The ten's digit in a two-digit number is 1 greater than the one's digit. If we interchange the digits in the number, we obtain a new number that, when added to the original number, results in the sum 187. Find this number.

Answer:

The speed of the plane in still air is 590Mph

The speed of the wind is 60Mph

Step-by-step explanation:

Let

s= the speed of the plane in still air

w= the speed of the wind

Flying with the wind:

5525=(s+w)*8.5

5525=8.5s + 8.5w (1)

Flying against the wind:

4505=(s-w)*8.5

4505=8.5s - 8.5w (2)

Add (1) and (2) to eliminate w

5525=8.5s + 8.5w

4505=8.5s - 8.5w

10,030=17s

Divide both sides by 17

10,030/17=17s/17

590=s

s=590Mph

Substitute the value of s into (1)

5525=8.5s + 8.5w

5525=8.5(590) + 8.5w

5525=5,015 + 8.5w

5525-5015=8.5w

510=8.5w

Divide both sides by 8.5

60=w

w=60Mph

The speed of the plane in still air is 590Mph

The speed of the wind is 60Mph

Answer:

Step-by-step explanation:

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\\\[/tex]

A(2, -6), B(5, -6),

       [tex]AB =\sqrt{(5-2)^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(5-2)^{2}+(-6+6)^{2}}\\\\=\sqrt{3^{2}+0}\\\\=\sqrt{3^{2}}\\\\=3 units\\[/tex]

B(5,-6) ; C(5,-2)

[tex]BC = \sqrt{(5-5)^{2}+(-2-[-6])^{2}}\\\\ = \sqrt{0+(-2+6)^{2}}\\\\ = \sqrt{4^{2}}\\\\[/tex]

BC = 4 units

C(5, -2) ; D (2,-2)

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

CD = 3 units

A(2,-6) ; D(2,-2)

[tex]AD = \sqrt{(2-2)^{2}+(-2+6)^{2}}\\\\ = \sqrt{0 +(4)^{2}}\\\\ = \sqrt{(4)^{2}}\\[/tex]

= 4 units

Perimeter = AB + BC + CD + AD

                = 3 + 4 + 3 + 4

                 = 14 units

Answer:

[tex]Area \ of \ Sector = 56.5 \ cm^2[/tex]

Step-by-step explanation:

[tex]Area \ of \ Sector = \frac{1}{2} \ r^2 \theta[/tex]

Where r = 9 cm, θ = 80 degrees

=> Firstly 80 degrees in radians

80° = 1.4 radians

=> Now, The solution:

[tex]Area \ of \ Sector = \frac{1}{2} \ r^2 \theta[/tex]

[tex]Area \ of \ Sector = \frac{1}{2} (9)^2(1.4)\\Area \ of \ Sector = \frac{1}{2} (81)(1.4)\\Area \ of \ Sector = \frac{113.1 }{2}\\[/tex]

[tex]Area \ of \ Sector = 56.5 \ cm^2[/tex]

Answer:

[tex]\boxed{18\pi \: \mathrm{cm^2}}[/tex]

Step-by-step explanation:

Apply formula for area of a sector.

[tex]\pi r^2 \times \frac{\theta }{360}[/tex]

[tex]\theta =80\° \\r=9[/tex]

Plug in the values.

[tex]\pi \times 9^2 \times \frac{80}{360}[/tex]

[tex]\pi \times 81 \times \frac{80}{360}[/tex]

[tex]\pi \times 81 \times \frac{2}{9}[/tex]

[tex]\pi \times 18[/tex]

[tex]18\pi[/tex]

The area of the sector is [tex]18\pi \: \mathrm{cm^2}[/tex].

Answer:

18

Step-by-step explanation:

to find the MAD you add all of the numbers first 22+19+30+13+17+21+8+15+12+23= 180

then you divide it by how many numbers there are for instance there are 10 because there are 10 pairs of numbers then you divide it by 180 and you get 18

hope it helped :)

Answer:

independent events

Step-by-step explanation:

they dont depend on other events anyhow

Answer:

Independent events.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Am I correct in thinking that the question is asking how much of the $4.95 the city of San Francisco receives?

In that case....

Step 1.

$4.95 ÷ 8.25% = $0.60

Step 2.

$0.60 x 2.5% = $1.50

ANSWER =

The city of San Francisco receives 2.5% of the total taxes, equal to $1.50

Hope this helps!

Bluey :)

Answer:

8x - 12

Step-by-step explanation:

4(2x - 3)  (use distributive property, see attached)

= (2x)(4) - 3(4)

= 8x - 12

Answer:

B

Step-by-step explanation:

y≥-2x-2

put x=0,y=0

0≥-2

which is true.

so (0,0) lies on it.

graph is a solid line.

so B satisfies it.

Answer:

12 square units.

Step-by-step explanation:

Answer:

The given system of equations has "No solution” means that the constants are the numbers without variables. If the coefficients are the equal on both sides then their constants will not equal,they did not satisfy the given equations and therefore it said to have no solution

The given system of equations has "infinitely many solutions" if the given linear system of equations has both the equations represents to the same line.

Step-by-step explanation:

No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.

Answer:

The second option (see attached image)

Step-by-step explanation:

You are looking for a box diagram that represents 9 units, and from those, clearly marked sections that contain 3/2 = 1.5 units.The idea is to count how many 1.5 units you have in 9 units.

The in the second diagram you see 9 boxes subdivided in half. Then outlined in red other smaller boxes of length 1.5 units. We can clearly see from the diagram that there are exactly 6 of these smaller 1.5 units red boxes to produce the total 9 unit object.

Answer:

The answer is option A.

√48 = 6.93 to the nearest hundredth

Hope this helps you

Answer:

A

Step-by-step explanation:

Answer:

None of the above

Step-by-step explanation:

In my opinion, I believe the answer is none of the above because

answer A says it has a peak from 10 to 15 km but the graph goes higher than 15 km

answer B says it has a gap from 25 to 30 km but the graph doesn't go that high.

Hope did helps:)

Answer:

According to the graph, f(−3)=3 and f(9)=-7

-7-3/9-(-3)= −10/12

Therefore the answer is -5/6

From Khan

The average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.

        [tex]b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]

        where : [m] → is slope of line and [c] → is the y - intercept

We have the following function -

f(x) = x³ - 9

The average rate of change would be -

r = {720 - (- 36)}/{9 - (- 3)}

r = 756/12

r = 63

Therefore, the average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.

To solve more questions on exponents, visit the link below-

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[ Complete question -

what is the average rate of change of f(x) = x³ - 9 over the interval [-3,9] ]

================================================

Explanation:

In math, the term "substitution" basically means "replace". Keep in mind that x is a placeholder for a number. Think of it as a box we place a number inside.

We have the items {6, 16, 24} to use as replacements for x. We only do one number at a time

Let's try x = 6

4 + x < 20

4 + 6 < 20 ... replace x with 6

10 < 20 ... this is a true statement as 10 is less than 20

So x = 6 is a solution

Let's try x = 16

4+x < 20

4+16 < 20

20 < 20 ... this is false because we can't have a number smaller than itself

Lastly, let's try x = 24

4+x < 20

4+24 < 20

28 < 20 ... also false; 28 is not smaller than 20

We've shown that x = 16 and x = 24 are not solutions. Only x = 6 is a solution from the set {6,16,24}. This is why the answer is choice B.

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

Alternative method:

4+x is the same as x+4. We can add two numbers in any order we want.

x+4 < 20 solves to x < 16 after subtracting 4 from both sides. So the set of solutions is anything smaller than 16. Looking at {6,16,24} we see that the only allowed answer is x = 6.

x = 16 is not a solution because x < 16 would turn into 16 < 16, but again we can't have a number smaller than itself.

Answer: 22.5 ; 5 ; 14

Step-by-step explanation:

Given the dataset:

{20,22,23,24,26,26,28,29,30}

The lower quartile (Q1) = 1/4(n + 1)th term

Where n = number of observations, n = 9

Q1 = 1/4 (9 + 1)th term

Q1 = 1/4(10) = 2.5

We average the 2nd and 3rd term:

(22 + 23) / 2

45 / 2 = 22.5

B) The interquartile range(IQR) of the dataset :

{62,63,64,65,67,68,68,68,69,74}

IQR = Q3 - Q1

The lower quartile (Q1) = 1/4(n + 1)th term

Where n = number of observations, n = 10

Q1 = 1/4 (10 + 1)th term

Q1 = 1/4(11) = 2.75 term

We take the average of the 2nd and 3rd term:

(63 + 64) / 2

45 / 2 = 63.5

The upper quartile (Q3) = 3/4(n + 1)th term

Where n = number of observations, n = 10

Q3 = 3/4 (10 + 1)th term

Q3 = 3/4(11) = 8.25 term

We take the average of the 8th and 9th term:

(68 + 69) / 2

137 / 2 = 68.5

IQR = Q3 - Q1

IQR = 68.5 - 63.5

IQR = 5

C) give the dataset :

{7,8,8,9,10,12,13,15,16}

The upper quartile (Q3) = 3/4(n + 1)th term

Where n = number of observations, n = 9

Q3 = 3/4 (9 + 1)th term

Q3 = 3/4(10) = 7.5 term

We take the average of the 7th and 8th term:

(13 + 15) / 2

28 / 2 = 14

Answer:

Step-by-step explanation:

Refer https://brainly.com/question/17122506

Answer:

6. b.

7. b.

8. c.

Step-by-step explanation:

6.  The 3  expands  the graph vertically by factor 3; -3 reflects across the y-axis and - 1 moves the graph 1 down.

7.  The 1/2 expands it horizontally by a factor 2, the -1 moves it 1 right and the + 5 moves it  5 up.

8.  The + 3 translates  the graph 3 units up.

Answer: B

Step-by-step explanation:

In an equilateral triangle, altitudes are also medians.  Thus, the bisect their vertex angles.

Hope it helps <3

Answer:

The answer is option D.

Their angles measures cannot be equal.

Answer:

D

Step-by-step explanation:

Hello,

What the question requires of us is just the property of complimentary angles and which is

The sum of their angles must be equal to 90°.

When two angles combine together to form angle 90°, it is said to be complimentary and they're referred to as a right angled triangle.

From the option, none of the angles can be up to a right angle triangle (90°)

The sum of their angles can be an acute triangle I.e 45°

45° + 45° = 90°

Knowing the fact that the angles can both be an acute angle (45°), it would be wrong to say both angles cannot be equal.

Hence option D is is wrong and it's the right answer in this case

Answer:

5 x 7^0 = 35

or

5 x 7 = 35

Step-by-step explanation:

Plz mark brainliest

Answer:

15°

Step-by-step explanation:

∠GOI=150°

∠HOG=30°

∠HIG=30°/2=15°(Circle angle)

Answer:

To get the vertex of the parabola we proceed as follows;

y=-7(x-4)^2-5

The above can be written as:

y=-7x^2+56x-117

The values of a,b and c are:

a=-7, b=56 and c=-117

x=-b/(2a)

x=-56/(-7*2)=4

but;

y=-7x^2+56x-117

y=-7(4)^2+56(4)-117

y=-5

Thus;

x=4 and y=-5

The vertex will be at point (4,-5)

Hope it helped... Plz mark as BRAINLIEST... And follow me..

Thanks

The coordinates of the vertex of the parabola is given by V ( 4 , -5 )

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of the parabola be represented as f ( x )

Now , f ( x ) = -7 ( x - 4 )² - 5

And , equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

Comparing the given equation to the vertex form, we can see that the vertex is at (4, -5), and the coefficient a = -7.

Hence , the coordinates of the vertex are (h, k) = (4, -5)

To learn more about parabola click :

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Answer:

B) 3/7

C) $42

Step-by-step explanation:

B) 1-2/7=5/7 remaining.

5/7x3/5=15/35=3/7

C) She spent 2/7 on her mother and 3/7 on her father.  That leaves 2/7 for her sister.  $12 is 2/7 of $42 (12 divided by 2/7)

Answer:

1/2

Step-by-step explanation:

There are four spots in total in the circle. Two of them are blue. Therefore, the probability of it lading on blue is 2/4, which simplifies to 1/2. Hope this helped.

Answer:

17

Step-by-step explanation:

f (x) = x+13

Let x = 4

f(4) = 4+13

    = 17

Answer:

[tex]17[/tex]

Step-by-step explanation:

[tex]f(x)=x+13[/tex]

[tex]\mathrm{Plug \: x \: as \: 4 \: and \: evaluate.}[/tex]

[tex]f(4)=4+13[/tex]

[tex]f(4)=17[/tex]

Answer:

no solution

Step-by-step explanation:

It does not work because you need the area as well as the parrallel sides to find the height.

Answer:

you would place the y-intercept at (0,-16).  and then the coordinates would be (-4,0) and (2,0). and the graph would be facing up or positive .

Step-by-step explanation: