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trasher [3.6K]
3 years ago
14

A worker in a silver mine descends 60 feet. Use an integer to represent the change in the worker's position.​

Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer:

-60

Step-by-step explanation:

If the worker is descending, he is going down. The change in his position could be marked on a graph by translating the original point down by 60 units. Aka -60 units.

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The girls tennis team was interested in raising funds for an upcoming trip. The team sold tumblers for $10 and sun hats for $5
gtnhenbr [62]

The equations that can be used are 10T + 5S = 190 and T + S = 30.

<h3><u>Equations</u></h3>

Given that the girls tennis team was interested in raising funds for an upcoming trip, and the team sold tumblers for $10 and sun hats for $5, and when the sales were over, the team had earned $190 and sold 30 total products, which included a mix of tumblers and hats, to determine which equations can be used to represent the situation, the following calculations must be made:

  • T + S =190
  • -It cannot be used because it has any relationship with the price of the products.

  • 10T + 5S = 30
  • -It cannot be used because it only considers the quantity variable.

  • T + S = 30
  • -It can be used as it shows the amount of products sold.

  • 10T + 5S = 190
  • -It can be used because it relates the total price to the quantity of each product.

  • T + S = 15
  • -It cannot be used because it only considers the price variable.
  • 5T + 10S = 190
  • -It cannot be used because it erroneously relates the price of each product.

Therefore, the equations that can be used are 10T + 5S = 190 and T + S = 30.

Learn more about equations at brainly.com/question/26511270.

5 0
2 years ago
Read 2 more answers
A boat has a speed of 15 mph in still water. It travels downstream from Greentown to Glenavon in g hours. It then goes back upst
Lerok [7]

Step-by-step explanation:

We want to find two things-- the speed of the boat in still water and the speed of the current.  Each of these things will be represented by a different variable:

B = speed of the boat in still water  

C = speed of the current

Since we have two variables, we will need to find a system of two equations to solve.

How do we find the two equations we need?  

Rate problems are based on the relationship Distance = (Rate)(Time).


Fill in the chart with your data (chart attached)

The resulting speed of the boat (traveling upstream) is B-C miles per hour.  On the other hand, if the boat is traveling downstream, the current will be pushing the boat faster, and the boat's speed will increase by C miles per hour.  The resulting speed of the boat (traveling downstream) is B+C miles per hour.  Put this info in the second column in the chart.  Now plug it into a formula! <u>Distance=(Rate)(Time) </u>Now solve using the systems of equations!

6 0
3 years ago
determine the volume of a rectangular container van with length,width, and height of 52m,13 m and 20m respectively.
icang [17]

\huge \boxed{ \green{ANSWER}}

\underline{v = 13 \: 520 \:  {m}^{3}  }

\huge \boxed{ \red{SOLUTION}}

v = lwh \\  = (52m) \: (13m) \: (20m) \\  \implies \underline{v = \: 13 \: 520 \:  {m}^{3}  }

<h3>#CarryOnLearning</h3>

\mathfrak{WatanabeHaruto}

6 0
2 years ago
2x^6/20x^7 <br> pls help me i have a test today and i don’t know how to solve it
Vedmedyk [2.9K]

Answer:

\frac{1}{10x}

Step-by-step explanation:

\frac{2x^{6} }{20x^{7} } = \frac{x^{6} }{10x^{7} } \\\\=\frac{1}{10x}

3 0
3 years ago
If sin θ = 1/2 , then find the value of (sin 3 θ)/(1+ cos 2 θ)<br>​
Ipatiy [6.2K]

<u>EXPLANATION</u><u>:</u>

Given that

sin θ = 1/2

We know that

sin 3θ = 3 sin θ - 4 sin³ θ

⇛sin 3θ = 3(1/2)-4(1/2)³

⇛sin 3θ = (3/2)-4(1/8)

⇛sin 3θ = (3/2)-(4/8)

⇛sin 3θ = (3/2)-(1/2)

⇛sin 3θ = (3-1)/2

⇛sin 3θ = 2/2

⇛sin 3θ = 1

and

cos 2θ = cos² θ - sin² θ

⇛cos 2θ = 1 - sin² θ - sin² θ

⇛cos 2θ = 1 - 2 sin² θ

Now,

cos 2θ = 1-2(1/2)²

⇛cos 2θ = 1-2(1/4)

⇛cos 2θ = 1-(2/4)

⇛cos 2θ = 1-(1/2)

⇛cos 2θ = (2-1)/2

⇛cos 2θ = 1/2

Now,

The value of sin 3θ /(1+cos 2θ

⇛1/{1+(1/2)}

⇛1/{(2+1)/2}

⇛1/(3/2)

⇛1×(2/3)

⇛(1×2)/3

⇛2/3

<u>Answer</u> : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.

<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> If sin Θ = 2/3 and tan Θ < 0, what is the value of cos Θ?

brainly.com/question/12618768?referrer

if cos θ -sin θ =1, find θ cos θ +sin θ?

brainly.com/question/88125?referrer

7 0
2 years ago
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