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Rainbow [258]
3 years ago
7

7x31=????????????????

Mathematics
1 answer:
Hunter-Best [27]3 years ago
8 0

Answer:

217

Step-by-step explanation:

  1. 7 × 31 = 217

I hope this helps!

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The two triangles are similar. What is the value of x?
Ghella [55]

Answer:

x=5

Step-by-step explanation:

We can write ratios to help us solve

4x            12 +3

---------- = ------------

3x+1                 12

Using cross products

4x*12 = (3x+1) * (15)

48x = 45x +15

Subtract 45x from each side

3x =15

Divide by 3

3x/3 =15/3

x=5

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3 years ago
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The correct answer is A. 2cm
18      2cm
---- = ----
45      5cm

hope this helps
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Which of the following is a unit rate?
Sati [7]

Answer:

the second one

Step-by-step explanation:

Its measuring by miles per hour

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3 years ago
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A rectangular prism has dimensions 3.2 in. by 5 in. by 1.5in. what is the volume area of the prism?
morpeh [17]

Answer:

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Step-by-step explanation:

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3 years ago
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A tank contains 90 kg of salt and 1000 L of water. A solution of a concentration 0.045 kg of salt per liter enters a tank at the
Andreyy89

Answer:

Step-by-step explanation:

concentration = amount of salt/solution

A) Initial concentration= 90/1000 = 0.09

Q = quantity of salt

Q(0) = 90 kg

Inflow rate = 8 l/min

Outflow rate = 8 l/min

Solution = 1000 L at any time t.

Salt inflow = 0.045 * 8 per minute

= 0.36 kg per minute

This is mixed and drains from the tank.

Outflow = \frac{Q(t)}{1000}

Thus rate of change of salt

Q'(t) = inflow - outflow = 0.36-\frac{Q(t)}{1000} \\=\frac{360-Q(t)}{1000}

Separate the variables and integrate

\frac{1000dQ}{360-q(t)} =dt\\-1000 ln |360-Q(t)| = t+C\\ln |360-Q(t)| = -0.001+C'\\360-Q(t) = Ae^{-0.001t} \\Q(t) = 360-Ae^{-0.001t}

Use the fact that Q(0) = 90

90 = 360-A

A = 270

So

Q(t) = 360-270e^{-0.001t}

B) Q(t) = 360-270e^-0.004  = 91.07784

C) When t approaches infinity, we get

Q(t) tends to 360

So concentration =360/1000 = 0.36

8 0
3 years ago
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