Erin bought a $205 smart phone, but her total was $217.30. What percent sales tax did she pay?

Answer:

Lindsey earned a commission of $6.23

Step-by-step explanation:

Given that:

Commission rate = 5%

Amount of merchandise bought by customer = $124.50

Commission amount = 5% of 124.50

Commission amount = \(\frac{5}{100}*124.50\)

Commission amount = 0.05 * 124.50

Commission amount = $6.225

Rounding off to nearest cent

Commission amount = $6.23

Hence,

Lindsey earned a commission of $6.23

Answer:

The answer to your problem is, A. \(\frac{4}{5}\)

Step-by-step explanation:

We would need to count the entire shaded area both green and blue for the numerator. Which shown the denominator will be all the colors yellow, blue and green squares.

Total Green and blue 24, numerator

Total Green, blue Yellow 30, denominator

Which then divide 24 ÷ 30.

Simplify: divide numerator and denominator by 6

= \(\frac{4}{5}\)

Thus the answer to your problem is, A. \(\frac{4}{5}\)

Answer:

1 If the equations do not involve fractions or decimals, and you have a good visual understanding of linear equations, graphing on the coordinate plane is a good option.

2 Whenever one equation is already solved for a variable, substitution will be the quickest and easiest method.

3 Elimination is best used when both equations are in standard form (Ax + By = C). Elimination is also the best method to use if all of the variables have a coefficient other than 1.

The standard deviation of the number of correct answers is approximately 13.96.

The number of correct answers on a true or false question when the student is guessing is a binomial random variable. The mean of this variable is the product of the number of trials and the probability of success on each trial. Since the student has a 50-50 chance of getting each question right, the probability of success is 0.5.

The mean of the number of correct answers is:

mean = number of trials × probability of success

mean = 780 × 0.5

mean = 390

The variance of the number of correct answers is the product of the number of trials, the probability of success, and the probability of failure. Since the probability of failure is also 0.5, the variance is:

variance = number of trials × probability of success × probability of failure

variance = 780 × 0.5 × 0.5

variance = 195

The standard deviation is the square root of the variance:

standard deviation = sqrt(variance)

standard deviation = sqrt(195)

standard deviation ≈ 13.96

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Answer:

we conclude that:

Step-by-step explanation:

A dilation is a transformation which generates an image that is the same shape as the original object but in a different size.

The image can be obtained by multiplying the measure of the original object by a scale factor.

If the scale factor > 1, the image is stretched

If the scale factor < 1, the image is reduced

If the scale factor = 1, the image and object will be congruent

For example, if we multiply the measure of the coordinates of the vertex A(2, 2) of a triangle by a scale factor of 2, the image A' is stretched as the scale factor > 1.

Dilation with scale factor 2, multiply by 2.

A(2, 2) → (2(2), 2(2)) = A'(4, 4)

So, the image point A'(4, 4) is enlarged.

Dilation with scale factor ½, multiply by ½.

A(2, 2) → (2(1/2), 2(1/2)) = A'(1, 1)

So, the image point A'(1, 1) is reduced.

Therefore, we conclude that:

The measure of angle x is 77 degrees.

We have two angles given: 65 degrees and 38 degrees. Let's call the measure of angle x as "x".

From the information, we have the measure of the missing angle of the angles in a triangle are 38°, 65° and x. Then we can set up an equation:

x + 65 + 38 = 180 (the sum of the measures of the angles in a triangle is 180)

Simplifying this equation, we get:

x + 103 = 180

x = 77

Therefore, the measure of angle x is 77 degrees.

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Complete question

Find the measure of the missing angle of the angles in a triangle are 38°, 65° and x.

Answer: Option 2

The line starts at an x of -4, so the domain is from -4 to infinity since the arrow goes off the graph, meaning it keeps going. The line starts on a y of 2, and the line continues up with the arrow pointing slightly up, so the range is from 2 to infinity.

The domain is from left to right, and the range is down to up

Answer:

2.  {x | x ≥ −4}; {y | y ≥ 2}

Step-by-step explanation:

Let's try to determine the domain first. Look at the x values. The function begins at -4, so our possible domain values also begin at -4, and the values continue positively after -4.

Therefore, our domain is: Domain: {x ≥ -4}.

Or, we could assign our domain using interval notation: [-4,infinity).

Our range, or y values, begin at 2 and continue positively after 2.

Therefore, our range is: Range: {y ≥ 2}.

Again, we could use interval notation to assign our range: [2,infinity)

Therefore, the answer would be

2. {x | x ≥ −4}; {y | y ≥ 2}

Look at the picture to help you better understand

Answer:

a

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

c= 15 mi

Step-by-step explanation:

Pythagorean theorem.  a^+b^=c^

Square root of that

answer 15

Answer:

15

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

9^2 + 12 ^2 = c^2

81+144= c^2

225 = c^2

Take the square root of each side

sqrt(225) = sqrt(c^2)

15 =c

Glow costs 16/27 dollars, which is equal to 59.3 cents per volume unit.

Let's start by assigning variables to the unknown prices and volumes of the toothpastes. Let x be the price per unit volume of Fresh, y be the price per unit volume of Glow, and z be the price per unit volume of Bright. Let v1 be the volume of Fresh, v2 be the volume of Glow, and v3 be the volume of Bright. From the information given in the problem, we can set up the following equations:

z = 1.6y (a tube of Bright is 60% more expensive than a tube of Fresh)

v3 = 0.75v2 (a tube of Bright has 25% less volume than Glow)

y = 0.75z (a tube of Glow is 25% less expensive than a tube of Bright)

v2 = v1 + 100/3 (a tube of Glow has 100/3 more volume than Fresh)

We can substitute the first equation into the second equation to eliminate z:

v3 = 0.75v2

(substitute v2 = 0.75z and v1 = 1)

0.75v2 = 0.75(0.75z + 100/3)

0.75v2 = 0.5625z + 25

(substitute z = 1.6y and v2 = v1 + 100/3)

0.75(v1 + 100/3) = 0.5625(1.6y) + 25

0.75v1 + 25/3 = 0.9y + 25

0.75v1 = 0.9y + 50/3

We can substitute the third equation into the fourth equation to eliminate y:

v2 = v1 + 100/3

(substitute y = 0.75z)

0.75z = 0.75(0.75y) + 100/3

z = y + 16/9

(substitute z = 1.6y)

1.6y = y + 16/9

y = 16/27

Therefore, the price per unit volume of Glow is 16/27 dollars, or 59.3 cents per unit of volume.

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The solution to the system is x = 2 and y = 6, represented as the ordered pair (2, 6). This corresponds to option (B) in the answer choices.

To solve the system using substitution, we'll substitute the value of one variable from one equation into the other equation and solve for the remaining variable.

Given the system:

x + y = 8

y = 3x

Substituting the value of y from the second equation into the first equation, we have:

x + (3x) = 8

4x = 8

x = 2

Now, substitute the value of x into the second equation to solve for y:

y = 3(2)

y = 6

Therefore, the solution to the system is (2, 6). Option (B) is the correct answer.

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Step-by-step explanation:

add 8 to each x coordinate and divide 60 by 2 and then divide that by 2

The complete table for the given pattern is,

x: 12, 20, 28.

y: 60, 30, 15.

To complete the table for the given patterns, we can follow the specified rules for each pattern:

Pattern x: Starting number: 12, Rule: Add by 8

To generate the numbers in this pattern, we start with the given starting number, which is 12. Then, we apply the rule of adding 8 to each successive number.

12 + 8 = 20

20 + 8 = 28

So, the completed table for Pattern x would be:

x

12

20

28

Pattern Y: Starting number: 60, Rule: Divide by 2

For this pattern, we start with the given starting number, which is 60. Then, we apply the rule of dividing each successive number by 2.

60 ÷ 2 = 30

30 ÷ 2 = 15

So, the completed table for Pattern Y would be:

Y

60

30

15

By following the respective rules for each pattern, we have filled in the missing values in the table.

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Answer:

what

Step-by-step explanation:

Answer:

Green box: 9

Step-by-step explanation:

7/7 x 9/10

1 x 9/10 = 9/10

The value of x is 42.

To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.

The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.

Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.

Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.

Given that the length of side x in Figure B is 12, we can substitute it into the equation:

(2/7)x = 12

To solve for x, we can multiply both sides of the equation by 7/2:

x = (12 * 7) / 2

Simplifying the expression:

x = 84 / 2

x = 42

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Answer:

5 chapters per hour

Step-by-step explanation:

30chapters/6hours = 5 chapters/hour

Let's assume that the original price of the camera is x.

Since Annie sold the camera at a loss of 12%, the selling price is 88% of the original price.

So we can set up the equation:

0.88x = $250

To solve for x, we can divide both sides by 0.88:

x = $250 ÷ 0.88

x = $284.09

Therefore, the original price of the camera was $284.09.

Answer:

A

Step-by-step explanation:

it is A for every output y , there is only one input x

Answer:

A

Step-by-step explanation:

Because all the x-intercepts are different. Whereas all the other ones have repeats of numbers in the x-intercepts.

Since the electrician charged $360 on a particular job, the number of hours that this electrician worked for is 4 hours.

In Mathematics, a linear function is sometimes referred to as an expression or the slope-intercept form of a straight line and it can be used to model (represent) the total amount of money that is being charged by this electrician;

T = mh + b

Where:

Therefore, the required linear function that represents the total amount of money that is being charged by this electrician per hour is given by this mathematical expression;

T = 80h + 40

When the total amount of money is $360, the number of hours worked by this electrician can be calculated as follows;

360 = 80h + 40

80h = 360 - 40

80h = 320

Time, h = 320/80

Time, h = 4 hours.

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Answer:

S=20

Step-by-step explanation:

we want P(s) = 60

so P(s) = 3s = 60

s = 20

Answer:

Step-by-step explanation:

The slope is - 2/3 and the point on the line is (-3, -1).

Find the y-intercept:

The line is:

Correct choice is D

Equation in point slope form

Option D

Answer:

Y then X

Step-by-step explanation:

cause I know

Answer: C bc i think

The equivalent expression is -0.45t - 0. 05. Option D

Equivalent expressions are those expressions having the same solution.

From the information given, we have the expression as;

(0.35t -0.4) - (0.8t - 0.35)

Now, to simply the expression, take the steps;

expand the bracket;

0.35t - 0.4 - 0.8t+ 0.35

Now, collect the like terms

0.35t  - 0.8t - 0.4 + 0.35

Add or subtract the like terms

-0.45t - 0. 05

Hence, the expression is -0.45t - 0. 05

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Answer:

x=1

Step-by-step explanation:

it is

Answer:

step 3

Step-by-step explanation:

it's C on edg

Ernesto made his first error in Step 3 because he failed to apply the distribution property properly. It should be 3y + 21 - 2y = 8 instead of 3y + 7 – 2y = 8.

Using the substitution method, the solution to a system of equations is solved by finding one variable in one of the equations, then substituting it to find the other variable.

Given, the systems of equations as:

Thus, Ernesto made his first error in Step 3 because he failed to apply the distribution property properly. It should be 3y + 21 - 2y = 8 instead of 3y + 7 – 2y = 8.

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Answer:

11:27 am.

Step-by-step explanation:

The time which has passed when Tom overtakes Hazel is after Hazel has walked 1 hr 15 minutes and in that time Hazel has walked

1.25 * 4.8

= 6 km.

So, Tom runs 6 km in 10:15 - 9.39 = 36 minutes

= 0.6 hrs.

So, Tom's speed is 6/0.6 = 10 km/hr.

,

and Tom will take 18/10 = 1.8 hours to finish the route,

= 1 hr 48 minutes

So he finishes the route at

9:39 + 1:48

= 11:27 am.

Answer:

see graph below