Answer:
6
Step-by-step explanation:
24/4=6
Answer:
The total number of voters was 7488
Step-by-step explanation:
Let us solve this question using the ratio method
∵ The ratio of yes votes to no votes was 4 to 5
∵ There were 4160 no votes
∵ We need to find the total number of votes
∵ The total of the ratio = 4 + 5 = 9
→ By using the ratio method
→ YES : NO : Total
→ 4 : 5 : 9
→ x : 4160 : y
→ By using the cross multiplication
∵ 5 × y = 4160 × 9
∴ 5y = 37440
→ Divide both sides by 5 to find y
∵ 
= 
∴ y = 7488
∵ y represents the total number of voters
∴ The total number of voters was 7488
Answer:
10 ft by 12 ft
Step-by-step explanation:
This problem requires you to first write an equation to represent the situation. Here we will represent the shorter side of the doghouse with the variable x, the longer side will be represented with x+2 because it is 2 feet longer.
48 = x * (x+2)
This represents the area of the doghouse as the product of the width and length of the doghouse.
48 = x^2 + 2x
Now, we need to move all the items onto one side of the equals sign, it is best to have the x^2 be positive.
0 = x^2 + 2x - 48
Now, we factor to find what x equals.
0 = (x-6) * (x+8)
From here, we can use each of the terms in parentheses to solve for x.
0 = x-6
x = 6
0 = x+8
0 = -8
Here we know that the shorter side has to be 6 ft because length is a positive number, and we can determine that the longer side is 8 ft because it is 2 ft longer. The dimensions of the slab are therefore 10 ft by 12 ft because the slab is 2 ft on each side, therefore adding an extra 4ft to the dimensions because the 2ft is added on each side.
Answer:
The rule could be an = 6*2^(n-1)
Step-by-step explanation:
If it is a geometric sequence
Fifth term a5 = a1 r^4 where a1 is the first term
a1 r^4 = 96
r^4 = 96/a1
2^4 = 16 and 96/16 = 6 so a1 could be 6
Check: 6*2^(5-1) = 6*2^4 = 96.
You will arrive at the destination at 12.30 PM. Yes, there is information that is not needed in the question.
Explanation:
- You leave at 8.00 AM and drive for 2 hours until 10.00 AM.
- At 10.00 AM you stop for
an hour (30 minutes) for lunch until 10.30 AM. - You drive for another hour until 11.30 AM.
- At 11.30 AM you make a 15 minute stop for gas until 11.45 AM.
- After 11.45 P.M, you then drive the last 45 minutes until 12.30 PM and reach your destination.
- It takes you 30 minutes to pack your car but this information is not needed to determine when you will arrive at your destination.
