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Olegator [25]
3 years ago
15

4/y+2 - 9/y-2 = 9/y^2-4

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
8 0
Going off the idea that this is 4/(y+2) - 9/(y-2) = 9/(y^2-4), let's first rewrite y^2-4 in the form of a^2-b^2, where a=y and b=2.
y/(y+2)-9/(y-2)=9/(y^2-2^2)
Now, use difference of squares: a^2-b^2=(a+b)(a-b)
4/(y+2)-9/(y-2)=9/((y+2)(y-2))
Multiply both sides by the Least Common Denominator: (y+2)(y-2)
4(y-2)-9(y+2)=9
Then keep on simplifying until you get your answer
-5y-26=9
-5y=9+26
-5y=35
y=35/-5
y=-7
Yay! Our answer is y=-7!
tangare [24]3 years ago
6 0
The answer y =-7
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A consumer group is interested in estimating the proportion of packages of ground beef sold at a particular store that have an a
storchak [24]

Answer:  267.

Step-by-step explanation:

When there is no prior information for the population proportion, then the formula we use to find the sample size to estimate the confidence interval :

n=0.25(\dfrac{z^*}{E})^2 , where z* = Critical z-value and E + amrgin of error.

Let p = proportion of packages of ground beef sold at a particular store that have an actual fat content exceeding the fat content stated on the label.

Since , we have no prior information about p. so we use above formula

with E = 0.06 and critical value for 95% confidence =z* =1.96  [By z-table ] , we get

n=0.25(\dfrac{1.96}{0.06})^2=0.25(32.6666)^2\\\\=(0.25)(1067.111111)\\\\=266.777777778\approx267

Hence, the required sample size is 267.

7 0
3 years ago
It takes Ebru 131313 minutes to bike to school. If she walks, it takes her twice as long. Ebru leaves for school at 7{:}157:157,
sdas [7]

Answer: 7:41 am

Step-by-step explanation:

It takes Ebru 13 minutes to bike to school but if she walks it would take her twice at long.

= 13 * 2

= 26 minutes

If she leaves the house at 7:15 , she will arrive at:

= 715 + 26

= 7:41 hours

3 0
2 years ago
An animal shelter wants their ratio of dogs to cats to be 3:2. If the animal shelter has 78 dogs, how many cats should they have
OleMash [197]
The simplest way to do this is to set up equivalent fractions. So, you'd do:

\frac{3}{2} = \frac{78}{x} and then solve for x. 

x=52
4 0
3 years ago
What is <br> -65 x -2? <br> 5j + 10j?
dolphi86 [110]

They are both simple exercises in addition.
The solutions are:

         (-65) x (-2)  =  <em>130</em>

           (5j) + (10j)  =<em>  15j</em>


8 0
3 years ago
Micayla wants the print shop to reduce the size of her painting but keep the ratio of length to width so that it will fit her fr
marissa [1.9K]

Answer:

The width of the frame must be 12 inches (15in by 12in)

Step-by-step explanation:

Given

See attachment for painting and frame

Required

Determine the dimension of the frame

To do this, we make use of the following scale ratio.

Scale = Length : Width

For the painting,

Scale = 20: 16

For the frame,

Scale = 15: w

Since she wants to maintain the same ratio; both scale must be the same.

i.e.

15 : w = 20 : 16

Express as fraction

\frac{w}{15} = \frac{16}{20}

\frac{w}{15} = 0.8

Make w the subject

w = 15 * 0.8

w = 12

<em>The width of the frame must be 12 inches i.e. 15in by 12in frame</em>

8 0
3 years ago
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