Answer/Step-by-step explanation:
Note:
<u>Graphing From An Equation: </u>
Equation are frequently written in slope-intercept form { y = mx+b}.
Which "m" represents the slope and "b" represents the y-intercept.
<u>Solutions and Equation:</u>
Solutions to linear equations contain any points located on the graphed line.
Ordered Pair = Solution to an equation if it's values are substituted in the equation which makes it true
Solve:
{x = 0 } 3(0) - 4y = 12
-4y = 12 (0, -3 )
-4y/-4 = 12/-4
y = -3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
{y = 0} 3x-4(0) =12
3x = 12 (4,0)
3x/3 = 12/3
x = 4
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
<u><em>~Lenvy~</em></u>
Answer:
three hundred and eight five twenty sevenths
Answer:
You should make 250 quarts of Creamy Vanilla and 200 of Continental Mocha to use up all the eggs and cream.
Step-by-step explanation:
This problem can be solved by a first order equation
I am going to call x the number of quarts of Creamy Vanilla and y the number of quarts of Continental Mocha.
The problem states that each quart of Creamy Vanilla uses 2 eggs and each quart of Continental Mocha uses 1 egg. There are 700 eggs in stock, so:
2x + y = 700.
The problem also states that each quart of Creamy Vanilla uses 3 cups of cream and that each quart of Continental Mocha uses 3 cups of cream. There are 1350 cups of cream in stock, so:
3x + 3y = 1350
Now we have to solve the following system of equations
1) 2x + y = 700
2) 3x + 3y = 1350
I am going to write y as function of x in 1) and replace it in 2)
y = 700 - 2x
3x + 3(700 - 2x) = 1350
3x + 2100 - 6x = 1350
-3x = -750 *(-1)
3x = 750
x = 250
You should make 250 quarts of Creamy Vanilla
Now, replace it in 1)
y = 700 - 2x
y = 700 - 2(250)
y = 700 - 500
y = 200.
You should make 200 quarts of Continental Mocha
105 different outfits can wear on an individual day
<em><u>Solution:</u></em>
I have 7 button down shirts, 5 pairs of pants and 3 pairs of shoes that I can wear to work
To find: Number of different outfits can I wear on an individual day
First he has to decide on a pair of pants and he has 5 different choices
For each of those choices he has a choice of 7 different button down shirts, so that gives him 5 x 7 = 35 different pant/shirt combinations
For each of those 35 different pant/shirt combinations, he has 3 pairs of shoes he could select, so altogether he has 35 x 3 = 105 different outfits
In short we can say,
different outfits = 7 x 5 x 3 = 105
So there 105 different outfits can wear on an individual day
Answer:
A. the area of the large pond is 16 times the area of the small pond
Step-by-step explanation:
let's say 4 is the radius of the small circle, which means the area is 50.26548
if the large circle is 4 times the small circle, that means it's radius is 16 which means the area is 804.24772
so if you divide the big circle area by the small circle area:
804.24772/50.26548
it gives you 16.00000079577 which is rounded to 16
therefore, the bigger circle is 16 times bigger than the smaller circle
