1. You have to make a system of equations.
2. The problem gives the following information:
- <span>. Emi said wow I think the top of that waterfall is about 20 ft more than three times the height of a young Redwood.
- Margaret had a different opinion she said no I think it's about 50 ft less than 4 times the height of the Redwood.
3. So, you have:
y: the height of the waterfall.
x: </span>the height of the Redwood
4. The equations are:
y=3x+20 (i)
y=4x-50 (ii)
3x+20=4x-50
x=70 ft
y=3x+20
y=230 ft
H<span>ow tall is the Redwood and how high is the waterfall?
</span>
The Redwood: 70 ft
The waterfall: 230 ft
By direct calculation, we will see that the full price of each necktie is $29.
<h3>
How to find the complete price of each necktie?</h3>
Let's say that the full price of each necktie is f.
We know that Will each necktie costed $8 less than the full price, so he paid:
(f - $8) for each one.
Knowing that he bought 7 and paid a total of $147, we know that he paid:
$147/7 = $21
Then we need to solve:
(f - $8) = $21
Solving for f, we have:
f = $21 + $8 = $29.
So the full price of each necktie is $29.
If you want to learn more about algebra, you can read:
brainly.com/question/4344214
Answer:
The probability that a student is taking calculus given that he or she is taking statistics is = 0.26
Step-by-step explanation:
the probability that a student is taking calculus given that he or she is taking statistics.
Let C = Calculus
S = Statistics
We solve this above Question nursing the formula;
P ( C ∪ S) = P(C) + P ( S ) - P ( C ∩ S)
From the question,
P(C) = 0.10
P( S ) = 0.18
P ( C ∩ S) = 0.02
P ( C ∪ S) = ???
P ( C ∪ S) = 0.10 + 0.18 - 0.02
= 0.28 - 0.02
= 0.26
Answer: 8
Step-by-step explanation: To find the least common multiple or (lcm) of 4 and 8, let's begin by listing the first few multiples of each number.
<em><u>Multiples of 4</u></em>
1 × 4 ≈ 4
2 × 4 ≈ 8
3 × 4 ≈ 12
4 × 4 ≈ 16
Notice that we skipped 0 × 6 in our list of multiples and this is because 0 × 4 is equal to 0 and our least common multiple can't be 0.
Now, let's list the multiples of 8. When listing the multiples of 8, it's a good idea to keep an eye on the list of multiples for 4 so that we will notice when we find a least common multiple.
<u><em>Multiples for 8</em></u>
1 × 8 = 8 ← is a multiple of 4
Notice that we can stop here because all other multiples that we find will be greater than 8. Therefore, the least common multiple or (lcm) of 4 and 8 is 8.
Answer:
Start by moving the decimal place in the number until you have a coefficient between 1 and 10. The number of places to the left that you had to move the decimal point is the exponent. so for example, 0.000345 would be 3.45(10)^4
Step-by-step explanation:
Hope that helps!