Sam has 12 black and white photos and 18 color photos.he wants to put the photos in equal rows so each row has either black and white photos only or color photos only. in how many rows can Sam arrange the photos

Answers

Answer 1

Answer: The question is asking us to determine the number of rows in which Sam can arrange his 12 black and white and 18 color photos. Sam wants to put them in the equal rows so that each row has either black and white photos only or color photos only. We have to find the GCF ( the Greatest Common Factor ) of 18 and 12. GCF ( 18, 12 ) = 6. So there should be 6 photos in each row if they have to be equal ( the equal number of photos in every row ). 18 = 6 * 3 and 12 = 6 * 2. Therefore the number of the rows is : 3 + 2 = 5. Answer: Sam can arrange his photos in 5 rows.

Answer 2

Answer:

Step-by-step explanation:

First you have to find the GCF (greatest common factor) and the GCF is 6

Then you have to multiply 3×6 = 18, 2×6 = 12

Next add 3 + 2 = 5 because I added the first digits of the multiplying thinge

Write it like this (if you want):

Sam can arrange his photos in 5 rows

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Solve for x: ( sqrt 7) ^ 6x = 49 ^ (x-6)

Answers

$(√(7))^(6x)=49^(x-6) \n(7^(1)/(2))^(6x)=(7^2)^(x-6) \n7^{(1)/(2) * 6x}=7^(2(x-6)) \n7^(3x)=7^(2x-12) \n3x=2x-12 \n3x-2x=-12 \nx=-12$

The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,

⇒ x = 8

We have to given that,

An expression to simplify,

⇒ (√7)ˣ = 49ˣ⁻⁶

Now, We can simplify the expression for x as,

⇒ (√7)ˣ = 49ˣ⁻⁶

Since, 49 = 7² = (√7)⁴

Hence,

⇒ (√7)ˣ = (√7)⁴)ˣ⁻⁶

Apply the multiply rule in exponent,

⇒ (√7)ˣ = (√7)⁴ˣ⁻²⁴

By comparing,

⇒ x = 4x - 24

Solve for x,

⇒ x - 4x = - 24

⇒ - 3x = - 24

⇒ 3x = 24

⇒ x = 24 / 3

⇒ x = 8

Therefore, The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,

⇒ x = 8

Learn more about the equation visit:

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Yasmine is serving ice cream with the birthday cake at her party.She has perchased 19 1/2 pints of ice cream.She will serve 3/4 of a pint to each guest. How many guests can be served ice cream? Will there be any ice cream left?Justify your thinking

Answers

The number of guests that will be served ice cream is 26 guests and there will be no ice cream left.

The total number of ice cream purchased by Yasmine at her party is:

$\mathbf{=19 (1)/(12) \ pints}$

If each guest gets served with 3/4 pints, then the number of guests that will receive the shared amount of pints is:

$\mathbf{= (3)/(4) \ pints}$

∴

The number of guests that can be served ice cream now is:

$\mathbf{= (19 (1)/(12) \ pints)/( (3)/(4) \ pints)}$

$\mathbf{= ( (39)/(2) \ pints)/( (3)/(4) \ pints)}$

$\mathbf{= { (39)/(2) }* { (4)/(3)}}$

$\mathbf{= { (13)/(1) }* { (2)/(1)}}$

= 26 guests

Therefore, we can conclude that the number of guests that will be served ice cream is 26 guests and there will be no ice cream left.

Learn more about fractions here:

brainly.com/question/18134643?referrer=searchResults

If you know your mathematics you should soon find out that 26 people can enjoy 3/4 pints of ice cream. There will be no ice cream left for anyone else.:-)

What is the slope of this graph?

Answers

Answer:

-1

Step-by-step explanation:

It's going down so it's a negative, and it's going down one square unit at a time so just 1.

The vertex of this parabola is at (4, -3). When the x-value is 5, the y-value is -6. What is the coefficient of the squared expression in the parabola s equation?

Answers

$The\ vertex\ form:y=a(x-k)^2+h\n\nwhere\ (k;\ h)\ \ are\ coordinates\ of\ vertex\n------------------------\ny=a(x-4)^2-3\n\nthe\ point\ on\ parabola\ (5;-6)\nPut\ x=5\ and\ y=-6\ to\ equation:\n\na(5-4)^2-3=-6\na(1)^2=-6+3\na=-3\n\nAnswer:y=-3(x-4)^2-3=-3(x^2-8x+16)-3\n\n=-3x^2+24x-48-3=-3x^2+24x-51$