Mario simplified the expression as shown.



Which statement explains Mario’s error?

Answer:

x is the price of the meal

(1+0.0825 + 0.18) is the total percentage on top of the price he pays with sales tax and tip.

Step-by-step explanation:

The factor x is the price of the meal. The factor (1 + 0.0825 + 0.18) is the 100% of the price, the sales tax on that price and the tip on the total. 1 + 0.0825 + 0.18 = 1.2625 is the total percentage he pays on the price. He pays 26.25% in addition of the price of the meal to cover tax and tip.

Answer:

3 hours

Step-by-step explanation:

Answer: b. 0.5

Step-by-step explanation:

We area given that the probability of outcomes A = 0.5

We know that for any event Q the probability of not getting Q is given by :-

[tex]P(Q)'=1-P(Q)[/tex]

Now, the probability of getting outcomes not A is given by :-

[tex]P(A)'=1-P(A)\\\\\Rightarrow\ P(A)' =1-0.5\\\\\Rightarrow\ P(A)' =0.5[/tex]

Hence option B is correct.

Answer:  G

Step-by-step explanation:

(x, y) → ([tex]\frac{1}{8}x[/tex], [tex]\frac{1}{8}y[/tex])

means that the new quadrilateral will be [tex]\frac{1}{8}[/tex] the size of the original quadrilateral, so it will be smaller because the it maps to a fraction that is less than 1.

Answer:

117π or 367.56634047

Step-by-step explanation:

Volume = π × r² × h          (r=radius and h=height)

Volume = π × 4² × 13

Volume = π × 9 × 13

Volume = π × 117

Volume = 117π

Answer:

[tex]y<0.5x-3[/tex]

Step-by-step explanation:

Find the equation of the dashed line

The line pass through the points

[tex]A(0,-3)[/tex] -----> is the y-intercept of the line

[tex]B(6,0)[/tex]

Find the slope of the line m

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute the values

[tex]m=\frac{0+3}{6-0}=0.5[/tex]

Remember that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

we have

[tex]m=0.5[/tex]

[tex]b=-3[/tex]  

substitute

[tex]y=0.5x-3[/tex]

Find the inequality

we know that

The solution of the inequality is the shaded area below the dashed line

so

[tex]y<0.5x-3[/tex]

Answer:

Option D) [tex]y=-3x+10[/tex]

Step-by-step explanation:

General form of linear function : [tex]y=mx+c[/tex]

Option A ) [tex]y=\frac{16}{x}[/tex]

Since this function cannot be represented as general form of linear function.

Thus it is not a linear function.

Option B)[tex]y=3x^2-1[/tex]

It is a quadratic function .

Option C) [tex]x=3[/tex]

Since this function cannot be represented as general form of linear function.

Thus it is not a linear function.

Option D) [tex]y=-3x+10[/tex]

Since it is represented in the general form of linear function.

So,  [tex]y=-3x+10[/tex] is a linear function.

A linear function is represented by an equation of the form y = mx + b, where 'm' is the slope and 'b' is the y-intercept. It is called linear because its graph forms a straight line.

In mathematics, a linear function is a function that has a graph in the shape of a straight line. This means it follows a consistent rate of change, often represented by the slope of the line (known as 'm' in an equation). An example of an equation that represents a linear function is:

y = mx + b

Where:

https://brainly.com/question/31353350

#SPJ12

The answers might be B and C.

Answer:

B and C

Step-by-step explanation:

B has 4 equal parts easy. C is a more reasonable answer because a has NO equal parts.

Answer:

8 items per bad

Step-by-step explanation:

30% are green and hold an average of 10,

20% are yellow and hold an average of 5

50% are blue and hold an average of 8,

all together they hold an average of ...

[0.3(10) + 0.2(5) + 0.5(8)]

[ 3 + 1 + 4] = 8 items on average

Say there's 10 total gift bags given out, then

3 of them will be green, each with 10 items for a total of 30 items,

2 of them will be yellow, each with 5 items, for a total of 10 items,

5 of them will be blue, each with 8 items, for a total of 40 items.

All together there are 10 bags, and 80 items, for an average of

80/10 = 8 items per bag

These numbers will stay the same no matter how many bags are given out

To calculate the average number of items in all gift bags, the weighted average of items per color category based on their percentage distribution is computed, resulting in an overall average of 8 items per bag.

The question asks to calculate the average number of items in all the gift bags given the percentages of green, yellow, and blue bags and their respective average items. To find the overall average, we can weight each average by the percentage of bags of that color.

Here is the calculation:

Summing these amounts gives us the overall average:

3 (from green bags) + 1 (from yellow bags) + 4 (from blue bags) = 8 items per bag on average.

Answer: [tex]k=-\frac{2}{3}[/tex]

Step-by-step explanation:

By definition, a direct varition is expressed as following:

[tex]y=kx[/tex]

 Then, y is directly proportional to x and k is the constant of variation.

Therefore, given the direct variation:

[tex]4x=-6y[/tex]

You must solve for the variable y as you can see below:

[tex]4x=-6y\\\\y=-\frac{4}{6}x\\\\y=-\frac{2}{3}x[/tex]

Therefore, as you can see,  the constant of variation is the following:

[tex]k=-\frac{2}{3}[/tex]

18-12.7, 5.3 centimeters have been used

Answer- 5.3 cm

Step-by-step explanation:

18-12.7

Answer:

C

Step-by-step explanation:

Basically (f+g)(x) = f(x)+g(x).

Following this rule you combine like terms.

7x-2x=5x and 10+5 = 15.

Therefore the answer is C.

Answer:

yes

Step-by-step explanation:

the correct answer is 2 after rounding it off to the nearest number

1.y varies directly with x

2.substitute the value of x and y in the equation below

y=kx

where k is the constant term

60=20k

k=60\20

k=30

:y=30x.....is the law

To find y when x is 12

You reinstate the law which is y=30x

Then substitutes the value of x to determine y

y=30*12

y=36.

Ann sent a total of 21 texts.

Jim sent a total of 31 texts.

Miguel sent a total of 63 texts.

Answe

255=222-22209/33

=6868

The lateral surface area of the prism with dimensions 4 ft, 3 ft, and 1.5 ft is 21 square feet.

To find the lateral surface area of a prism, you need to add the areas of all the lateral faces of the prism.

For a rectangular prism, the lateral surface area can be calculated by finding the perimeter of the base and multiplying it by the height of the prism.

In this case, with dimensions of 4 ft, 3 ft, and 1.5 ft for the rectangular prism:

Calculate the perimeter of the base: Perimeter = 2(length + width)

Perimeter = 2(4 ft + 3 ft) = 2(7 ft) = 14 ft

Then, multiply the perimeter by the height of the prism to get the lateral surface area:

Lateral Surface Area = Perimeter x Height

Lateral Surface Area = 14 ft x 1.5 ft = 21 square feet

The complete question is: Find the lateral surface area of the prism

Answer:

There's not enough information here to complete this problem.

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

i got it right i took the lesson

Answer:1/4

Step-by-step explanation:

- Divide the numerator and the denominator by 625

- Divide the numbers

- YOUR FINAL ANSWER

Hope I was able to satisfy your needs

Answer:

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

Step-by-step explanation:

[tex]\frac{625}{2500}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{125}{500}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{25}{100}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{5}{20}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{1}{4}[/tex]

or

divide [tex]\frac{625}{2500}[/tex] by 625 numerator and denominator and get the same answer, [tex]\frac{1}{4}[/tex]

the slash[ / ]means to divide

plz give a brainliestttt

Answer:

Option A is correct answer.

Step-by-step explanation:

Per hour wage = $8.55

Number of hours in a week = 15

So, total pay of the week is = [tex]8.55\times15=128.25[/tex]

The biweekly salary becomes = [tex]128.25\times2=256.50[/tex]

Deductions are as follows:

FICA (7.65%), [tex]0.0765\times256.50=19.62[/tex]

Federal tax withholding (10.4%), [tex]0.104\times256.50=26.67[/tex]

State tax withholding (7.7%), [tex]0.077\times256.50=19.75[/tex]

Now adding all the deductions we get:

[tex]19.62+26.67+19.75=66.04[/tex]

Subtracting the deductions from the biweekly pay we have =

[tex]256.50-66.04[/tex]= $190.46

Close to option A. Hence, option A is correct.

Final answer:

The volume of the cylindrical oil drum is 9.426 cubic feet.

Explanation:

The volume of a cylindrical oil drum can be calculated using the formula V = πr²h, where r is the radius of the drum and h is the height. In this case, the diameter of the drum is given as 2 feet, so the radius is 1 foot (since the radius is half the diameter). The height of the drum is given as 3 feet. Therefore, the volume of the oil drum can be calculated as follows:

V = 3.142 × (1 foot)² × 3 feet

Calculating this, we get:

V = 3.142 × 1 foot × 1 foot × 3 feet = 9.426 cubic feet

So, the volume of the oil drum is 9.426 cubic feet.

Answer:

-a+5b

Step-by-step explanation:

(-2)x(2a-b)+3(a+b)

Multiply

Remove Parenthesis

-2(2a-b)+3a+3b

Multiply parenthesis by -2

-4a+2b+3a+3b

collect like terms

-a+5b

Answer:

Area = 52 cm2

Step-by-step explanation:

First you have to extend the line. It gave you two rectangles.

To find out the area you have to add this two surfaces.

A1 = 2*10 = 20

A2 = 8*4 = 32

Whole area = A1 + A2 = 20 + 32 = 52 square cm.

You can do this other way around and you get the same answer.

First you have to extend the line. It gave you two rectangles.

To find out the area you have to add this two surfaces.

A1 = 4*10 = 40

A2 = 2*6 = 12

Whole area = A1 + A2 = 40 + 12 = 52 square cm.

Answer: The second one

Step-by-step explanation:it's the second one because the line goes strait through the orign

Answer:

[tex]\boxed{\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}}[/tex]

Step-by-step explanation:

Factor [tex]\bold{m^2-n^2}[/tex]

[tex]\bold{\left(m+n\right)\left(m-n\right)}[/tex]

Rewrite Equation

[tex]\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}[/tex]

Answer:

[tex]\frac{m^2}{(m+n)(m-n)}[/tex]

Step-by-step explanation:

Here we have to simplify the denominator of the expression given in the question.

We will use the formula for

Difference of the squares which us given as under

[tex]a^2-b^2=(a+b)(a-b)[/tex]

Let us now simplify the denominator

[tex]m^2-n^2=(m+n)(m-n)[/tex]

Hence

Our answer is

[tex]\frac{m^2}{(m+n)(m-n)}[/tex]

Yes the graph is a parabola

In mathematics, a parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped. The trajectory of a projectile always shows parabolic path. The shape of car headlights, mirrors in reflecting telescopes and television and radio antennae are examples of the applications of parabolas.

1.  cos (angle) = adjacent leg / hypotenuse

cos(50) = 10/X

x = 10/cos(50)

x = 15.6 feet  

2.

tan(angle) = Opposite leg / adjacent leg

tan(5.5) = 600/x

x = 600/tan(5.5)

x = 6,231.2 feet.

Answer:

(4,-6)

Step-by-step explanation:

4x+y = 10

We know y = -6

Substitute it in

4x -6 = 10

Add 6 to each side

4x-6+6 = 10+6

4x =16

Divide by 4

4x/4 = 16/4

x =4

I think the answer is y < 15, is this what your looking for?

Thus, the correct rule that represents the dilation applied to trapezoid ABCD to create A'B'C'D' is:

C. [tex]\( (x, y) \to (2x, 2y) \)[/tex]

The image shows a trapezoid ABCD that has been dilated to form a trapezoid A'B'C'D'. We need to determine which rule represents the dilation applied to trapezoid ABCD to create A'B'C'D'.

To find the rule, we can follow these steps:

1. Choose a Corresponding Point: Pick a point from the original figure and its corresponding point in the dilated figure.

2. Calculate Scale Factor: Determine the scale factor by comparing the distances of the chosen points from the origin.

3. Formulate the Rule: The rule for dilation with respect to the origin is given by [tex]\( (x, y) \to (kx, ky) \)[/tex], where [tex]\( k \)[/tex] is the scale factor.

Looking at the grid in the image:

- Point B has coordinates (-2, -3).

- Point B' has coordinates (-4, -6).

The coordinates of B' are exactly double those of B, indicating that every coordinate is scaled by a factor of 2. This fits the dilation rule of [tex]\( (x, y) \to (2x, 2y) \).[/tex]

Thus, the correct rule that represents the dilation applied to trapezoid ABCD to create A'B'C'D' is:

C. [tex]\( (x, y) \to (2x, 2y) \)[/tex]

This means the rule for the dilation is to multiply both the x and y coordinates by 2, which is the scale factor for the dilation.