what is the missing reason in the proof?

Answer:

Step-by-step explanation:

Let "ab" represent the digits of the number. The value of "ab" is 10a+b.

a+b = 7

The value of "ba" is 10b+a

(10b+a) - (10a+b) = 9b-9a = 27

b-a = 3

a+b = 7

b-a = 3

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

2b = 10

b = 5

a = 2

The number is 25.

10⁹ + 10⁸ + 10⁷ = 10⁷ (10² + 10¹ + 10⁰)

… = 10⁷ (100 + 10 + 1)

… = 10⁷ × 111

… = (2 × 5)⁷ × 111

… = 2⁷ × 5⁷ × 111

… = 2⁷ × 5⁶ × 555

Answer:

126720x⁸

Step-by-step explanation:

explanations are in the images above .. you can reach me personally for expanded help

Answer:

.

Step-by-step explanation:

Answer:

a=3

b=1

Step-by-step explanation:

3=2a-3 => a=3

b=2*2-3 = 1

Answer:

15:21:35 (I'm not sure, but this is my best guess)

Step-by-step explanation:

15:21 = A:B (plugging in 3 as a test)

21:35 = B:C

15:21:35 = A:B:C (can't simplify)

Answer:

0.7

Step-by-step explanation:

1.5 - 0.8 = 0.7 :)) hope u get it right!!!

The distance between the school and the park will be 0.7 miles.

Distance is defined as the length between the two points just like in the question it is the length between the school and the park.

Given that:-

The distance will be calculated as:-

Distance   =   1.5   -   0.8   =   0.7 miles  

Therefore the distance between the school and the park will be 0.7 miles

To know more about distance follow

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Answer:

320m

Step-by-step explanation:

that is the procedure above

The image of the 2 mile markers is missing as well as the options and so i have attached them.

Answer:

> 1.5 hours = 105 miles/speed

> Speed = 105 miles/1.5 hours

> 105 miles = 1.5 hours × speed

Step-by-step explanation:

From the image attached, the distance of the first mile marker is given as 50 miles while the distance of the second mile marker is given as 155 miles.

Thus, difference in distance between the two markers; d = 155 - 50 = 105 miles

Also, we see that the time of first marker is 3 pm while the second marker is 4:30 pm.

Thus, difference in time = 4:30 - 3 = 1 hour 30 minutes or 1.5 hours.

We know that;

Speed = distance/time

Thus;

Speed = 105/1.5

Speed = 70 mph

Thus, the 3 equations that represent this situation from the options are;

> 1.5 hours = 105 miles/speed

> Speed = 105 miles/1.5 hours

> 105 miles = 1.5 hours × speed

Answer:

1.5 hours = 105 miles/speed

Speed = 105 miles/1.5 hours

105 miles = 1.5 hours × speed

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the slope of QR. From that we can find the the slope of the line perpendicular to QR.

Q(-2, -5)   & R(8,1)

[tex]Slope \ = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{1-[-5]}{8-[-2]}\\\\=\frac{1+5}{8+2}\\\\=\frac{6}{10}\\\\=\frac{-3}{5}[/tex]

So, the slope of the line perpendicular to QR =  -1/m - 1÷ [tex]\frac{-5}{3} = -1*\frac{-3}{5}=\frac{3}{5}[/tex]

Bisector of QR divides the line QR to two half. We have find the midpoint of QR.

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

               [tex]=(\frac{-2+8}{2},\frac{-5+1}{2})\\\\=(\frac{6}{2},\frac{-4}{2})\\\\=(3,-2)[/tex]

slope = 3/5  and the required line passes through (3 , -2)

y - y1 = m(x-x1)

[tex]y - [-2] = \frac{3}{5}(x - 3)\\\\y + 2 = \frac{3}{5}x-\frac{3}{5}*3\\\\y=\frac{3}{5}x-\frac{9}{5}-2\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{2*5}{1*5}\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{10}{5}\\\\y=\frac{3}{5}x-\frac{19}{5}[/tex]

Answer:

y=9x^2 + 8

Step-by-step explanation:

using the power rule, we will differentiate each term separately

d/dx of 3x^3 = (3)(3)x^(3-1) = 9x^2

d/dx of 8x = 8x^(1-1) = 8

d/dx of -7 = 0

combining them we get the derivative which is y = 9x^2 + 8

Answer:

9x² + 8

Step-by-step explanation:

The given function to us is ,

[tex]\implies y = 3x {}^{3} + 8x - 7[/tex]

And we need to differentiate the given function with respect to x . Taking the given function and differenciating wrt x , we have

[tex]\implies y = 3x^3 + 8x - 7 [/tex]

Recall that , the derivative of constant is 0 . Therefore ,

[tex]\implies \dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3 + 8x - 7) \\\\\implies\dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3)+\dfrac{d}{dx}(8x) + 0 \\\\\implies\dfrac{dy }{dx}= 3\times 3 . x^{3-1} + 8\times 1 . x^{1-1} \\\\\implies\underline{\underline{\dfrac{dy }{dx}= 9x^2+8}} [/tex]

Hence the derivative of given function is 9x² + 8 .

Answer:

{0,-3,-9,5,7}

Step-by-step explanation:

range = all y values

function =(x,y)

so all the second values are ranges

Answer:

Step-by-step explanation:

An angle is cut in half by the bisector.

Since the given angle is 172, its bisector creates 2 equal angles.

2x = 172                 Divide both sides by 2

x = 172/2

x = 86

Answer:  =360h+335

Step-by-step explanation:

Answer:

306h + 281

Step-by-step explanation:

-7 + 18(17h + 19)

-7 + 306h + 288

306h + 281

Answer:

She added the exponents instead of subtracting them.

Step-by-step explanation:

Answer:

Luis’s, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

Given:

7.2b + 6.5 > 4.8b – 8.1.

Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.

Amelia:

7.2b + 6.5 - 7.2b > 4.8b – 8.1 - 7.2b

6.5 > -2.4b - 8.1

Correct

Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.

7.2b + 6.5 - 4.8b > 4.8b – 8.1 - 4.8b

2.4b + 6.5 > -8.1

Incorrect

Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6

7.2b + 6.5 - 6.5 > 4.8b – 8.1 - 6.5

7.2b > 4.8b - 14.6

Correct

Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.

7.2b + 6.5 + 8.1 > 4.8b – 8.1 + 8.1

7.2b + 14.6 > 4.8b

Correct

Answer:

slope= 1/2

y-intercept= 0,7

Answer:

slope = 1/2 or 0.5, the y-intercept is (0,7)

Step-by-step explanation:

Answer:

A) 0.019

B) 0.563

Step-by-step explanation:

a) We will use Poisson distribution formula to solve this;

The formula is given as;

P(X = x) = ((e^-λ) × (λˣ))/x!

Mean is 1. Thus;

λ = 1 aircraft/hour.

Thus, the probability that more than three aircrafts will arrive within an hour is written as; P(X > 3)

Thus;

P(X > 3) = 1 - P(X ≤ 3)

Thus;

1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

Solving through online calculator, we have;

P(X > 3) = 1 - 0.98101

P(X > 3) = 0.01899

To 3 decimal places, we have; P(X > 3)= 0.019

b) Probability of one 1-hour interval not containing more than 3 arrivals is, let's first find;

P(X ≤ 3) = 1 - P(X > 3)

P(X ≤ 3) = 1 - 0.01899

P(X ≤ 3) = 0.98101

Since there are 30 one-hour intervals, then we have;

Probability that none of the thirty 1-hour intervals will contain more than 3 arrivals;

(P ≤ 3) = (0.98101)³⁰

(P ≤ 3) = 0.5626

Approximating to 3 decimal places, we have;

(P ≤ 3) = 0.563

Answer:

The surface area of the pyramid is 16.65 m^2.

Step-by-step explanation:

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|

Step-by-step explanation:

Answer:

The dryer costs $325.

Step-by-step explanation:

Let w represent the cost of the washer and d represent the cost of the dryer.

They cost $587 combined. In other words:

[tex]w+d=587[/tex]

The washer costs $63 less than the dryer. Therefore:

[tex]w=d-63[/tex]

Thus, we have the system of equations:

[tex]\displaystyle \begin{cases} w+d = 587 \\ w=d-63\end{cases}[/tex]

We can solve it using substitution. Substitute the second equation into the first. Hence:

[tex](d-63)+d=587[/tex]

Combine like terms:

[tex]2d-63=587[/tex]

Add 63 to both sides:

[tex]2d=650[/tex]

And divide both sides by two. Hence:

[tex]d=325[/tex]

The dryer costs $325.

Further Notes:

And since the washer is $63 less, the washer costs:

[tex]w=(325)-63=262[/tex]

The washer costs $262.

Answer:

6x^2+2x-9x-3

=6x^2-7x-3

Answer:

20.94021

Step-by-step explanation:

mark me brainlist

Answer:

53.92

Step-by-step explanation:

5 miles =  8 km

1 miles = 1.6 km

33.7 x 1.6 = 53.92

Answer:

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

Step-by-step explanation:

Given the 2 equations

2x + 3y + 5 = 0 → (1)

5x - 3y + 9 = 0 → (2)

Rearrange (1) expressing 3y in terms of x by subtracting 2x + 5 from both sides

3y = - 2x - 5

Substitute 3y = - 2x - 5 into (2)

5x - (- 2x - 5) + 9 = 0 ← distribute parenthesis on left side and simplify

5x + 2x + 5 + 9 = 0

7x + 14 = 0 ( subtract 14 from both sides )

7x = - 14 ( divide both sides by 7 )

x = - 2

Substitute x = - 2 into either of the 2 equations and solve for y

Substituting into (1)

2(- 2) + 3y + 5 = 0

- 4 + 3y + 5 = 0

1 + 3y = 0 ( subtract 1 from both sides )

3y = - 1 ( divide both sides by 3 )

y = - [tex]\frac{1}{3}[/tex]

solution is (- 2, - [tex]\frac{1}{3}[/tex] )

Answer:

1026

Step-by-step explanation:

Common difference = d = 2nd term  - first term

 d = -3 - (-11) = -3 +11 = 8

First term = a = -11

First we need to find the number of terms in this series

[tex]a_{n} = 125\\\\a + (n- 1)d = a_{n}\\\\[/tex]

-11 + (n- 1) * 8 = 125

 (n-1)*8 = 125 + 11

 (n-1) * 8 = 136

n -1 = 136/8

n -1 = 17

  n = 17+1

 n = 18

[tex]S_{n} =\frac{n}{2}(a+a_{n})\\\\S_{18} =\frac{18}{2}(-11+125)\\\\[/tex]

   = 9 * 114

   = 1026

Answer:

√161 yd

Step-by-step explanation:

Hi there!

We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.

We need to find x, which is the other leg in the triangle

If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse

In this case, a=8, b=x, and c=15

So let's substitute those values into the formula

(8)²+x²=(15)²

raise everything to the second power

64+x²=225

subtract 64 from both sides

x²=161

take the square root of both x and 161

x=√161, x=-√161

-√161 cannot work in this case, as distance cannot be negative.

The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further

so the answer is √161 yd

Hope this helps! :)

Answer:

10

Step-by-step explanation:

last year he planted 12.

1/3 of that is 12/3 = 4.

6 more than that is 4 + 6 = 10.

Answer: C.)  10

Step-by-step explanation:

Answer:

The smaller angle will be "156°".

Step-by-step explanation:

According to the question,

Before 12, the minute hand at 48 minutes:

= [tex]60-48[/tex]

= [tex]12[/tex] (minutes to 12)

So,

= [tex]12 \ minutes+14 \ minutes[/tex]

= [tex]26 \ minutes[/tex]

hence,

The smaller angle will be:

= [tex]26\times 6^{\circ} \ each[/tex]

= [tex]156^{\circ}[/tex]

Answer:

The angle is 204 degree.

Step-by-step explanation:

The angle turned by minute hand in 1 minute is 6 degree

The angle turned by the hour hand in 1 hour is

For the hour hand :

The angle turned in 1 hour = 360/12 = 30degree

At 2 : 00 , the angle covered = 30 x 2 = 60 degree

In each minute the hour hand moves  = 30 degrees / hour  x  1 hour/60 min  

                              = 1/2 degree  

So at 2: 48   the hour hand is at    2*30  + 48 * 1/2 = 84 degrees

For the minute hand:

In each minute it turns = 6 degrees  

So, at 48 minutes the minute hand is at   48 x 6 = 288 degrees

So, the angle between them is 288 - 84 = 204 degrees