Answer:
The daily value for saturated fat is 20g.
Step-by-step explanation:
Percentage problems can be solved by rule of three
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
A percentage problem is an example where the relationship between the measures is direct.
The problem states that 1g is 5% of the daily value for saturated fat. The daily value(100%) for saturated fat is x, so:
1g - 5%
xg - 100%
5x = 100
x = 20g
The daily value for saturated fat is 20g.
What we know:
3.14 pi
radius: 7in.
Result units: in^3, this is the results of in used for radius; no conversion needed
Formula volume of a sphere: (4/3)* pi * r^3
(4/3)(3.14)(7)(7)(7)
(4/3)(3.14)(343)
(4/3)(1077.02)
(1.3)(1077.02) \\repeated 3 infinite
1436.026666\\repeated 6inf
The volume of the sphere is about 1436.0266 in^3
3x + 1 = y
2x + 3y = 14
To solve this system of equations, we are going to use the substitution method. Substitution the equation where the variable is isolated into the second equation. In this system of equations, y is isolated, so we will replace y in the second equation with 3x + 1.
2x + 3y = 14
2x + 3(3x + 1) = 14
2x + 9x + 3 = 14
We will add the like terms and subtract 3 from both sides of the equation.
11x + 3 = 14
11x = 11
x = 1
In this system of equations, x is equal to 1. Now we will go back and solve for y, plugging in 1 for x.
3(1) + 1 = y
2(1) + 3y = 14
3 + 1 = y
2 + 3y = 14
4 = y
3y = 2
4 = y
4 = y
The solution to this system of equations is (1, 4).
<h3>47 × 63 = <u>2961</u></h3>
<h3>... Hope this will help... </h3>
<h3>U can also verify the answer using a calculator </h3>
