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Mariulka [41]
3 years ago
6

Dr. Hall that is exploratory scouts travel 32 miles in eight hours the next day they had traveled 49 miles so they increase the

speed by 3 mph how long did it take them to travel the 49 miles
Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

Answer: it took them 7 hours to travel 49 miles.

Step-by-step explanation:

The exploratory scouts travel 32 miles in eight hours.

Speed = distance/time

It means that the speed at which they travelled 32 miles is

32/8 = 4 miles per hour.

The next day they had traveled 49 miles so they increase the speed by 3 mph. It means that the speed at which they travelled 49 miles is

4 + 3 = 7 mph

Time = distance/speed

Therefore, the time it took them to travel the 49 miles is

49/7 = 7 hours

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A box contains 5 blue balls, 2 white balls and 3 black balls. A ball is chosen randomly. Find the probability that the chosen ba
Nimfa-mama [501]

Answer:

7/10 or 70%

Step-by-step explanation:

Add the number of each color of balls together to get the total

5 + 2 + 3 = 10

Add the number of all the balls that aren't black

5 + 2 = 7

Then divide how many balls that aren't black by the total. This gives us the probability the ball you choose is not black

7/10 = 0.7 or 70%

5 0
3 years ago
Work out an equation of the straight line with gradient 3 that passes through the point with coordinates (2, 4).
Gnom [1K]

Answer:

The answer is

\huge \boxed{y = 3x - 10}

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is (2, 4) and the slope is 3

The equation of the line is

y - 4 = 3(x - 2) \\ y + 4 = 3x - 6 \\ y = 3x - 6 - 4

We have the final answer as

y = 3x - 10

Hope this helps you

3 0
3 years ago
Which of the following figures could represent the cross section of a rectangular pyramid? Select all that apply.
Rama09 [41]

Answer:

Options C and E

Step-by-step explanation:

Option A. Circle

We can't get a cross section in the form of a circle.

Option B. Cube

We can't get a cross section in the form of a cube.

Option C. Rectangle

When we slice a rectangular pyramid parallel to the base but not through the vertex, we get a Rectangle.

Option D. Square

We can not get a square by slicing a rectangular pyramid.

Option E. Triangle

By slicing a rectangular pyramid perpendicular to the base and passing through the vertex we can get the cross section in the form of  triangle.

Options C and E will be the answer.

4 0
3 years ago
(2x−6)+4(x−3) help finding the sum pls
aleksandr82 [10.1K]

Answer:

6x-18

Step-by-step explanation:

(2x-6)+4x-12

6x-18

4 0
3 years ago
The number of exports is shown as g(x). Use the data in the table below, representing both functions, to explain to your boss th
siniylev [52]

Step-by-step explanation:

Given the table:

Month              f(x) = Number of imports    g(x) = Number of exports

January (1)                3                                                1

February (2)             4                                                3

March (3)                  5                                                5

April (4)                     6                                                7

From the table, it is clear that:

Number of imports = number of month + 2

so

f(x) = x + 2

also

Number of exports  = 2(number of month) + 1

so

g(x) = 2x - 1

Therefore, number of imports equals the number of month plus one. i.e. f(x) = x + 2, which is a linear function.

If we compare it with slope-intercept form of the line

y=mx+b

Then,

slope = m = 1

y-intercept = 2

Also number of exports equals is also a linear function.

i.e. g(x) = 2x - 1

Here,

slope = m = 2

y-intercept = -1

3 0
3 years ago
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