Answer:
<u>The correct answer is </u>
<u>C. k+d=130
</u>
<u>7k = 3d</u>
<u>Number of kids Dr. Irvine see in a week is 39.</u>
Step-by-step explanation:
1. Let's review the information given to answer the question correctly:
Number of patients Dr. Irvine see in a week = 130
Radio of kids to adults = 3:7 or 3/7
Number of Kids = k
Number of adults = d
2. Let's find the equations system that should be set up to find out how many kids Dr. Irvine see
k + d = 130 (Number of patients Dr. Irvine see in a week)
Including the ratio:
7k = 3d
Replacing d:
d = 130 - k
Now substituting:
7k = 3 * (130 - k)
7k = 390 - 3k
10k = 390
k = 390/10
<u>k = 39</u>
Answer:
The car requires 192 feet to stop from a speed of 48 miles per hour on the same road
Step-by-step explanation:
- Direct proportion means that two quantities increase or decrease in the same ratio
- If y is directly proportional to x (y ∝ x) , then
<em>OR</em> y = k x, where k is the constant of proportionality
∵ The stopping distance d of an automobile is directly
proportional to the square of its speed s
- That means d ∝ s²
∴ 
∵ A car requires 75 feet to stop from a speed of 30 miles per hour
∴ d = 75 feet
∴ s = 30 miles/hour
- Change the mile to feet
∵ 1 mile = 5280 feet
∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour
∵ The car require to stop from a speed of 48 miles per hour
on the same road
- Change the mile to feet
∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour
∵
- Substitute the values of 
by 75 feet, 
by 158400 feet/hour
and 
by 253440 feet/hour
∴ 
∴ 
- By using cross multiplication
∴ 25 × 
= 75 × 64
- Divide both sides by 25
∴ = 192 feet
The car requires 192 feet to stop from a speed of 48 miles per hour on the same road
a) What is the slope of the line parallel to it?
Parallel lines will never intersect, meaning they have equivalent slopes, so the answer to this part is -(6/5).
b) What is the slope of the line perpendicular to it?
Perpendicular lines will intersect, creating a 90-degree angle, meaning all values in the graphs have been flipped. Thus, the slope of any perpendicular line is the negative reciprocal of the given slope (-1/x). The negative reciprocal of -(6/5) is 5/6, so that is the answer.
Answer:
349800
4
Step-by-step explanation:
First Part:
The question tells you to multiply by 10 to the power of 4.
This implies that you can move the decimal point 4 numbers to the right
When you move the decimal two numbers to the right you get 3498
Then you got to move it two more numbers to the right
3498 can also be written as 3498.0000000000 (infinite amount of zeros)
So moving the decimal two more places you get 349800
Second Part:
10^4 = 10 * 10 * 10 * 10
= 10000
Count the zeros you get 4.
