Answer:
10) x=9
11) x=25
Step-by-step explanation:
a triangle is 180º total
10) 2x+8x+90=180
10x=90
x=9
11) 3x+1+2x+2+2x+2=180
7x+5=180
7x=175
x=25
1/2*3*4=6
Explanation:
The height is 3 cm and the base is 4cm.
I believe 5 is there to trick you. The bottom Is always the base and the straight line going vertically is always the height.
1/2*3*4=6
1 quart ---- 2 pints
24 quarts -x
x=24*2/1=48 pints
or
24quarts*(2 pints/1 quart)=48 pints
Answer:
Step-by-step explanation:
This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.
The form that the parabola is currently in is
so that means that
. We can use that to solve for p in the formula
so
which simplifies to
which gives us that
p = 2. Now to find the directrix:
y = k - p becomes
y = 0 - 2 so
y = -2, choice A.
Answer:
the price of each soda is $1.75
Step-by-step explanation:
Notice that there are two unknowns; the price of each soda (let's assign the letter "s" to it), and the price of the basket of fries 9let's assign the letter "b" to it)
We can then write two equations using the information on the total price for each order:
(a) 4 s + 4 b = 16
(b) 4 s + 3 b = 13.75
we can now subtract term by term equation (b) from equation (a), and obtain:
4 s - 4 s + 4 b - 3 b = 16 - 13.75
0 + b = 2.25
So now that we know the price of each basket of fries ($ 2.25) , we can use that info in either equation and solve for "s". Let's use equation (a) for example:
4 s + 4 (2.25) = 16
4 s + 9 = 16
4 s = 16 - 9
4 s = 7
s = 7/4
s = 1.75
So, the price of each soda is $1.75