expressed as y = mx + b, where:

Given the equation in standard form as 6x + 2y = 10, rewrite the equation in slope-intercept form as explained in the steps below:

6x + 2y = 10

2y = -6x + 10 [subtraction property of equality]

Divide both sides by 2

2y/2 = -6x/2 + 10/2

y = -3x + 5

The equation is y = -3x + 5, Destinee didn't rewrite the equation correctly because he subtracted 2y from both sides rather.

The slope of y = -3x + 5 is -3.

The y-intercept of the equation is 5.

Learn more about the slope-intercept form on:

https://brainly.com/question/1884491

#SPJ1

Answer:

  y = 1/3x +3

Step-by-step explanation:

Here, it will be convenient to write the equation in "slope-intercept form." That looks like ...

  y = mx +b . . . . . line with slope m and y-intercept b

__

The y-intercept is the y-value where the line crosses the y-axis. On your graph, there is a point there: (0, 3). That means the y-intercept is b=3.

The slope is the "rise" divided by the "run". The points on your graph are 3 units apart horizontally (run = 3). The point on the right is 1 unit above the point to its left (rise = 1). This means the slope of the line is ...

  m = rise/run = 1/3

Now, you have what you need to write the equation:

  y = 1/3x +3

Answer:

there's no answer for that because ot doesn't make sense

The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ1

Step-by-step explanation:

To work out the height of the cuboid, we need to use the formula:

Volume = Length x Width x Height

We have been given the volume and the length, so we can substitute those values into the formula:

540 = 6 x Width x Height

Now we need to convert the width from millimeters to centimeters, so we divide it by 10:

150mm ÷ 10 = 15cm

Substituting this value into the formula:

540 = 6 x 15 x Height

Simplifying:

540 = 90 x Height

Dividing both sides by 90:

6 = Height

Therefore, the height of the cuboid is 6cm.

Answer:

a. \(\tt \frac{1}{9}\)

b. \(\frac{1}{16}\)

c. 4

Step-by-step explanation:

\(\tt a. \:3^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:

\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)

\(\hrulefill\)

\(\tt b.\: -2^{-4}\)

We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:

\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)

\(\hrulefill\)

\(\tt c. \:(\frac{1}{2})^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:

\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)

Answer:

Step-by-step explanation:

(a) 3^-2 = 1/9

(b) (-2)^-4 = 1/(-2)^4 = 1/16

(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4

Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

For more such questions on rectangle, click on:

https://brainly.com/question/2607596

#SPJ8

The graph of the equations 3x + 7y < 21,  x > 0, and  y > 0 are attached

The vertices are: (0, 0), (0, 3) and (7, 0) are identified in the graph

The regions that satisfy one or more inequalities can be seen when there are inequalities on a graph.

These inequalities are frequently linear and can be represented by straight line graphs.

To solve the inequalities, plot straight line graphs with either a solid line or a dashed line using the linear equations.

A solid line indicates that the line is present.

The line is not included if it is dotted.

The graphs for the equation is plotted and attached

Learn more about inequality graphs:

https://brainly.com/question/29244324

#SPJ1

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

Read more about inequality at

https://brainly.com/question/32124899

#SPJ1

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

The measure for angle 1 is 102 degrees. They would be interior angles because they add up to be 180 degrees.

Step-by-step explanation:

Hope this helps!! Please mark me brainliest!!

Answer: yes it is.

let me know if you need anything else

Step-by-step explanation:

Answer:

I believe so soldier~!

Step-by-step explanation:

Answer: zaria only had 20000 more that jessie in liters

Step-by-step explanation:

200 mill would be 20000

400 mill would be 40000

The option that is an equivalent expression of 15x² +12x + 8 is C. 12x + 15x² + 8.

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same values for the variable, two algebraic expressions that are equivalent have the same values.

If two systems of equations have the same solution, they are equivalents. In algebra, 2(2x - 3y + 6) is equal to 4x -6y + 12 as an example of an equivalent expression.

In this case, it should be noted that 15x² +12x + 8 is the same as 12x + 15x² + 8. Therefore, the correct option is C.

Learn more about expressions on:

https://brainly.com/question/723406

#SPJ1

Answer:

C. y=1/2 x + 5

Step-by-step explanation:

In the attached file

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

For such more questions inches

https://brainly.com/question/876758

#SPJ8

Watch the letter order of the statement:

ΔABC ≅ ΔDEF

Where point:

A = D

B = E

C = F

Take any sides and use the corresponding labels correctly to make them congruent.

Let's say I take side AB.

ΔABC ≅ ΔDEF

Refer to the correspondence chart we did above ^^^. As you can see that AB is equal to DE. You can also see this by referring to the first two letters in the triangle statement.

One pair of congruent sides: AB ≅ DE

Now for the angles, it's basically the same concept.

I'll take angle ∠ABC or ∠B. (Note: Always refer to the middle letter when there is a three letter angle label like ∠ABC)

Refer to the chart and what do we see?

We see that:

∠ABC = ∠DEF

          or

∠B = ∠E

One pair of congruent angles: ∠ABC ≅ ∠DEF or ∠B ≅ ∠E

Note: you can also do this with any letter combination, order, etc. ONLY IF you can correctly order their corresponding points.

The value of f(x) when x is 3 is 15

A Function in mathematics is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For example, if f(x) = x² +2x +5 , the value of f(x) when x is 2 is calculated as;

f(x) = 2² + 2(2) + 5

f(x) = 4 +4+5

= 13

This done by substituting the given value of x into the expression.

Similarly , if f(x) = 5x, the value of f(x) when x is 3 is calculated as;

f(x) = 5(3)

f(x) = 15

therefore the value of f(x) when x is 3 is 15

learn more about function from

https://brainly.com/question/11624077

#SPJ1