what is the sales tax rate on an $8.50 purchase if the sales-tax rate is 6\(\frac{x}{y} 1/2\)%

There are six orange marbles for every one green marble in the bag.

Step 1: Understand the question.

The question asks us to determine which statement must be true about a bag of colored marbles with a ratio of orange to green marbles of 6:1.

Step 2: Determine the ratio of orange to green marbles.

The ratio of orange to green marbles is 6:1, which means that for every one green marble, there are six orange marbles.

Step 3: Determine the statement that must be true.

Therefore, the statement that must be true about this bag of marbles is that there are six orange marbles for every one green marble in the bag.

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Answer: For Mrs. Bhan, she pay 9.75 each visit for ten time so 10 ÷ 97.50

I don’t know how to answer for Mr. Stewart but I answer Mrs. Bhan. Hope this helps!

Answer:

Step-by-step explanation:

a)

eq 1) 97.50 = fee + 10x

eq 2) 83.50=fee +8x

subtract eq 2 from eq 1

14 = 2x

7 =x

each visit costs $7

b)

97.50 = fee + 10(7)

97.5- = fee +70

27.5 = fee

it costs $27.50 to sign up at the gym

( this seems like an expensive gym )

c)

gym costs = 27.50 + 7 per visit

cost = 27.50 +7x

( let's look for a less expensive gym :D  )

Answer:

x=10 and y= 8.

Step-by-step explanation:

Given that the cost of 1 banana = $0.60

Cost of 1 mango = $1.50.

Total cost= $ 18  

Here, x be the number of bananas and y be the numbers of mangos,

As the number of bananas is 2 more than the number of mangos,

So, x=y+2

\(\Rightarrow y=x-2 \cdots(i)\)

Cost of x bananas \(=\$ 0.60 \times x\)

Cost of y mangos \(=\$ 1.50 \times y\)

Total cost = 0.6x+1.5y

\(\Rightarrow 18 = 0.6x+1.5y\\\\\Rightarrow 1.5y=18-0.6x\\\\\Rightarrow y= 12 - 0.4 x \cdots(ii).\)

Solving both the equations (i) as well as (ii), graphically as shown in the figure by plotting both the graphs.

Both the graphs intersect at the point (10,8) as shown in the graph.

So, the solution of both the equations is, (x,y)=(10,8). i.e

The number of bananas = x= 10 and

the number of mangos = y = 8.

The wοrd "unabated" is used in Narrative οf the Life οf Frederick Dοuglass, An American Slave.

The wοrd "unabated" in this cοntext can be interpreted tο mean "cοntinuing withοut any reductiοn in intensity οr strength." "That cheerful eye, under the influence οf slavery, swοre red with rage; that vice, made all οf sweet accοutrement, changed tο a οne οf harsh and hοrrid discοrd; and that angelic face gave way tο that οf a demοn."

The authοr is describing hοw the slavehοlder's pοwer οver the slaves cοrrupts the wοman's character, turning her previοusly kind demeanοur intο οne οf rage and discοntent. The wοrd "unabated" emphasises hοw persistent and unyielding this transfοrmatiοn is and hοw unlikely it is that it will diminish.

By examining the surrοunding text and cοmmοn usage, I was able tο determine the definitiοn οf the wοrd "unabated." In this sentence, the authοr's descriptiοn οf the slavehοlder's transfοrmatiοn is well-suited tο the wοrd "unabated," which is generally used tο describe sοmething that cοntinues withοut any lοss οf intensity οr strength.

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Answer: $2.50

Step-by-step explanation:

Hello!

A flat booking fee is usually about 10% of the cost which will leave you with $2.50.

Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

A commission is a charge or payment given to a person or group in exchange for a good or service. When selling goods or services on behalf of a corporation, sales representatives or agents are frequently compensated with commissions in the business world. For instance, a stockbroker may receive a fee for carrying out a trade on behalf of a customer, while a real estate agent may receive a commission depending on the sale price of a property they assist in selling.

Riya receives a 6% commission for selling newspaper ads, and if she sells 15 ads for $50 each, her total earnings can be calculated as follows:

Total earnings = Total sales x Commission rate

The total sales from selling 15 ads at $50 each are:

Total sales = 15 x $50 = $750

The commission rate is 6%, which can be written as 0.06 as a decimal.

Plugging these values into the formula, we get:

Total earnings = $750 x 0.06 = $45

Therefore, Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

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The sum of the series ∑n=1[infinity]6n(n + 2) is ∞.

To find the sum of the series ∑n=1[infinity]6n(n + 2), we can use the formula for the sum of a series of the form ∑n=1[infinity]an = ∞∑n=1(an − an−1), where a0 = 0.

First, we need to find an expression for the nth term of the series, an. Using the formula for the product of two consecutives integers, we can write:

an = 6n(n + 2) = 6n^2 + 12n

Next, we can compute the difference between consecutive terms:

an - an-1 = [6n^2 + 12n] - [6(n-1)^2 + 12(n-1)]

= 6n^2 + 12n - 6(n^2 - 2n + 1) - 12(n - 1)

= 6n^2 + 12n - 6n^2 + 12n - 6 - 12n + 12

= 6

Therefore, we have:

∑n=1[infinity]6n(n + 2) = ∞∑n=1(6) = ∞

The series diverges to infinity.

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Answer: B. f(x)=(x+4)(x-2)^2(x+3)

Step-by-step explanation:

in the graph there's two negative x value and one positive x value

so the function should be in a form of f(x)= (x+a) (x-b)^2 (x+c)

the one with negative value has a square, (x-b)^{2}, because that's where the y = 0 (the point is hitting the (x,0))

Answer: B

Step-by-step explanation:

Answer:

1: Linear

2: Linear

Step-by-step explanation:

Scenario 1:

Equation: y=8x  (where x represents # of hours worked)

The graph would be linear.

Scenario2:

Equation: y=5x (where x is the # of boxes of donuts purchased)

The graph would be linear. ( I assumed that each box is $5 since 5/1=10/2 )

A similar situation could be: In an art shop, crayons are sold. It costs $7 for 1 box of crayons.

- The graph would be linear, and it would be constant as long as the price for each box of crayons is not changed. Equation is: y=7x

I'm not sure if this is exactly what the last question asked, pretty sure this would be an okay example.

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

Here,

Given : Triangle STU is a right triangle.

Thus,

We find :

sides s,t and u

the relationship between them is :

As it is a right triangle

So,

According to the pythagoras theorem,

=>u²= t²+s²

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

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The store owner's profit is 25% of the selling price of grapes, which corresponds to option B.

The store owner buys the grapes for 80 cents and sells it for 100 cents, so the profit is 100-80 = 20 cents.

The percentage of the profit is (profit/cost) x 100%. In this case, the profit is 20 cents and the cost is 80 cents, so the percentage of profit is (20/80) x 100% = 25%.

Therefore, the store owner's profit is 25% of the selling price of grapes, which corresponds to option B.

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Answer:

T: (-10,1)

S: (-10,-4)

U: (-5,1)

V:  (-5,-4)

Step-by-step explanation:

Translation means moving the object. Subtract 4 from each x value and add 1 to each y value.

Answer:

T' = (-10, 1)

S' = (-10, -4)

U' = (-5, 1)

V' = (-5, 4)

Step-by-step explanation:

      To do this, we will take each coordinate point, subtract four units from the x-value, and add one unit to the y-value.

T = (-6, 0) ➜ (-6 - 4, 0 + 1) ➜ T' = (-10, 1)

S = (-6, -5) ➜ (-6 - 4, -5 + 1) ➜ S' = (-10, -4)

U = (-1, 0) ➜ (-1 - 4, 0 + 1) ➜ U' = (-5, 1)

V = (-1, -5) ➜ (-1 - 4, -5 + 1) ➜ V' = (-5, 4)

Answer:187.2

Step-by-step explanation:

Actual price $390

After 60% discount price will be 156

And Sales tax is 8% . Then the price of sales tax is $31.2.

156+31.2= $187.2

Answer:

168.48

Step-by-step explanation:

IXL

Answer:

-20

Step-by-step explanation:

when you solve:  -7u-7=7, you get u= -2 and when you plug it in you get this equation 9(-2)-2=?

then you get -20

Hey there!

-7u - 7 = 7

ADD 7 to BOTH SIDES

-7u - 7 + 7 = 7 + 7

CANCEL out: -7 + 7 because it give you 0

KEEPs 7 + 7 because it help solve for the u-value

NEW EQUATION: -7u = 7 + 7

SIMPLIFY IT!

-7u = 14

DIVIDE -7 to BOTH SIDES

-7u/-7 = 14/-7

CANCEL out: -7/-7 because it give you 0

KEEP: 14/-7 because it give you the

u-value

NEW EQUATION: u = 14/-7

SIMPLIFY IT!

u = -2

SOLVING FOR : 9u - 2

9u - 2

= 9(-2) - 2

= -18 - 2

= -20

Therefore, your answer is: -20

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

3/5

Step-by-step explanation:

I just know

Answer: 3/5

Step-by-step explanation:

Answer:

A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected. Hence, the decision was  to retain the null hypothesis .

Step-by-step explanation:

A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected then the value of the test statistic is equal to zero.

Then the decision  would be to retain the null hypotheses as zero is included in any value of the level of significance applied.

The chi square is a continuous distribution ranging from zero to plus infinity.

Between Method A with a MAD(Mean Absolute Deviation) of 1.4 and Method B with a MAD (Mean Absolute Deviation) of 1.8, Method A performed better as it has a smaller MAD value.

To decide which estimating strategy performed the leading, we got to compare their Mean Absolute Deviation (Mad) values. Mad may be a degree of the average outright contrast between the genuine values and the forecasted values.

A little Mad esteem shows distant better; a much better; a higher; stronger; an improved" an improved forecasting accuracy, because it implies the forecasted values are closer to the real values.

Hence, between Strategy A with a Mad of 1.4 and Strategy B with a Mad of 1.8, Strategy A performed way better because it incorporates littler Mad esteem.

Be that as it may, it's vital to note that Mad alone does not allow a total picture of the determining execution. Other measurements, such as Mean Squared Blunder (MSE) or Mean Supreme Rate Blunder (MAPE) ought to too be considered to assess the exactness of the estimating strategies.

Furthermore, the setting and reason for the determining ought to too be taken under consideration when choosing the fitting estimating strategy. 

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Answer:

a) distance = 0.5m

b) acceleration = -1.25m/s²

Step-by-step explanation:

v = d/t

d = vt

d = 10/20

= 0.5

a = v/t

= -10/8

= -1.25

a is negative because in the last 8s the care decelerate

Answer:

x = 37/45

Step-by-step explanation:

Here's how similar triangles work. We set up an equation as SIDE 1A/ SIDE 1B = SIDE 2A/ SIDE 2B

Ok, so these 2 triangles are similar, so we can set up a butterfly equation:

Side 1a would be 8x

Side 1b would be 5x +3

Side 2a would be 10x - 2

Side 2b would be 7x

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

Our equation would be

8x/(5x+3) = (10x-2)/7x

We cross multiply to get 8x(10x-2) = 7x(5x+3)

Instead of solving and getting squares, we can x on both sides and we get:

8(10x - 2) = 7(5x+3) ----> we simplify to get

80x - 16 = 35x + 21 ----> it's easy sailing from here.

45x = 37

x = 37/45

gosh i hope it's right...

Answer: 10 days

Step-by-step explanation: It should be 10 days, I checked just to make sure. Here's the original reply I put before:

It's a fifth of the workers compared to before (2 now compared to 10 before). If 10 workers need 5 days, then 2 workers need 5 times that, so around 25 days, however that's considering they do 2 hours a day. The problem is that they do 5 hours now, so its 2.5 times more, so ideally they would take less time, meaning you divide 25 by 2.5, which gives 10 days.

The set P(A:B) consists of subsets of A that contain B. There are four subsets in total. In part (b), it is shown that P(A:ϕ) (where ϕ represents the empty set) is equal to P(A), the power set of A.

(a) To find the members of P(A:B), we consider subsets of A that contain B. In this case, the subsets that satisfy this condition are {{a, b}, {a, b, c}, {a, b, d}, {a, b, c, d}}. These subsets include B as well as additional elements from A. Therefore, P(A:B) = {{a, b}, {a, b, c}, {a, b, d}, {a, b, c, d}}. There are four subsets in total.

(b) To prove that P(A:ϕ) = P(A), we need to show that every subset of A contains the empty set ϕ. Since the empty set has no elements, it is a subset of every set, including A. Therefore, every subset of A contains ϕ. This implies that P(A:ϕ) = P(A).

In conclusion, for the given sets B = {a, b} and A = {a, b, c, d}, the set P(A:B) consists of four subsets: {{a, b}, {a, b, c}, {a, b, d}, {a, b, c, d}}. Additionally, it is shown that P(A:ϕ) is equal to P(A), indicating that every subset of A contains the empty set ϕ.

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Answer:

csc θ * sin θ

Simplified using trig identities:  

csc (x) = 1/sin(x)  

so, csc (0) = 1/sin(0)  

1/sin(0) * sin (0), the result will be sin(0) / sin (0) which is equal to 1.  

Therefore, the answer is 1.

Step-by-step explanation:

Expression in sin θ and cos θ below

4cos ec^2  2θ as 2 /    2 (4 sin θ cos θ )^2

or

cos ec^2 θ as 1 / sin ^2  θ

. Accept terms like

cos ec^2 θ = 1  +cot^2 θ =1 +  cot^2 θ /sin^2 θ

The function y = tan^(-1)(x), also known as arctan(x), represents the inverse tangent function. The domain of this function is (-∞, +∞), meaning it accepts any real number as an input. The range of the function is the interval [-π/2, π/2], which includes the values from -π/2 to π/2 in radians.

The function y = tan^(-1)(x), or arctan(x), represents the inverse tangent function. The inverse tangent of a given value returns the angle whose tangent is equal to that value.

Part A: The domain of the function y = tan^(-1)(x) is the set of allowable input values. In this case, since the tangent function is defined for all real numbers except odd multiples of π/2, the domain of the inverse tangent function is also all real numbers. Thus, the domain is (-∞, +∞).

Part B: The range of the function y = tan^(-1)(x) represents the set of possible output values. By analyzing the graph, we observe that the graph of y = tan^(-1)(x) spans from -π/2 to π/2, inclusive of both endpoints. Therefore, the range of the function is the interval [-π/2, π/2] in radians.

Understanding the domain and range of the inverse tangent function helps us determine the valid input values and the corresponding output angles within a specific interval.

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The correct statement regarding R-squared is: "Its value is always between -1.0 and 1.0. A value of 1.0 indicates the line is a perfect fit for the data."

R-squared (²) is a statistical measure that represents the proportion of variance in the dependent variable that is explained by the independent variable(s) in a regression model. The value of R-squared ranges from -1.0 to 1.0.

A value of 1.0 indicates that the regression line perfectly fits the data, while a value of 0 indicates that the model cannot explain any variance in the dependent variable. A negative value indicates that the model is worse than just using the mean of the dependent variable.

Therefore, the best fit line for the data is the one that has an R-squared value closest to 1.0, indicating that it explains a high percentage of the variance in the dependent variable based on the independent variable(s). It is important to note that an R-squared value above 1.0 is not possible and may indicate a mistake in the calculations.

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Answer:

(3,1)

Step-by-step explanation:

When a point is reflected across the y axis, the sign of its x coordinate flips. Since point A is at (-3,-5), when it is reflected across the y axis its new position will be (3,-5). Now, point A is 3 units from the line y=-2, meaning that when it is reflected across it will be 3 units away from the other direction. (-2+(3))=1, meaning that the final coordinates of point A are (3,1). Hope this helps!

Therefore ,perimeter of square photo frame = 63.2 centimeter.

The total length of boundary of a closed geometric shape is called perimeter. Different geometric shape has different formula for determining perimeter. For a square shaped object perimeter is the four times of its side length.

Here,

Area of a square photo frame = 250 square centimeter.

We know, area of a square photo frame = square of side length

if side length = s

area = s²

it is given that area of a square photo frame = 250 cm²

250 cm² = s²

s = √250 cm

s = 15.81 cm

side length = 15.81 cm

formula for perimeter = 4× side length

perimeter of frame = 4×15.81 = 63.24 cm

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The equation that can be solved to determine x, the number of hours after which the costs would be the same is; 50x + 250 = 75x + 100

The general formula for the slope intercept form of an equation is;

y = mx + c

We are told that;

Charge per hour = $50

Ownership rights = $250

Thus, for the first company, total cost is;

y = 50x + 250

For the second company;

Total cost is;

y = 75x + 100

Thus, at same cost, we have;

50x + 250 = 75x + 100

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Answer:

50x + 250 = 75x + 100

Step-by-step explanation:

I did the test

Answer:

The answer is: x-y-10=0

Answer:

Explanation:

Question 1 asks whether a given table represents a linear or nonlinear function. To determine this, one needs to check whether there is a constant rate of change between input (x) and output (y) values. In this case, the table represents a nonlinear function because the rate of change is not constant. The y values increase from 4 to 2 to 0 and then increase again, indicating a U-shaped curve.

Question 2 asks the same question but with a graph provided. In this case, the graph represents a nonlinear function because the rate of change is not constant. The points do not form a straight line but instead create a curved shape.

Question 3 asks which of the given equations represents a linear function. Only one of the equations, y equals two thirds times x plus 4, follows the general form y = mx + b, and thus represents a linear function.

Question 4 asks which of the given tables represents a linear function. The first and fourth tables have a constant rate of change, as the y values increase by the same amount for each increase in x, and thus represent linear functions.

Question 5 asks which of the given graphs represents a linear function. The first graph represents a linear function because the points form a straight line. The other graphs do not form straight lines, indicating nonlinear functions.

Question 6 asks whether a given equation represents a linear or nonlinear function. The equation represents a linear function because it follows the general form y = mx + b and its graph produces a straight line.

Question 7 asks whether a given table represents a linear or nonlinear function. The table represents a nonlinear function because the graph does not show a constant rate of change. The rate of change appears to be decreasing, as the y values decrease more rapidly for larger x values.