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kolbaska11 [484]
3 years ago
8

The boat travels x miles per hour from one island to another island in 2.5 hours. The boat travels 5 miles per hour faster on th

e return trip of 2 hours. What is the distance between the island?
Mathematics
1 answer:
notka56 [123]3 years ago
6 0
The speed to the island is x. The speed to return is x+5.

The distance is the same so, 2.5 multiplied by x = 2×(x+5).

It took 2.5 hrs to get there and 2 hrs to return. Now all we have to do is solve.

 2.5*x = 2x + 10

 .5x = 10
x=20

 Therefore, the distance between islands is 2.5 × 20 = 50 miles.

hope this helps!

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Answer:

I believe C is the line of best fit because everything is spread out more evenly instead of some being spread out farther than others.

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(Hurry fast I don’t have a lot of time pls) Tatiana wrote the steps that are commonly used to solve a system of equations with t
igor_vitrenko [27]

Answer:

1. Multiply the value of the first variable by one of the original equations to solve for the second variable.

2. Solve for one of the variables.

3. Substitute the value of the known variable into one of the original equations to solve for the unknown variable.

Step-by-step explanation:

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3 years ago
Abdul is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular
Valentin [98]

The amount of fabric needed to cover 8 blocks is 192cm.

<h3>How much fabric is needed to cover 8 blocks?</h3>

In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.

Total surface area of a rectangular prism = 2 (lw + wh + lh)

where:

  • l = length
  • w = width
  • h = height

2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm

Fabric needed fo 8 blocks = 24 x 8 = 192cm

To learn more about rectangular prisms, please check: brainly.com/question/8890358

3 0
2 years ago
Read 2 more answers
If a spring is oscillating (moving) according to the velocity equation v(t) = 2sin(t) (in ft/s), then what is its displacement o
Feliz [49]

ANSWER

4 ft

EXPLANATION

The velocity equation of the oscillating spring is given by the function.

v(t)=2  \sin(t)   \:  \:  {ms}^{ - 1}

To find the displacement function, we need to to Integrate the velocity function.

s(t) = \int \: 2 \sin(t) dt

s(t) =  -  2 \cos(t)  + k

At time t=0, there was no displacement.

This implies that,

s(0) = 0

0=  -  2 \cos(0)  + k

0=  -  2 + k

k = 2

The displacement function then becomes,

s(t) =  -  2 \cos(t)  + 2

To find the displacement over the first π seconds, we put

t = \pi

into the equation for the displacement to get,

s(\pi) =  -  2 \cos(\pi)  + 2

s(\pi) =  -  2 ( - 1)  + 2

s(\pi) =  2  + 2 =4 ft

7 0
3 years ago
Use the quadratic formula to solve x2 + 2x - 120 = 0. Think about what other method could also be used to solve this equation. a
pshichka [43]

Answer:

x = 10 , -12

Step-by-step explanation:

Solution:-

- The given quadratic equation is to be solved using the quadratic formula. The general form of a quadratic equation is:

                           ax^2 + bx + c =0  

Where, [ a , b and c are constants ]

- The quadratic formula is given as:

                       

                           x = \frac{-b+/-\sqrt{b^2 - 4*a*c} }{2a}

- The given equation is:

                             x^2 + 2x - 120 = 0

Where, a = 1 , b = 2 , c = -120

- Solve using quadratic formula:

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7 0
3 years ago
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