A local city collects 8% sales tax. If the total purchase was $216.09,then how much was collected for sales tax?

Answer:

[tex]\boxed{\textsf{ The possible values of y is \textbf{ 3 or -3 }.}}[/tex]

Step-by-step explanation:

Here Point A and B are 5 units apart . The coordinates of A are (-1,2) and B is (-1,y) .We need to find the possible coordinates of y . So let's use Distance Formula :-

[tex]\rule{200}2[/tex]

★ Distance Formula :-

If we need to find the distance between two points say , [tex]\sf ( x_1,y_1 ) \:\:\:\: \& \:\:\:\: ( x_2,y_2) [/tex] , then we can find out the distance as ,

[tex]\boxed{\boxed{ \sf Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2 } }}[/tex]

[tex]\rule{200}2[/tex]

Put on the respective values ,

[tex]\sf\implies Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2 } \\\\\sf\implies Distance = \sqrt{ (-1+1)^2+(2-y)^2}\\\\\sf\implies Distance =\sqrt{ (2-y)^2 } \\\\\sf\implies 5^2 = (2-y)^2 \\\\\sf\implies 5 = \pm (2-y) \\\\\sf\implies 5 = (2-y) \qquad or \qquad 5= -(2-y)\\\\\sf\implies y = 2-5 \qquad or \qquad y = 5-2 \\\\\sf\implies\boxed{\pink{\frak{ y = \pm 3 }}}[/tex]

Answer:

= 3 to 7

= 3 : 7

= 3/7

Step-by-step explanation:

Number of people who ride the tram = 3

Number of people who does not ride the tram = 4

Total people = 3 + 4 = 7

Ratio of people who ride the tram to all people in three ways.

= 3 to 7

= 3 : 7

= 3/7

Ratio of all people to people who​ don't ride the tram in three ways.

= 7 to 4

= 7 : 4

= 7/4

Ratio of people who ride the tram to all people in three ways.

= 3 to 7

= 3 : 7

= 3/7

Answer:

b ≥ 11

Step-by-step explanation:

b + 4 ≥ 15

b ≥ 15 - 4

b ≥ 11

The solutions to the system of equations x² + y² = 4, x + y = 2 are given as follows:

(0,2) and (2,0).

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

The equations for this problem are given as follows:

The two functions intersect at the intercepts of the line, as shown by the image presented at the end of the answer, which are the solutions to the system of equations.

More can be learned about a system of equations at https://brainly.com/question/30374328

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Answer:

45°

Step-by-step explanation:

AD⊥BC, BE⊥AC, CF⊥AB           AB = CK

∠1 + ∠2 = 90°        ∠5 + ∠2 = 90°              ∴ ∠1 = ∠5

∠5 + ∠4 = 90°                                            ∴ ∠4 = ∠2

AB = CK

ΔABD ≅ ΔCKD  (ASA)

AD = CD       ∴ΔADC is an isosceles triangle

∠C = ∠CAD = 45°       (∠C + ∠CAD = 90°)

Answer:

1. EFG= 90°

2.GDH=90/2=45°

3.FEG=90/2=45

4.DHG=90°

Answer:

The bill was $36.95 without tax.

The price before tax was the amount of $37.25 which is before a 9% sales tax was added to their bill.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Their bill was charged a 9% sales tax.

Amy paid the bill with a $10 gift certificate plus $30.60

Use the equation P + rP =T,

where P is the price before tax, r is the sales tax rate, and T is the total price, including tax.

The price before tax (P) is unknown.

The total price(T) = 30.60 + 10 = 40.60

The sales tax rate (r) = 9% = 9/100 = 0.09

⇒ P + rP = T

Substitute the values in the above equation, and we get

⇒ P + (0.09)P = 40.60

⇒ P(1 + 0.09) = 40.60

⇒ P(1.09) = 40.60

⇒ P = 30.60/(1.09)

Apply the Division operation, and we get

⇒ P = 37.247706

Rounded to the nearest hundredth

⇒ P = 37.25

Therefore, the price before tax was the amount of $37.25.

Learn more about Arithmetic operations here:

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Answer:

5.4

Answer: The value of x rounded to the nearest tenth is 5.4.

Step-by-step explanation:

here are the answers:

#1

#2=11

#3=-2

#4=70

you just need to subtract the amount of yellow from the amout of green

amount of yellow paint -amout of green paint =amount of blue paint

X represents the number of arrangements.

Answer:

y= *greater than or equal to sign* 2500x+17500

The answer is: A

Step-by-step explanation:

Hope this help   :)

Answer:

It's C

Step-by-step explanation:

I put in A for my exam but it said it was incorrect and it said the answer was C :')

Answer:

x = 11.8

Step-by-step explanation:

hypotenuse = 12

1 leg = 10 - 8 = 2

Formula:

a² + b² = c²

a² + 2² = 12²

a² + 4 = 144

a² = 144 - 4

a² = 140

[tex]\sqrt{a^2} =\sqrt{140}[/tex]

a = 11.8

Answer:

x = 11.8

Step-by-step explanation:

hypotenuse = 12

1 leg = 10 - 8 = 2

Formula:

a² + b² = c²

a² + 2² = 12²

a² + 4 = 144

a² = 144 - 4

a² = 140

Answer:

[tex]a=3\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]a+5\frac{2}{3} =9[/tex]

[tex]a+5\frac{2}{3}-5\frac{2}{3}=9-5\frac{2}{3}[/tex]

[tex]a=3\frac{1}{3}[/tex]

Answer:

kylie is slow and so am i

Step-by-step explanation:

Answer:

6x+2

Showing the work :

8x−5−2x+7

=8x+−5+−2x+7

Combine Like Terms:

=8x+−5+−2x+7

=(8x+−2x)+(−5+7)

=6x+2

_____________________________________

*rate this answer and say thanks please!

Answer:7 - 9 = -2

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

9 * 7 = 63

Answer:

d = 4.90

Step-by-step explanation:

Given the following data;

F = 9

d = 4

For an inversely proportional relationship, we have;

F = k/d²

Now, we would find the constant, k;

9 = k/4²

k = 9*16

k = 144

Next, to find d, when F = 6

d² = k/F

d² = 144/6

d² = 24

Taking the square root of both sides, we have;

d = 4.90

Answer:

A. Arithmetic; d = 1.5

Step-by-step explanation:

-4, -2.5, -1, 0.5, 2

Looking at the sequence, we can see that the numbers increase. This means our common ration or difference will be positive.

Let's look at common ratios first.

To find the common ratio, divide one term from the term after it.

r = a₂ ÷ a₁

r = -2.5 / -4

Divide.

r = 0.625

To see if this is the common ratio, we want to test this with the other numbers of the sequence.

r = a₃ ÷ a₂

r = -1 / -2.5

r = 0.4

This is not consistent; therefore our sequence is not geometric.

Let's look at common differences next.

To find the common ratio, subtract one term from the term after it.

r = a₂ - a₁

r = -2.5 - (-4)

Simplify.

r = -2.5 + 4

Add.

r = 1.5

To see if this is the common difference, we want to test this with the other numbers of the sequence.

r = a₃ - a₂

r = -1 - (-2.5)

Simplify.

r = -1 + 2.5

r = 1.5

This is consistent; therefore we have found our common difference of this arithmetic sequence.

A. Arithmetic; d = 1.5

Hope this helps!

Answer:

5.25 + 5.25 = 10.5

8.5 - 3.25 = 5.25

so

5.25 & 8.5 are the answers consequently

Answer:

y = -1

Step-by-step explanation:

Given x = 30 , y = 14 -0.5x

Find y

let (x = 30) fill in y

y = 14 - 0.5(30)

y = 14 - 15

Answer:

X+3=0

X=-3

H(x)=6*-3 - 10

H(x) =-18 - 10

H(x) =-28

Answer:

Charlie is 20.5 inches tall

Step-by-step explanation:

Henry: 24 inches

            3 and 1/2 inches taller than Charlie

Charlie: 24 - 3.5 inches

            20.5 inches

Answer:

9 inches

Step-by-step explanation:

henry = 3 inches more than 1/2 of charlie

24=henry

24/2= 12-3=9 inches hope this helps

Answer:

A

Step-by-step explanation:

The area of the large triangle is 36*24/2

minus the small triangle which is 21*14/2

so 432-147 = 285

Answer:

can I get a hiaaa

How was the government able to make children go to residential school?

Answer:

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Answer:

Difference in the lengths of the polygons is (x + 7) units.

Step-by-step explanation:

Lengths of the given polygon = (7x + 2) units and (6x - 5) units

Therefore, difference in the given lengths = (7x + 2) - (6x - 5)

                                                                      = (7x - 6x) + (2 + 5)

                                                                      = x + 7

Therefore, difference in the lengths of the polygons is (x + 7) units.