Miguel has 22 cans of regular soda and 99 cans of diet soda. If he decides to sell it by package with the same number of regular soda and diet soda in one pack without leaving one, how many equal packages can he make? How many of regular soda and diet soda in one package?

Answers

Answer 1

Answer: 3 regular sodas and 1 diet

Answer 2

Answer:

Final answer:

The greatest common divisor (GCD) of 22 and 99 is 11. Therefore, Miguel can make 11 equal packages where each package has 2 cans of regular soda and 9 cans of diet soda.

Explanation:

This problem is about finding the greatest common divisor (GCD) of two numbers, also known as the greatest common factor. The number of packages Miguel can make, and the amount of regular and diet soda in each, depend on the GCD of 22 (number of regular soda) and 99 (number of diet soda).

To find the GCD, you can use the Euclidean Algorithm. However, it is easily observed in this case that 22 and 99 can both be divided exactly by 11, hence, 11 is the greatest common divisor. This means Miguel can prepare 11 packages where each package contains 2 cans of regular soda and 9 cans of diet soda.

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What is the solution to 7.5d=2.5d

Answers

Answer:

d = 0

Step-by-step explanation:

To find the solution to the given equation, we must solve for d in the equation.

7.5d = 2.5d

Subtract 2.5d from both sides.

5d = 0

Divide both sides by 5.

d = 0

So the solution to the equation would be d = 0.

I hope this helps. Happy studying.

Final answer:

The provided equation 7.5d=2.5d seems to be flawed as these quantities cannot be equal unless the variable 'd' is zero. Please double-check the equation.

Explanation:

The equation given is 7.5d=2.5d. However, this equation cannot be correct as 7.5d and 2.5d cannot be equal unless the variable 'd' equals zero. It seems that there's a typo or mistake in the provided equation. The solution could not be found as the equation seems to be flawed. Please double-check the equation and make sure the coefficients (the numbers before the 'd') and the variable 'd' are correct.

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What is the value of x to the nearest tenth?

Answers

Step-by-step explanation:

Hello!!!

Let'sworkoutwiththisfigure.

BCisachord,OisthecentreandOAistheperpendicularbisector.

AB=1/2ofBC(accordingtocircle'stheorem)

so,AB=1/2×25.6

Therefore, themeasureofABis12.8.

now,let'shaveasmallworkwithtriangleAOB.

asitisaRight angled triangle, takingangleBasrefrenceangleweget,

p=x

b=12.8

h=OB=16(itisalsoaradius.)

now,

byPythagorasrelationwe get,

$p = \sqrt{ {h}^(2) - {b}^(2) }$

or,x=root16^2-12.8^2

bysimplification, weget;

themeasureofxis9.6.

Therefore, thevalueofxis9.6.

Hope it helps...

two angles are supplementary. One of the angles has a measure of 60 degrees. What is the measure of the other angle?

Answers

Supplementary means the two angles add up to 180 degrees.
If one of them measures 60 degrees, then the other would be
180-60=120 degrees.

Answer:

120°

Step-by-step explanation:

Solve the system of equations.

6x - 5y = 15

X= y + 3

Answers

point form (1, -2)
equation form x=1, y=-2

What is decimal representation of 27/100

Answers

0.27 is the decimal representation of 27/100.

.27 or divide 27/100 and you get the same answer

Will mark brainliest, 60 points

Answers

Answer:

$\boxed{ \bold{ \sf{ \: 1. \: \: \: \: \: 198}}}$

$\boxed{ \bold{ \sf{2. \: \: \: \: \: - 8}}}$

$\boxed{ \bold{ \sf{ 3. \: \: \: \: \: (64)/(343) }}}$

Step-by-step explanation:

1. Given, u = 20 , x = 4 , y = 7 , z = 10

$\sf{ (u)/(z) + x {y}^(2) }$

⇒ $\sf{ (20)/(10) + 4 * {7}^(2) }$

⇒ $\sf{ (20)/(10) + 4 * 49}$

⇒ $\sf{ (20)/(10) + 196}$

⇒ $\sf{ (20 + 196 * 10)/(10) }$

⇒ $\sf{ (20 + 1960)/(10) }$

⇒ $\sf{ (1980)/(10) }$

⇒ $\sf{198}$

2. $\sf{4( - 2)}$

Multiplying or dividing a positive integer by any negative integer gives a negative integer

= -8

3. $\sf{( (4)/(7) ) ^(3) }$

⇒ $\sf{( \frac{ {4}^(3) }{ {7}^(3) } })$

⇒ $\sf{ (4 * 4 * 4 )/(7 * 7 * 7)}$

⇒ $\sf{ (64)/(343) }$

Hope I helped!

Best regards! :D

Answer:

$\Huge \boxed{\mathrm{18. \ \ \ 198}} \n\n\n \Huge \boxed{\mathrm{19. \ \ \ -8}} \n\n\n \Huge \boxed{\mathrm{20. \ \ \ (64)/(343) }}$

$\rule[225]{225}{2}$

Step-by-step explanation:

18.

$\displaystyle (u)/(z) +xy^2$

u = 20, x = 4, y = 7, and z = 10.

$\Rightarrow \displaystyle (20)/(10) +(4)(7)^2$

$\Rightarrow \displaystyle 2+(4)(49)$

$\Rightarrow 2+196$

$\Rightarrow 198$

19.

$4(-2)$

Rewriting.

$\Rightarrow -(4*2)$

Multiplying.

$\Rightarrow -8$

20.

$\displaystyle ( (4)/(7) )^3$

Distributing the cube sign to the numerator and the denominator.

$\Rightarrow \displaystyle (4^3 )/(7^3 )$

$\Rightarrow \displaystyle (64)/(343)$

$\rule[225]{225}{2}$

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