1. Graham is hiking at an altitude of 14,040 feet
and is descending 50 feet each minute. Max is
hiking at an altitude of 12,500 feet and is
ascending 20 feet each minute. How many
minutes will it take Graham and Max to meet at
the same altitude ?
a. Equation:
1
2
. Solution:
2. At what altitude will Graham and Max meet?
3
Answers
Answer: Equation 1 to find the time: A₁ - r₁t = A₂ + r₂t Solve for t
14040 - 50t = 12500 + 20t t is the number of minutes
Equation 2 to find the altitude: A₁ - r₁t = A₂ + r₂t A₁ and r₁ are Grahams initial altitude and rate. Use given rates, calculated time and solve for A.
A₂ and r₂ are Max's initial altitude and rate.
They will meet in 22 minutes
They will meet at 12940 ft altitude
Step-by-step explanation: Their original heights plus/minus the altitude change per minute (rate) and the time will be equal when they meet.
14040 - 50t = 12500 + 20t subtract 12500 from both sides; add 50t to both sides.
14040-12500 = 20t + 50t
1540 = 70x
22 = t They will meet in 22 minutes.
To get the altitude where they meet, Multiply the time by the rate for each climber. Add or subtract per equation: A₁ - r₁t = A₂ + r₂t
14040 - 22(50) = 12500 + 22(20)
Graham: 22 min × 50ft/min = 1100 ft
Subtract from his starting altitude:
14040 - 1100 = 12940 ft
Max: 22 min ×20 ft/min = 440 ft
Add to his starting altitude
12500 + 440 = 12940 ft
Answer:
Answer:
M=22, hope this helps
Step-by-step explanation:
Set up Graham's altitude function A(m):
A(m) = 14040 - 50m <-- we subtract for descending
Set up Max's altitude function A(m):
A(m) = 12500 + 20m <-- we add for ascending
Set the altitudes equal to each other to solve for m:
14040 - 50m = 12500 + 20m
We type this equation into our search engine to solve for m and we get:
m = 22
Related Questions
which of the following is a non terminating decimal ( )
a)¾ b) ⅘ c)⅓ d) none
Answers
C is a non terminating decimal.
a = 0.75
b = 0.8
c = 0.333333 (and will never terminate)
45% of _____________is 165
Answers
Answer:
366.666666Step-by-step explanation:
Let the number be x
45% of x = 165x*45/100 = 165x = 165*100/45x = 366.666666Joshua and Brandon buying a pizza for their math class. They will spend $77. Joshua will pay six times more then Brandon. How much will Joshua pay?
Answers
Answer:
$66
Step-by-step explanation:
For this problem, we will simply write two equations to solve how much each person will pay.
Let x represent the amount of dollars joshua pays and y represent the amount of dollars brandon pays. Then we can say the following:
x + y = 77
x = 6y
Using these two equations, we can solve for how much Joshua will pay.
x + y = 77
6y + y = 77
7y = 77
y = 11
x + y = 77
x + 11 = 77
x = 77 - 11
x = 66
Hence, Joshua pays $66 and Brandon pays $11.
Cheers.
Marshall gave the cashier $100 to pay for 4 new video games. The cashier gave him $4.08 in change. Each video game cost the same amount. What is the cost in dollars and cents for each video game? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answers
Answer:
Cost in dollars and cents for each video game = $23.98
Step-by-step explanation:
Total amount Marshall paid for four video games = $100
Total change given to Marshall = $4.08
Actual cost of the video games = Total amount Marshall paid for four video games - Total change given to Marshall
= $100 - $4.08
= $95.92
Total number of videos games bought = 4
What is the cost in dollars and cents for each video game
Cost of each video game = Actual cost of the video games / Total number of videos games bought
= $95.92 / 4
= $23.98
Cost in dollars and cents for each video game = $23.98
23 dollars .98 cent
Write the expression (2−3i)+5i(1−3i)
as a complex number in standard form.
Answers
Answer:
17 + 2i
Step-by-step explanation:
Given
(2 - 3i) + 5i(1 - 3i) ← distribute both parenthesis
= 2 - 3i + 5i - 15i² [ i² = - 1 ]
= 2 + 2i + 15
= 17 + 2i ← in standard form
The standard form of a complex number (2 − 3i) + 5i(1 − 3i) is 17 + 2i.
What is a complex number?
A complex number is a component of a number system that includes the imaginary unit, represented by the letter i as an extension of the real numbers.
Given:
(2−3i) + 5i(1−3i)
Use the distributive property and expand the expression,
(2 − 3i + 5i - 15i²)
2 + 2i - 15(-1) [i² = - 1]
2i + 17
Therefore, the standard form of a complex number (2 − 3i) + 5i(1 − 3i) is 17 + 2i.
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this is a little tricky I need help
Answers
Answer:
1.5
Step-by-step explanation:
1.4 –
( ___ ) = 2
i need an answer but it wont let me paste the picture :(
Answers
Answer:
answer is -0.6
Step-by-step explanation:
Answer:
0.6
Step-by-step explanation:
1.4 - -0.6 = 2
The area of the parallelogram below is _____ square meters.
Numerical answers expected!
Answers
Answer:
48
Step-by-step explanation:
Answer:
Yes, the correct answer is 48, the person above me is right :)
Step-by-step explanation:
6 x 8 = 48
what 25 time 358 divided by 1.6
Answers
Answer:
5593.75
Step-by-step explanation:
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Answers
Answer:
no solutions
Step-by-step explanation:
What is value of 1/3 ÷ 1/12 *
4
1/4
1/36
1/6
Answers
Answer:
its the first one 4
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Answers
Answer:
x = 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
g(x) = 2(x - 4)
g(x) = 20
Step 2: Solve for x
Substitute: 20 = 2(x - 4)Divide 2 on both sides: 10 = x - 4Add 4 to both sides: 14 = xRewrite: x = 14What are the slope and y-intercept for the graph of y = -10x + 2?
Answers
Answer: slope is -10, y intercept is + 2
Step-by-step explanation:
slope is -10, y intercept is + 2
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Answers
Answer:
X+14=y
Step-by-step explanation:
FINDING ANGLE MEASURES
Find x.
Answers
Pythagorean Theorem
As part of Fort Yargo State Park's Geocaching
spectacular, Kylee, Constance, Zoe go on a GPS
treasure hunt. They start at the welcome center and
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ANSWER ASAP
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Answers
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The reason we shift up 6 is because we're adding 6 to the y coordinate.
Think of y = f(x), so f(x)+6 is the same as y+6.
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Answers
Answer:
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Answer:
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Step-by-step explanation:
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Answers
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See the attached image for the actual graph.
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Answers
Answer:
3+6n=
Step-by-step explanation:
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Answers
Answer:
4:5
Step-by-step explanation:
Solve the following word problems using a system of equations. The sum of two numbers is 36. One number is two more than the other. Find the numbers.
Answers
Answer:
24,12
Step-by-step explanation:
suppose,
x+y=36
x=2y
2y+y=36
y=12
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p l e a s e
a n s w e r
q u i c k\
Answers
Answer:
(-7)2 = -14
Step-by-step explanation:
The parenthesis basically mean "multiply". So, this is a simple equation meaning -7 x 2. And remember, anytime we multiply a positive by a negative, you get a negative. So, simply multiply 7 x 2 = 14 and add a negative sign to make the solution true. So, -7 x 2 or (-7)2 = -14
Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Also thank you for the generous points!! Stay safe and please mark brainliest!!
Answer:
-14
Step-by-step explanation:
just act as if -7 were positive then you know 7x2 = 14 cause' "()" means multiplication.
last, since 7 was negative in the first place then you turn your product back to a negative and you get -14
mark brainliest :)
8% as a fraction in its simplest form
Answers
Answer:
8/100 Simplified is 2/25 in it's simplest form!
Step-by-step explanation:
Hope this helps! :)
Have a great day!
The number 8 % as a fraction in the simplest from is 2/25
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as A
Now , the value of A is = 8 %
So , the equation will be
The value of A = 8 %
Now , the value 8 percentage can be written as a fraction of 100
So , the value of A will be
The value of A = 8/100
Now , on dividing the numerator and denominator by 4 , we get
The value of A = 2 / 25
So , the value of A in the simplest form of the number A is 2/25
Hence , The number 8 % as a fraction in the simplest from is 2/25
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This month, a marching band has 60 musicians. If the number of musicians in the band last month was 51 members, what percent of increase was this? (Round to the nearest percent)
Answers
Answer: Happy holidays!
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Answers
Answer:
The area of what?? Is there a picture or something to go with this...
Step-by-step explanation:
Also the area of a rectangle, square, or parallelogram is Base x Height
The area of a triangle is (base x height) ÷ 2
The area of a circle is πr²
The area of a hexagon is ([tex]\frac{3\sqrt{3} }{2}[/tex]) x length of 1 side
The area of a trapezoid is [(base 1 + base 2) ÷ 2] x height
If there is a shape inside of another shape, find the area of the smaller shape and subtract it from the area of the larger shape.
That's all I can do to help because I don't know what you want me to find the area of :/
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Answers
The answer is proportional
The height h of a square pyramid can be determined from the equation h = l2−(s2)2−−−−−−−−√ , where l is the slant height of the pyramid and s is the side length of the square base. What is the slant height l of the square pyramid shown?
Answers
Answer:
I believe the answer is 34 cm (I may be wrong but I'm 98% that my answer is correct)
Step-by-step explanation:
(excuse my handwriting on the ss its hard to write on a computer lol)
hope this helps :)
Dominic invested $19,000 in an account paying an
interest rate of 6.1% compounded monthly. Assuming
no deposits or withdrawals are made, how much
money, to the nearest dollar, would be in the account
after 16 years?
Answers
Answer:
A≈50298
Step-by-step explanation: