It would be smaller because 11/12 = 22/24
1 drink 2/3 oj
12 drinks x
X= 2/3 • 12
X=24/3
X= 8 orange juice bottles
1 drink 1/4 pj
12 drinks X
X=12•1/4
X=12/4
X= 3 pineapple bottles
B. First off , standard form of a 2nd degree equation is Ax^2 + Bx + C. So look at the coefficient of Ax^2 which is -2.
If positive, the parabola opens up and has a minimum.
If negative, the parabola opens down and has a maximum.
A. To find the vertex (in this case maximum),
Graph the equation -OR—
make a table. — OR—
Find the zeroes and find the middle x-value
-2x^2 - 4x + 6
-2(x^2 +2x - 3 = 0
-2 (x - 1) ( x + 3)=0
x - 1 = 0. x + 3 = 0
x = 1. x = -3. So halfway would be at (-1, __).
Sub in -1 into original equation -2x^2 -4x + 6 … -2(-1)^2 -4(-1) + 6 = -2 +4 +6 = 8
So the vertex is (-1,8)
Answer:
14) 4x+10=8x-26 (corresponding angles are equal)
4x-8x=-26-10
-4x=-36
x= -36/-4= 9
x=9
15) perimeter of rectangle= 2(l+b)
2( l+ 
) = 40m
2l+ 
=40
Take LCM as 3
* 
+ =40
= 40
= 40
10l=40*3
10l = 120
l= 120/10 =12 cm
l=12cm
b= 2/3 *12 = 8cm
16) 2:3:4
It can be written as 2x+3x+4x
sum of angles of a triangle =180 degree
so 2x+3x+4x=180
9x=180
x=180/9=20 degree
1st angle=2x=2*20= 40 degree
2nd angle= 3x=3*20 =60 degree
3rd angle= 4x=4*20= 80 degree
17) sum of interior angles of a pentagon is 540 degree
so, 125+88+128+60+x=540 degree
401 +x= 540 degree
x=540-401= 139 degree
<em>Hope this helps</em>
<em>Please mark me as brainliest</em>
Answer:
1944 in³
Step-by-step explanation:
We are given;
Dimensions of a triangular prism;
- Base is 18 inches
- Length is 9 inches, and
- Length is 24 inches
We are required to determine the volume of the prism
To answer the question we need to know that the volume of a triangular prism is given by;
Volume = 0.5 × Width × height × Length
Therefore;
Volume = 0.5 × 18 in × 9 in × 24 in
= 1944 in³
Thus, the volume of the triangular prism is 1944 in³
