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sesenic [268]
2 years ago
7

Write your answer as a fraction or as a whole or mixed number. 27pts

Mathematics
1 answer:
statuscvo [17]2 years ago
4 0

<u>What we know</u>:

  • Bird feeder capacity:             -->  2 4/5 cups
  • Samantha's scoop capacity: -->  7/10 cups

<em>Lets first convert the mixed partial fraction --> improper fraction</em>

<em>        --> for easier calculation</em>

<em />

<u>After Conversion:</u>

  • Bird feeder capacity:             -->  14/5 cups
  • Samantha's scoop capacity: -->  7/10 cups

<u>To find how many scoops of birdseed will Samantha put into the feeder we must:</u>

  --> divide the total capacity by the scoop's capacity

       --> find the number of scoops:

<u>Solve:</u>

  Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4

Thus the total number of scoops that Samantha will put into the bird feeder is <u>4</u>

<u></u>

<u>Answer: 4</u>

<u></u>

Hope that helps!

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Represent the following sentence as an algebraic expression, where "a number" is the letter x.A number is subtracted from 2 .
Mariana [72]

In general, the statement 'a is subtracted from b' is written as

b-a

Therefore, 'A number is subtracted from 2' is written as,

2-x

The answer is 2-x

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1 year ago
Find the equation of a line parallel to y = x – 3 that contains the point (-2, 1).<br> Yeah
SashulF [63]

Answer:

The equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

  • y = x + 3

The graph of both the parallel equation is shown below to make you further understand the concept.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the equation

y = x - 3

comparing with the slope-intercept form of the line equation

Slope m = 1

<u>Important Tip:</u>

  • As the parallel lines never intersect, therefore, they have the same slopes.

Thus, the slope of the parallel line is also 1.

As the parallel line contains the point (-2, 1).

so substitute m = 1 and (-2, 1) in the slope-intercept form of the line equation to determine the y-intercept of the parallel line

y = mx+b

1 = 1(-2) + b        ∵ (x, y) = (-2, 1) and m = 1

1 = -2 + b

switch sides

-2+b = 1

add 2 to both sides

-2 + b + 2 = 1 + 2

simplify

b = 3

Thus, the y-intercept b of the parallel line is:  b = 3

now substitute b = 3 and m = 1 in the slope-intercept form of the line equation to determine the  equation of the parallel line

y = mx + b

y = (1)x + 3

y = x + 3

Therefore, the equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

  • y = x + 3

The graph of both the parallel equation is shown below to make you further understand the concept.

From the graph:

  • The green line represents the equation y = x - 3
  • The black  line represents the parallel equation y = x + 3

It is clear that both lines are parallel.

6 0
3 years ago
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6 0
3 years ago
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Please solve this for me!
Slav-nsk [51]

Answer:

  y = -1/6x +2

Step-by-step explanation:

The black vertical line in the middle of the graph is the y-axis. The blue line crosses it a the point marked 2. This is known as the y-intercept.

The slope of the line is the ratio of "rise" (vertical change) to "run" (horizontal change).

There is a marked point on the line at the y-intercept, where x=0 and y=2. There is another marked point to the right of that, where x=6 and y=1.

The vertical change between those two points is 1 -2 = -1.

The horizontal change between those two points is 6 -0 = 6

The slope is then -1/6.

__

The slope-intercept form of the equation of a line is often written as ...

   y = mx + b

where "m" is the slope (-1/6), and "b" is the y-intercept.

Using the values we found above, the equation of the line is ...

  y = -1/6x +2

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