Answer:
Look at Step by Step
Step-by-step explaination
All you need to do is find the frequency of the test scores.
70 = 2 dots
75 = 0
80 = 3 dots because there are 3 students that got a 80 %
85 = 3 dots because there are 3 students that got a 80 %
90 = 4 dots because there are 4 students that got a 90 %
95 = 3 dots
100+ = 0 dots
Alright, so the distance formula is sqrt((x1-x2)^2+(y1-y2)^2), and plugging that in, we get sqrt((0-3)^2+(3-10)^2)=sqrt((-3)^2+(-7)^2)=sqrt(9+49)=sqrt(58)=around 7.6
Let us bear in mind the equivalent value of these coins:
One dime = $0.10
One quarter = $0.25
Let x = number of dimes
y<span> = number of quarters</span>
Since the boy has 70 coins in total, we can say that:
<span>x + y = </span><span>70 </span>(can be written as x = 70 – y)
Since the boy has a total of $12.40, we can say that:
0.10x + 0.25y = 12.40
To solve this problem, we need to solve this system of equation. We have to substitute the value of x as written in the first equation (x = 70 –y)
0.10(70 – y) + 0.25y = 12.40
7 – 0.10y + 0.25y = 12.40
0.15y = 5.40
y = 36
X = 70 – 36
X = 34
Therefore,<span> the boys </span>has<span> 34 dimes and 36 quarters. To check our answer, we just have to check if his money would total $12.40.</span>
34 dimes = $3.40
36 dimes = $9.00
<span>Total </span><span>$12.40</span>
Answer:
( x - 2 )^2 + ( y - 1 )^2 = 1
Step-by-step explanation:
As i previously explained,
The general form of equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2.
h and k are the co-ordinates of the center of circle and r is the radius
Here, We have (2,1) as the co-ordinates of the center of circle
Now,
( x - h )^2 + ( y - k )^2 = r^2
or,( x - 2 )^2 + ( y - 1 )^2 = r^2
The radius of the circle is 1 units(from figure)
So, put that in, we get
( x - 2 )^2 + ( y - 1 )^2 = 1^2
or, ( x - 2 )^2 + ( y - 1 )^2 = 1
You can simplify this or leave it here.
Answer:
Option D -17.5 degrees is correct answer
Step-by-step explanation:
Since a calendar week has 7 days. and temperature is falling by -2.5 daily.
So, On Day 1 Temperature is -2.5 degrees
On Day 2 Temperature is -2.5 + -2.5 = -5 degrees
On Day 3 Temperature is = -5 + -2.5 = -7.5 degrees
On Day 4 Temperature is = -7.5 + -2.5 = -10 degrees
On Day 5 Temperature is = -10 + -2.5 = -12.5 degrees
On Day 6 Temperature is = -12.5 + -2.5 = -15 degrees
On Day 7 Temperature is = -15 + -2.5 = -17.5 degrees
So, Option D -17.5 degrees is correct answer.
