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3 years ago

Here is a formula for the amount of water needed to cook rice.

Mathematics

1 answer:

malfutka [58]3 years ago

5 0

Answer:

17 cups of water

Step-by-step explanation:

Given:

Amount of water needed to cook rice (w) = 1.5 r + 0.5

Number of cups of rice to be cooked = r

Number of cup needed to cook rice = w

Find:

Number of cups of water needed to cook 11 cups of rice:

Computation:

Amount of water needed to cook rice (w) = 1.5 r + 0.5

We know that , Number of cups of rice to be cooked = r = 11

So,

w = 1.5 r + 0.5

w = 1.5 (11) + 0.5

w = 16.5 + 0.5

w = 17

Therefore, 17 cups of water needed to make 11 cups of rice.

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Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)

lisov135 [29]

Answer:

(a) The system of the equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ has no solution.

(b) The system of the equations $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ has many solutions $y=\frac{2x}{3}-\frac{5}{3}$

Step-by-step explanation:

(a) To find the solutions of the following system of equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ you must:

Multiply $2x-3y=3$ by 2:

$\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}$

Subtract the equations

$4x-6y=3\\-\\4x-6y=6\\------\\0=-3$

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ you must:

Isolate x for $4x-6y=10$

$x=\frac{5+3y}{2}$

Substitute $x=\frac{5+3y}{2}$ into the second equation

$16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40$

The system has many solutions.

Isolate y for $4x-6y=10$

$y=\frac{2x}{3}-\frac{5}{3}$

3 0

3 years ago

Can someone help me solve this question? It’s similar to the previous ones! Thank you!

luda_lava [24]

Answer:

$\boxed{\sf \ \ \ (-2x+-9)(1x+3)=-2x^2-15x-27 \ \ \ }$

the coefficient c is -27

Step-by-step explanation:

hello

$(-2x+-9)(1x+3)=(-2x-9)(x+3)=-2x(x+3)-9(x+3)=-2x^2-6x-9x-27\\=-2x^2-15x-27$

hope this helps

8 0

3 years ago

Which number is larger 2/5 or 3/4

Natali5045456 [20]

2/5 = 8/20
3/4= 15/20

Therefore, 3/4 is larger than 2/5~

5 0

3 years ago

a bank receives a deposit for $30000. If the bank has a 10 percent reserve requirement approximately how much money could be ini

Elodia [21]

It might be 30000 maybe

5 0

3 years ago

A merchant is sold at a loss of 15%. if he bought this article at birr 6000, how much he sold it ?

zalisa [80]

Answer:

He sold it at 5100

Step-by-step explanation:

Find the 15% of 6000

6000 *15%

6000*.15

900

At a loss means subtract

6000-900

5100

He sold it at 5100

4 0

3 years ago