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3 years ago

5 1/4 - 2 2/3, how do I solve please?

2 answers:

6 0

5 1/4 - 2 2/3

first you find the LCM, so u can make both fractions have a like denominator. I'm thinking the LCM is 12, so:

(5 3/12) - (2 8/12)
= 63/12 - 32/12
=31/12
= 2 and 7/12

5 1/4 - 2 2/3 = 2 7/12

dexar [7]3 years ago

5 0

21/4 − 8/3

= ((21 × 3) − (8 × 4)) / (4 × 3) 

= (63 - 32) / 12

= 31/12

= 31/12

= 2 7/12

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A tank contains 120 liters of fluid in which 50 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu

gtnhenbr [62]

If A(t) is the amount of salt in the tank at time t, then A(0) = 50 g and

A'(t) = (1 g/L)*(3 L/min) - (A(t)/120 g/L)*(3 L/min)

$\implies A'+\dfrac A{40}=3$

Multiply both sides by $e^{t/40}$ , so that the left side can be condensed as the derivative of a product:

$e^{t/40}A'+\dfrac{e^{t/40}}{40}A=3e^{t/40}$

$\left(e^{t/40}A\right)'=3e^{t/40}$

Integrate both sides and solve for A(t).

$e^{t/40}A=120e^{t/40}+C$

$\implies A(t)=120+Ce^{-t/40}$

Given that A(0) = 50 g, we have

$50=120+C\implies C=-70$

so that the amount of salt in the tank at time t is

$\boxed{A(t)=120-70e^{-t/40}}$

7 0

3 years ago

Help me on 8 and 9 plz

klasskru [66]

8. first 12 bags for 54m^{2} [/tex]
54 ÷ 12 = 4.5
we know: 1 bag for 4.5m^2
36 ÷ 4.5 = 8
so 36m^2 we must use 8 bags

9. $\frac{5}{8}$ x2 =5x2/8= 10/8 = 5/4 = 1.25

hope it helped you

5 0

3 years ago

5n + 10 = 10n - 65 Show steps I will ly

natita [175]

Answer: 15

Step-by-step explanation: 5n + 10=10n - 65

-10n -10n

------------------------------

-5n +10 = -65

-10 -10

----------------------------

-5n = -75

divide -5 on both sides and you should get positive 15

5 0

3 years ago

Read 2 more answers

In rectangle abcd measure of angle d =(3x+15) measure b =(6x-42) find measure of angle a

slava [35]

5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore,
$6x-42=3x+15\\3x=57\\x=19$

Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B = $6(19)-42=72$
Now, remember that ∠B or ∠D are supplements of ∠A.
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.

6 0

3 years ago

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In-s [12.5K]

Answer:

GJ is perpendicular to IK

Step-by-step explanation:

GJ is perpendicular to IK

6 0

2 years ago