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4 years ago

4/7m=18-2/7m does anyone know the answer to this with work shown?

Mathematics

1 answer:

Gala2k [10]4 years ago

6 0

Answer: 21

Step-by-step explanation:

=18−

2 Simplify

m to

−

=18−

3 Multiply both sides by

−

4m=126−2m

4 Add

2m to both sides.

4m+2m=126

5 Simplify

4m+2m to

6m.

6m=126

6 Divide both sides by

126

7 Simplify

126

21.

m=21

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2 marksare three fair siz-sided dice. Each die has two faces, two yellow faces and two red faces. All three dice are rolled. Fin

geniusboy [140]

Answer:

14.81%

Step-by-step explanation:

A fair six-sided dice has a total of six sides meaning that there are 6 possible outcomes for each dice roll. If two of the faces on the dice are red, then the possibility of rolling a red on a single dice roll would be 2/6, while the probability of rolling anything else would be 4/6 because there are 4 other sides left. Now if we roll three seperate dice, in order to calculate the probability of getting only one red face we need to multiply the probability of getting a red face on the first dice by the probability of the other two dice getting anything else.

2/6 * 4/6 * 4/6 = 32/216 or 0.1481

We can multiply this decimal by 100 to get the percentage value...

0.1481 * 100 = 14.81%

8 0

3 years ago

the speed of a stream is 4mph. If a boat travels 92 miles downstream in the same time that it takes to travel 46 miles upstream,

Elanso [62]

Answer:

12 miles per hour

Step-by-step explanation:

Let speed of boat in still water be "x"

and speed of current be "c"

So, downstream rate would be "x + c"

And, upstream rate would be "x - c"

Now, given c = 4

We can use the distance formula, D = RT, where

D is distance, R is rate, and T is time

to solve this.

Downstream:

D = RT

92 = (x+4)(t)

Upstream:

D = RT

46 = (x-4)(t)

Both the times are same, we can equate both the times. Lets simplify first:

t = 92/(x+4)

and

t = 46/(x-4)

Equate:

$\frac{92}{x+4}=\frac{46}{x-4}$

Now, cross multiply and solve for x to get our answer:

$\frac{92}{x+4}=\frac{46}{x-4}\\92(x-4)=46(x+4)\\92x-368=46x+184\\46x=552\\x=12$

Speed of Boat (in still water) = 12 mph

6 0

3 years ago

Need help ASAP I tried to do the problem but I don't know how

inysia [295]

Answer:

see below

Step-by-step explanation:

(a) the graph is symmetrical about the horizontal axis. It has a maximum value of r = 3 at θ = π.

(b) The graph is symmetrical about both the horizontal and the vertical axis. It has a maximum value of r = 1 at θ = 0 and θ = π. (Note this curve has subtle differences from the inner loop of the above curve.)

_____

<em>About how</em>

As with any graphing problem, when doing it by hand, one chooses enough points to give the general shape of the curve. In some cases, quite a few points may be required. It is often helpful to use a spreadsheet for calculating the point values. Here, we've graphed the equations using "technology"--a graphing calculator.