What rational number represents a drop of 4 1/4 in?Enter your answer in the box.

Mathematics

2 answers:

valina [46]2 years ago

7 0

Answer:

this is your answer

Step-by-step explanation:

this is your answer

aalyn [17]2 years ago

6 0

Answer:

The fraction 1/4 is a rational number.

It stands for the ratio between the integers 1 and 4.

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What is the slope intercept of the equation of the line through the given point (0,3) and (-4,-1)

cestrela7 [59]

Answer:

y=x+3

Step-by-step explanation:

1.) Find slope

slope = (-1-3)/(-4-0)

= -4/-4

= 1

2.) Use point slope form

both x1 and y1 are the points

m is the slope

3.) Plug in the numbers

for the points I chose (0,3) to plug in

y-3= 1 (x1-0)

y-3= x

y= x+3

8 0

3 years ago

Point A is located at (5, 10) and point B is located at (20, 25).

Alla [95]

Let's say the point is C, so C partitions AB into two pieces, where AC is at a ratio of 3 and CB is at a ratio of 7, thus 3:7,

$\bf \left. \qquad \right.\textit{internal division of a line segment}
\\\\\\
A(5,10)\qquad B(20,25)\qquad
\qquad 3:7
\\\\\\
\cfrac{AC}{CB} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(5,10)=3(20,25)\\\\
-------------------------------\\\\
{ C=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\
-------------------------------$

$\bf C=\left(\cfrac{(7\cdot 5)+(3\cdot 20)}{3+7}\quad ,\quad \cfrac{(7\cdot 10)+(3\cdot 25)}{3+7}\right)
\\\\\\
C=\left( \cfrac{35+60}{10}~~,~~\cfrac{70+75}{10} \right)\implies C=\left(\cfrac{95}{10}~~,~~\cfrac{145}{10} \right)
\\\\\\
C=\left( \cfrac{19}{2}~~,~~\cfrac{29}{2} \right)\implies C=\left( 9\frac{1}{2}~~,~~14\frac{1}{2} \right)$

8 0

3 years ago

Tonia and trinny are twins. Their friends give them identical cakes for their birthday. Tonia eats 1/8 of her cake and trinny ea

Nikitich [7]

Answer:

$\frac{7}{12}$ of the cake