Answer:
60 miles per hour
Step-by-step explanation:
There are 60 minutes in one hour. Understanding this will allow us to solve the problem.
If a car travels 15 miles in 15 minutes, then we need to calculate how many miles they traveled in one hour or 60 minutes. 15 goes into 60, 4 times (60/15 = 4).
We can set up the proportion like this:
15 miles x miles
________ = __________
15 minutes 60 minutes
To find x, we just multiply 15 miles by the same amount as we did for 15 minutes, 4. 15 * 4 = 60, so the car is traveling 60 miles per hour.
The question is about calculating speed in Mathematics. Given that a car travels 15 miles in 15 minutes, converting 15 minutes to 0.25 hours, we can determine the speed by dividing distance by time. Thus, the car travels at a speed of 60 miles per hour.
The subject of this question is Mathematics, specifically focused on the concept of speed calculations. We are asked to calculate the speed of a car in miles per hour (mph), given that it traveled 15 miles in 15 minutes.
The formula to calculate speed is distance divided by time. However, we need to ensure that both measurements are in the same units. In this case, time is given in minutes but we need the speed in miles per hour (mph), so we'll need to convert minutes to hours.
As there are 60 minutes in an hour, the time of 15 minutes becomes 15 / 60 = 0.25 hours. Thus, the speed of the car is calculated as 15 miles / 0.25 hours = 60 mph.
So, a car that travels 15 miles in 15 minutes is traveling at a speed of 60 miles per hour.
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А=P(1 + Tt)
Answer:
Option C. r = (27 – P)/3P
Step-by-step explanation:
The following data were obtained from the question:
A = 27
t = 3
r =?
А = P(1 + rt)
With the above formula, we can obtain the value of r as follow
А = P(1 + rt)
27 = P(1 + 3r)
Divide both side by P
27/P = 1 + 3r
Subtract 1 from both side
27/P – 1 = 1 – 1 + 3r
27/P – 1 = 3r
(27 – P)/P = 3r
Divide both side by 3
r = (27 – P)/P ÷ 3
r = (27 – P)/P × 1/3
r = (27 – P)/3P
A. f(x) = -3(1/5)^x-1
B. f(x) = -3(1/5)^x-1
C. f(x) = -1/5(3)^x-1
D. f(x) = -1/5(-3)^x-1
The one that has the -1/5 inside is the one.
each term is multiplied by -1/5.
The first term is -3
for a_1=first term
r=common ratio
n=which term
In this case
The first term=-3
The common ratio is -1/5
so,
None of them A and B are the same
The one that has the -1/5 inside is the one.
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Point C's reflection across the x-axis yields coordinates (5, -7). The x-coordinate remains unchanged, while the y-coordinate changes sign, showcasing a fundamental concept in coordinate geometry.
This reflection can be understood as a transformation in which each point on the original figure is flipped over the x-axis to its corresponding point on the reflected figure.
The x-coordinate remains the same because it measures the horizontal distance from the y-axis, which does not change during a reflection across the x-axis. However, the y-coordinate changes sign, as it represents the vertical distance above or below the x-axis.
In summary, to find the coordinates of the reflected point, we change the sign of the y-coordinate of the original point while keeping the x-coordinate unchanged. Thus, the reflected coordinates of point C across the x-axis are (5, -7).
Answer:The correct answer is B
Step-by-step explanation:4(4a + 5)
Use the distributive property
(4)(4a) + (4)(5)
16a + 20
2.14 x 10 to the power of 10