Answer: 6 people ordered for the lobster dinner.
2 people ordered for the steak dinner.
Step-by-step explanation:
Let x represent the number of people that ordered the lobster dinner.
Let y represent the number of people that ordered the steak dinner.
A family of 8 went out to dinner. This means that
x + y = 8
Each person either ordered the lobster dinner, which costs $25, or the steak dinner which cost $20. The total cost of all the meals is $190. This means that
25x + 20y = 190 - - - - - - - - - -- -1
Substituting x = 8 - y into equation 1, it becomes
25(8 - y) + 20y = 190
200 - 25y + 20y = 190
- 25y + 20y = 190 - 200
- 5y = - 10
y = - 10/ - 5
y = 2
x = 8 - y = 8 - 2
x = 6
Answer:
irrational
Step-by-step explanation:
= 
· 
which is the same as 3
3 divided by 3 equals , which is irrational
In order for the triangle to be called an isosceles right triangle, it must satisfy both conditions: XZ and XY must be perpendicular to each other, and XZ = XY.
To determine whether two lines are perpendicular, their slopes must be negative reciprocals of each other.
Solving for the slopes of XZ and XY:
slope of XZ = (y₂-y₁) / (x₂-x₁) = (6-3)/(5-1) = 3/4
slope of XY = (y₂-y₁) / (x₂-x₁) = (3--1)/(1-4) = -4/3
-4/3 is the negative reciprocal of 3/4, therefore XZ and XY are perpendicular to each other.
Solving for distance:
XZ = √[(y₂-y₁)²+(x₂-x₁)²] = √[(6-3)²+(5-1)²] = 5
XY = √[(y₂-y₁)²+(x₂-x₁)²] = √[(3--1)²+(1-4)²] = 5
<span>The slope of XZ is 3/4, the slope of XY is -4/3, and XZ = XY = 5. </span>
Answer: 91.46m
Step-by-step explanation: The length of 100 yard football field in meters. From the dimension given, 1 yard = 3 feet Therefore, 100 yard = x feet 1 yard = 3 feet 100 yard = x feet X = (100 × 3) / 1 X = 300 feet. But, 1 meter = 3.28feet X meter = 300 feet X = (300 × 1) 3.28X = 91.46m Therefore, 100 yard football field is equal to 91.46m
Adding 3 and 5 equals 8, 3:5 represents the total number of people in the classroom
