Answer:
120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.
Step-by-step explanation:
We are given that a candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate.
Let the amount of 30% fat-content chocolate be 'x' and the amount of 40% fat-content chocolate be 'y'.
So, according to the question;
x + y = 150 ------------ [equation 1]
and 
x = 120 kg
Now, putting the value of x in equation 1, we get;
x + y = 150
120 + y = 150
y = 30 kg
Hence, 120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.
Answer:
<h2>6.5</h2>
Step-by-step explanation:
Given the sum of the series represented as 
. <u>To get the sum to infinity of the geometric series, we need to get its first term and its common ratio</u>. comparing to the general term of the sum of series of a GP 
a = first term of the series
r = common ratio
On comparing to the given series, a = 1.3 and r = 0.8
Sum to infinity of a Geometric series is expressed as:
Answer:
x + 8 + 12 + 11 = 43
Step-by-step explanation:
The perimeter is the length of the 4 sections of fencing.
If x represents the fourth section and the perimeter is 43, then
x + 8 + 12 + 11 = 43, that is
x + 31 = 43 ( subtract 31 from both sides )
x = 12
The length of the fourth section is 12 ft
Answer:
x=2
Step-by-step explanation:
5x−1=2x+5(Possibility 1)
5x−1−2x=2x+5−2x(Subtract 2x from both sides)
3x−1=5
3x−1+1=5+1(Add 1 to both sides)
3x=6
3x
3
=
6
3
(Divide both sides by 3)
Answer:
D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.
Step-by-step explanation:
The coordinates of triangle A are (-2,1) , (1,1), (1,-1) and (-2, -1) while that of triangle B are (-3, 6), (3, 6), (3, -3) and (-3, 3).
To transform A to be we need a combination of two transformations, and that is dilation and rotation.
If A is dilated by a scale factor three through the origin as the center of dilation and then rotated through 90° clockwise with the origin as the center of origin, then rectangle B will be obtained.
