The price of a visit to the dentist is $50 . If the dentist fills any cavities, an additional charge of, 100$ per cavity gets added to the bill.
If the dentist finds cavities, what will the cost of the visit be?
Write your answer as an expression.

Given:

The vertices of ΔWXY are W(-10, 4), X(-3, -1), and Y(-5, 11).

To find:

Which type of triangle is ΔWXY by its sides.

Solution:

Distance formula:

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

Using distance formula, we get

[tex]WX=\sqrt{(-3-(-10))^2+(-1-4)^2}[/tex]

[tex]WX=\sqrt{(-3+10)^2+(-5)^2}[/tex]

[tex]WX=\sqrt{(7)^2+(-5)^2}[/tex]

[tex]WX=\sqrt49+25}[/tex]

[tex]WX=\sqrt{74}[/tex]

Similarly,

[tex]XY=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(11-\left(-1\right)\right)^2}=2\sqrt{37}[/tex]

[tex]WY=\sqrt{\left(-5-\left(-10\right)\right)^2+\left(11-4\right)^2}=\sqrt{74}[/tex]

Now,

[tex]WX=WY[/tex]

So, triangle is an isosceles triangles.

and,

[tex]WX^2+WY^2=(\sqrt{74})^2+(\sqrt{74})^2[/tex]

[tex]WX^2+WY^2=74+74[/tex]

[tex]WX^2+WY^2=148[/tex]

[tex]WX^2+WY^2=(2\sqrt{37})^2[/tex]

[tex]WX^2+WY^2=WY^2[/tex]

So, triangle is right angled triangle.

Therefore, the ΔWXY is an isosceles right angle triangle.

the equivalent expressions are:

And the expression in scientific notation is the last one in the bullet points.

Here we start with the expression:

(9.6*10³)*(6.7*10)

Where both numbers are in scientific notation, notice that we can write that product as:

(9.6*10³)*(6.7*10) = (9.6*6.7)*(10³*10) = 64.32*10⁴

Now, remember that in scientific notation, we only can have a single digit in the left of the decimal point, so we can rewrite:

64.32*10⁴ = 6.432*10⁵

So the equivalent expressions are:

And the expression in scientific notation is the last one in the bullet points.

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Answer:

A. 13.3

General Formulas and Concepts:

Pre-Algebra

Trigonometry

Step-by-step explanation:

Step 1: Set up equation

tan55° = 19/x

Step 2: Solve for x

And we have our final answer!

Answer:

13.3

Step-by-step explanation:

This is trigonometry

So for this one, we use a basic ratio. We need to use 19 and 55 degrees for the answer. We are given that the leg adjacent to the 55-degree angle is x and the opposite leg to the 55-degree angle is 19.

So we use tangent(opposite leg/adjacent leg) for this (TOA of SOH CAH TOA)

tan(55 degrees)=19/x

  SO then solve for x and then evaluate using a scientific calculator and you should get 13.30394322

      13.3

Answer:

200 - 6 = 194

194 / 2   = 97

So the wall pretty much will be

]

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S

A

L

E

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Step-by-step explanation:

Answer:

The greatest of the four integers is 14.

Step-by-step explanation:

Let x be the first integer.

x + (x + 1) + (x + 2) + (x + 3) = 50

4x + 6 = 50

4x = 44

x = 11

11 + 12 + 13 + 14 = 50

Answer:

y = -3, 3

Step-by-step explanation:

The function line goes on both -3 and 3. The answer is y = -3, 3

Answer:

c= -2

m= 2/3

y=2/3x-2

3y=2x-6

Answer:

1.6 mins

Step-by-step explanation:

8 divided by 5 = 1.6

Answer:

8÷5=1.6 answer is 1.6

Step-by-step explanation:

running each lap at 1.6 minutes

Answer:

[tex] - 4x - 2y = - 12 \\ 4x + 8y = - 24 \\ \\ 6y = - 36 \\ y = \frac{ - 36}{6} = - 6 \\ \\ - 4x - 2( - 6) = - 12 \\ - 4x + 12 = - 12 \\ - 4x = - 12 - 12 \\ - 4x = - 24 \\ x = \frac{ - 24}{ - 4} = 6 [/tex]

yes it's a right answer

Step-by-step explanation:

3 n - 10

Answer:

3n-10

Step-by-step explanation:

Distribute

(n-8)-(2n+2)

(n-8)+2n-2

Eliminate Perinthesis

n-8+2n-2

Subtract

n-10+2n

Combine like terms

3n-10

Answer:

Volume of cone is: 47464.23 dm³

Step-by-step explanation:

We are given:

Radius of cone r = 35 dm

Slant Height of cone h = 37 dm

We need to find Volume of the cone.

The formula used to find Volume is: [tex]Volume=\pi r^2\frac{h}{3}[/tex]

Putting values and finding volume:

[tex]Volume=\pi r^2\frac{h}{3}\\Volume=3.14*(35)^2 *\frac{37}{3}\\Volume=47464.23\ dm^3[/tex]

So, volume of cone is: 47464.23 dm³

Answer:phone A

Step-by-step explanation:

phone A is the cheapest

Answer:

The mixture C is the correct option

Step-by-step explanation:

According to the given scenario, the calculation is as follows:

For Mixture A

Blue Paint - 5 cups

White Paint - 12 cups

The ratio between them is 5:12

For Mixture B

Blue Paint - 6 cups

White Paint - 6 cups

 The ratio between them is 6:6 = 12:12

It came by multiply the numerator and denominator by 12

For Mixture C

Blue Paint - 4 cups

White Paint - 12 cups

 The ratio between them is 4:12

For Mixture D

Blue Paint - 5 cups

White Paint - 6 cups

 The ratio between them is 5:6 = 10:12

It came by multiply the numerator and denominator by 12

As it can be seen that in all four mixtures the denominator is the same so for calculating the lowest ratio we have to see the small value in the numerator

As it can be seen that there is a small value of 4

hence, the mixture C is the correct option

Answer:

C mixture

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

True

3 is the base and ^8 is the power or exponent.

Answer:

sally has 400.

Step-by-step explanation:

because if u add 350 and 50 it equals 400

Answer:

300

Step-by-step explanation:

john= 350

sally=350-50

=300

Answer:

about 5.5

Step-by-step explanation:

so 5cm. Just trust me i dont know how to explain but i know its right.

Answer:

C.8cm

Step-by-step explanation:

i took the test its correct

CP = Rs 5750.00

SP = Rs. 5890.00

[tex]\rm \blue{\: mark \: brainleist \: }[/tex]

Answer:

Step-by-step explanation:

4/9 to 20/x

cross multiply and divide to get your answer

4     20

9     x

4x=180

x=45

The number of blue balloons will be equal to 45.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the ratio of red balloons to blue balloons at a party is 4 to 9. There are 20 red balloons. The number of blue balloons will be calculated as below:-

4/9 to 20/x

Cross multiply and divide to get your answer.

4 / 9 = 20 / x

4x=180

x=45

Therefore, the number of blue balloons will be equal to 45.

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Answer: B

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

0.02x=0.8-0.7

0.02x=0.1

x=5

Answer:

x = 5

Explanation :

0.02(5) + 0.7 = 0.8

0.1 + 0.7 = 0.8

Answer:

your photo is not clear

Answer:

The answer is A

To find out the answer, substitute 0 into x and find the value of y. If the value of y is same wlike in the graph, then the equation is correct.

Thank you and please rate me as brainliest as it will help me to level up

Answer:

x=2

Step-by-step explanation:

2x-5x+20=-7+3x+15

-3x+20=8+3x

20-8=3x+3x

12=6x

x=2

Statements are;

1) S(q) represents a quantity that changes at a constant rate per unit interval.

2) S(q) represents a quantity that changes at a constant percent rate per unit interval

3) S(q) represents a linear function

4) S(q) represents an exponential function.

Answer:

Statements 1 & 3 are true while statements 2 & 4 are false

Step-by-step explanation:

We are told that S(q) is a function that represents the quiz score, S, in terms of the number of correctly answered questions, q.

Statement 1 is true because the quiz score(S(q)) changes at a constant rate per unit questions answered since the math quiz has 10 questions and is scored out of 100

Statement 2 is false because S(q) is not expressed as a percentage rate.

Statement 3 is correct because S(q) function is a straight linear functional relationship where it directly depends on the number of correctly answered questions(q)

Statement 4 is false because the relationship is not expressed in exponential form but as a direct linear relationship.

The function S(q) is an illustration of a linear function.

The true statements are:

The false statements are:

From the question, we understand that:

S(q) represents the quiz score in terms of the number of correct answers

This means that:

As the correct answers increases or decreases, the value of s(q) changes at a constant interval

Functions that have such behavior are linear functions because they change at a constant rate

Hence, (a) and (c) are true, while (b) and (d) are false.

Read more about linear functions at:

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Answer:

(2x+1)(x−3)(x−2)

Step-by-step explanation:

Slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

From this graph we should determine two points so we can work out the slope. Let's take points (3, -4) and (6, -2).

The equation to find the slope is:

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

Let's substitute in our values:

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

Remember that two negatives make a positive, let's solve for m:

m = [tex]\frac{2}{3}[/tex]

Okay, now we have the value of m. Now we need the value of b. We can determine this by looking at the graph and looking where the line passes through the y-axis. In this graph, we can see the line pass through the y-axis at point (0, -6).

Therefore we can determine that b = -6.

Let's substitute our value for m and our value for b into the slope-intercept formula:

y = mx + b

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

There's your final answer! I hope this helps, have a great night. :)

Step-by-step explanation:

A subject, a verb, and a complete thought

Answer: A subject, a verb, and a complete thought.

Step-by-step explanation:

                    Independent clauses have three components: