Let 2x – y = 3 ——— equation 1

Let x + 5y = 14 ——— equation 2

Making x the subject in eqn 1, = x = y + 3 / 2 ——— eqn 3

• Put eqn 3 in eqn 2

(y + 3 / 2) + 5y = 14

6y = 14 – 3/2

6y = 25/2

y = 25/12

• put y = 25/12 in eqn 3

x = (25/12 + 3/2)

x = 43/12

4 0

3 years ago

Complete the derivation of the formula for a cylinder

viva [34]

Answer:

2r(2r)

Pi/4

Pi times r cubed

Step-by-step explanation:

Believe it or leave it

4 0

3 years ago

Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%

weeeeeb [17]

Answer: a. The system that models this situation is,

x + y = 6 , 8 x + 5 y = 36.

b. Solution is x = 2lb and y = 4lb

where x is the quantity of 80% of peanuts mixture mix with y quantity of 50% of peanuts mixture for making 60% of peanuts mixture.

Step-by-step explanation:

Let x quantity of 80% of peanuts mixture mix with y quantity of 50% of peanuts mixture for making 60% of peanuts mixture.

Then According to the question,

x + y = 6 --------- (1)

And, 80 % of x + 50 % of y = 60 % of 6

⇒ 0.8 x + 0.5 y = 3.6

⇒ 8 x + 5 y = 36 --------- (2)

Where equation 1) and equation 2) are the required equation which models the given situation.

Now, 8 × equation 1)

We get, 8 x + 8 y = 48 ----------(3)

equation (3) - equation (2)

we get, 3 y = 12

⇒ y = 4

By putting the value of y in equation (2)

we get, x = 2

Thus, he mixed 2 lb of mixture 80/20 and 4 lb of mixture 50/50 for making 6 lb of 50/50 mixture.

4 0

3 years ago

Mateo reproducira una foto que mide 5 cm por lado a una escala de 3/4

Aneli [31]

the question in English

Mateo will reproduce a photo measuring 5 cm per side on a scale of 3/4

How much will the square side of the copy measure?

Will the size of the copy be larger or smaller than the original?

we know that

the scale factor is equal to $\frac{3}{4}$

Let

x----------> the original length side

y--------> the copy length side

$y=\frac{3}{4}*x$

we have that

$x=5\ cm$

substitute the values

$y=\frac{3}{4}*5=3.75\ cm$

therefore

the answer Part a) is

the length side of the copy measure is $3.75\ cm$

Part b)

we know that

the size of the original photo is------> $5*5=25\ cm^{2}$

the size of the copy is------> $3.75*3.75=14.06\ cm^{2}$

$14.06\ cm^{2} < 25\ cm^{2}$

therefore

the answer part b) is

The size of the copy be smaller than the original

3 0

3 years ago