Moutain climber A is at altiude of 250 feet and is descending at a rate of 30 feet per hour. Moutain climber B is at an altitude of 400 feet and is descending at a rate of 50 feet per hour. In how many hours will the altitude of moutain climber B be lower than the altitude of moutain climber A?

Answers

Answer 1

Answer:

the altitude of mountain climber b will be lower than the altitude of mountain climber A with number of hours greater than 7.5hrs.

Step-by-step explanation:

This talks about equalities in math,

We are told about Moutain climber A is at altiude of 250 feet and is descending at a rate of 30 feet per hour, this can be interpreted as

250 - 30h

Moutain climber B is at an altitude of 400 feet and is descending at a rate of 50 feet per hour, this can be interpreted as

400 - 50h

We were now asked how many hours the altitude of mountain climber b be lower than the altitude of mountain climber A, we can interpret this as

(400 - 50h) < (250 - 30h )

We can collect the like terms here

-50h + 30h < 250 - 400

-20h < - 150

The negatives sign can cancelled out, we have

Note that multiplying or dividing by a negative THE INEQUALITY SIGN MUST BE FLIPPED

20h > 150

h > 150/20

h > 7.5

Therefore, the altitude of mountain climber b will be lower than the altitude of mountain climber A with number of hours greater than 7.5hrs.


Related Questions

When asked about favorite Thanksgiving leftovers, 40% of the people said ham, and 410 said turkey. Which food is more popular? How do you know?

Answers

ham by 60 percent :

i just dont

The amount of seed a landscaper uses and the area
of lawn covered have a proportional relationship
Complete the table.

Answers

Answer/Step-by-step explanation:

Since there is a proportional relationship between amount of seed a landscaper uses and the area of lawn covered, therefore: constant of proportionality = area covered / seed.

The constant of proportionality would be same for all pairs of values given in the table.

Thus:

[tex] \frac{75}{3} = \frac{25}{1} = 25 [/tex]

[tex] \frac{100}{4} = \frac{25}{1} = 25 [/tex]

Answer:

25/1, 25

Step-by-step explanation:

A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of X

Answers

Answer:

x = 114°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus

x + 18° = 132° ( subtract 18° from both sides )

x = 114°

The value of angle x in the triangle will be equal to 114°.

What is an exterior angle?

When one side of a triangle is extended, an external angle of the triangle is created. The external angle of the triangle is the non-straight angle (the one that is not simply the extension of the side) that is outside the triangle but close to an interior angle.

Given that a side of the triangle below has been extended to form an exterior angle of 132°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus

x + 18° = 132° ( subtract 18° from both sides )

x = 114°

Therefore, the value of angle x in the triangle will be equal to 114°.

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Please help
Person with the right answer I will mark Brainlyist

Answers

Answer:

The equation in the standard form is

[tex]y+2x=5[/tex]

Step-by-step explanation:

Given the points

(6, -7)(4, -3)

Finding the slope between (6, -7) and (4, -3)

[tex]\left(x_1,\:y_1\right)=\left(6,\:-7\right),\:\left(x_2,\:y_2\right)=\left(4,\:-3\right)[/tex]

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-3-\left(-7\right)}{4-6}[/tex]

[tex]m=-2[/tex]

As the point-slope form is defined as

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -2 and the point (6, -7)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-7\right)=-2\left(x-6\right)[/tex]

Writing the equation in the standard form form

As we know that the equation in the standard form is

[tex]Ax+By=C[/tex]

where x and y are variables and A, B and C are constants

converting the equation in standard form

[tex]y-\left(-7\right)=-2\left(x-6\right)[/tex]

[tex]y+7=-2\left(x-6\right)[/tex]

subtract 7 from both sides

[tex]y+7-7=-2\left(x-6\right)-7[/tex]

[tex]y=-2x+5[/tex]

[tex]y+2x=5[/tex]

Therefore, the equation in the standard form is

[tex]y+2x=5[/tex]

Which list has the numbers in order from least to greatest?
A -3, -8/3, 1/3, 4.7, 4
B-8/3, 1/3, -3, 4.7, 14
3,-8/3, 4 1/3, 4.7
-3, -8/3, 1/3, 74 4.7

Answers

Answer:b I think

Step-by-step explanation:

From least to greatest the answer is
The last option if you typed the 74 by mistake since I don’t see 74 in any other of the options. So the last option is least to greatest

Is the graphed function linear?
O Yes, because each input value corresponds to
exactly one output value.
O Yes, because the outputs increase as the inputs
increase.
O No, because the graph is not continuous.
O No, because the curve indicates that the rate of
change is not constant.

Answers

Answer:

No, because the curve indicates that the rate of

change is not constant.

Im 99.9 sure

Step-by-step explanation:

No, because the curve indicates that the rate of change is not constant.

What is Linear function?

The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

Given:

From the graph we can write the points as

(1, 0), (2, 25), (3, 50), (4, 100), (5, 150), (6, 200), (7, 290)

Since from the above points we can see that there is no constant rate of change followed by the points which the graph Curve.

Also, the linear function usually have the straight line graph.

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I'll give the brainliest!! The first three terms of the sequence is 23, 20, 17
What are the next two terms in this sequence

Answers

I’m guessing 14 and 11

Answer:

26 29

Step-by-step explanation:

x/4 + 5 = 8

PLEASE HELP ME






Answers

Answer:

hiii...hopefully this is correct x=12

What is the slope of the line that goes through points (−3,−4) and (−7,16)? please help

Answers

Answer:

5

Step-by-step explanation:

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

The second y point is 16 and the first is -4, so:

(16) - (-4)

Which can be written as 16 + 4 because a double negative makes a positive. Do the same for the x points, -7 and -3:

(-7) - (-3)

(-7) + (3)

Now solve both of them:

16 + 4 = 20

(-7) + 3 = -4

Remember, the slope formula is y over x, so we still need to put it into the fraction form:

[tex]\frac{20}{-4}[/tex]

You can reduce this to [tex]-\frac{5}{1}[/tex], or 5.

The slope of the line will be "-5".

Given points are:

[tex](x_1,y_1) = (-3,-4)[/tex][tex](x_2,y_2) = (-7,16)[/tex]

As we know the formula,

Slope, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

                  [tex]= \frac{16-(-4)}{-7-(-3)}[/tex]

                  [tex]= \frac{16+4}{-7+3}[/tex]

                  [tex]= -\frac{20}{4}[/tex]  

                  [tex]= -5[/tex]

Thus the above answer is correct.

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bob did math and then we dated a girl named bri have a nice day and I love you too baby girl and you can date of us I love you too baby girl and have to be in bed by lisa have a nice night for the first one is that one of the constitution cob today and I have a lot to talk about the house and the kids will be in the car wit me know what I need to fix the constitution o and I have a nice night out of the house and the house is a trench and I will always be turtle neck of the following week is going back and forth to work until the next time to call you ☺️☺️☺️​

Answers

Answer:

WHAT THE HECK THANKS FOR THE POINTS THAT MAKES NO SENSE WHAT SO EVER :)

Step-by-step explanation:

Answer:

Dang That was a nice paragraph

Step-by-step explanation:

But better grammar choses xd :)

Translate the parallelogram up 4 units and left 3 units.

Answers

Step-by-step explanation:

die parallelogram met 4 eenhede op en links van 3 eenhede.

DEA if the diameter is 7 in ​

Answers

Yesssssss ittttt isssssss
what does the question mean. i will help...

PLEASE HELP
what is the geometric mean of 4/5 and 2​

Answers

Answer:

ok ummm 5

Step-by-step explanation:

What is the slope of 3x-7y=21

Answers

Answer:

3/7

Step-by-step explanation:

Cows and horses cost $250 each and sheep and goats each cost $200 at the county fair. Chickens sell for $50. How much could McDonald make by selling all his animals except the dogs and cats?

Answers

Answer:

the total amount of animals in McDonald's farm is missing, so I looked for a similar question and found the attached image:

McDonald can earn:

15 cows x $250 = $3,750

2 horses x $250 = $500

20 sheep x $200 = $4,000

25 goats x $200 = $5,000

17 chickens x $50 = $850

total = $14,100

If you want to leave an 18% tip for a waiter on a $54.35 meal, what would the total bill be?

$64.13

$9.78

$44.57

$8.15

Answers

Answer:

$64.13

Step-by-step explanation:

the tip would be added to the meal cost

Answer:

54.35+$9.78=64.13

Step-by-step explanation:

54.35*.18=9.78

Hope this helps :)

The total cost, c, in dollars to create calendars for a fundraiser can be found using the function c=5.5u+25 where u is the number of calendars made. If there are at least 10 calendars made, what is a possible domain for this function?


A: 10≤x≤100


B: {-12, -11, 12, 20, 50}


C: {10, 11, 12, 13, 14}


D: 0≤x<50

Answers

Answer:

The correct option is;

{10, 11, 12, 13. or 14}

Step-by-step explanation:

The given function for the total cost, c, to create calendars is c = 5.5u + 25

The domain of a function are the values of the input variables of the function with which the output (the values) of the function are found

Therefore, the domain of the given function are the values of the variable, u, in the function

Where;

u = The number of calendars made

∴ When u ≥ 10, we have;

The possible domain for the function are u = 10, 11, 12, 13. or 14...

Therefore, the correct option is {10, 11, 12, 13. or 14}

1)

x 0 1 2 3 4
f(x) _ _ _ _ _

Answers

Answer:

Calculated and given below:

1) f(x) = -14, 1, 6, 1, -142) f(x) = -4, 5, 8, 5, -43) f(x) = 27, 33, 35, 33, 274) f(x) = -5 , -8, -9, -8, -5 5) f(x) = -7 , -10, -11, -10, -7 6) f(x) = -7 , -34 , -43 , -34 , -7 7) f(x) = 47 , 17 , 7 , 17 , 47 8) f(x) = 29 , 8 , 1 , 8 , 29 9) f(x) = -19 , -1 , 5 , -1 , -19 10) f(x) = 21 , 9 , 5 , 9 , 21

A daredevil decides he wants to jump out of a plane and parachute to the U.S.S. Showboat. He knows he needs to leave the plane at an angle of 58˚ from vertical and he knows he wants to wait until the horizontal distance to the boat is 1000yd. How far away should the plane be from the boat to complete his aerial stunt successfully?

Answers

Answer:

1179 yards

Step-by-step explanation:

The question can be described by a right angled triangle.

The angle of depression of the boat from the plane = [tex]90^{o}[/tex] - 58˚

                                                                    = [tex]32^{o}[/tex]

Let the distance from the plane to the boat be represented by x.

Thus, applying the appropriate trigonometric function, we have;

Cos θ = [tex]\frac{Adjacent}{Hypotenuse}[/tex]

Cos [tex]32^{o}[/tex] = [tex]\frac{1000}{x}[/tex]

x = [tex]\frac{1000}{Cos 32^{o} }[/tex]

  = [tex]\frac{1000}{0.8481}[/tex]

  = 1179.11

x = 1179 yds

The plane should be 1179 yards away from the boat.

Darius took a road trip to their grandmother's house. They drove at a constant speed of 60 miles per hour for 2 hours. They took a break and then finished the rest of their trip driving at a constant speed of 50 miles per hour for 2 hours. What was the total distance, in miles, of Darius' trip?

Answers

Answer: 220 miles

Step-by-step explanation:

Distance travelled is calculated as:

= Speed × Time

Based on the scenario on the question, the total distance, in miles, of Darius' trip will be:

= (60 × 2) + (50 × 2)

= 120 + 100

= 220 miles

distribute -8 - 8(4b + 3)

Answers

I'll give you a pdf so you can see it yourself and the correct answer is -32b - 32b

*PLEASE ANSWER* // *ASAP PLS*

Answers

Answer: I do not know

Step-by-step explanation:

If f(x) = 2x - 2 and g(x) = x + 1, then f(x) = g(x) when

Answers

Answer:

When x = 3

Step-by-step explanation:

I'm sorry not to give explanation but I can't put my thoughts into words its weird but yeah

I’m pretty sure it’s 3. I’m no 100% but yeah

2π+x=180 solve for x!

Answers

Answer:

x=28.65

Step-by-step explanation:

2π+x=180

π+x=90

x=90/π

x is about 28.65

Answer:

Exact Form:

[tex]x=180-2\pi[/tex]

OR

Decimal Form:

[tex]x=173.71681469...[/tex]

Step-by-step explanation:

Step-By-Step on how to solve it is in the attached picture.

Hope this helps! :)

Find the zero of the function.
g(x) = x2 + 22x + 121
The zero of the function is x=

Answers

Answer:

x = -11

Step-by-step explanation:

To find the zero of this function, factor the equation:

g(x) = [tex]x^{2} +22x+121[/tex]

g(x) = (x + 11) (x + 11)

g(x) = [tex](x+11)^{2}[/tex]

The zeros of a function are the values of x that will make g(x) equal 0. So, the zero of this function is -11, because -11 + 11 = 0. So, x = -11.

: Suppose that you plan to take a trip to your dream destination. You
would like to know the shortest distance between your starting point and your
destination. When calculating distances on a plane, you need only consider two
dimensions because you are on a flat surface. However, when finding distances
between two points on Earth, you must take into the account the curvature of a
sphere. In this portfolio, you will extend your knowledge of two-dimensional vectors
to three-dimensional vectors in order to find the shortest distance between two
points on the surface of Earth.

Answers

Answer:

idk

Step-by-step explanation:

i still don't know........

yes.

*tbh idk why i just put yes, and i also dont know what this is asking so...hehe

Jylene and her brother had a total of $35.19 to buy school supplies. Jylene’s school supplies cost $12.78

Answers

Answer:

whats the question

Step-by-step explanation:

Answer:

What is the question???

Step-by-step explanation:

function or not a function​

Answers

Answer:

Its a function

Step-by-step explanation:

need help with these 3

Answers

Answer:

1.) x = 110

[tex]\frac{3}{22} =\frac{15}{x}[/tex]

So for 3 to become 15 it would have to be multiplied by 5 because 3 x 5 = 15. And if I multiply the numerator by anything I always have to do the same to the denominator. So I multiply 22 x 5 = x. x = 110

[tex]\frac{3 * 5}{22*5} =\frac{15}{110}[/tex]

2.) x = 72

[tex]\frac{x}{16} =\frac{9}{2}[/tex]

For 16 to become 2 it has to be divided by 8 because 16 ÷ 8 = 2. And I have to do the same to the numerator of course, so i have to find x ÷ 8 = 9. I know the answer by memory, but for some it's easier to rewrite this as 9 × 8 = x. x=72

[tex]\frac{72}{16} =\frac{9}{2}[/tex]

3.) c = 24

[tex]\frac{3}{5} =\frac{c}{40}[/tex]

For 5 to become 40 it must be multiplied by 8 because 5 × 8 = 40. I have to multiply 8 by the numerator as well and 3 × 8 = 24. c = 24

[tex]\frac{3*8}{5*8} =\frac{24}{40}[/tex]

Answer:

         _

1. x=7.3

2. x= 72

3. c= 24

Step-by-step explanation:

Hope This Helps!!!

When you add 2 positive intergers, the answer is always positive. When you subtract 2 positive intergers, is their difference always a positive interger? Explain.

Answers

Answer:

No. If the second positive integer is larger than the first positive integer in a subtraction problem, the difference will be negative.

Step-by-step explanation:

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