Greg and George bought shoes at a local store. Greg bought one dress shoe and 4 sneakers and spent less than $400.
George bought one dress shoe and 6 sneakers and spent more than $400.
Inequality signs < and > denote less than and greater than respectively.
To solve the above inequalities in order to find x and y prices, a pair of solutions will be the result since linear inequalities with two variables will have a range of solutions
In other words, to find x and y for the inequalities we find a point (x,y) that satisfies the inequality.
Example: if the price of a dress shoe is $80 and the price of a sneaker is $60, it satisfies the system of inequalities for Greg and George since their shoe expenses stay below and above $400 respectively.
We could then say that the point (80,60) is one of the solutions to the inequalities.
We could graph the inequalities in order to find points on the graph that satisfy the inequalities. To graph the inequality we make the equation a linear equation x+4y=400 and plot a straight line in accordance to the inequality. All points above the line satisfy George's inequality and vice versa.
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Answer:
$13.64
Step-by-step explanation:
you need about 1853 sheets of paper which is
1853 ÷ 500, or 3.706 reams
if 1 ream costs $3.68 then 3.706 reams costs 3.706 × 3.68 or $13.64
Answers:
x = 24
y = 8√3
Explanation:
1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.
2) The variables given represent:
x: adjacent-leg to angle 30°
y: opposite length to angle 30°
3) sine ratio:
sin 30° = opposite-leg / hypotenuse = y / (16√3)
⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3
4) cosine ratio
cos 30° = adjacent-leg / hypotenuse = x / (16√3)
⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24
Answer:
A
Step-by-step explanation:
5 of the 150 want to take the cruise, so:
p = 5/150
p = 0.03
Answer A.
Answer:
mATHeMaTics is Very FUN
Step-by-step explanation:
When coding the word OUCH using the Bacon's code alphabet with binary numbers we have:
O=01110
U=10100
C=00010
H=00111
Following the rule of lowercase and uppercase letters in the dummy message we will have:
O U C H
0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1
m A T H e M a T i c s i s V e r y F U N