All categories

3 years ago

What is 10 m plus n 2 / 4 when m =5 + n =4

Mathematics

1 answer:

Elodia [21]3 years ago

7 0

Answer:

Step-by-step explanation:

10(5)+4 2/4

10*5+4*4+2

50+18

You might be interested in

- Katrina practices violin 4 times per

Darina [25.2K]

Katrina practices 4 hours a week.

Jeremy practices 2 hours and 15 minutes a week.

Answer Katrina practices more than Jeremy by 1 hour and 48 minutes

5 0

3 years ago

The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side

snow_tiger [21]

Answer:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

Step-by-step explanation:

Represent:

The opposite with a
The adjacent with b
The hypotenuse with c

Given that:

$c = 1 + a$

$c = 4 + 3b$

Required

Solve for a, b and c

$c = c$

So, we have:

$1 + a = 4 + 3b$

Subtract 1 from both sides

$a = 4 -1 + 3b$

$a = 3 + 3b$

Apply Pythagoras Theorem

$c^2 = a^2 + b^2$

Substitute 3 + 3b for a and 4 + 3b for c

$(4 + 3b)^2 = (3 + 3b)^2 + b^2$

Open brackets

$16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2$

$16 + 24b+9b^2 = 9 + 18b+10b^2$

Collect Like Terms

$10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0$

$b^2 - 6b -7 = 0$

Expand

$b^2 +b-7b-7=0$

Factorize:

$b(b+1)-7(b+1) =0$

$(b-7)(b+1) = 0$

Split:

$b - 7 = 0\ or\ b+1=0$

$b = 7\ or\ b=-1$

But the adjacent of a triangle can't have a negative measurement.

So:

$b = 7$

Recall that:

$c = 4 + 3b$

$a = 3 + 3b$

Substitute 7 for b in the above expressions

$c = 4 + 3 * 7$

$c = 4 + 21$

$c = 25$

$a = 3 + 3 * 7$

$a = 3 + 21$

$a = 24$

Hence, the dimensions of the triangle are:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

5 0

3 years ago

Ejejejjejjejjejjjdjdjjjdjjdjjdjjd

skelet666 [1.2K]

Answer:

freeeeeeee pooooooooints

Step-by-step explanation:

thanks I guess?

5 0

3 years ago

Find the quotient 4/15÷1/6

Solnce55 [7]

Answer:

1 3/5

Step-by-step explanation:

4/15÷1/6

Copy dot flip

4/15 * 6/1

24/15

Divide the top and bottom by 3

8/5

Change the improper fraction to a mixed number

5 goes into 8 1 time with 3 left over

1 3/5

4 0

3 years ago

The moats separating people from the animals are 5 m wide for lions and 4 m wide for the elephants. If the lion’s moat is 4 m de

ZanzabumX [31]

Answer:

<em>The elephants' moat should be 3.2 meters deep.</em>

Step-by-step explanation:

Suppose, the depth of the elephants' moat is $x$ meter.

Width of the lions' moat is 5 meter and width of the elephants' moat is 4 meter.

Given that, the lion’s moat is 4 meter deep.

So, <u>according to the ratio of width and depth</u>, the equation will be.......

$\frac{5}{4}=\frac{4}{x}\\ \\ 5x=4*4\\ \\ 5x=16\\ \\ x=\frac{16}{5}=3.2$

Thus, the elephants' moat should be 3.2 meters deep.

3 0

3 years ago