Kevin took his car to Dwain's Automotive to have the engine replaced. Kevin was
told that at the most, the total bill for parts and labor would be $6,300. The cost of
the parts was $3,900. How much could Kevin expect to pay for labor?

Answer:

y=29

X=21

Step-by-step explanation:

180-60=120

4y+4=120 get y by itself and remember that what ever you do to one side you do to the other.

Alternate interior angles are congruent so 3x-3=60

Hence, the values of  [tex]y=29,x=21[/tex].

What is a degree?

A degree, usually denoted by °, is a measurement of a plane angle in which one full rotation is [tex]360[/tex] degrees.

Here given that,

The measure of [tex]x[/tex] and [tex]y[/tex] is

[tex](3x-3) (4y+4)[/tex] and the angle is  [tex]60[/tex] degrees.

As we know the sum of three angles is [tex]180[/tex] a degree.

[tex]180-60=120[/tex] degree

Since [tex]4y+4=120[/tex] get [tex]y[/tex] we are doing it on the one side so we need to do it on the other side also.

And the alternate angles are congruent [tex]3x-3=60[/tex] degrees.

Hence, the values of  [tex]y=29,x=21[/tex].

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Answer:

Point N(4, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = \sqrt{x - 3}[/tex]

[tex]\displaystyle y' = \frac{1}{2}[/tex]

Step 2: Differentiate

Step 3: Solve

Find coordinates

x-coordinate

y-coordinate

∴ Coordinates of Point N is (4, 1).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

there should be 4 points below the trend line

Step-by-step explanation:

4

Answer:

[tex](x-7)^2+y^2=1[/tex]

Step-by-step explanation:

Hi there!

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at (h,k) and the radius is r

1) Plug in the given center (7,0)

[tex](x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2[/tex]

2) Plug in the radius (1)

[tex](x-7)^2+y^2=1^2\\(x-7)^2+y^2=1[/tex]

I hope this helps!

Answer:

48 minutes

Step-by-step explanation:

4.5/3 = 1.5

1.5 x 32 = 48

Tan(d)=105/125 is trigonometric ratio corect

Answer:

[tex]y=-3x+4[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]6x+2y=2[/tex]

Rearrange this equation in slope-intercept form (so it's easier for us to identify the slope)

Subtract 6x from both sides to isolate 2y

[tex]6x+2y-6x=-6x+2\\2y=-6x+2[/tex]

Divide both sides by 2 to isolate y

[tex]y=-3x+1[/tex]

Now, we can tell clearly that -3 is in the place of m. Therefore, because parallel lines have the same slope, we know that the line we're solving for will also have a slope of -3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-3x+b[/tex]

2) Determine the y-intercept

[tex]y=-3x+b[/tex]

Plug in the given point (-1,7)

[tex]7=-3(-1)+b\\7=3+b[/tex]

Subtract 3 from both sides

[tex]7-3=3+b-3\\4=b[/tex]

Therefore, the y-intercept of the line is 4. Plug this back into [tex]y=-3x+b[/tex]:

[tex]y=-3x+4[/tex]

I hope this helps!

Answer: 1/8

Step-by-step explanation:

1/2 x 1/4 = 1 x 1/2 x 4

Answer:

It's 21

Step-by-step explanation:

Multiply the base and the height

Answer:

A.

Step-by-step explanation:

i pretty sure

Answer:

[tex]hope it help you\left \{ {{y=2} \atop {x=2}} \right.[/tex]

Step-by-step explanation:

Answer:

75°

Step-by-step explanation:

The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then

∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°

Answer:

3 millimeters by 10 millimeters

Step-by-step explanation:

Answer:

E)  x^5

Step-by-step explanation:

example, [tex]\sqrt{3}[/tex] = 3^1/2 where '1' is the coefficient of 3

[tex]\sqrt{3}[/tex] is the same as [tex]\sqrt[2]{3}[/tex] (it's assumed to be 2 unless another number is there)

so, √x^10 is the same as x^(10/2) which is x^5

Answer:

its 21

Step-by-step explanation:

0,4 + 5,6 = 21

The answer is boxplot

Answer:

81/792 or 9/88 or 10.2%

Step-by-step explanation:

Possibility: nCr(12,5) = 792
Red: nCr(3,2) = 3
Blue, Green, White: nCr(3,1) = 3

3 * 3 * 3 * 3 = 81

81/792 simplified is 9/88 percentage is 10.22%

The probability that Jamal will catch 2 red balls and 1 ball of each of the other colors is 0.1025.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lies in the close interval of 0 and 1 [0,1].

The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.

The total numbers of balls are 12.

Each color has 3 balls.

If total 12 balls are tossed, the number of ways of catching 5 of them is,

¹²C₅ = 792

The number of ways of catching 2 red balls out of 3 is ³C₂ = 3

The number of ways of catching 1 green ball out of 3 is ³C₁ = 3

The number of ways of catching 1 blue ball out of 3 is ³C₁ = 3

The number of ways of catching 1 white ball out of 3 is ³C₁ = 3

Thus, the probability as per the question is given as follows,

(3 × 3 × 3 × 3)/792

= 81/792

= 0.1025

Hence, the probability of catching 2 red balls and 1 ball of each of the other colors is 0.1025.

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[tex]115 = l \times 2.5 \times 5.75[/tex]

[tex] \huge \mathrm{Answer࿐}[/tex]

given :

[tex]\longmapsto[/tex] volume = 115 yd³

Dimensions are :

We know,

[tex] \large \boxed{ \mathrm{volume = l \times b \times h}}[/tex]

Therefore Length of the prism is 8 yards.

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

5 out of seven is  71%

THank Go oGle

Answer:

Tim read 81 pages.

Step-by-step explanation:

If he read 3 pages on Monday and tripled the amount of pages he red based of off the amount of pages he read the previous day, he would have read 3 pages on Monday, 9 pages on Tuesday, 27 pages on Wednesday, and 81 pages on Thursday.

Monday: 3

Tuesday: 3 x 3 = 9

Wednesday: 9 x 3 = 27

Thursday: 27 x 3 = 81

I hope this helps you! :D

Answer:

look at the picture I have sent

Answer:

1.3

Step-by-step explanation:

First you simplify 2 3/5, which can be 2.6. You will find half of it so 2.6 divided by 2 equals 1.3. She traveled 1.3 miles or 1 3/10 miles before she stopped.

Answer:

There are 6,840 possible outcomes for these awards.

Step-by-step explanation:

Given that a group of 20 people are going to run a race, and the top three runners earn gold, silver, and bronze medals, to determine how many outcomes are possible for these awards, the following calculation must be performed:

20 x 19 x 18 = X

380 x 18 = X

6.840 = X

Therefore, there are 6,840 possible outcomes for these awards.

Total outcomes that are possible for these awards are 6840 outcomes, calculated using permutation.

Total number of people=20

permutation means the arrangement of items while the combination is all about the selection of some out of many.

let us say start with the gold medal

no of ways a gold medal can be given = ²⁰C₁ = 20

Now, the number of people left is 19

no of ways a silver medal can be given = ¹⁹C₁ = 19

Now, the number of people left is 18

no of ways a bronze medal can be given = ¹⁸C₁ = 18

possibility of total outcomes=20*19*18 = 6840ways

Therefore, total outcomes that are possible for these awards=6840

to get more about permutations and combinations refer to the link,

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Answer:

2

Step-by-step explanation:

Answer:

x≤21/10

Step-by-step explanation:

[tex] \frac{1}{5} - 2x \geqslant - 4 \\ - 2x \geqslant - 4 - \frac{1}{5 } \\ 2x \leqslant 4 + \frac{1}{5} \\ 2x \leqslant \frac{21}{5} \\ x \leqslant \frac{21}{10} [/tex]

Answer:

No

Step-by-step explanation:

We need to tell that whether 8 satisfies the given inequality. The inequality is ,

[tex]:\implies[/tex] 48 < 4x

Putting x = 8

[tex]:\implies[/tex] 48 < 4x

[tex]:\implies[/tex] 48 < 4 * 8

[tex]:\implies[/tex] 48 < 32

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{48 < 4x}[/tex]

[tex]\large\textsf{TURN the given EQUATION}[/tex]

[tex]\mathsf{4x > 48}[/tex]

[tex]\large\textsf{DIVIDE 4 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{4x}{4}>\dfrac{48}{4}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{4}{4}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{48}{4}}\large\textsf{ because it helps us compare to the x value.}[/tex]

[tex]\mathsf{x >\dfrac{48}{4}}[/tex]

[tex]\mathsf{\dfrac{48}{4}}\\\\\mathsf{= 48\div4}\\\\\mathsf{\boxed{\bf = 12}}[/tex]

[tex]\boxed{\mathsf{x > 12}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf NO, because }\mathsf{\bf x < 12}\large\text{ \bf \& it is an O.P.E.N. circle shaded}}}\\\boxed{\boxed{\large\text{\bf the right}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

C) 24>x

Step-by-step explanation:

The inequality is just turned around. 24>x is thw same thing as x<24.

Hope this helped :)

Answer:

D

Step-by-step explanation:

x+3≥12

<=> x≥8

so 8 is less than x

x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)

Answer:

B-10⁰

Step-by-step explanation:

5 x 10 is 50, 4 x 10 is 40, add those and you get 90⁰

Answer:

10x2 - 5 (the 2 has to be small too.)

Answer:

7 & 8

Step-by-step explanation:

[tex]\sqrt{60}[/tex] = 7.7459666924148337703585307995648

Therefore, it lies between the whole numbers 7 & 8.

Hope this helps :)