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Alex
3 years ago
7

Please answer number 12. Very urgent!! 18 points!

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer:

10 5/12

When the numerator is larger than the denominator, we take  groups of whole fractions  (The numerator and denominator are equal) and add 1 to the whole number for each group. Whatever remains when we no longer have the numerator larger than the denominator is left as a fraction.

Step-by-step explanation:

6 3/4 + 3  2/3

We need to get a common denominator

The common denominator is 12

We need to rename the fractional parts  to out of 12

6 3/4 = 6 3/4*3/3 = 6 9/12

3 2/3 = 3 2/3*4/4 = 3 8/12

6 9/12+ 3 8/12

9 17/12

But the numerator is larger than the denominator

We take 12/12 from the fraction  and add it to the whole number

9 17/12-12/12  +1

9+1 5/12

10 5/12

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Use the substitution and to rewrite the equations in the system in terms of the variables and . Solve the system in terms of u a
Tatiana [17]

Answer:

x = -1 and y = 1/2

Step-by-step explanation:

Let u = 1/x, and v = 1/y

Then the pair of equations

-3/x + 4/y = 11

1/x - 2/y = -5

Can be written as

-3u + 4v = 11 .................................(1)

u - 2v = -5......................................(2)

From (2)

u = 2v - 5 .......................................(3)

Substituting (3) into (1)

-3(2v - 5) + 4v = 11

-6v + 15 + 4v = 11

-6v + 4v = 11 - 15

-2v = -4

v = 4/2 = 2

Substituting this value of v in (3)

u = 2v - 5

u = 2(2) - 5

= 4 - 5

= -1

That is

u = -1, v = 2

Since u = 1/x, and v = 1/y, we have

1/x = -1

=> x = -1

And

1/y = 2

=> y = 1/2

Therefore

x = -1 and y = 1/2

4 0
3 years ago
A ladder leaning against a wall makes a 60° angle with the ground. The base of the ladder is 3 m from the building. How high abo
Marysya12 [62]

Answer:

The distance is 5.20m

Step-by-step explanation:

Here, we want to get the height of the ladder

To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle

The angle here faces the height we want to calculate

This height is known as the opposite

What we have is the adjacent

Now, the trigonometric identity that relates the opposite and the adjacent is the tan

The tangent of an angle is the ratio of the opposite to the adjacent

Mathematically;

tan 60 = h/3

h = 3 tan 60

h = 5.20 m

The ladder is at a height of 5.20 m above the ground

7 0
3 years ago
What is 800 metres in centimetres
KIM [24]
Remember that
 1m=100cm
8m=800cm

800m=80,000cm




3 0
4 years ago
Read 2 more answers
3<br> Solve for x.<br> 9(x + 1) = 25 + x<br> Ο x=2<br> x=3<br> 0 x=4<br> 0 0 0 0<br> Ο<br> 0 x=5
muminat

Answer:

x= 2

Step-by-step explanation:

so expand the left side of the equation

9x+9= 25+x

and then group like terms( subtract 9 from both sides and also do same with x.

9x-x= 25-9

8x= 16

divide by 8 on both sides.

x=2

7 0
2 years ago
PLEASE HELP!!!!!!!!!!!!!!!!!!!!
Semmy [17]
The answer would be 167 I believe
7 0
3 years ago
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