Number 4 is arithmetic explicit
Number 1 is arithmetic recursive
Number 2 is geometric explicit
Number 3 isgeometric recursive
Step-by-step explanation:
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction.
Step 3: Simplify the rational expression.
Step 4: Multiply any remaining factors in the numerator and/or denominator.
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction
Answer:
Length of rectangular cake = 5 cm
Breadth of rectangular cake = 6 cm
Area of rectangle = 5 cm × 6 cm =30 cm²
If cake is equally distributed between Honey and Money, then areas of two parts should be equal.
So, Amount of cake that Honey and money got
Share of each (Honey and Money)=15 cm²
So, if the third cake if it was cut diagonally ,the cake must have some height.
Let the height of cake be H.
So, Height of third cake
If , H=0 that is height is negligible having 0 thickness,
Then the Length of third cake, which is divided into two parts=√61=7.81 cm
<em><u>The system of equations that represents this situation are:</u></em>
q + p = 2
4q + 5p = 8
<em><u>Solution:</u></em>
Let q be the number of hours it took Courtney to walk from her house to the beach
Let p be the number of hours it took her to walk from the beach to the park
<em><u>The entire walk took 2 hours</u></em>
Therefore,
q + p = 2 ------- eqn 1
<em><u>The total distance Courtney walked was 8 kilometers</u></em>
Total distance = 8 km
Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour
Then walked from the beach to the park at a constant speed of 5 kilometers per hour
<em><u>Distance is given as:</u></em>
<em><u>From her house to the beach:</u></em>
<em><u>From the beach to the park:</u></em>
We know that,
Total distance = 8 km
Therefore,
4q + 5p = 8 ------ eqn 2
<em><u>Thus the system of equations that represents this situation are:</u></em>
q + p = 2
4q + 5p = 8
Just divide. 3/4 is 3 divided by 4= .75
75 hundredths is the same as 75%
20/100 20 divided by 100=.20 which is 20%
14 divided by 25 is .56, or 56%
1/5 is 1 divided by 5 = .20 or 20 %