The Goodyear blimp flies 153 miles with a tailwind (with the wind) in the same time it travels 57 miles with a headwind (against the wind). If the speed of the wind is 16 mph, what is the speed of the blimp in still air?

Answer:

32

Step-by-step explanation:

Let, the age of father and mother be x and y respectively. then,

According to question,

x + y = 76.........(i)

x= y + 12...............(ii)

Now,

x + y = 76

or, ( y + 12) + y = 76

or, y + 12 + y = 76

or, 2y = 76 – 12

or, 2y = 64

or, y = 64/2

.

. . y = 32

hope it will help you.

The equation of the line is the vertical line x = 3.

The gradient of the line between two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).

Since the line passes through the points (3,-3) and (3,8),  

So, substituting the values of the variables into the equation, we have

m = (y₂ - y₁)/(x₂ - x₁).

m = (8 - (-3))/(3 - 3).

m = (8 + 3)/0

m = 11/0

m = +∞

The equation of the line passing through the point (x₁, y₁) in point-slope form is given by

y - y₁ = m(x - x₁) where

So, substituting the values of the variables into the equation, we have

y - y₁ = m(x - x₁)

y - (-3) = +∞(x - 3)

y + 3 = +∞(x - 3)

y + 3/+∞ = (x - 3)

0 = x - 3

x = 3

So, the equation of the line is the vertical line x = 3.

Learn more about equation of a line in point-slope form here:

https://brainly.com/question/24907633

The solution to the provided expression using the difference of square formula of algebra is a=1.

The difference of square says, the difference of the square of two terms is equal to the product of their sum and difference. It can be given as,

a^2-b^2=(a+b)(a-b)

The given expression in the problem is,

[tex]15(2a - 2) = 5(a^2 -1)[/tex]

From the property of difference of square, the above equation can be written as,

[tex]15(2a - 2) = 5[(a +1)(a-1)]\\15\times[2(a - 1)] = 5[(a +1)(a-1)][/tex]

Divide both side of the equation with (a-1) as,

[tex]5\times2 = 5(a +1)[/tex]

Divide both side of the equation with number 5 as,

[tex]2 = (a +1)\\a=2-1\\a=1[/tex]

Hence, the solution to the provided expression using the difference of square method of algebra is a=1.

Learn more about the difference of square here;

https://brainly.com/question/1148545

The solutions to 15(2a – 2) = 5(a2 – 1) are:

a = 1, a = –1

a = 5, a = –1

a = 5, a = 1

Answer:

C. a = 5, a = 1

Step-by-step explanation:

Answer:

[tex]\frac{V}{wh}=l[/tex]

Step-by-step explanation:

Equation: [tex]V=lwh[/tex]

1). [tex]\frac{V}{wh}=\frac{lwh}{wh}[/tex]

2). [tex]\frac{V}{wh}=l[/tex]

Answer: The answer would be $28.75

Step-by-step explanation: You would first wanna see how much one bag of dog food costs by dividing 34.50 by 6. Then you can muiltiply how much one bag of dog food costs by 5 to see how much Amelia would spend.

Answer:

Axis of symmetry (-b/2a)= -2.5 or -5/2

Vertex- (2.5, -6.25) or (-5/2, -25/4)

Step-by-step explanation:

Find the AOS= -(-5)/2(1)= 2.5

Find the vertex= (2.5)^2 - 5(2.5)= -6.25

Answer:

No. <BAC and <CAD remain congruent, and m<DAB is still the sum of m<BAC and m<CAD

Step-by-step explanation:

Answer:

No. ∠BAC and ∠CAD remain congruent, and m∠DAB is still the sum of m∠BAC and m∠CAD.

Step-by-step explanation:

Answer:

y = 1/2x + 1/2

Step-by-step explanation:

first list a few points to find the slope

(1,1) (3, 2)

y2 - y1/x2 - x1

2 - 1/3 - 1

1/2

y = 1/2x + b

to find the slope use a point you didnt use yet (since its tricky to find the intercept looking at the graph)

(-1, 0)

0 = 1/2(-1) + b

0 = -1/2 + b

b = 1/ 2

lets check:

point: (-3, -1)

y = 1/2x + 1/2

-1 = 1/2(-3) + 1/2 ?

-1 = -3/2 + 1/2 ?

-1 = -1

Answer:

Slope intercept form;

y = mx + b

If we look at the graph, we can see the line intercepts with y axis at around 0.5, so 0.5 is our y - intercept.

If we look at the slope it rises 1/2

Though we can double check by using two points of the line:-

Δy     y2 - y1

___= ______

Δx      x2 - x1

One point of the line, (1,1)

Second point of the line, (3,2)

Plug it into the formula:

2 - 1          1

____ =  ____, 1/2 is the slope

3 - 1          2

Now we use it in our equation;

y = 1/2x + 0.5

Answer:

5 ≤ 2n - 3.6

Step-by-step explanation:

Five is less than or equal to the difference of twice a number n and 3.6

Five is less than or equal to:  5 ≤

twice a number n:  2n

difference of twice a number n and 3.6:  2n - 3.6

Therefore,

5 ≤ 2n - 3.6

Number is n

Twice a number means multiplication

Difference means subtraction

The expression becomes

5<=2n-3

Given:

The equation is

[tex]\dfrac{7}{2}n=3n+4[/tex]

To find:

The properties which is not used from the given options.

Solution:

We have,

[tex]\dfrac{7}{2}n=3n+4[/tex]

Using Multiplication Property of Equality, multiply both sides by 2.

[tex]2(\dfrac{7}{2}n)=2(3n+4)[/tex]

[tex]7n=6n+8[/tex]                    (Distributive Property)

Using Subtraction Property of Equality, subtract 6n from both sides.

[tex]7n-6n=6n+8-6n[/tex]

[tex]n=8[/tex]

From the given options only one property is not used, i.e., Zero Product Property.

Therefore, the correct option is D.

Answer:

Step-by-step explanation:

The angle of elevation is the angle between the horizontal line and the line connecting you and the sun.

Since the line is vertical the angle between them is right angle.

Correct choice is A.

Answer:

c=9

Step-by-step explanation:

it’s because from the angles, you can see that this is an isosceles triangle, there the two sides have to be the same.

Answer:

18.0833 ft

Step-by-step explanation:

[tex]area=\frac{bh}{2}[/tex] where b is the base and h is the height

[tex]217=\frac{24h}{2}[/tex]

[tex]434=24h[/tex]

[tex]h=18.0833[/tex]

Answer:

the equation for the circumerence of a circle is    pi R squared

Step-by-step explanation:

here the radius is 28

So it would be pi 28squared

so i think it would be 784pi

Based on the given diagram we see that all the exterior angle is in a straight line with the interior angle.

Using the known angle measure, we know that the shape has angles of measure, 123 degrees, 94 degrees,  79 degrees, and '180 - x' degrees

Also, the sum of all the angles in a quadrilateral, any four-sided shape, is 360 degrees.

Now using the knowledge gained lets set up the equation

            [tex]123 + 94 + 79 + 180 - x = 360\\476 - x = 360\\-x = -116\\x = 116[/tex]

Therefore x is 116 degrees.

Hope that helps!

Answer:

0 2/5 By zeros

Step-by-step explanation:

Answer:

130

Step-by-step explanation:

This most likely goes in a pattern

150

130

130

150

140

140

150

130

d (130)

e (150)

Answer:

130 degrees

Step-by-step explanation:

It's a pattern so first is 150 the 130 2x and then 150 again and now 140 2x. Starts over 150 again and 130 2x

Q: What is 9.8x+17=7.6x-16?

A: Your answer should be 2.8867, I tried the best I could.

Answer:

x= -15

Step-by-step explanation:

You subtract 7.6 from 9.8

then you left with 2.2x+17=-16

Subtract 17 from -16 ( -33 )

Then you'll divide 2.2 and -33

x= -15

Answer:

D. [tex]7xy# < 18[/tex]

Step-by-step explanation:

[tex]4(0.5)(5) > 11.5[/tex] [tex]10 > 11.5[/tex] which is not true

[tex]9(5)+0.5 > 45.5[/tex]  [tex]45.5 > 45.5[/tex] which is not true (they are equal)

[tex]5-2(0.5) < 3[/tex] [tex]4 < 3[/tex] which is not true

[tex]7(0.5)(5) < 18[/tex]  [tex]17.5 < 18[/tex] which is true so the answer is D

Answer:5

Step-by-step explanation:

24/4=6

6-1=5

Answer:

w = 5

Step-by-step explanation:

-4 (w+1) = -24

-4w -4 = -24    | +4

-4w = -20        | :(-4)

w = 5

Statements - reasons :-

<1~= <5 - Corresponding Angles Theorem

<1 ~= <7 - Alternate Exterior Angles Theorem

<5 ~=<7 - Vertical Angles Theorem

line I || line m - Transitive Property

Answer: y=-0.4x+2

Step-by-step explanation:

Answer:

5x-2y=-33

First.) -5x+10x= 5x

Second.) -5y+3y= -2y

Third.) -30+-3= -33

Answer:

1

Step-by-step explanation:

4/9 and -5/9 are 1 apart. This is because one of the numbers is positive and the other is negative, you have to make the negative number positive and add the two positive numbers together. In this case, 4/9+5/9=9/9. 9/9 is equivalent to 1. So, 4/9 and -5/9 are 1 apart.

Hope the explanation and answer helps!

Answer: -5/9 is negative, 4/9 is positive. The Difference when you subtract =1

Step-by-step explanation:

4/9 - -5/9 = 4/9 +5/9 = 1

(Subtracting negative = adding positive)

Answer:

a + 55 =180

a=180-55=125

b = 55 alternate angles

c=a=125 alternate angles

e =125. alternate angles

f=b=55

h=f=55 alternate angles

Step-by-step explanation:

(a) < a = 180-55= 125

(b) < b = 180- 125= 55

(c) < c = 189- 55 = 135

(d) < e = 125

(e) < f = 180-125= 55

(f) < h = 55

~

< a and < c are vertical angles.

< a and < b are adjacent angles.

< b and <h are Alternate interior angles.

< f and 55° are Alternate Exterior angles.

< a and < e are corresponding angles.

~

Answer:

  (a)  y = 1.5·1.3^x

Step-by-step explanation:

Growth is modeled by an exponential function when the base is greater than 1.

There is only one answer choice that models growth. The others all have a base (0.5 or 0.59) that is less than 1, so model decay.

  y = 1.5·1.3^x

Answer:

10x-9-(9x-10)

=10x-9-9x+10

=10x-9x+10-9

=x+1

Answer:x+1

Step-by-step explanation:

*see attachment for the diagrambifbthe mapping

Answer:

{x | x = –5, –3, 1, 2, 6}

Step-by-step explanation:

The domain of a function includes all input values entered in the oval for input, while the range includes all the values in the output oval.

From the mapping given in the attachment, we have the following possible values of the function in the input oval as: -5, -3, 1, 2, 6.

These x-values make up the domain of the function, and represented as: {x | x = –5, –3, 1, 2, 6}

Answer: 2 x 2 x 2 x 3 x 5

Step-by-step explanation:

Hope this helps. Those are all primes that equal 120.

Answer:

8 platters

Step-by-step explanation: