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3 years ago

A=b+cp - what is p?

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

4 0

a - b = cp

Divide both sides by c:

p = $\frac{a - b}{c}$

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Emily added 5 grams of water into 20 grams of 50% salt solution.

atroni [7]

Answers:
She made ___25___ grams of ___40___% salt solution

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The given info "20 grams of 50% salt solution" tells us that we have 10 grams of pure salt
Since 50% of 20 = 0.50*20 = 10
Put another way, we have 10 grams of pure salt out of 20 total so 10/20 = 0.50 = 50% salt solution

The 20 grams of solution updates to 25 grams of solution when we add the 5 grams of water
We don't add any salt, assuming this water is fresh water

So we still have 10 grams of pure salt out of 25 grams now
10/25 = 2/5 = 0.40 = 40% is the new salt concentration

5 0

3 years ago

A vet's office offers boarding for cats and dogs. boarding a cat cost$20 per night and a dog cost $25 per night if the vet's off

MAVERICK [17]

Answer:

b. x+y=18

20x+25y=400

Step-by-step explanation:

7 0

3 years ago

Water whose temperature is at 100∘C is left to cool in a room where the temperature is 60∘C. After 3 minutes, the water temperat

Tju [1.3M]

Answer:

21.68 minutes ≈ 21.7 minutes

Step-by-step explanation:

Given:

$T=60+40e^{kt}$

Initial temperature

T = 100°C

Final temperature = 60°C

Temperature after (t = 3 minutes) = 90°C

Now,

using the given equation

$T=60+40e^{kt}$

at T = 90°C and t = 3 minutes

$90=60+40e^{k(3)}$

$30=40e^{3k}$

$e^{3k}=\frac{3}{4}$

taking the natural log both sides, we get

3k = $\ln(\frac{3}{4})$

3k = -0.2876

k = -0.09589

Therefore,

substituting k in 1 for time at temperature, T = 65°C

$65=60+40e^{( -0.09589)t}$

$5=40e^{( -0.09589)t}$

$e^{( -0.09589)t}=\frac{5}{40}$

$e^{( -0.09589)t}=0.125$

taking the natural log both the sides, we get

( -0.09589)t = ln(0.125)

( -0.09589)t = -2.0794

t = 21.68 minutes ≈ 21.7 minutes

6 0

3 years ago

A cactus casts a shadow 33 feet long. At the same time of day, Liam who is 6 feet tall, casts a shadow 9 feet long, as shown.

castortr0y [4]

Answer:

here's the solution :-

1.) =》the base of the larger triangle is the length of shadow formed by cactus .

so, length of cactus is : 33 feet.

2.) now, jn the smaller triangle formed by liam and it's shadow : -

=》

since both triangle form 90° the bases of both the larger and smaller triangles are parallel , so the base angles of larger triangle = corresponding base angles of the smaller triangle

hence, the both triangles are similar

( by A.A postulate )

now since the both triangles are similar, the the sides will be proportional ,

=》

$\frac{9}{33} = \frac{6}{x}$