Answer:
200 grams
Step-by-step explanation:
Let us represent
The number of grams of
30% smarties = x
20% smarties = y
Hence:
x + y = 500
x = 500 - y
Hence:
30% × x + 20% × y = 24% × 500
0.3x + 0.2y = 120
Substitute 500 - y for x
Hence:
0.3(500 - y) + 0.2y = 120
150 - 0.3y + 0.2y = 120
Collect like terms
- 0.3y + 0.2y = 120 - 150
- 0.1y = -30
y = -30/0.1
y = 300
Solving for x
x = 500 - y
x = 500 - 300
x = 200
Hence,
The number of grams of
30% smarties = x = 200 grams
20% smarties = y = 300 grams
Therefore:
the mass of the 30% mix is required to make a 500 gram mixture that will have 24% Smarties by mass is 200 grams
Answer:
No solutions mean that the graphs don't intersect. There are two of them in this collection.
Answer:
D. V = l w h. 238 = l times 8 and one-half times 3 and one-half
Step-by-step explanation:
A prism has a volume of 238 cubic millimeters.
A prism has a length of l millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters.
Which is the correct substitution for finding the length of the prism?
A. V = l w h. 238 = l + 8 and one-half + 3 and one-half
B. V = l w h. V = 238 times 8 and one-half times 3 and one-half
C. V = l w h. l times 8 and one-half times 3 and one-half
D. V = l w h. 238 = l times 8 and one-half times 3 and one-half
From the question
V=lwh
Volume of a prism=length)(width)(height)
Volume=238
l= l mm
w= 8 1/2
h= 3 1/2
Substituting all the values
V=lwh
238= l * 8 1/2 * 3 1/2
D. V = l w h. 238 = l times 8 and one-half times 3 and one-half
Since you already know that x is equal to -5, you just need to plug it in to get y. You should get that y= -8.
(-5, -8)
Answer:
the answer Is D.2
Step-by-step explanation:
9 is greater than 7 by 2