First we need to get some expressions:
"Four times the number of white marbles" = 4*w
"9 times the number of red marbles" = 9*r
"...exceeded...by 10": So 4*w is 10 more than 9*r or 4*w = 9*r +10
"ratio of blue marbles to red marbles is 3 to 1" : b/r = 3/1
b=3*r
"there is a total of 65 marbles": b+r+w=65
So our system becomes
b = 3*r
65 = b+r+w
4*w = 9*r+10
The first equation allows us to substitute immediately into the second equation so
65 = 4*r+w
however, we can divide the third equation by 4 to get w:
w = (9*r)/4+10/4
This can then be plugged into the second to get:
65 = 4*r+(9*r)/4+10/4 = (16*r)/4 + (9*r)/4+10/4 = (25*r+10)/4
260 = 25*r+10
250 = 25*r
r=10
Now we simply plug this result into the substitutions to get w and b:
w = 90/4+10/4 = 100/4 = 25
b=30
So there are 10 red marbles, 25 white marbles, and 30 blue marbles
Now it sounds like we should be picking some out at random ;)
we are given
![\frac{\sqrt[3]{7}\sqrt{7}}{\sqrt[6]{7^5}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Csqrt%5B3%5D%7B7%7D%5Csqrt%7B7%7D%7D%7B%5Csqrt%5B6%5D%7B7%5E5%7D%7D%20%20%20%20%20)
we can write it in terms of exponents
Firstly , we will simplify numerator
now, we can add exponents
we can cancel it
and we get
............Answer
Approximations are used to estimate values, when the actual value is too large or too small or cannot be determined
- The approximation of the length of an average human stride is
- The approximation of the marathon length is
<h3>How to approximate the human stride</h3>
The length is given as:
Length = 1.44 m
Approximate to the nearest unit meters
Length = 1 m
Express as scientific notation
Length = 1 * 10^0 m
Hence, the approximation of the length is
<h3>How to approximate the marathon length</h3>
The length is given as:
Length = 42,195 m
Approximate to the nearest ten thousand meters
Length = 40,000 m
Express as scientific notation
Length = 4 * 10^4 m
Hence, the approximation of the marathon length is
Read more about approximation at:
brainly.com/question/10171109
Answer:
10 hours
Step-by-step explanation:
If I have $50 in my bank account, and I want to have a total of $130 in my account. It means that I need to work enough hours to make $130 - $50 = $80.
If I make $8 per hour, and I need to make $80, then I just have to work 10 hours. ($80/8 = 10)
Answer:
From the graph and data points, you can observe that Group B has a HIGHER range and has a greater variability. so it's NOT 1. 4. or 3. THEREFORE it's 2.
Explanation:
You start out by finding the mean (finding the sum of the data values and then dividing the sum by the number of data values)
and subtracting the first plot by the last in each graph.
(at least I think)
I've been through this topic. (it was a long time ago since I'm now in highschool so this might be different now as the grading curriculum has changed)
