Answer:
x=7 1/3
Step-by-step explanation:
Answer:
35 cm
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr²h
We want to find h for the given volume and diameter. First, we must convert the given values to compatible units.
1 L = 1000 cm³, so 99 L = 99,000 cm³
60 cm diameter = 2 × 30 cm radius
So, we have ...
99,000 cm³ = π(30 cm)²h
99,000/(900π) cm = h ≈ 35.01 cm
The oil is 35 cm deep in the drum.
Answer:
- short-term: $90,000
- long-term: $70,000
Step-by-step explanation:
Let x represent the amount borrowed on the short term. Then 160000-x is the amount of the long-term note. The total interest is ...
0.11x +0.08(160000-x) = 15500
0.03x + 12800 = 15500 . . . . simplify
0.03x = 2700 . . . . . . . . . subtract 12800
x = 2700/.03 = 90,000 . . . . short-term note
160,000 -90,000 = 70,000 . . . . long-term note
The short-term note was for $90,000; the long-term note was for $70,000.
Missing part of question:
Draw a tape diagram to show how much cake each of the five children received.
Answer:
See attachment
Step-by-step explanation:
Given


Required
Tape diagram to represent the scenario
Because one child is not hungry, the number of children to share the cake becomes 6.
So, first we calculate the share of each child.



See attachment for tape diagram
The tape diagram implies that:

or

or

Answer:
perimeter = 56 m
area= 196 m^2
Step-by-step explanation:
perimeter = 4 x sides = 4 x 35(2/5) = 4 x 14 = 56 m
area= sides^2 = (35 x
= 14^2 = 196 m^2