The quantity of sugar required for 2/4 of the recipe is 1/3 cups
<h3>How to solve fraction?</h3>
let
- x = quantity of sugar needed
Ratio of sugar to recipe
2/3 : 1 = x : 2/4
2/3 ÷ 1 = x ÷ 2/4
2/3 × 1/1 = x × 4/2
2/3 = x × 2
2/3 = 2x
x = 2/3 ÷ 2
x = 2/3 × 1/2
= 2/6
x = 1/3 cups
Therefore, the quantity of sugar required for 2/4 of the recipe is 1/3 cups
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Answer:
140
Step-by-step explanation:
When working HCF and LCM problems, I like to think in terms of this little diagram:
(a [ b ) c]
It shows me one of the numbers is ab, the other is bc, the HCF is b and the LCM is abc. "a" and "c" must be relatively prime for "b" to be the HCF.
__
Here, we're given ...
b = 20
ab = 320
abc = 2240
Then ...
c = abc/(ab) = 2240/320 = 7
x = bc = 20(7) . . . . . . equivalently, x = (abc·b)/(ab) = (2240·20)/320
x = 140
Answer:
the graph in the attached figure
Step-by-step explanation:
we have

isolate the variable y
Subtract 7x both sides


Divide by 3 both sides

The solution of the inequality is the shaded area below the dashed line
The equation of the shaded line is 
The slope of the dashed line is negative 
The y-intercept of the dashed line is the point 
The x-intercept of the dashed line is the point 
To graph the inequality plot the intercepts and shade the area below the dashed line
using a graphing tool
the graph in the attached figure
K = 10
I think. I’m not positive sure though. Hope this helped!
Mathematics is math, geometry, algebra, calculus