What is the value of x

Answer:

32 Miles

Step-by-step explanation:

Okay so this will take a moment:

Let's set up the following variables:

d = total distance of the trip

v = some rate of velocity/travel

Note: t is not a variable here as it would denote time, but we know the time, so rate of travel as a variable is next best.

With those variables, we can set up 3 equations as follows:

d - 35v = 65

d - 63v = 44

d - 79v = x

The equations being read as:

[total distance] - [time and rate of travel] = [distance remaining]

Now if we restructure each of those equations, you will have:

d = 35v + 65

d = 63v + 44

d = 79v + x

Now you can treat this like a system of equations. First we will solve for the variable: v

Since the total distance remains the same, we can set up the following equation:

subtract 35v from both sides

subtract 44 from both sides

Now if we turn it around:

The common factor of both of these numbers is 7, so divide both by 7:

Therefore:

That was a lot. NOW that you know the value of v, you can find the total distance that Eric needs to travel, so plug it into one of the equations:

d = 35( [tex]\frac{3}{4}[/tex] ) + 65

Solve, and you get:

d = 91.25 miles = [tex]\frac{365}{4}[/tex] miles

Now that you know what the variables: v and d , you can solve for x in the other equation: d = 79v + x

[tex]\frac{365}{4}[/tex] = 79 ( [tex]\frac{3}{4}[/tex] ) + x

Multiply.

[tex]\frac{365}{4}[/tex] = [tex]\frac{237}{4}[/tex] + x

Subtract.

[tex]\frac{365}{4}[/tex] - [tex]\frac{237}{4}[/tex] = x

Simplify.

x = [tex]\frac{128}{4}[/tex] = 32

Voila! 32 Miles to go! Good Luck!

Answer:

The answer is 4

Step-by-step explanation:

3(4)/4 =3

3 is less than 9

-(4/6)= -2/3

-2/3 is greater than -3

Answer:

answer is 10

Step-by-step explanation:

(4x+12)+(4x+12)+(5x+26)=180[sum of isosceles triangles]

8x+34+5x+26=180

X=10

Answer:

Option B

Step-by-step explanation:

For all the answers for a multiple choice test don't require to be arranged in an order.

Therefore, By the definition of combination, it's an example of combination where order doesn't matters.

Option B is the answer.

Answer:

B. Combination. Order doesn't matter

Step-by-step explanation:

Answer:  D

Step-by-step explanation:

7.10

Answer:

(A) h(x) = 1/4x -2

Step-by-step explanation:

Given: f(x)=4x+8

Rewrite with y: y=4x+8

Switch x and y: x=4y+8

Solve for y: x-8=4y

(x-8)/4=y

1/4x-2=y

y=1/4x-2

This means that h(x) = 1/4x -2 is the correct answer

Answer:

1. They have three different branches of government; similar to the US federal government.

2. The legislative branch makes laws, but the President in the executive branch can veto those laws with a Presidential Veto.

Step-by-step explanation:

1. They have three different branches of government.

2. The legislative branch makes laws.

We have given,

you describe the strugure of the Yavapai-Apache Nation's government

1. They have three different branches of government

similar to the US federal government.

The Yavapai–Apache Nation is a federally recognized Native American tribe in Verde Valley, Arizona.

One check or balance mentioned in this section of the constitution

2. The legislative branch makes laws, but

The President in the executive branch can veto those laws with a Presidential Veto.

To learn more about the Yavapai-Apache Nation's visit:

https://brainly.com/question/14951170

Answer:

The solution of the given trigonometric equation

                   [tex]x = \frac{\pi }{6}[/tex]

Step-by-step explanation:

Step(i):-

Given  

                [tex]cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}[/tex]

                  [tex]cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )[/tex]

                      [tex]3x - \frac{\pi }{3} = \frac{\pi }{6}[/tex]

                      [tex]3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}[/tex]

                      [tex]3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}[/tex]

                     [tex]x = \frac{\pi }{6}[/tex]

Step(ii):-

The solution of the given trigonometric equation

                   [tex]x = \frac{\pi }{6}[/tex]

verification :-

      [tex]cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}[/tex]

put  [tex]x = \frac{\pi }{6}[/tex]

    [tex]cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}[/tex]

    [tex]cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}[/tex]

Both are equal

∴The solution of the given trigonometric equation

                   [tex]x = \frac{\pi }{6}[/tex]

Step-by-step explanation:

Step 1: Multiply the numerators from each fraction by each other (the numbers on top). The result is the numerator of the answer.

Step 2: Multiply the denominators of each fraction by each other (the numbers on the bottom). ...

Step 3: Simplify or reduce the answer.

it's really simple if you still need help tell me

Answer:

Step-by-step explanation:

2x3−34x2+131x+11

2x3−34x2+131x+11

=(x−11)(2x2−12x−1)

Answer:

(x−11)(2x2−12x−1)

Answer:

$50 with 35% off is $32.50

Step-by-step explanation:

This is the model to find a discounted price:

n with x% off

100 - x = y

n * 0.y = p

With this example, we would find the discounted price like shown below:

$50 with 35% off

100 - 35 = 65

$50 * 0.65 = $32.50

Hope this helps :)

Answer:

D

Step-by-step explanation:

Answer:

8.71

Step-by-step explanation:

the area that is shaded is a big shape then two smaller shapes taken out of it

that means you can find the area of the big shape ignoring that there are holes then subtract the area of the holes

big shape side length is 5*2

=10

small shape 1:

0.3*0.3

=0.09

small shape 2:

0.6*2

=1.2

10-(0.09+ 1.2)

10-(1.29)

=8.71

Answer:

t-2

Step-by-step explanation:

"less than a number t" read backwards

t-2

Answer:

C

Step-by-step explanation:

Answer:

There are 16 cakes altogether.

Step-by-step explanation:

Answer:

16 cakes.

Step-by-step explanation:

So if we have eight packages and we know that each one has 2 cakes, then we get the following expression:

8 • 2 = ?

Now we multiple. 8 • 2 is 16.

Therefore, your answer is 16 cakes total.

Answer:

x=10  (22.5x+6.50=250)

Step-by-step explanation:

Answer:

Let the required number be 'x'.

Then,

x + 2.2 = 34.5 - 12.3

or, x = 34.5 - 12.3 - 2.2

or, x = 20

So, the required number is 20.

Answer:

I know you go to aops...

Step-by-step explanation:

Answer:

(10,0)

the explanation is in the photo

i hope that i give u the correct answer

Answer:

z + 13

Step-by-step explanation:

All you have to do is ignore the parentheses and do 8 + 5 = 13

Answer:

47420

Step-by-step explanation:

Answer is : 47420 aaaa

Answer:

48

Step-by-step explanation:

3r+6b r=8 b=4

3(8)+6(4)

24+24

= 48

hope it's helpful ❤❤❤

THANK YOU

Answer:

Step-by-step explanation:

4x - (x + 3) +5(2x - 8) = 4x + x*(-1) + 3*(-1) + 2x * 5 + (-8) * 5

                                  = 4x - x - 3 + 10x - 40 {combine like terms}

                                  = 4x - x + 10x - 3 - 40

                                 = 13x - 43

Answer:

13x-43

Step-by-step explanation:

have a spectacular day! <3

Answer:

x=32 degrees

Step-by-step explanation:

We know 180 degrees in triangle

That box means 90 degrees so...

58+90=148

180-148=32

x=32 degrees

Answer:

B. The range of the function is all real numbers

Answer:

Could an airplane take off and clear this tall building?  YES

Step-by-step explanation:

Trigonometry

The building and the ground form a right (90°) angle. The path of the airplane (assumed a straight line) completes the right triangle.

The takeoff angle of the plane θ=15° has the height of the building (450 feet) as the opposite side and the horizontal distance from the end of the runway (2500 feet) as the adjacent side.

The tangent of θ is defined as the following ratio:

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan \theta=\frac{450}{2500}[/tex]

[tex]\displaystyle \tan \theta=0.18[/tex]

Calculating the inverse tangent function:

[tex]\theta=\arctan 0.18[/tex]

[tex]\theta\approx 10^\circ[/tex]

This means the angle needed to clear the tall building is about 10° and it's within the maximum airplane's takeoff angle.

Could an airplane take off and clear this tall building?  YES

Answer:

(x-¾)² = 49/16

Step-by-step explanation:

0 = 2x² - 3x - 5

2x² - 3x = 5

Divide by the leading coefficient

x²-(3/2)x = 5/2

Complete the square

 coefficient of the x term: 3/2

 divide coefficient in half: ¾

 square it: (¾)²

 add (¾)² to both sides to complete the square and keep the equation balanced:

x²-(3/2)x + (¾)² = 5/2 + (¾)²

(x-¾)² = 49/16

If you need to solve for x:

x-¾ = ±√(49/16) = ±7/4

x = 5/2, -1

Answer: (x-5) (x+2) =0

Step-by-step explanation:

Answer:

77 degrees

Step-by-step explanation:

we know all 3 points must equal 180 degrees. take 180 and subtract the known 26. since the last two points are equal divide by 2 and get 77