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Montano1993 [528]

3 years ago

12

Jake and mike took a different number of tests. jake scored 85 points on each test. mike's total score was 15 less than jakes to

tal score. the following expression shows michaels score 85x-15 in the expression, what does the variable x represent

1 answer:

Daniel [21]3 years ago

6 0

I am to believe that his score was 70.

since mike scored 15 less than 85 i had suspected it was 70

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6. A tank contains 100-gallon of pure water. At time t = 0, a solution containing 2 lb of salt per gallon flows into the tank at

SOVA2 [1]

Answer:

The answer is below

Step-by-step explanation:

Let Q represent the amount of salt in the tank at time t.

$\frac{dQ}{dt}= flow\ in - flow\ out\\ \\flow\ in=3\ gal/min*2\ lb/gal=6\ lb/min\\\\net\ gain\ in\ tank\ volume=3-4=-1, henceflow\ out= \frac{4Q}{100-t} \\\\\frac{dQ}{dt}= 6-\frac{4Q}{100-t} \\\\\frac{dQ}{dt}+ \frac{4Q}{100-t}=6\\\\The \ integrating\ factor\ is:\\\\IF=e^{\int\limits {\frac{4}{100-t} } \, dt }=e^{-4\int\limits {\frac{-1}{100-t}}=e^{-4ln(100-t)}=(100-t)^{-4}}\\\\Multiplying\ through \ by\ IF: \\\\(100-t)^{-4}\frac{dQ}{dt}+ (100-t)^{-4}\frac{4Q}{100-t}=6(100-t)^{-4}\\\\$

$Integrating:\\\\A(100-t)^{-4}=-2(100-t)^{-3}+c\\\\A=-2(100-t)+\frac{c}{(100-t)^{-4}} \\\\at, t=0,A=0\\\\0=-2(100-0)+\frac{c}{(100-0)^{-4}}\\\\c=0.02\\\\A=-2(100-t)+\frac{0.02}{(100-t)^{-4}}$

7 0

3 years ago

Find AB If AC = 12 and BC = 35

Alisiya [41]

Answer:

37

Step-by-step explanation:

<h2>a² =b²+ç²</h2><h2>a²=12²+35²</h2><h2>a=√1369</h2><h2>a=37</h2>

4 0

3 years ago

Using 3.14 for 7, a sphere has a volume of 904.32 mm.

Alla [95]

Answer:

$v = \frac{4}{3} \pi {r}^{3 } \\ 904.32 = \frac{4}{3} \times 3.14 \times {r}^{3} \\ {r}^{3} = \frac{3 \times 904.32}{4 \times 3.14} = 21.57 \\ r = 2.78$

then Radias equal to 5.5676

Step-by-step explanation:

I can help you solve what you want in mathematics in exchange for some money. If you want to, you can inform me about it and I will help you.

7 0

3 years ago

34699 to nearest ten thousand

xz_007 [3.2K]

Ones place: 9

Tens place: 9

Hundreds place: 6

Thousands place: 4

Ten thousands place: 3

Which is 34,699

Now that we know 3 is in the ten thousand's place.

So then go from 3, and jump too 4. If the number is higher then 5, the 3 would become a 4. If the number is lower then 5, 4 would become a 0 and so will the rest of the number's too the right.

34,699 ---> 30,000

That being said, the answer is 30,000!

I hope this help's! :)

-LizzyIsTheQueen

8 0

3 years ago

Richard receives a 3.5% commission for selling cleaning supplies. What is his commission on sales of $122,591?

konstantin123 [22]

Answer:

We have to find 3.5% $122,591

So,

122591*3.5/100=4,290.685

So, the commission will be $4,290.685

5 0

3 years ago

Read 2 more answers