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Sergio [31]
3 years ago
6

The recipe for Perfect Purple Water says, "Mix 8 ml of blue water with 3 ml of red water." Jada mixes 24 ml of blue water with 9

ml of red water. Andre mixes 16 ml of blue water with 9 ml of red water. Which person will get a color mixture that is the same shade as Perfect Purple Water? Jada Andre
Mathematics
1 answer:
cluponka [151]3 years ago
7 0

Answer:Jada will get same shade as Perfect Purple Water

Step-by-step explanation:

STEP 1

To get the right  recipe for Perfect purple water, every new mixture must have an equivalent ratio as the ideal mixture

The ideal mixture is given as

8ml  blue water and 3 ml red water.

Step 2

Andre mixes 16ml blue water with 9ml red water

\frac{8ml}{3ml} is not equivalent to \frac{16ml}{9ml}

Because dividing Andre's mixture  by a common value  will  not give  the equivalent ratio of the ideal recipe

\frac{16ml}{9ml}  \frac{/}{/}  \frac{3}{3} =\frac{5.3ml}{3ml}  

Jada mixes 24ml blue water with 9ml red water

\frac{8ml}{3ml} is equivalent to \frac{24ml}{9ml}

Because dividing Jada's mixture  by a common value  gives the equivalent ratio of the ideal recipe

\frac{24ml}{9ml}  \frac{/}{/}  \frac{3}{3} =\frac{8ml}{3ml}  

This shows that Jada got the right recipe and will get  same shade as Perfect Purple Water but in a higher quantity, 3 times the right recipe for  Perfect Purple Water

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Leah drives 45 miles per hour for 2 hours then 32 miles per hour for 90 minutes . What is her average speed
Citrus2011 [14]

Answer:

 =39.42857143 miles per hour

Step-by-step explanation:

To find the average speed, we need to the total distance and the total time

Distance 1

45 miles for 2 hours

45*2 = 90 miles

Distance 2

90 minutes * 1 hour/60 minutes = 1.5 hours

32 miles * 1.5 hours =48 miles

The total distance = 90+48 = 138 miles

The total time = 2 +1.5 = 3.5 hour

The average speed = total distance/ total time

                                  = 138/3.5

                                  =39.42857143 miles per hour

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3 years ago
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Answer:

Step-by-step explanation:

\frac{3x+4}{12}=\frac{15}{6}\\3x+4=30\\3x=26\\x=\frac{26}{3}\\MN=3x+4=30

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3 years ago
A book which was bought for Rs.100 was sold at Ra.90 what will be the loss percent?​
Travka [436]

Answer:

10% or 1%

Step-by-step explanation:

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6 0
3 years ago
A thermometer is taken from a room where the temperature is 20◦C to the
lord [1]

Answer:

a) T(2) = 8.265: at time t = 2 minutes the temperature will be 8.265 degress

b) 6 = T(3.55): the temperature will be 6 degrees at time t = 3.55 minutes.

Step-by-step explanation:

When dealing with temperature changes, it's best to work with Newton's Law of Cooling.

T(t) = T_s + Ce^{kt}

here:

T(t) : the temperature in the room.

T_s : ambient (or outdoor) temperature (that always remains constant, in our case: T_s = 5 )

C\,\text{and}\,k: are constants

Our conditions are provided:

1) T(0) = 20

2) T(1) = 12

using the first condition

T(0) = 5 + Ce^{k(0)}\\20 = 5 + C(1)\\C = 15

using the second condition:

T(1) = 5 + Ce^{k(1)}\\12 = 5 + Ce^{k}\\e^k = \dfrac{7}{C}

we can use our calculated value of C to find k

e^k = \dfrac{7}{15}\\k = \ln{(\dfrac{7}{15})}\\k = -0.7621

Finally we can put these constants back in the main equation:

T(t) = T_s + Ce^{kt}

T(t) = 5 + 15e^{-0.7621t} or T(t) = 5 + 15e^{\ln{(\frac{7}{15})t}

a) Reading after one more minute?

so it's asking:

T(2) = ?

T(2) = 5 + 15e^{\ln{(\frac{7}{15})(2)}}\\T(2) = \dfrac{124}{15} \approx 8.267

Hence, after one more minute the temperature of the room will be 8.267 degrees

b) When will it be 6 degrees?

T(t) = 6?

6 = 5 + 15e^{-0.7621t}\\\text{and solve for $t$}\\\\\dfrac{6-5}{15}=e^{\ln{(\frac{7}{15})}t}\\\ln{\left(\dfrac{1}{15}\right)} = \ln{\left(\dfrac{7}{15}\right)t}\\\ln{\left(\dfrac{1}{15}\right)} \div \ln{\left(\dfrac{7}{15}\right)} = t \approx 3.55\\

Hence at t = 3.55 minutes the temperature of the room will be 6 degrees.

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Help with my math thanks
PtichkaEL [24]

Answer:

9 is correct

Step-by-step explanation:

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