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vlabodo [156]
4 years ago
5

Serena counts her calories over several days. What is her total caloric intake given these values: 1,405; 1,219; 1,119; 1,353.

Mathematics
2 answers:
ki77a [65]4 years ago
8 0
You would do 1405+1219+1119+1353=5096 and divide that by four which is 1274
Alex787 [66]4 years ago
5 0

For this case we add the quantities of calories consumed per day, that is:

1,405 + 1,219 + 1,119 + 1,353 = 5,096

So Serena consumed 5,096 calories in 4 days. If we want to know the average calorie content per day, we divide the amount obtained by 4:

\frac {5,096} {4} = 1,274

ANswer:

5,096 total calories

Consumes on average 1,274 calories per day.

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Suppose that a large mixing tank initially holds 100 gallons of water in which 50 pounds of salt have been dissolved. Another br
Serggg [28]

Answer:

dA/dt = 12 - 2A/(100 + t)

Step-by-step explanation:

The differential equation of this problem is;

dA/dt = R_in - R_out

Where;

R_in is the rate at which salt enters

R_out is the rate at which salt exits

R_in = (concentration of salt in inflow) × (input rate of brine)

We are given;

Concentration of salt in inflow = 4 lb/gal

Input rate of brine = 3 gal/min

Thus;

R_in = 4 × 3 = 12 lb/min

Due to the fact that solution is pumped out at a slower rate, thus it is accumulating at the rate of (3 - 2)gal/min = 1 gal/min

So, after t minutes, there will be (100 + t) gallons in the tank

Therefore;

R_out = (concentration of salt in outflow) × (output rate of brine)

R_out = [A(t)/(100 + t)]lb/gal × 2 gal/min

R_out = 2A(t)/(100 + t) lb/min

So, we substitute the values of R_in and R_out into the Differential equation to get;

dA/dt = 12 - 2A(t)/(100 + t)

Since we are to use A foe A(t), thus the Differential equation is now;

dA/dt = 12 - 2A/(100 + t)

5 0
3 years ago
Nick wants to write
olchik [2.2K]

Answer:

Nick needs to buy 3 packs.

Step-by-step explanation:

If Nick buys 3 packs he will have 18 cards. If he uses 15 of them he will have 3 left over. If he only bought 2 packs he would be 3 cards short of the amount he really needed.

5 0
3 years ago
Read 2 more answers
5+2x=2x+6<br> What's the answer?
Marina86 [1]

<u>Answer:</u>

Below!

<u>Step-by-step explanation:</u>

<u>We can solve this with the help of equations.</u>

  • 5 + 2x = 2x + 6
  • => -2x + 2x = -5 + 6
  • => 0 ≠ 1

<u>Since we are getting 0 ≠ 1 as our result, the problem has </u><u>no solution.</u>

Hoped this helped.

BrainiacUser1357

3 0
2 years ago
Help me pleasssseeeeeee
fgiga [73]

Answer:

  d. Distributive property

Step-by-step explanation:

The <em>Distributive property</em> of multiplication over addition is what allows you to multiply each of the terms in parentheses by the factor outside parentheses. It tells you ...

  a(b +c) = ab + ac

It works both ways, also allowing you to remove a common factor to outside parentheses.

3 0
3 years ago
Jacob has 12 fish, and all of them are either yellow or red. There are twice as many yellow fish as red fish. How many yellow fi
Vinil7 [7]

Answer:

yellow : 8

Red : 4

Step-by-step explanation:

Yellow : Y and Red : R

R : Y = 12

They need to add up to 12 because its the total.

We know that yellow is twice the amount so

4×2= 8

so if yellow was to be times by 2 itd be 8 which will still add up to 12.

4 0
3 years ago
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