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3 years ago

If x6 and y7-1 equal 48, what numbers are x and y?

Mathematics

2 answers:

Tamiku [17]3 years ago

4 0

Answer:

6x=48

7y-1=48 (im assuming the y is on the 7.)

48/6=8=x

48-1=47/7=6.7=y

Pavlova-9 [17]3 years ago

3 0

Answer:

x = 8

y = 7

Step-by-step explanation:

x • 6 = 48

In order to isolate the variable, you need to do the opposite operation which is division in this case.

Divide 6 by 6 to cancel it out. Whatever you do to one side has to be done to the other side. Now we're left with 48 ÷ 6

$x=\frac{48}{6}$

$x=8$

We can check this by plugging your answer in the equation

8 • 6 = 48

This statement is true

y • 7 - 1 = 48

Start with doing the inverse operation, which is addition. Add 1 to -1 to cancel it out and do the same to the other side

y • 7 = 49

Then, divide 7 by 7 and do the same to the other side

y = 7

Check to make sure you're right

7 • 7 - 1 = 48

49 - 1 = 48

48 = 48

This statement is true

I hope this helps. (:

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Answer:

Therefore the concentration of salt in the incoming brine is 1.73 g/L.

Step-by-step explanation:

Here the amount of incoming and outgoing of water are equal. Then the amount of water in the tank remain same = 10 liters.

Let the concentration of salt be a gram/L

Let the amount salt in the tank at any time t be Q(t).

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Incoming rate = (a g/L)×(1 L/min)

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The concentration of salt in the tank at any time t is = $\frac{Q(t)}{10}$ g/L

Outgoing rate = $(\frac{Q(t)}{10} g/L)(1 L/ min)$ $\frac{Q(t)}{10} g/min$

$\frac{dQ}{dt} = a- \frac{Q(t)}{10}$

$\Rightarrow \frac{dQ}{10a-Q(t)} =\frac{1}{10} dt$

Integrating both sides

$\Rightarrow \int \frac{dQ}{10a-Q(t)} =\int\frac{1}{10} dt$

$\Rightarrow -log|10a-Q(t)|=\frac{1}{10} t +c$ [ where c arbitrary constant]

Initial condition when t= 20 , Q(t)= 15 gram

$\Rightarrow -log|10a-15|=\frac{1}{10}\times 20 +c$

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Putting t=0 and Q(t)=0 in equation (1) we get

$- log|10a|= -log|10a-15| -2$

$\Rightarrow- log|10a|+log|10a-15|= -2$

$\Rightarrow log|\frac{10a-15}{10a}|= -2$

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$\Rightarrow 1-\frac{15}{10a} =e^{-2}$

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Therefore the concentration of salt in the incoming brine is 1.73 g/L

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3 years ago

There are 30 biscuits in a tin. 8 of the biscuits are iced, of which 6 contain

amid [387]

The probability that a biscuit picked at random contains chocolate

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<h3>What is Probability ?</h3>

Probability is defined as the study of likeliness of an event to happen.

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2 years ago

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2 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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tiny-mole [99]

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3 years ago

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