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Vikentia [17]
3 years ago
13

Mays’s mother had 13 small photo albums filled with 72 photos in each . In order to save some space she bought 4 larger albums w

ith each album having 24 pages. If she wanted to put all her pictures into the large albums, with the same number of pictures in each . How many pictures should be in each album?
Mathematics
2 answers:
Ronch [10]3 years ago
7 0
You would multiply 13 and 72 to get how many pictures she has. Then, divide the answer by 24 and that should be the answer.
Lunna [17]3 years ago
3 0
Multiply 13 x 73 = 936. Then divide 936 by 4 which is 234 photos in each of the larger albums.
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A student solves the following equation and
Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}

\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}

\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)

\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)

\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)

as

  • \frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)
  • -\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a
  • \frac{1}{a-2}\left(a+2\right)\left(a-2\right):\quad a+2

so equation becomes

3\left(a-2\right)-6a=a+2  

-3a-6=a+2

-3a-6+6=a+2+6

-4a=8

\mathrm{Divide\:both\:sides\:by\:}-4

\frac{-4a}{-4}=\frac{8}{-4}

a=-2

\mathrm{Verify\:Solutions}

\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{3}{a+2}-6\frac{a}{-4+a^2}-\frac{1}{a-2}\mathrm{\:and\:compare\:to\:zero}

\mathrm{Solve\:}\:a+2=0:\quad a=-2

\mathrm{Solve\:}\:-4+a^2=0:\quad a=2,\:a=-2

\mathrm{Solve\:}\:a-2=0:\quad a=2

So the following points are undefined

a=-2,\:a=2

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

4 0
3 years ago
Algebra 2 Standard Deviation
Illusion [34]

Answer:

don't have answer but have how to do them

Step-by-step explanation:

What are z-scores?

A z-score measures exactly how many standard deviations above or below the mean a data point is.

Here's the formula for calculating a z-score:

z=\dfrac{\text{data point}-\text{mean}}{\text{standard deviation}}z=  

standard deviation

data point−mean

​  

z, equals, start fraction, start text, d, a, t, a, space, p, o, i, n, t, end text, minus, start text, m, e, a, n, end text, divided by, start text, s, t, a, n, d, a, r, d, space, d, e, v, i, a, t, i, o, n, end text, end fraction

Here's the same formula written with symbols:

z=\dfrac{x-\mu}{\sigma}z=  

σ

x−μ

​  

z, equals, start fraction, x, minus, mu, divided by, sigma, end fraction

Here are some important facts about z-scores:

A positive z-score says the data point is above average.

A negative z-score says the data point is below average.

A z-score close to 000 says the data point is close to average.

A data point can be considered unusual if its z-score is above 333 or below -3−3minus, 3. [Really?]

Want to learn more about z-scores? Check out this video.

Example 1

The grades on a history midterm at Almond have a mean of \mu = 85μ=85mu, equals, 85 and a standard deviation of \sigma = 2σ=2sigma, equals, 2.

Michael scored 868686 on the exam.

Find the z-score for Michael's exam grade.

\begin{aligned}z&=\dfrac{\text{his grade}-\text{mean grade}}{\text{standard deviation}}\\ \\ z&=\dfrac{86-85}{2}\\ \\ z&=\dfrac{1}{2}=0.5\end{aligned}  

z

z

z

​  

 

=  

standard deviation

his grade−mean grade

​  

 

=  

2

86−85

​  

 

=  

2

1

​  

=0.5

​  

 

Michael's z-score is 0.50.50, point, 5. His grade was half of a standard deviation above the mean.

Example 2

The grades on a geometry midterm at Almond have a mean of \mu = 82μ=82mu, equals, 82 and a standard deviation of \sigma = 4σ=4sigma, equals, 4.

Michael scored 747474 on the exam.

Find the z-score for Michael's exam grade.

\begin{aligned}z&=\dfrac{\text{his grade}-\text{mean grade}}{\text{standard deviation}}\\ \\ z&=\dfrac{74-82}{4}\\ \\ z&=\dfrac{-8}{4}=-2\end{aligned}  

z

z

z

​  

 

=  

standard deviation

his grade−mean grade

​  

 

=  

4

74−82

​  

 

=  

4

−8

​  

=−2

​  

 

Michael's z-score is -2−2minus, 2. His grade was two standard deviations below the mean.

https://www.khanacademy.org/math/statistics-probability/modeling-distributions-of-data/z-scores/a/z-scores-review

this should help

6 0
3 years ago
Isosceles triangle has a line of symmetry
laiz [17]
What are you asking?
7 0
3 years ago
Read 2 more answers
O. Find the distance between P (10,-7) and Q (7,- 10). Leave your answer in radical<br> form.
mr Goodwill [35]

Answer:

\sqrt{18} or 3\sqrt{2} units.

Step-by-step explanation:

To find the <em>distance between two points</em>, we can use the Distance Formula.

Distance Formula: d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

<u />

<u>Given:</u>

P (10, -7) ⇒ x₁ = 10, y₁ = -7

Q (7, -10) ⇒ x₂ = 7, y₂ = -10

Substitute the given values into the formula and simplify.

\\\implies d=\sqrt{\bold{(7-10)}^2+\bold{(-10-(-7))}^2}\\\\\implies d=\sqrt{\bold{(-3)}^2+\bold{(-10+7)}^2}\\\\\implies d=\sqrt{9+\bold{(-3)}^2}\\\\\implies d=\sqrt{\bold{9+9}}\\\\\implies d=\sqrt{\bold{18}}\\\\\implies d=\sqrt{\bold{9}\times2}\\\\\implies d=3\sqrt{2}

The distance between points P and Q is \sqrt{18} or 3\sqrt{2} units.

Learn more here:

brainly.com/question/27991769

brainly.com/question/21095661

3 0
2 years ago
Read 2 more answers
Hey, another math question
Lena [83]

Answer:

Step-by-step explanation:

By adjacent interior angles theorem,

If a transversal line 'r' intersects two parallel lines 'm' and 'n' then the consecutive interior angles are supplementary.

a° + (3x - 18)° = 180°

a° = 180° - (3x - 18)°

By vertical angles theorem,

If two straight lines intersect each other at a point, opposite angles formed are equal in measure.

180° - (3x - 18)° = (5x - 10)°

(5x - 10) + (3x - 18) = 180

(5x + 3x) - (10 + 18) = 180

8x - 28 = 180

8x = 180 + 28

8x = 208

x = 26

3 0
3 years ago
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