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iris [78.8K]
3 years ago
7

Simplify each expression:5.) 4 4/5 + 3/4 × 2 1/4​

Mathematics
1 answer:
In-s [12.5K]3 years ago
8 0

Answer: 6 39/80

Step-by-step explanation:

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Find the coordinates of the point three tenths<br><br> of the way from A(-4, -8) to B(11, 7)
Leviafan [203]

let's first off take a peek at those values.

let's say the point with those coordinates is point C, so C is 3/10 of the way from A to B.

meaning, we take the segment AB and cut it in 10 equal pieces, AC takes 3 pieces, and CB takes 7 pieces, namely AC and CB are at a 3:7 ratio.


\bf ~~~~~~~~~~~~\textit{internal division of a line segment}&#10;\\\\\\&#10;A(-4,-8)\qquad B(11,7)\qquad&#10;\qquad \stackrel{\textit{ratio from A to B}}{3:7}&#10;\\\\\\&#10;\cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(-4,-8)=3(11,7)\\\\[-0.35em]&#10;~\dotfill\\\\&#10;C=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em]&#10;~\dotfill


\bf C=\left(\cfrac{(7\cdot -4)+(3\cdot 11)}{3+7}\quad ,\quad \cfrac{(7\cdot -8)+(3\cdot 7)}{3+7}\right)&#10;\\\\\\&#10;C=\left( \cfrac{-28+33}{10}~~,~~\cfrac{-56+21}{10} \right)\implies C=\left( \cfrac{5}{10}~~,~~\cfrac{-35}{10} \right)&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;~\hfill C=\left( \frac{1}{2}~,~-\frac{7}{2} \right)~\hfill

4 0
3 years ago
Dennis has 80 nickels and dimes that equal up to $6.60 how many of each coin did he have
Tasya [4]

Answer:

im really confused soryy that i cant help

4 0
3 years ago
A strand of lights has 50 bulbs and eight of them are burned out what is the ratio of total numbers of the bulbs to the bulbs th
Strike441 [17]

Answer:

B.50:8

Step-by-step explanation:

6 0
3 years ago
Maya works mowing lawns and babysitting. She earns $8.60 an hour for mowing and $7.80 an hour for babysitting.
anyanavicka [17]

Answer:

total of 46.6 dollars

Step-by-step explanation:

8.60x1= 8.60

5x7.80= 39

5 0
2 years ago
Brenda has two remote-controlled race cars painted blue and red, respectively.The blue car traveled 54 feet 4 secounds.The red c
Angelina_Jolie [31]

Answer:

The red car is faster compared to the blue car.

The red car is faster by 5.5 feet than the blue car.

Step-by-step explanation:

The objective is to find which car is  faster and by how much

Given that:

The blue car traveled 54 feet in 4 seconds; &

The red car traveled 38 feet in 2 seconds.

Let us determine the number of feet traveled in each second for both cases.

For the blue car:

In 1 second, the car will travel = 54/4 feet

In 1 second, the car will travel = 13.5 feet

For the red car:

In 1 second, the car will travel = 38/2 feet

In 1 second, the car will travel = 19 feet

Thus, the red car is faster compared to the blue car.

The distance at which the red car is faster than the blue car = 19 feet - 13.5 feet

= 5.5 feet

4 0
3 years ago
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