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3 years ago

15

Alice needs to mix 4 cups of baking soda with 3 cups of water to make a cleaning solution. How many cups of baking soda are need

ed for each cup of water?

1 answer:

Natali5045456 [20]3 years ago

5 0

Answer:

1 and 1/3 cup

Step-by-step explanation:

You need to be able to add a number 3 times and get the answer of 4

1 1/3 + 1 1/3 + 1 1/3=4

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A cookie contains 9 grams of fat. If you eat no fewer than 4 and no more than 7 cookies, how many grams of fat will you

Hitman42 [59]

Step-by-step explanation:

Since each cookie has 9 grams of fat, four cookies would contain 4*9 = 36 grams of fat.

Also nine cookies has 7*9 = 63 grams of fat.

So the number of grams consumed will be at least 36 and no more than 63.

5 0

3 years ago

5. A tank initially contains 20 lb of salt dissolved in 200-gallon of water. Starting at time t = 0, a solution containing 0.5 l

sladkih [1.3K]

Answer:

(a) Amount of salt as a function of time

$A(t)=100-80e^{-0.02t}$

(b) The time at which the amount of salt in the tank reaches 50 lb is 23.5 minutes.

(c) The amount of salt when t approaches to +inf is 100 lb.

Step-by-step explanation:

The rate of change of the amount of salt can be written as

$\frac{dA}{dt} =rate\,in\,-\,rate\,out\\\\\frac{dA}{dt}=C_i*q_i-C_o*q_o=C_i*q_i-\frac{A(t)}{V}*q_o\\\\\frac{dA}{dt}=0.5*4-\frac{A(t)}{200}*4\\\\\frac{dA}{dt} =\frac{100-A(t)}{50}=-(\frac{A(t)-100}{50})$

Then we can rearrange and integrate

$\frac{dA}{dt}= -(\frac{A(t)-100}{50})\\\\\int \frac{dA}{A-100}=-\frac{1}{50} \int dt\\\\ln(A-100)=-\frac{t}{50}+C_0\\\\ A-100=Ce^{-0.02*t}\\\\\\A(0)=20 \rightarrow 20-100=Ce^0=C\\C=-80\\\\A=100-80e^{-0.02t}$

Then we have the model of A(t) like

$A(t)=100-80e^{-0.02t}$

(b) The time at which the amount of salt reaches 50 lb is

$A(t)=100-80e^{-0.02t}=50\\\\e^{-0.02t}=(50-100)/(-80)=0.625\\\\-0.02*t=ln(0.625)=-0.47\\\\t=(-0.47)/(-0.02)=23.5$

(c) When t approaches to +infinit, the term e^(-0.02t) approaches to zero, so the amount of salt in the solution approaches to 100 lb.

7 0

3 years ago

A toy company makes toys at a constant rate per hour. At 10 a.m., the company has made a total of 12 toys. At 2 p.m., the compan

mr Goodwill [35]

Answer: 180 Toys at 5pm .... and a unit rate of 24 per hour.

Step-by-step explanation: The difference between 12 and 108 is 96 divided by 4 = 24

24 x 3= 72

72 + 108 = 180 toys

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3 years ago

What is the decimal equivalent of 27 5/8

Gala2k [10]

The equivalent is 27.625

4 0

4 years ago

.On a radio morning show, every 12th caller receives concert tickets, and every 16th caller receives an autographed album. What

storchak [24]

Hello!
Let’s write out the multiples of 12 and 16.
12: 12,24,36,48,60,72
16: 16,32,48,64,80,96
Since 48 is in both, caller number 48 will get both

5 0

3 years ago

Read 2 more answers