Answer:
D.
d = 3t; 90 mi
Step-by-step explanation:
Bicycling A bicyclist traveled at a constant speed during a timed practice period. Write a proportion to find the distance the cyclist traveled in 30 min.
elapsed time distance
10 min 3 mi
25 min 7.5 mi
Graph it. :)
Start at (0,0), then at 10 min. on the x-axis, go 3 spaces up on the y-axis and plot a point. Do the same for 25 min. and 7.5 miles. Draw a line through all of those points, and see where the line hits on the y-axis when the x-axis is at 30 min. :)
If two things vary directly it means their ratio is a constant. Therefore from the formula rt=d. r=d/t, r=3/10 or 7.5/25 which reduces to 3/10. This is the constant speed,the lable is mi/min. Now use (d/30)=(3/10) and solve for d. Cross multiply and 10d=90, or d=9 mi
Answer:
The measure of angle A is 115°
Step-by-step explanation:
we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
so
∠C+∠A+∠B=180°
substitute values and solve for x
x°+(3x-35)°+(x-35)°=180°
5x°=180°+70°
x=250°/5=50°
Find the measure of angle A
∠A=(3x-35)°
substitute the value of x
∠A=(3(50)-35)=115°
The total number of persons standing in the line waiting for ordering pizza are 5.
Explanation:
There are 5 people in total so the first place can be occupied by any of the 5 persons.
Secondly the second place in the line can be occupied by any of the 4 persons left.
Then the third place will be occupied by any remaining 3 persons as the front two places are already occupied.
Similarly the fourth place will be taken by any of the remaining two people. And lastly the last place will b filled by the last remaining person.
So the total number of ways will be 5*4*3*2*1 = 120 ways that is given in the question.
Answer:
![\sqrt[5]{z} = \sqrt[5]{(-2)^{5} } \therefore \sqrt[5]{z} = -2](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bz%7D%20%20%3D%20%5Csqrt%5B5%5D%7B%28-2%29%5E%7B5%7D%20%7D%20%20%20%5Ctherefore%20%5Csqrt%5B5%5D%7Bz%7D%20%3D%20-2)
Step-by-step explanation:
i) z = -32
ii)
Yes it is. Ax+By=C is standard form. :)
