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Serhud [2]
2 years ago
14

A mountain climber starts a climb at an elevation of 453 feet above sea level. At his first rest stop he has climbed 162 feet, a

nd by his second rest stop he has climbed another 207 feet. It's getting late in the day, so the climber starts his way down. If the climber descends 285 feet, how much does he need to ascend or descend to return to the original starting point? A) ascend 84 feet B) ascend 78 feet C) descend 84 feet D) descend 78 feet
Mathematics
1 answer:
Alenkinab [10]2 years ago
7 0

They started at 453, then climbed 162, so now they are at:

453 + 162 = 615 feet.

They then cllmb another 207 feet to get to:

615 + 207 = 822 feet.

They then descend ( climb down) 285 feet.

822 - 285 = 537 feet.

Now they need to get back tot he original 453,

so they have to descend:

537 - 453 = 84 more feet.

The answer is C.

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2 years ago
Consider the function g(x) =-3(x-2) 2 + 3 what is the vertex
Margarita [4]

Answer:

The vertex is (2, 3)

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4 0
2 years ago
A store is having a sale on walnuts and chocolate chips. For 7 pounds of walnuts and 9 pounds of chocolate chips, the total cost
Jlenok [28]

Answer:

  • Walnuts  cost $1.75, chocolate chips cost $2.75

Step-by-step explanation:

<h3>Let the costs be:</h3>

  • Walnuts - x
  • Chocolate chips - y

<h3>Set equations as per question</h3>

For 7 pounds of walnuts and 9 pounds of chocolate chips, the total cost is $37:

  • 7x + 9y = 37

For 5 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $17:

  • 5x + 3y = 17

<h3>Solve the system by elimination</h3>

Multiply the second equation by 3 and subtract the first equation, solve for x:

  • 3(5x + 3y) - (7x + 9y) = 3(17) - 37
  • 15x + 9y - 7x - 9y = 51 - 37
  • 8x = 14
  • x = 14/8
  • x = 1.75

Find the value of y:

  • 7*1.75 + 9y = 37
  • 12.25 + 9y = 37
  • 9y = 37 - 12.25
  • 9y = 24.75
  • y = 24.75/9
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6 0
1 year ago
A triangle has an area of 36 square feet. If the height of the triangle is 6 more feet than its base, what is its height and bas
andriy [413]
If b is the base then the height h=b+6. As we have S=bh/2 then
36=b(b+6)/2;
b²+6b-72=0;
D/4=3²+72=81
b₁=-3-9=-12
b₂=-3+9=6.
The base is always positive so b=6, h=6+6=12.
Answer: base=6 ft, height=12 ft.

7 0
3 years ago
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