Tabitha has 1/3 of a gallon of lemonade. She shares the lemonade equally with three friends. Select the equation that shows how to calculate the fraction of a gallon of lemonade that each friend gets.

Answers

Answer 1

Answer:

Answer:

$(1)/(12) \ gallon$

Step-by-step explanation:

-Let h denote the amount that each friend receives.

-The fraction, h, of each friend is obtained by dividing the total amount by the number of friends plus herself included:

$h=(Total \ Lemonade)/(Tabitha+3 Friends)\n\n=((1)/(3))/(4)\n\n=(1)/(3)* (1)/(4)\n\n=(1)/(12)\ gallon$

Hence, each friend gets a twelfth of a gallon( $(1)/(12)$ )

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The graph of g(x) contains the point (7,12). What point must be on the graph of the function f(x) if g(x) = 2f(x-3)+4? How do you solve for this?

Answers

first take out 2 as a factor
g(x) = 2[f(x-3)+2]

f(x-3) means a shift of +3 in the x direction
+2 means a shift of +2 in the y direction
2[f] means a stretch of scale factor 2 in the y direction

so (7+3, 2(12+2)) -> (10,28)

You need 1 1/4 cups of sugar to make 20 cookies.To make 14 cookies, you will need how many cups of sugar?

Where do I begin and how do I solve this? Please help!

Answers

Following are the calculation of cups of sugar:

Given:

$1 (1)/(4)$ cups sugar makes $20$ cookies

To find:

calculate cups of sugar in making 14 cookies.

Solution:

$1 (1)/(4)$ cups sugar makes $20$ cookies

Which applies:

$\to (5)/(4)$ cups sugar makes $20$ cookies

For 14 cookies calculating the total cups:

Assuming the cups of sugar=x

then

$\to x=(((5)/(4))* 14) / 20\n\n\to x=((70)/(4)) / 20\n\n\to x=( 17.5) / 20\n\n\to x=(17.5)/(20)\n\n\to x= 0.875$

Therefore, the final answer is "0.875".

Learn more:

brainly.com/question/1878843

5/4 cups - 20 cookies
x cups - 14 cookies

x=((5/4)×14)÷20=0.875=7/8

I need help , please

Answers

To determine which statement is true, first find the measure of the third interior angle. You can do that by subtracting the two known interior angle measures from 180, since interior angle measures of all triangles add to equal 180 degrees.

180 - 65 - 57 = 58

The measure of the third interior angle is 58°.

Now, the largest side of triangle is opposite its largest interior angle; that means the largest side of this triangle is the side opposite the angle that measures 65° - the side representing swim distance. This is true for the middle and smallest sides as well - they're opposite the middle and smallest interior angles. The following shows the sides from largest to smallest as they correspond to angle measures from largest to smallest.

65° = swim
58° = bike
57° = run

Now to finally determine which statement is true.
Statement A is false because run distance is the smallest distance of all three distances.
Statement B is false because, as we've said, run distance is the smallest distance.
Statement C is false because swim distance is greater than bike distance.

That means that the correct answer is D - the bike distance is greater than the run distance.

When graphing an inequality how do you know whether the line should be solid or dotted? plz go into detail and if you have a specific way your remember it plz help i need it for my final exam.

Answers

well, when it comes to graphing an inequality, and you need to know whether the line is solid or dashed, look at the inequality sign..... (i do not remember that exact terms) anyway, if it is JUST > or < then it is dashed, that is because you are not including that number, just any number greater than or less than it...

however, if it is Greater than or Equal to
or
less than or equal to
where these two are including that # by having the "or equal to", it will be solid for it is INCLUDING what ever # we are using...

for example

y > 3 will be dashed

where as y is greater than or equal to 3 will be solid since the y could be 3

i cant really explain this well... but i hope i made it somewhat clear

A section of wall is being framed, A model of the framingwork is shown below
Which best describes the relationship between the
125° angle and angle A?
They are same side interior angles, Angle A
measures 55
They are alternate interior angles, Angle A
measures 125,
1259
They are vertical angles. Angle A measures 125,
They are corresponding angles, Angle A measures
55