Proportional relationships<span>: A </span>relationship<span> between two equal ratios. Proportions are the comparison of two equal ratios. Therefore, </span>proportionalrelationships<span> are </span>relationships<span> between two equal ratios. For example, oranges are sold in a bag of 5 for $2. The ratio of oranges to their cost is 5:2 or.</span><span>In mathematics, two variables are proportional if a change in one is always accompanied by a change in the other, and if the changes are always related by use of a constant multiplier. The constant is called the coefficient of proportionality or proportionality constant.</span>
Answer:
$25.56
Step-by-step explanation:
we are not told how much she spent for her lunch.
Answer:
(10, 3)
Step-by-step explanation:
Solve by Substitution
2x − 4y = 8 and 7x − 3y = 61
Solve for x in the first equation.
x = 4 + 2y 7x − 3y = 61
Replace all occurrences of x with 4 + 2y in each e quation.
Replace all occurrences of x in 7x − 3y = 61 with 4 + 2y. 7 (4 + 2y) − 3y = 61
x = 4 + 2y
Simplify 7 (4 + 2y) − 3y.
28 + 11y = 61
x = 4 + 2y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
11y = 33
x = 4 + 2y
Divide each term by 11 and simplify.
y = 3
x = 4 + 2y
Replace all occurrences of y with 3 in each equation.
Replace all occurrences of y in x = 4 + 2y with 3. x = 4 + 2 (3)
y = 3
Simplify 4 + 2 (3).
x = 10
y = 3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(10, 3)
The result can be shown in multiple forms.
Point Form:
(10, 3)
Equation Form:
x = 10, y = 3
save more has a better deal because when you convert 33% into a fraction out of ten it becomes 3.3/10 and shop right is 3/10 so 3.3 is greater than 3.
Answer:
$189.75
Step-by-step explanation:
Whenever you want to find the percent of something, you need to turn the percent into a decimal. In this case, we need to find 115% of the wholesale price because there is a markup, so the cost will be higher.
115% as a decimal is 1.15. Here is how the equation will be set up:
$165 • 1.15 = $189.75
No rounding is necessary for this problem because it is already to the nearest cent.
