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Luda [366]
2 years ago
7

Two boats started to move towards each other from two docks, located 30 miles apart. One boat moved at a speed of 3 miles per ho

ur, the other moved twice as fast. How soon will the boats meet?
Mathematics
1 answer:
blagie [28]2 years ago
5 0

Answer:

3.333 hours

Step-by-step explanation:

Given the total distance is 30 miles, and boat 1 travels at 3 mph and boat 2 travels at 6 mph, and the time for both is the same. Distance is speed S times time T so

30 = D(boat 1) + D(boat 2)

30 = (S1 * T) + (S2 * T)

30 = 3T + 6T

30 = 9T

3.333 = T

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8 0
3 years ago
Write 7,004,000 in scientific notation.
MAXImum [283]
<span>7,004,000 in scientific notation.
=</span>7.004 x 10^6
as 7 is the first non zero digit 
so decimal jumbed 6 numbers from right to left and exponent will be positive
option A is correct
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6 0
3 years ago
Please help, Find the perimeter of the figure
kicyunya [14]

Answer:

17 in

Step-by-step explanation:

Rectangle:

(4*2)+(5*2)

8+10 =18

Triangle:

5+4+3 =12

Both:

12+18 = 30

minus where the rectangle and triangle are together

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8 0
2 years ago
Write a linear equation that passes through the two points (-6, -7) and (3, -4).
Phantasy [73]

linear equation that passes through the two points (-6, -7) and (3, -4) is y=\frac{1}{3}x-5

Step-by-step explanation:

We need to write the equation that passes through the two points (-6, -7) and (3, -4).

The equation can be written is point slope form.

The standard form of point slope equation is:

y=mx+b

where m is the slope and b is the y-intercept

Finding slope m:

Slope can be found by using formula:

slope = \frac{y_{2}-y_{1}}{x{2}-x_{1}} \\Where\,\, y_{2}=-4,y_{1}=-7,x{2}=3,x_{1}=-6\\slope =\frac{-4-(-7)}{3-(-6)}\\slope=\frac{-4+7}{3+6}\\slope=\frac{3}{9}\\slope=\frac{1}{3}

So, slope is \frac{1}{3}

Now finding y-intercept b

Putting slope \frac{1}{3} and point(-6,-7)

y=mx+b\\x=-6,y=-7,m=\frac{1}{3} \\-7=\frac{1}{3}(-6)+b\\-7=-2+b\\b=-7+2\\b=-5

So, value of b is -5

Putting values to find the equation:

y=mx+b\\m=\frac{1}{3} and b=-5\\y=\frac{1}{3}x-5

So, linear equation that passes through the two points (-6, -7) and (3, -4) is y=\frac{1}{3}x-5

Keywords: Linear Equation,

Learn more about Linear Equation at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240
  • brainly.com/question/2601054

#learnwithBrainly

5 0
3 years ago
Find the slope of the line on the graph.
mars1129 [50]

Answer:

M= -3

Step-by-step explanation:

The two points on the graph are (0,4) and(1,1), using the slope formula you get a slope of - 3

3 0
3 years ago
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