Seventeen is eight more than three times a number. Write this equation.

Answer:

potential solutions- 1

extraneous solutions- 0

solution to equation- x=3

Step-by-step explanation:

Answer:

A. 5(1 + 3x)

Step-by-step explanation:

5(1 + 3x)

(5 × 1) + (5 × 3x)

5 + (5 × 3x)

5 + 15x

A works. Let's check the rest.

1(5 + 3x)

(1 × 5) + (1 × 3x)

5 + (1 × 3x)

5 + 3x

B does not work.

3(5 + х)

(3 × 5) + (3 × x)

15 + (3 × x)

15 + 3x

C doesn't work.

5(3x)

5 × 3x

15x

B, C, and D do not work.

Answer:

x = 60

Step-by-step explanation:

(x + 50)° + (x + 10)° = 180° (interior angles on the same side of transversal)

(2x + 60)° = 180°

2x + 60 = 180

2x = 180 - 60

2x = 120

x = 120/2

x = 60

Answer:

Step-by-step explanation:

a+b=58 and 4a-2b=28 is the system of equations

solving the first for a, a=58-b, using this value for b in second equation is

4(58-b)-2b=28

232-4b-2b=28

232-6b=28

-6b=-204

b=34, and since a=58-b

a=58-34

a=24

So the two numbers are 24 and 34

Answer:

Speed = distance / time

= 6/3 =2 ft/sec

Time = distance / speed

= 60/2

= 30 seconds

Answer:

A. x^2−x+6

B. 2x^2−11x+12

C. x^2−4

Step-by-step explanation:

Hope it helps

A. Distribute:

=(x)(x)+(x)(−3)+(2)(x)+(2)(−3)

=x2+−3x+2x+−6

Combine Like Terms:

=x2+−3x+2x+−6

=(x2)+(−3x+2x)+(−6)

=x2+−x+−6

B. I can't find an explanation

C.  I can't find an explanation

Answer:

So we apply the distributive property to get

a) x^2 - 3x + 2x - 6

b) 2x^2 - 8x - 3x + 12

c) x^2 - 2x + 2x - 4

then we add like terms to get

a) x^2 - x - 6

b) 2x^2 - 11x + 12

c) x^2 - 4

brainliest please?

Answer:

11. 78

12. 4x² - 3x - 1

Step-by-step explanation:

11. Sum of n whole numbers = ½(n² + n)

Multiply

½*n² + ½*n

= n²/2 + n/2

To find the sum of the first 12 whole number, substitute 12 for n into the equation.

= 12²/2 + 12/2

= 144/2 + 12/2

= 72 + 6

= 78

12. Area of trapezoid = ½(a + b)*h

Where,

a = 5x - 4

b = 3x + 2

h = x + 1

Area = ½(5x - 4 + 3x + 2)*(x + 1)

Area = ½(8x - 2)*(x + 1)

Area = ½[8x(x + 1) -2(x + 1)]

= ½[8x² + 8x - 2x - 2]

Add like terms

= ½(8x² - 6x - 2)

= ½(8x²) - ½(6x) - ½(2)

= 4x² - 3x - 1

Answer:

YES X=3

Step-by-step explanation:

10x=3x+21

-3x    -3x

7x=21

________ . *DIVIDE BY 7 on each side

7     7

X=3

9514 1404 393

Answer:

Step-by-step explanation:

Pi is the name given to the ratio of the circumference to the diameter of a circle. It is the same irrational value for all circles. "Pi" is the 16th letter of the Greek alphabet. The lower-case symbol π is used to represent the value ...

  3.1415926535897932384626433...

The value has been calculated to more than 31 trillion digits. The exercise of doing that is often used to test supercomputers and computer clusters.

__

"Pie" is something else entirely. Most often, it belongs on the dessert cart, not in a number set.

Answer:

it is 500500

Step-by-step explanation:

learned this fact a few years ago and it stuck with me.

Answer:

[tex] \boxed{ \tt{x = 201 \:m}}[/tex]

Step-by-step explanation:

[tex]applying \: the \: sine \: rule \to \\ \: \sin(38) = \frac{x}{327} \\ x = 327 \sin(38) \\ x = 201.32[/tex]

Answer:

a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.

Four components means that [tex]n = 4[/tex]

Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]

a) Find the probability that exactly two of the four components last longer than 1000 hours.

This is [tex]P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) Find the probability that the subsystem operates longer than 1000 hours.

It will operate if at least two compoents last longer than 1000 hours. So

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]

[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]

0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Answer:19

Step-by-step explanation:perimeter is everything added since it’s a rectangle 10 on both length sides will be 20 so 58-20 is 38 divide that by 2 and that’s your answer.

Answer:

x is 44 because

3x+4+x=180

4x=180-4

4x=176

x=44

9514 1404 393

Answer:

  Chun is correct

Step-by-step explanation:

The angle bisector divides the sides of the triangle proportionally. Any proportion that is written should equate ratios of corresponding sides.

Chun's proportion correctly relates the top-side measures to their corresponding bottom-side measures:

  top short : bottom short = top long : bottom long

  5 / 8 = 15 / x

__

Traci's error is that she mixes top-side and bottom-side measures. Her incorrect relation is ...

  top short : bottom long = bottom short : top long

She has used top:bottom for short measures and bottom:top for long measures. This mixing will give Traci an incorrect solution.

__

Chun's proportion correctly gives x=24.

Answer:

Step-by-step explanation:

Chun; by the Triangle Angle Bisector Theorem, the correct proportion is  58=15x.

A trapezoid consists of two triangles.

A trapezoid does indeed contain two triangles within its structure. A trapezoid is a quadrilateral with one pair of parallel sides.

The other two sides, known as the legs, are not parallel and meet at a point. These legs, along with the two parallel sides, form two triangles within the trapezoid.

One triangle is formed by connecting the two legs and one of the parallel sides. The other triangle is formed by connecting the two legs and the other parallel side.

So, a trapezoid consists of two triangles.

Learn more about Trapezoid here:

https://brainly.com/question/19340938

#SPJ6

Answer:

6+4=10 and 10+5=15

Step-by-step explanation:

Answer:

The last one, 81000 sq ft.

Step-by-step explanation:

To find area, you do length times width.

81,000 ft. squared

Answer:

5.34 pages/h

Step-by-step explanation:

4/45 = p/60

p ≈ 5.34

Answer:

Step-by-step explanation:

3/4 of an hour is the same as 0.75

Write a proportion.

4 (pages)/0.75 (hours)=p(pages)/1 hour

Cross multiply and divide

(4x1)÷0.75=5.33 (rounded to the nearest hundred)

p=5.33

Marcia can type 5.33 pages per hour.

Answer:

21

Step-by-step explanation:

asdawda

Answer:

Perpendicular bisector theorem

Step-by-step explanation:

The illustration of the theorem is:

If point B is a perpendicular bisector of Line AC and the length of AC is 10cm

Then

[tex]AB + BC = 10[/tex]

Where

[tex]AB = BC[/tex] --- Perpendicular bisector

So, the equation becomes

[tex]AB + AB =10[/tex]

[tex]2AB =10[/tex]

[tex]AB = 5[/tex]

Recall: [tex]AB = BC[/tex]

[tex]AB = BC = 5[/tex]

Answer:

D

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf D. \ 64x^{12}y^6z^2}}[/tex]

Step-by-step explanation:

This is an example of a power to a power. The exponents inside the parentheses are being raised to another power outside the parentheses. We multiply the exponents and take the coefficients (number in front of the variables) to the power.

[tex](8x^6y^3z)^2[/tex]

Remember that a variable without an exponent has an implied exponent of 1.

[tex]8^2x^{6*2}y^{3*2}z^{1*2}[/tex]

Solve the coefficient's exponent.

[tex]64x^{6*2}y^{3*2}z^{1*2}[/tex]

Multiply the exponents.

[tex]64x^{12}y^{6}z^{2}[/tex]

So, the expression given is equal to Choice D: 64x¹²y⁶z²

Answer:

The answer is B 200

Step-by-step explanation:

i just took the test so yah :)

Answer:

0.345

Step-by-step explanation:

hits/at-bats = 345/1000 = 0.345

The probability of a hit, any particular time he goes to bat. is 0.345.

The problem does not request any particular format, so 0.345 is a perfectly good answer.

In baseball, that is called a 'batting average', and is actually expressed that way - as a decimal - in a player's statistics.

On the other hand, if we did want to express the probability as a percentage, we would do this:  

0.345 * 100% = (0.345 * 100) % = 34.5 %

Hope this helps

Answer:

So, the domain are:

[tex]x = 4,1,0,-1[/tex]

The range are:

[tex]y = 2,3,0,-1,-3[/tex]

Step-by-step explanation:

Given:

[tex]\{(4, 2), (1, 3), (0, 0), (-1, -1), (1, -3)\}[/tex]

Required

The domain and the range

In relation, we have:

[tex]\{(x_1, y_1), (x_2, y_2), ......, (x_n, y_n)\}[/tex]

Where the x values are the domain and the y values represent the range.

So, the domain are:

[tex]x = 4,1,0,-1[/tex]

The range are:

[tex]y = 2,3,0,-1,-3[/tex]