Answer:
Step-by-step explanation:
y + 17 = -1(x + 3)
y + 17 = -x - 3
y = -x - 20
Step-by-step explanation:
×2+(y+3) 2=49
2×y=2y=2×3=6
49-2=47
2y=47-6=41
2y=41÷2=20 1/2
Answer:
P = 12m
A = 6m^2
Step-by-step explanation:
Perimeter is the sum of all the lengths of a shape. The lengths of the triangle are given as 3m, 4m, and 5m, so to find the perimeter we just need to add them all together. 3+4+5=12, so the perimeter of the triangle is 12m.
The area of a triangle is found by multiplying its height by its base and then dividing the result by 2. The height of the triangle is not given, but the side lengths (3,4 and 5) indicate that the triangle is a right triangle. This means we can use the middle length as the height and the shortest length as the base.
So, the height of the triangle is 4m, and the base is 3m, so to calculate the area:
(3x4)/2=12/2=6m^2.
The area of the triangle is 6m^2.
Hope this helped!
Answer:
<em>$4.15</em>
Step-by-step explanation:
Let the cost of a cheeseburger be x
Let the cost of a soft pretzels be y
If Mr. Smith goes to the concession stand and buys 2 soft pretzels and 1 cheeseburger for $8.25, this is expressed as;
x + 2y = 8.25 .... 1
Also, if Mr. Martin goes to the same concession stand and buys 1 soft pretzel and 3 cheeseburgers for $13.50, this is expressed as;
3x + y = 13. 50..... 2
The required equations are:
x + 2y = 8.25
3x + y = 13. 50
Find x and y by solving simultaneously:
From 1: x + 2y = 8.25
x = 8.25 - 2y ..... 3
Substitute 3 into 2
3(8.25-2y)+y = 13.50
24.75 - 6y+y = 13.50
24.75 - 5y = 13.50
-5y = 14.50 - 24.75
-5 y = 10.25
y = -10.25/-5
y = 2.05
Since x = 8.25 - 2y
x = 8.25 - 2(2.05)
x = 8.25 - 4.1
x = 4.15
<em>Hence the cost of a cheesburger is $4.15</em>
Answer:
315 (D)
Step-by-step explanation:
210/60 to get donuts per minute = 3.5 donuts per minute
3.5x90= 315
