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allsm [11]
3 years ago
7

Tina has 3/5 pound of rice she will use 2/3 of it to make fried rice for her family how much rice will Tina use to make fried ri

ce
Mathematics
2 answers:
Komok [63]3 years ago
8 0
Multiply (3/5)lb by (2/3);     

 3      2
---- * ----   This immediately reduces to 2/5 (answer)
  5     3
Stells [14]3 years ago
3 0

Answer : The amount of rice Tina use to make fried rice will be, \frac{2}{5} pounds

Step-by-step explanation :

As we are given that:

Tina has the amount of rice = \frac{3}{5} pounds

Amount of fraction she use to make fried rice = \frac{2}{3}

Now we have to calculate the amount of rice will Tina use to make fried rice.

Amount of rice will Tina use to make fried rice = \frac{3}{5}\times \frac{2}{3} pounds

Amount of rice will Tina use to make fried rice = \frac{2}{5} pounds

Thus, the amount of rice Tina use to make fried rice will be, \frac{2}{5} pounds

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5 0
3 years ago
consider the following equations: -x-y=1 y=x+3 if the two equations are graphed, at what point do the lines representing the two
Oksana_A [137]

Answer:

(-2, 1)

Step-by-step explanation:

consider the following equations: -x-y=1 y=x+3

For the lines to intersect, the  values must be the same

-x-y=1

x + y = -1

y = -x - 1

Equating the y values

-x - 1 = x+ 3

-x-x = 3 + 1

-2x = 4

x = 4/-2

x = -2

Substitute x = -2 into y = x+3

y = -2 + 3

y = 1

Hence the required coordinate is (-2, 1)

7 0
3 years ago
A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t
11Alexandr11 [23.1K]

Answer:

  • <u>Question 1:</u>      dm/dt=0.2m<u />

<u />

  • <u>Question 2:</u>     m=Ae^{(0.2t)}<u />

<u />

  • <u>Question 3:</u>      m=10e^{(0.2t)}<u />

<u />

  • <u>Question 4:</u>      m=10g<u />

Explanation:

<u>Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m</u>

<u></u>

a) By definition:  m'=dm/dt

b)  Given:  rate=0.2m

c) By substitution:  dm/dt=0.2m

<u>Question 2: Find the general solution of this equation. Use A as a constant of integration.</u>

a) <u>Separate variables</u>

     dm/m=0.2dt

b)<u> Integrate</u>

           \int dm/m=\int 0.2dt

            ln(m)=0.2t+C

c) <u>Antilogarithm</u>

       m=e^{0.2t+C}

       m=e^{0.2t}\cdot e^C

         e^C=A\\\\m=Ae^{(0.2t)}

<u>Question 3. Which particular solution matches the additional information?</u>

<u></u>

Use the measured rate of 4 grams per hour after 3 hours

            t=3hours,dm/dt=4g/h

First, find the mass at t = 3 hours

            dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g

Now substitute in the general solution of the differential equation, to find A:

          m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976

Round A to 1 significant figure:

  • A = 10.

<u>Particular solution:</u>

           

             m=10e^{(0.2t)}

<u>Question 4. What was the mass of the bacteria at time =0?</u>

Substitute t = 0 in the equation of the particular solution:

         m=10e^{0}\\\\m=10g

3 0
3 years ago
In square ABCD, m∠AED=(7x−8)°. What is the value of x?
kirill115 [55]

Answer:

12

Step-by-step explanation:

The angle equals 90 degrees so (8*12-6) would equal 90

hopefully i helped

4 0
3 years ago
Jesus bought 5/6 pounds of peanuts. He ate 3/4 pound of the peanuts with his friends. how much does Jesus have left?
Bad White [126]

Answer:

Step-by-step explanation:

Total peanuts = 5/6pounds

They ate = 3/4 of the peanut

= 3/4 × 5/6 = 5/8pounds

They eat 5/8 pounds

Amount left = 5/6 - 5/8

= (20 - 15)/24

= 5/24pounds

Jesus had 5/24 pounds of peanuts left

5 0
3 years ago
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