20x + 25y = 345
How much more can Paul shovel in 1 minute than Melinda?
3 square feet per minute
6 square feet per minute
9 square feet per minute
15 square feet per minute
Answer: Hello mate!
we have the system of equations
30x + 30y = 450
20x + 25y = 345
where x is the number of square feet of snow that Melinda shovels in one minute, and y is the number of square feet of snow that Paul shovels in one minute.
Let's solve the system of equations, first, isolate one of the therms in the first equation, for example, x.
30x+30y = 450
x + y = 450/30 = 15
x = 15 - y
now we can replace it in the second equation and solve it for y.
20x + 25y = 345
20(15 - y) + 25y = 345
300 - 20y + 25y = 345
5y = 45
y = 45/5 = 9
Paul can shovel 9 square feets of snow in one minute, now replace it in the first equation and solve it for x.
x + y = 450/30 = 15
x + 9 = 15
x = 15 - 9 = 6
so melinda sholves 6 square feet of snow in one minute.
The question is:
How much more can Paul shovel in 1 minute than Melinda?
We need to see the difference y - x = 9 - 6 = 3
this means that paul shovels 3 more square feet per minute than Melinda.
Answer:
Height ( h) = 12 units.
Step-by-step explanation:
Given : An equilateral triangle with side = 8 √3.
To find : What us the length of the altitude of the equilateral triangle .
Solution : We have given equilateral triangle with side = 8 √3.
By taking the half triangle,
By the Pythagorean theorem :
(Hypotenuse)² = ( adjacent)² + (opposite)².
Plug the values Hypotenuse = 8√3 , adjacent = 4√3 , opposite = h.
(8√3)² = ( 4√3)² + (h)².
192 = 48 + (h)².
On subtracting by 48 both sides.
192 -48 = (h)².
144 = (h)².
On taking square root .
h = 12 .
Therefore, Height ( h) = 12 units.
The guy is right trust me mate
The image posted below
(6, 8). Substitute the numbers in for x and y and then solve the equation. The coordinates are (x, y).
Answer:
(6,8)
Step-by-step explanation:
3x y=-9
x-2y=-10
The expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.
It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The relationship between F and C is:
F = (9/5)C + 32
To convert temperature from degrees Celsius to degrees Fahrenheit for c:
Make the subject as C:
(9/5)C = F - 32
The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.
If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.
9C = 5(F - 32)
C = 5(F - 32)/9
Thus, the expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.
Learn more about the expression here:
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