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
![Equal\ Pieces = 6](https://tex.z-dn.net/?f=Equal%5C%20Pieces%20%3D%206)
![Children = 5](https://tex.z-dn.net/?f=Children%20%3D%205)
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.
![Share = \frac{Pieces}{Children}](https://tex.z-dn.net/?f=Share%20%3D%20%5Cfrac%7BPieces%7D%7BChildren%7D)
![Share = \frac{6}{5}](https://tex.z-dn.net/?f=Share%20%3D%20%5Cfrac%7B6%7D%7B5%7D)
![Share = 1.2](https://tex.z-dn.net/?f=Share%20%3D%201.2)
See attachment for tape diagram
The tape diagram implies that:
![5 * 1.2 = 6](https://tex.z-dn.net/?f=5%20%2A%201.2%20%3D%206)
or
![\frac{6}{1.2} = 5](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B1.2%7D%20%3D%205)
or
![\frac{6}{5} = 1.2](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B5%7D%20%3D%201.2)
2x + y = 350
x + 2y = 475
3x + 3y = 825
x + y = 275
x = 275 - y
(plug back into first equation)
2(275 - y) + y = 350
550 - 2y + y = 350
550 - y = 350
-y =-200 or y = $200 (dog)
therefore, x = $75 (cats)
Check
2(75) + 200 = 350
75 + 400 = 475
HAPPINESS! :)
Answer:
Only 10 base units to learn
Step-by-step explanation:
The metric system is a decimal based system developed to be universally acceptable by making use of base units from obtained from nature and the use of prefixes for multiples and submultiples of the base units, decimal ratios, which allows easy representation of quantities, as well as having a coherent structure of base and derived units which are obtained from the base units
During conversion in the metric system, which is decimal based, it is only required to move the decimal point
The prefixes which are used to specify multiples and submultiples are the same through out
The decimal system is based on the powers of ten
The number of base units to learn are 7 including; 1. Meter (m), 2. Kilogram (kg), 3. Second (s), 4. Ampere (A), 5. Kelvin (k), 6. Candela (cd), and 7. mole (mol)
Therefore the metric system has several advantages that include all of the following except; Only 10 base units to learn
3/12 of the mug is not blue or red
Answer:
6 laps
Step-by-step explanation:
According to the scenario, calculation of the data are as follows:
Each lap = 0.25 miles
Regan's plan to run= 1.5 miles
So, we can calculate number of laps by using following formula,
Number of laps = Total miles to run ÷ each lap miles
By putting the value, we get
Number of laps = 1.5 miles ÷ 0.25 miles
= 6 laps
So, she should run 6 laps.