i need ro know more about how to do this. can you help me out?

5% of 476 =0.05*476

1) If the tips were left from the cost of dinner including sale taxes

15 % tips would be (476+0.05*476)*0.15.

2) If tips would be left only from the cost of the dinner it would be

0.15*476

Total cost = cost of dinner +tax+tips

Sales growth affects cash flow in two ways: through the growth effect and through the impact on management's choice of how to handle it. Growth in sales affects all other revenue-generating activities that appear on the organization's balance sheet or income statement.

1)    for the case when tips left from the sum of cost of the dinner and taxes

total cost = 476 +0.05*476 +  (476+0.05*476)*0.15=574.77

2) for case when tips left only from the cost of the dinner

total cost = 476 +0.05*476 +0.15*476 = 571.20

Sales growth has an impact on cash flow in two ways: directly through the growth effect and indirectly through the management's decision-making process. Sales growth has an impact on all other revenue-generating activities that are shown on the balance sheet or income statement of the company.

Dinner cost plus taxes and tips equals the total cost.

1) For the case where taxes and the cost of the meal plus tips are subtracted

$574.77 ($476 + 0.05*476 + (476 + 0.05*476)*0.15) is the total price.

2) if only the dinner tab was taken from the tips

Total cost: 571.20 ($476 + 0.05 * 476 + 0.15 * 476).

Normally, taxes and tips are subtracted from the total amount, so perhaps you should choose Option 1).

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Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

The values of the unknown angles are ∠1 = 92°, ∠2 = 24°, ∠3 = 64°, ∠4 = 35°, ∠5 = 81°

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.

∠1 + 88 = 180°( angles on a straight line)

∠1 = 180 - 88 which is 92°

∠3 = 64°( corresponding angles are equal)

∠2 + ∠1 + ∠3 = 180( sum of angles in a triangle)

∠2 + 92° + 64° = 180

∠2 = 180 - 92 - 64

∠2 = 24°

∠4 + 81 + ∠3 = 180 ( angles on a straight line)

∠4 + 81 + 64 = 180

∠4 = 180 - 64 -81

∠4 = 35°

∠5 = 81°( alternate angles are equal)

In conclusion the values of ∠1, ∠2, ∠3, ∠4, ∠5 are 92°, 24°, 64°, 35° and 81° respectively.

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Answer:

18 1/16

Step-by-step explanation:

4 1/4 = 4.25

4.25 * 4.25 = 18.0625

18.0625 = 18 1/16

Answer:

c

Step-by-step explanation:

Answer:

students that are in middle school

Step-by-step explanation:

i took the test and got it correct.

The category with the greatest marginal frequency is students who chose playing sports. The correct option is C.

There are 16 students who chose playing sports in middle school and 11 students who chose playing sports in high school, for a total of 27 students who chose playing sports. This is the greatest marginal frequency of all the categories.

The marginal frequency for high school students who chose playing sports is 11.

The marginal frequency for middle school students who chose watching movies/TV is 21.

The marginal frequency for students who chose playing sports is 27.

The marginal frequency for students that are in middle school is 21.

Therefore, the answer is (C) Students who chose playing sports.

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Answer:

x =17

Step-by-step explanation:

The angles are supplementary so they add to 180

6x-20 + 6x - 4 = 180

12x -24 = 180

Add 24 to each side

12x-24+24 = 180+24

12x = 204

Divide by 12

12x/12 =204/12

x = 17

Caroline paid 14% of the cost of the dinner as a tip.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Extra pay or tip = 25.08 - 22
                        = $3.08

Now,
Percentage of tip corresponding to the bill amount,
= 3.08 / 22 × 100
= 14%

Thus, Caroline paid 14% of the cost of the dinner as a tip.

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Answer:

4) 34.1 ft²

6) 9.9 ft²

Step-by-step explanation:

The formula for the area of a triangle is A = 1/2 × b × h.
Plugging in the givn values, we have the equations: A = 1/2 × 11 × 6.2 and A = 1/2 × 6 × 3.3. Now we can solve.

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

4) A = 1/2 × 11 × 6.2

5.5 × 6.2 = 34.1 ft²

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

6) A = 1/2 × 6 × 3.3

3 × 3.3 = 9.9 ft²

hope this helps!

Answer:

2.9

Step-by-step explanation:

.05 rounds up.

2.9

Answer:

Area = 24 m²

Perimeter = 36 m

Step-by-step explanation:

width (w) = 2 m

length (l) = 6 x w = 6 x 2 = 12 m

Area = w x l = 2 x 12 = 24 m²

Perimeter = w + w + l + l = 2w + 2l = 2 x 6 + 2 x 12 = 12 + 24 = 36 m

The line parallel to the x-axis passing through the points (5,5) and (-5,5) has a slope of 0, indicating a horizontal line with a constant y-coordinate value of 5.

To determine the slope of the line that represents this relationship, we can use the formula for slope, which is given by:

slope = (change in y-coordinates) / (change in x-coordinates)

In this case, we are given two points on the line: (5,5) and (-5,5).

The change in y-coordinates is 5 - 5 = 0, as the y-coordinate remains constant.

The change in x-coordinates is -5 - 5 = -10.

Substituting these values into the slope formula, we get:

slope = 0 / -10 = 0

Therefore, the slope of the line that represents this relationship is 0.

A slope of 0 indicates that the line is parallel to the x-axis. This means that the line has a constant y-coordinate value for all x-coordinate values. In this case, the line passes through the point (5,5) and (-5,5), and it remains at y = 5 for all x-values.

Visually, a line with a slope of 0 would be a horizontal line on the coordinate plane. It does not have an upward or downward slope but remains parallel to the x-axis.

It's important to note that the slope of 0 indicates a relationship where the dependent variable (y) does not change with respect to the independent variable (x). In this case, no matter the value of x, the corresponding y-value remains constant at 5.

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Answer:

$206.55

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

206.55

Step-by-step explanation:

243(100%-15%)

243(85%)

243(0.85)

206.55

Answer:

y = 3x-140

Step-by-step explanation:

y = Tom's sales last week

x = Bianca's sales last week

Answer:

(6,4)

Step-by-step explanation:

the y-value turns to a negative but the x-value stays the same.

Answer:

(-6,4)

Step-by-step explanation:

The solutions to the equation 1x² - 16x = 20 are x = 8 + 2√21 and x = 8 - 2√21.

To solve the quadratic equation 1x² - 16x = 20, we need to rearrange it into the standard form ax² + bx + c = 0. Let's simplify the equation step by step:

1x² - 16x = 20

First, move all terms to one side of the equation:

1x² - 16x - 20 = 0

Now we have a quadratic equation in the standard form. To solve it, we can use factoring, completing the square, or the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 1, b = -16, and c = -20. Substituting these values into the quadratic formula:

x = (-(-16) ± √((-16)² - 4(1)(-20))) / (2(1))

Simplifying further:

x = (16 ± √(256 + 80)) / 2

x = (16 ± √336) / 2

x = (16 ± √(16 * 21)) / 2

x = (16 ± 4√21) / 2

Simplifying:

x = 8 ± 2√21

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Answer:

[x]W = P[X]U

Step-by-step explanation:

In this context [x]U means the coordinate vector of vector x in the basis U. We are given that P has the coordinates of the vectors of basis U in the basis W. This means, that P translates the coordinates in U basis to the coordinates of a vector in the W basis. So, given a vector [x]U (coordinates in the U basis) then, by multiplying by P, we get the coordinates of x in the W basis. That is

[x]W = P[X]U.

Answer:

2.1314 Months.

Step-by-step explanation:

The time it will take to pay off the credit card is 3.86 months.

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =P(1+r/n)^rt

We are given that;

Debt credit card= 1024

APR=15%

Now,

FV is the remaining balance of the credit card debt, PMT is 300, i is 0.15/12 (the APR divided by 12 months), and n is the number of months. We want to find n when FV is zero, which means the debt is paid off. So we have: 0=300×0.15/12(1+0.15/12)n−1​

Solving for n, we get: n=log(1+0.15/12)log(1−0.15/12×0/300)​≈3.86

Therefore, by the given interest rate the answer will be 3.86 months .

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Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

Answer:

\(\textsf{1.(a)} \quad x^2-14x+\boxed{49}=\left(x-\boxed{7}\right)^2\)

\(\textsf{1.(b)} \quad 9x^2 + 30x +\boxed{25}= \left(3x +\boxed{5}\right)^2\)

\(\begin{aligned}\textsf{2.(a)}\quad3x^2-24x+48&=3\left(x^2-\boxed{8}\:x+\boxed{16}\right)\\&=3\left(x-\boxed{4}\right)^2\end{aligned}\)

\(\begin{aligned}\textsf{2.(b)}\quad \dfrac{1}{2}x^2+8x+32&=\dfrac{1}{2}\left(x^2+\boxed{16}\:x+\boxed{64}\right)\\&=\dfrac{1}{2}\left(x+\boxed{8}\right)^2\end{aligned}\)

Step-by-step explanation:

(a) When completing the square for a quadratic equation in the form ax² + bx + c where the leading coefficient is one, we need to add the square of half the coefficient of the x-term:

\(x^2-14x+\left(\dfrac{-14}{2}\right)^2\)

\(x^2-14x+\left(-7\right)^2\)

\(x^2-14x+49\)

We have now created a perfect square trinomial in the form a² - 2ab + b². To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 -2ab + b^2 = (a -b)^2}\)

Therefore:

\(a^2=x^2 \implies a=1\)

\(b^2=49=7^2\implies b = 7\)

Therefore, the perfect square trinomial rewritten as a binomial squared is:

\(x^2-14x+\boxed{49}=\left(x-\boxed{7}\right)^2\)

(b) When completing the square for a quadratic equation where the leading coefficient is not one, we need to add the square of the coefficient of the x-term once it is halved and divided by the leading coefficient, and then multiply it by the leading coefficient:

\(9x^2 + 30x +9\left(\dfrac{30}{2 \cdot 9}\right)^2\)

\(9x^2 + 30x +9\left(\dfrac{5}{3}\right)^2\)

\(9x^2 + 30x +9 \cdot \dfrac{25}{9}\)

\(9x^2 + 30x +25\)

We have now created a perfect square trinomial in the form a² + 2ab + b². To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 +2ab + b^2 = (a +b)^2}\)

Therefore:

\(a^2=9x^2 = (3x)^2 \implies a = 3x\)

\(b^2=25 = 5^2 \implies b = 5\)

Therefore, the perfect square trinomial rewritten as a binomial squared is:

\(9x^2 + 30x +\boxed{25}= \left(3x +\boxed{5}\right)^2\)

\(\hrulefill\)

(a) Factor out the leading coefficient 3 from the given expression:

\(3x^2-24x+48=3\left(x^2-\boxed{8}\:x+\boxed{16}\right)\)

We have now created a perfect square trinomial in the form a² - 2ab + b² inside the parentheses. To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 -2ab + b^2 = (a -b)^2}\)

Factor the perfect square trinomial inside the parentheses:

                        \(=3\left(x-\boxed{4}\right)^2\)

(a) Factor out the leading coefficient 1/2 from the given expression:

\(\dfrac{1}{2}x^2+8x+32=\dfrac{1}{2}\left(x^2+\boxed{16}\:x+\boxed{64}\right)\)

We have now created a perfect square trinomial in the form a² + 2ab + b² inside the parentheses. To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2+2ab + b^2 = (a +b)^2}\)

Factor the perfect square trinomial inside the parentheses:

                        \(=\dfrac{1}{2}\left(x+\boxed{8}\right)^2\)

Step-by-step explanation:

Since ABCD is a rectangle

⇒ AB = CD and BC = AD

x + y = 30 …………….. (i)

x – y = 14 ……………. (ii)

(i) + (ii) ⇒ 2x = 44

⇒ x = 22

Plug in x = 22 in (i)

⇒ 22 + y = 30

⇒ y = 8

Answer:

option 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x + 10 ← is in slope- intercept form

with slope m = 6

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{6}\)

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - \(\frac{1}{6}\) and (a, b ) = (5, - 8 ) , then

y - (- 8) = - \(\frac{1}{6}\) (x - 5 ) , that is

y + 8 = - \(\frac{1}{6}\) (x - 5) ← equation of perpendicular line

Answer:

Im trying to answer that one too but let me tel you the answer that i put

Step-by-step explanation:

melvin has to put it on opposite

Answer:

absolute value basically represents the distance a number is from zero on the number line. If you can imagine, nobody would say "My car went negative thirty miles today," so you wouldn't use negative "distances" on the number line either. That's why absolute values are always positive.

Step-by-step explanation:

Answer: A,E or F.

Step-by-step explanation: That's the only ones that have X's and then x is 0

I guess this can help you, you're welcome in advance

The value of the estimated standard error for the following set of D scores 4, 8, 4, 4 is 1.

The standard deviation of a statistic's sample distribution, or an approximation of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean.

Consider the following set of D scores,

4, 8, 4, 4

We will calculate ∑D and ∑D² to find the SS for the D scores.

Therefore,

∑D = 4 + 8 + 4 + 4

∑D = 20

∑D² = 4² + 8² + 4² + 4²

∑D² = 16 + 64 + 16 + 16

∑D² = 112

Now, the formula for the standard score is given as:

\(SS=\sum D^2- \frac{(\sum)^2}{n}\)

SS = 112 - [ (20)² /4 ]

SS = 112 - 100

SS = 12

Now,

\(S_{D}=\sqrt{\frac{SS}{n-1} }\)

\(S_{D}=\sqrt{\frac{12}{4-1} }\)

\(S_{D}=\sqrt{4}\\ S_{D}=2\)

\(S_{\overline D}=\frac{S_{D}}{\sqrt{n} }\)

\(S_{\overline D}=\frac{2}{\sqrt{4} }\)

\(S_{\overline D}=\frac{2}{2}=1\)

Hence, the standard error of the set of D scores is 1.

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You will go down 7 and shifts left twice

Answer = FALSE because

4×2/3 = 4

it less than 2/3 since 2/3 = 0

so answer will be false

The statement "1+1 is the hardest problem in the world" is generally meant to be taken as a joke or a humorous exaggeration.

The phrase may be used ironically to emphasize the difficulty of a seemingly simple task or to highlight the importance of attention to detail. For example, a complex mathematical proof may require multiple steps and involve intricate calculations, but the simplest mistake, such as an error in basic arithmetic, could render the entire proof invalid.

In this context, the phrase "1+1 is the hardest problem in the world" could be used to underscore the importance of checking and double-checking even the most basic assumptions and calculations in complex problem-solving.

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Answer:

- The store sold 733 gallons of ice cream last month.

- The store sold 748 pounds of broccoli last month.

Step-by-step explanation:

Given

\(Ice\ Cream = 623\)

\(\%\ Ice\ Cream = 15\%\)

\(Broccoli = 912\)

\(\%\ Broccoli = 22\%\)

Solving (a): Gallons of Ice Cream

Let Gallons sold last month be G1; Gallons sold this month be G2;

The relationship between both is:

\(G2 =G1 - 15\% * G1\)

Substitute 623 for G2

\(623 =G1 - 15\% * G1\)

\(623 =G1 - 0.15 * G1\)

\(623 =G1 - 0.15 G1\)

\(623 =0.85 G1\)

Divide through by 0.85

\(G1 = 623/0.85\)

\(G1 = 732.941176471\)

\(G1 = 733\)

Solving (b): Pounds of Broccoli

Let Pounds sold last month be P1; Pounds sold this month be P2;

The relationship between both is:

\(P2 =P1 + 22\% * P1\)

Substitute 912 for P2

\(912 =P1 + 22\% * P1\)

\(912 =P1 + 0.22 * P1\)

\(912 =P1 + 0.22 P1\)

\(912 =1.22 P1\)

Divide through by 1.22

\(P1 = 912/1.22\)

\(P1 = 747.540983607\)

\(P1 = 748\)

Answer: 0

Step-by-step explanation: I am going by the words , there WERE 3 ponies. So Sarah couldn’t take any rides.

Answer:

regular hexagon

Step-by-step explanation: