Answer: Surface area is equal to 200
Volume is equal to 333.33
Step-by-step explanation:
First, let's do surface area.
The surface area of a pyramid is equal to 1/2(perimeter of base)(lateral height) + area of the base
The perimeter of the base is 10(4) = 40; as the base is a square with a side length of 10.
The lateral height is given as 5 cm.
The area of the base is 10(10) = 100.
We can plug those numbers into the equation to get 1/2(40)(5) + 100, which comes out to be 200.
Now for volume.
The volume of a pyramid is equal to 1/3(area of the base)(height).
We already have the area of the base, which is 100.
The height is given as 10 cm.
Plugging those numbers into the equation, we get 1/3(100)(10), which is 1000/3 or about 333.33.
Hope this helps!
Answer: packages of buns: 100
packages of patties: 67
jars of pickles: 133
(100,67,133)
Step-by-step explanation: packages of buns: B
packages of patties: P
jars of pickles: J
B:P:J = 3:2:4
B + P + J = 300
Let x be the number we must multiply the numbers to obtain the quantity and keep the ratio.
Bx + Px + Jx = 300
3x + 2x + 4x = 300
x = 300/9
So,
3.300/9 = 100
2.300/9 = 66.6666
4.300/9 = 133.333
As we cannot buy 0.666 or 0.33 of patties and pickles, we round up
So: packages of buns: 100
packages of patties: 67
jars of pickles: 133
Answer:the number of children tickets that were sold is 30.
the number of adult tickets that were sold is 70
Step-by-step explanation:
Let x represent the number of children tickets that were sold.
Let y represent the number of adult tickets that were sold.
The movie theater sells a total of 100 tickets. This means that
x + y = 100
The theater charges $6 per child's ticket and $10 per adult's ticket. The movie theater made a total of $880. It means that
6x + 10y = 880 - - - - - - - - - - -1
Substituting x = 100 - y into equation 2, it becomes
6(100 - y) + 10y = 880
600 - 6y + 10y = 880
- 6y + 10y = 880 - 600
4y = 280
y = 280/4 = 70
x = 100 - y = 100 - 70
x = 30
An absolute value is positive value of any value. So the abs value of -28 is 28. The abs value of 67 is 67. Makes sense?
If it were |27-3| for example, treat the inside of a abs as parenthesis, so you must complete PEMDAS inside of it to reduce the equation to |24|, unless you wanted it to become |27| - |3|.
For functions, this becomes slightly different and more difficult, especially when adding a variable such as x. Look below for a sample equation.
|2x-3|=1
This equation will actually have (and most others) 2 solutions for x. To find these, you’ll need to multiply the inside of the abs by -1 for one equation, and leave it as it is for the other!
2x-3=1 -(2x-3)=1
Now you have to solve BOTH equations to get your correct x-value answers.
For the first listed equation:
2x=4
x=2
For the second listed equation:
-2x+3=1
-2x=-2
x=-1
So you get the x-values -1 and 2 which both make the parent function true!
Answer:
5 feet
Step-by-step explanation:
The statue is 2 inches tall and 1 inch=2.5
Multiply 2.5 by 2 for a 2 inch statue
2.5×2=5
