Answer:
Step-by-step explanation:
Given
The length of a cuboid is
breadth is
Total surface area is
Surface area is given by
Insert the values
a theater has 144 seats. the theater sells tickets for $6 per adult and $4 per child
Let x be the number of adult tickets
and y be the number of child tickets
Total number of tickets sold is 144
x + y = 144 -----------> equation 1
the theater sells tickets for $6 per adult and $4 per child and earned $660
6x + 4y = 660 ----------> equation 2
Solve for x and y
x + y = 144
y = 144 - x
Now plug it in second equation
6x + 4y = 660
6x + 4(144 - x) = 660
6x + 576 -4x = 660 (combine like terms)
2x + 576 = 660 (subtract 576 from both sides)
2x = 84 (divide by 2)
x= 42
Number of adult tickets = 42
y = 144 - x
y = 144- 42= 102
Number of child tickets = 102
Answer:
132 tiles
Step-by-step explanation:
Each tile cost $4
The adhesive/grouting material costs $17.82.
If the contractor pays a total of $545.82
Let the number of tiles be represented as x
The equation is represented as:
$17.82 + $4 × x = $545.82
17.82 + 4x = 545.82
Collect like terms
4x = 545.82 - 17.82
4x = 528
Divide bother sides by 4
4x/4 = 528/4
x = 132
The number of ceramic tiles the contractor bought = 132 tiles
Answer:
x=5
Step-by-step explanation:
Formulate and substitute:d=4v
Rearrange unknown terms to the left side of the equation: 4x=27-7
Calculate the sum or difference: 4x=20
Divide both sides of the equation by the coefficient of variable: x=20÷4
Calculate the product or quotient: x=5
So the Answer is: x=5
Answer:
i-2.4j
Step-by-step explanation:
Given that,
The surface of a mountain is modeled by the equation as follows :
A mountain climber is at the point (500, 300, 4390).
We need to find the direction in which he should move in order to ascend at the greatest rate.
To find direction, first finding the gradient of h as follows :
Now put x = 500 and y = 300
So,
The direction of the climber is i-2.4j