Answer:
x=10
y=-2
(10,-2)
Step-by-step explanation:
If X=10, we can put 10 in for x in the equation.
30 + 5y = 20
Next, we need to solve to find y.
We will get y on its own so we subtract 30 from 20 to get
5y=-10
We then know that 5 goes into -10 -2 times.
y=-2
Answer:
6
Step-by-step explanation:
Think of it as a ratio. The recipe calls for 2:3. If Jason used 4, then you need to match the other side.
4/2=2
So you need to multiply 3 by 2 to find the match.
3x2=6
The ratio is 4:6, so Jason uses 6 teaspoons of baking powder.
-hope it helps
Answer:
I believe the last answer is correct
Step-by-step explanation:
Both runners are gaining money
Hi! so you would find x by adding the corners up to 180 degrees.
steps:
Add the corners
90+(2x+1)+(5x+5)
7x+96=180
then subtract 96 from 180
you’d get 7x = 84
then divide 7 on both sides and get x=12
Answer:
98 ft²
Step-by-step explanation:
There are a couple of ways you can think about this one. Perhaps easiest is to treat it as a square with a triangle cut out of it. The cutout triangle has a base (across the top) of 14 ft and a height of 14 ft, so its area is ...
A = (1/2)(14 ft)(14 ft) = 98 ft²
Of course the area of the square from which it is cut is ...
A = (14 ft)² = 196 ft²
So, the net area of the two triangles shown is ...
A = (196 ft²) - (98 ft²) = 98 ft²
_____
Another way to work this problem is to attack it directly. Let the base of the left triangle be x. Then the base of the right triangle is 14-x, and their total area is ...
A = A1 + A2 = (1/2)(x ft)(14 ft) + (1/2)((14-x) ft)(14 ft)
We can factor out 7 ft to get ...
A = (7 ft)(x ft + (14 -x) ft)
A = (7 ft)(14 ft) = 98 ft²