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Aneli [31]
3 years ago
7

when buying lemonade mix , Cece spend $0.72 on a 6- ounce packet and $0.27 on a 3- ounce packet . Use unit rates to determine if

each pair of rates is equivalent . Explain.
Mathematics
1 answer:
siniylev [52]3 years ago
3 0

6- ounce packet rate = $0.72 .

In order to find the one ounce rate, we need to divide $0.72 by 6.

On dividing 0.72 by 6, we get $0.12.

<em>Therefore, first unit rate is $0.12 per ounce.</em>

3- ounces packet rate = $0.27.

In order to find the one ounce rate, we need to divide  $0.27 by 3.

On dividing 0.27 by 3, we get $0.09.

<em>Therefore, second unit rate is $0.09 per ounce.</em>

<h3>So, we can say that each pair of rates is not equivalent. </h3>
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vagabundo [1.1K]

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This result is actually true for any exterior angle. The exterior angle of a triangle is equal to the sum of the two remote angles, and above is a short proof of it.

6 0
3 years ago
Due right now help ill mark you brainly if its correct
AleksandrR [38]

Answer:

all but 1/6

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The lifespan of a lion in a particular zoo are normally distributed. The average lion lives 12.5 years the. Standard deviation i
Anika [276]

Answer:

0.1585

Step-by-step explanation:

Solution:-

The lifespan of a lion in a particular zoo is normally distributed with average lion lives:

                    Mean u = 12.5 years

                    Standard deviation s = 2.4 years

We are to use the empirical rule ( 68-95-99.7% ) to estimate the probability of a lion living between 5.3 and 10.1.

- The empirical rule ( 68-95-99.7% ) states:

                     P ( u - s < X < u + s ) = 68%

                     P ( u - 2s < X < u + 2s ) = 95%

                     P ( u - 3s < X < u + 3s ) = 99.7%

- The test have the following number of standard deviations (s):

                 

                    u - s < X < u + s  = 12.5 - 2.4 < X < 12.5 + 2.4  = 10.1 < X < 14.9

                    u - 2s < X < u + 2s = 12.5 - 4.8 < X < 12.5 + 4.8  = 7.7 < X < 17.3

                    u - 3s < X < u + 3s = 12.5 - 7.2 < X < 12.5 + 7.2  = 5.3 < X < 19.7

Hence,

                   P ( 10.1 < X < 14.9 ) = 0.68

                   P ( 7.7 < X < 17.3 ) = 0.95

                   P ( 5.3 < X < 19.7 ) = 0.997

-  We need P ( X < 10.1 ) and P ( X < 5.3 ):

                  P ( X < 10.1 ) = [ 1 - P ( 10.1 < X < 14.9 ) ] / 2

                                      = [ 1 - 0.68 ] / 2

                                      = 0.16

                  P ( X < 5.3 ) = [ 1 - P ( 5.3 < X < 19.7 ) ] / 2

                                      = [ 1 - 0.997 ] / 2

                                      = 0.0015

Hence,

                 P ( 5.3 < X < 10.1 ) = P ( X < 10.1 ) - P ( X < 5.3 )

                                               = 0.16 - 0.0015

                                               = 0.1585

5 0
3 years ago
A toxic radioactive substance with the density of 4 mg/cm² is detected in the been detected in the ventilating ducts that was us
Kruka [31]
The formula for half-life is:

A = P(0.5)^{t/h}

A is the amount remaining, P is the initial amount, t is the time that has passed, and h is the half-life of the substance.  Plug in the values that you know and solve:

4 = P(0.5)^{35/20} \\ \\ 4 = P(0.5)^{1.75} \\ \\ P = \frac{4}{0.5^{1.75}} \\ \\ P \approx 13.4543426441

Rounded to the nearest whole number, the density of the substance was about 13<span>mg / cm².</span>
8 0
3 years ago
Make (X-12)/(x-8) equal to zero <br><br> A)-2<br> B)-8<br> C)2<br> D)8
nevsk [136]

Answer:

x=12 makes (X-12)/(x-8) equal to zero

x=8 makes (X-12)/(x-8)  undefined

Step-by-step explanation:

(x-12)/(x-8) = 0

The  first step is to multiply each side by x-8

 (x-8) *(x-12)/(x-8) = 0 * (x-8)

This cancels the denominator.  x≠ 8 because the denominator would equal 0 and then it becomes undefined.

x-12 = 0

Add 12 to each side

x-12+12 = 0+12

x = 12


I

7 0
3 years ago
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