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dimulka [17.4K]
2 years ago
13

A fish is swimming 10.2 feet below the surface of the water. It then descends another 12.85 feet. What subtraction expression ca

n be used to find the new position of the fish?
Mathematics
2 answers:
just olya [345]2 years ago
8 0
-10.2 - 12.85 which would be -23.05

the 10.2 is negative because it is below zero
mestny [16]2 years ago
6 0

Answer:

The subtraction expression can be used to find the new position of the fish=-10.2-12.85.

Step-by-step explanation:

Given

A fish swimming 10.2 feet below the surface of the water

fish swimming the distance in water=-10.2 feet

10.2 feet take negative because the fish swimming below the surface of the water.

Then , It descends the  another distance in water=-12.85 feet

12.85 feet take also with negtaive sign because the fish moving in  downward direction.

Now, the  expression can be used to find the new position of the fish

= -10.2 + (-12.85)

The subtraction expression can be used to find the new position of the fish

=-10.2-12.85

By using the rule when positive number is multiplied by negative number  then the answer is negative.

The new position of fish=-23.05 feet.

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Answer:

(6,2)

Step-by-step explanation:

Variable Definitions:

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y= the number of movies

Each commercial earns Emily $50, so x commercials would earn her 50x dollars in royalties. Each movie earns Emily $150, so y movies would earn her 150y dollars in royalties. Therefore, the total royalties 50x+150y equals $600:

50x+150y=600

Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.

x=3y

Write System of Equations:

​50x+150y=600

x=3y

Solve for y in each equation:

1)  50x+150y=600

   150y=−50x+600

   y=-1/3x+4

2)  x=3y

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The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:

Emily's songs were played on 6 commercials and 2 movies.

​

 

4 0
1 year ago
Group of baseball fans can see home plate from a 40 meter tall building outside the stadium. The angle of vision has a tangent o
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Answer:

17.78 meters

Step-by-step explanation:

Let

x ----> the horizontal distance, in meters, to home plate

\theta ----> the angle of vision

we know that

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we have

tan(\theta)=\frac{9}{4}

substitute

\frac{9}{4}=\frac{40}{x}

solve for x

x=40(4)/9\\x=17.78\ m

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