Surface area of the pyramid= 4*(area of the triangle) + area of the square
Area of the triangle = (1/2)*base*height=(1/2)*5*5= 25/2 in²
Area of the square = 5*5 =25 in²
Surface area of the pyramid = 4*(25/2) + 25=2*25 + 25=75 in²
When you triple the height of the box, it can hold (900 x 3) = 2,700 pieces.
Then triple its length, and it can hold (2,700 x 3) = 8,100 pieces.
Then triple its width, and it can hold (8,100 x 3) = 24,300 pieces.
When you triple the dimensions of a 3D object, it has 27 times its original volume. (900 x 27) = 24,300 .
Answer:
A number line with an open circle on 2, a closed circle on 6, and shading in between
Step-by-step explanation:
Given:
3x+1 > 7 → inequality A
4x ≤ 24 → inequality B
Step 1
Solve inequality A
3x+1>7
3x>7-1
x>2
the solution is the interval------> (2,∞)
Step 2
Solve inequality B
4 x ≤ 24
4 ≤ 6
the solution is the interval------> (-∞,6]
Step 3
Find the solution of the compound inequality
Solution A ∩ Solution B
(2,∞) ∩ (-∞,6]=(2,6]
therefore
The answer is A number line with an open circle on 2, a closed circle on 6, and shading in between
Answer:
$12
Step-by-step explanation:
assuming that the cost of delivery is constant irrespective of the number ordered
Let the cost of sandwich be x
First office
$33=4x+c where c is the cost of delivery
Second office
$61=8x+c
These two are simultaneous equation. Subtracting the equation of first office from the second office we obtain
4x=28
Therefore, x=28/4=7
The cost of delivery is 33-(4*7)=33-28=5
Therefore, one sandwich plus delivery costs 7+5=$12
