SOLUTION - GIVEN = Sara has two bag with 60% & 28% peanut.
prove = How much the peanut is used to make 10 pound of 45%
peanut.
TO PROOF - Assume that
let x be the value of the peanut used by sara from the bag
60% peanut bag.
let ( 10 - x) be the value of peanut used by sara from 28% peanut
bag.
as given the bag become of the 10 pound which contain
45% of peanunt.
thus we have
0.60x + 0.28 ( 10 - x ) = 0.45 (10)
0.60x + 0.28 ( 10 -x ) = 4.5
0.60x + 2.8 - 0.28 x = 4.5
0.60x - 0.28x = 4.5 - 2.8
0.32x = 1.7
x = 5.3125 peanut is taken from the 60% bag.
& 4.6875 peanut from the 28% bag.
Answer:
{2, 5, 11}
Step-by-step explanation:
First, 110 = 2 * 55
Next, 55 = 5 * 11
Thus, the prime factors of 110 are {2, 5, 11}
Answer:
D 28x+40
Step-by-step explanation:
To find the perimeter, we add all the sides
2x+2x+5x+8+4x+10+5x+8+x+2+2x+7x+12 = P
Combine like terms
2x+2x+5x+4x+5x+x+2x+7x+10+8+8+2+12
28x +40
Answer:
Option A - 32 cm³
Step-by-step explanation:
Volume of a pyramid is given by the formula :
V = 
Substituting values given gives us :
V = (4)(4)(6)/3
V = (16)(6)/3
V = 96/3
V = 32
Units will be cm³ as this is volume
Hope this helped and have a good day
To solve this problem you must apply the proccedure shown below:
1. You have that the formula for calculate the area of a triangle is:
A=bh/2
Where A is the area of the triangle, b is the base of the triangle and h is the height of the triangle.
bh/2=124
bh=124x2
bh=248
2. The problem asks for the new area of the triangle <span>if its base was half as long and its height was three times as long. Then, you have:
Base=b/2
Height=3h
3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:
A'=bh/2
(A' is the new area)
A'=(b/2)(3)/2
A'=3bh/4
4. When you substitute bh=248 into </span>A'=3bh/4, you obtain:
<span>
A'=186 units</span>²
<span>
The answer is: </span>186 units²
