simba travel agency arranged trips for climbing mount kilimanjaro. for each trip, they charge an initial fee of 100$ in addition to a constant fee for each veriticle meter climbed. for instance, the total fee for climbing to the shira volcanic cone, which is 3000 meters above the base of the mountain is 400$. let y represent the total fee in dollars of a trip where they climbed x vertical meters.

Answer:

suck dic

Step-by-step explanation:

Answer:

x=45

Step-by-step explanation:

We know that 2y+6 and 8y-102 are vertical angles to each other. This means that 2y+6=8y-102. [tex]6y=108[/tex], which means that y=18. [tex]2\cdot(18)+6=36+6=42[/tex]. Since one line is a straight angle, it is 180 degrees we can do [tex]3x=180-45=135[/tex], so x=45.

Answer:

y = 18

x = 46

measures of the angles:

8y - 102 = 42

2y + 6 = 42

3x = 138

Step-by-step explanation:

So first remember the verticle angles theorem, which states that, when two lines intersect there will be four angles formed; the angles that are opposite from each other will be congruent, that is,  they will have the same measure.

Using this we know that opposite angles have to be congruent:

so

(2y + 6) = (8y -102)

now there is an algebra equation that can be solved by inverse operations and simplifying

2y + 6 = 8y - 102

    +102      +102

2y + 108 = 8y

-2y             -2y

108 = 6y

/6        /6

18 = y

Also, remember that two adjacent angles that form a line will add up to 180,

so

3x + (2y + 6) = 180

*note: I could have also used (8y - 102) but I choose to use (2y + 6)

so now substitute in the value of y that was found

y = 18

3x + (2 * 18 + 6) = 180

simplify

3x + ( 36 + 6) = 180

3x + 42 = 180

now use inverse operations

3x + 42 = 180

     -42     -42

3x = 138

/3      /3

x = 46

Answer:

each child gets 5 cards

Step-by-step explanation:

just do 10/2 and you get 5

Answer:

5 cards

Step-by-step explanation:

10 divided by 2 is 5

Answer:

Step 4!!!

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

62+90=152

180-152=28

the sum of the interior angles must equal 180 degrees

Angle x measures 28°

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given,

In the figure, interior angles of triangle measures =

62°, right angle = 90°, x

Sum of interior angles of a triangle = 180°

⇒ 62° + 90° + x = 180°

⇒ 152° + x = 180°

⇒ x = 180° - 152°

⇒ x = 28°

Hence, 28° is the measure of angle x.

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The total area of the composite figure made up of triangle, rectangle and square is; 106 m²

The area of the Triangle is;

A_t = (1/2) * (6 + 4) * 9

A_t = 45 m²

Area of Square;

A_s = 5 * 5

A_s = 25 m²

Area of Rectangle is;

A_r = 6 *  6

A_r = 36 m²

Total Area = 45 m² + 25 m² + 36 m²

Total Area = 106 m²

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Answer:

-10

Step-by-step explanation:

divide both sides by -4

simplify to v+8=-2

subtract 8 from both sides

v=-10

Answer:

Step-by-step explanation:

poin

This looks simple I belive the answer would be 35 because 4^x + 31^x = 35^x

Answer:

43.5

Step-by-step explanation:

Answer:

1.) h • g4 • h = 4g•2h

2.) c • 4 • a •b = ab•4c

3.) (40)/(11•a)= (a•11)/40

4.) (20)/(4•x)= (x•4)/20

Step-by-step explanation:

Think of it as adding and flipping :)

Step-by-step explanation:

If the whole bar is equal to 320 and you are given the numbers and variables, what would the equation be? Well, the line above the bar AND the bar are equal to each other. This means that the ORIGINAL EQUATION WILL BE: 4x + 12x = 320 (this will be your first answer).

Because 12x and 4x are LIKE TERMS, you can simplify them by adding them together like so: 12x + 4x = 16x. Now you can say that 16x is equal to 320 (this is your second answer).

Divide both sides by 16 to get the true value of ONE x. Like so:

16x / 16 = 320 / 16

x = 20 (this is your third answer)

Answer:

b is the anwer of youre question

Answer:

B

Step-by-step explanation:

the plus sign means sum so that leaves you with the first two choices already

c has an exponent of two so that would be called squared, and that leaves you with the second one

Answer: 400/685, which simplifies to 80/137. Decimal is about 0.58.

Step-by-step explanation: To calculate the slope of an incline, all you have to do is put the rise over run. In other words, y/x. In this case, The Duquesne incline rises 400 feet while moving horizontally 685, which gives you both the x and the y.

Answer:

+4sqrt(2)

Step-by-step explanation:

Note that the horizontal distance is 8 - 4, or 4 (which is the "run") and that the vertical distance is -3 - (-7), or 4 (which is the "rise").  Applying the Pythagorean Theorem, we get:

distance = length of hypotenuse = +sqrt(4^2 + 4^2) = +4sqrt(2)

Answer:

more than one digits.

Step-by-step explanation:

There are some simple divisibility rules to check this: A number is divisible by 2 if its last digit is 2, 4, 6, 8 or 0 (the number is then called even) A number is divisible by 3 if its sum of digits is divisible by 3. A number is divisible by 4 if the number consisting of its last two digits is divisible by 4

Answer:

x = -7

Step-by-step explanation:

7x + 28 = -21

7x = -21 -28

7x = -49 /:7

x = -7

Answer:2.8

or

2.83333

Step-by-step explanation:

Given : A table is given to us . The table is ,

[tex]\begin{tabular}{|c|c|}\cline{1-2} \bf Day of week & \bf Minutes Spend \\\cline{1-2} Sunday & 23 \\\cline{1-2} Monday & 38 \\\cline{1-2} Tuesday & 42 \\\cline{1-2} Wednesday & 17 \\\cline{1-2} Thursday & 29 \\\cline{1-2} Friday & 10 \\\cline{1-2} Saturday & 11 \\\cline{1-2} \end{tabular}[/tex]

To Find : The total hours spend by Marisol on reading .

Solution : Total hours spend on reading will be equal to the sum of time taken by him each day on reading .

So , total time of reading will be ;

= (23 + 38 + 42 + 17 + 29 + 10 + 11) min

= 170 min .

= 120min + 50min .

= 2 hours 50mim .

[tex]\boxed{\red{\bf Correct\:option - [d]}}[/tex]

Answer:

70

Step-by-step explanation:

[tex]\frac{2}{7}x +\frac{1}{5}x=34[/tex]

We need to combine like terms but since they are fractions we first need to find a common denominator. The common multiple of 5 and 7 is 35 so we need to multiply 7 by 5 and 5 by 7, but we have to do the same to the numerator too.

[tex]\frac{2*5}{7*5} +\frac{1*7}{5*7}[/tex]

[tex]\frac{10}{35}x+\frac{7}{35} x=34[/tex]

Combine like terms

[tex]\frac{17}{35}x=34[/tex]

Divide 34 by [tex]\frac{17}{35}[/tex]

[tex]\frac{34}{1} *\frac{35}{17} =\frac{1190}{17} =70[/tex]

Answer: Yes they both pass through the point

Answer:

There are 0.186411 miles in 0.3 km.

Answer:

16

Step-by-step explanation:

just divide 20 by 1  1/4

Answer:

Step-by-step explanation:

Answer:

m = -4 3/5   or   -4.6

Step-by-step explanation:

First, we need to isolate the variable, m. We subtract 1 3/5 on both sides of the equation, and then we should get -4 3/5 = m.

hope this helped !! :D

Answer:

67

Step-by-step explanation:

Answer:

3x² - 8x - 3y

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 3, 4)

m = [tex]\frac{4-2}{-3-3}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex] → C

The slope of the line is -1/3 through the points(3, 2) and (-3, 4) which is correct option (C).

Slope of line is defined as the angle of line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

A graph can be defined as a pictorial representation or a diagram that represents data or values.

From the given graph we can pick the points which can tell us about the nature of the line that slope of line is negative.

Given,

Points of line is (3, 2) and (-3, 4)

Let

x₁ = 3, y₁ = 2

x₂ = -3, y₂ = 4

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in formula

m = (4 - 2)/(-3 - 3)

m = 2/(-6)

m = -1/3

Hence, the slope of the line is -1/3

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Answer:

i have no idea

dont spam "please answer" its not cool

Answer:

The first option 3/4(4/3)x=-6(4/3)

Step-by-step explanation:

Divide by 3/4 (so multiply 3/4 by 4/3) to cancel out the 3/4 so that only x is on that side.

Answer:

g times 5 equals 90

Step-by-step explanation:

Answer:

g5 = 90

Step-by-step explanation:

if Greg's height is and 5 is the product of 90 that means you have to multiply g and 5 together to equal 90.

Answer:

4 aerobics classes

Step-by-step explanation:

8 + 3x = 5x

8 = 2x

4 = x