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Bess [88]
3 years ago
12

A yearbook page will show 20 photos displayed in rows.Each row must contain the same number of photos.How many different ways ca

n the photos be arranged.
Mathematics
1 answer:
gregori [183]3 years ago
5 0

Answer:

There are five different ways, in which we can arrange the photos.

Step-by-step explanation:

There are five  different ways to arrange the photos.

1. 5 photos in each 4 rows.

2. 4 photos in each 5 rows.

3. 2 photos in each 10 rows.

4. 10 photos in each 2 rows.

5. 20 photos in a single row.

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What is the slope and y intercept of -2x +3y=-9
attashe74 [19]

Answer:

m = 2/3

b = -3

Step-by-step explanation:

Rearrange the equation to slope-intercept form (y = mx + b).

x and y are points on the graph.

m is the slope.

b is the y-intercept.

Isolate "y". This means separating it from the other numbers.

-2x +3y = -9

-2x + 2x +3y = -9 + 2x    Add 2x to both sides

3y = 2x - 9

3y/3 = 2x/3 - 9/3      Divide both sides by 3

y = 2x/3 - 9/3      Simplify

y = (2/3)x - 3

Think about which numbers and "m" and "b" now that the equation is in y = mx + b. Include the plus and minus signs.

m = 2/3

b = -3

8 0
3 years ago
Least to greatest. 5 1/2,5 1/4,5 2/3,5 3/8. Please help
Ostrovityanka [42]
5 1/4, 5 3/8, 5 1/2, and 5 2/3
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Read 2 more answers
What is the factorization of 729^15+1000?
igomit [66]

Answer:

The factorization of 729x^{15} +1000 is (9x^{5} +10)(81x^{10} -90x^{5} +100)

Step-by-step explanation:

This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form (a^{3} +b^{3} ) or (a^{3} -b^{3}). It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of 729x^{15} +1000 by using the <em>sum and difference of cubes </em>factorization.

1.) We calculate the cubic root of each term in the equation 729x^{15} +1000, and the exponent of the letter x is divided by 3.

\sqrt[3]{729x^{15}} =9x^{5}

1000=10^{3} then \sqrt[3]{10^{3}} =10

So, we got that

729x^{15} +1000=(9x^{5})^{3} + (10)^{3} which has the form of (a^{3} +b^{3} ) which means is a <em>sum of cubes.</em>

<em>Sum of cubes</em>

(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})

with a= 9x^{5} y b=10

2.) Solving the sum of cubes.

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)

.

8 0
3 years ago
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