Answer:
$5 and $3
Step-by-step explanation:
Cost of banana split = b
Cost of hot fudge sundae = s
<u>From the first equation we get: </u>
<u>Replacing in the second equation:</u>
- 4(11 - 2s) + 3s = 29
- 44 - 8s + 3s = 29
- 44 - 29 = 5s
- 15 = 5s
- s = 15/5
- s = 3
Then
- b = 11 - 2*3 = 11 - 6 = 5
So banana split costs $5 and hot fudge sundae costs $3
Answer:
um......I think 2 figure it out....
Step-by-step explanation:
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of gas to go 1 mile.
Answer:
4). The Washington Monument is 169.2-m tall.
Step-by-step explanation:
4). We know this because...
person 1.8 0.7
---------- = ----- = -------
Wash. x 65.8
We then know to cross-multiply to get:
1.8(65.8) = 0.7x
Which simplifies down to:
118.44 = 0.7x
x = 169.2
Answer:
5). The pond is 180ft wide.
Step-by-step explanation:
5). We know this because...
90 120
----- = -------
135 x
We then know to cross-multiply to get:
90x = 120(135)
Which simplifies down to:
90x = 16200
x = 180
Answer:
6). The height of the clock tower is 13ft 9in.
Step-by-step explanation:
6). We know this because...
person 5.5 4
---------- = -------- = -----
clock x 10
We then know to cross-multiply to get:
5.5(10) = 4x
Which simplifies down to:
55 = 4x
x = 13.75 (13 ft 9 in)
Answer:
20 goes into 110 five-and-a-half times
Step-by-step explanation:
Let's show our work:
20 + 20 + 20 + 20 + 20 + 10
\____\_____\____/_____/_____/
100
100
= 20 + 20 + 20 + 20 + 20 + 10
Half of 20 = 10
The keyword is half - so that leaves a 0.5 in your answer to "How many times does 20 go into 110."
How many 20's are there? Let's count!
20 + 20 + 20 + 20 + 20
1 2 3 4 5
So five 20's + one 0.5 = ?
That equals 5.5, because 5 + 0.5 = 5.5
Your answer is 5.5!
I hope this helps!
<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers
The correlation coefficient is 0.53
<h3>How to calculate the correlation coefficient</h3>
The correlation coefficient (r) is calculated as:
![r = \frac{n(\sum xy) - \sum x \sum y}{\sqrt{[n \sum x^2 - (\sum x)^2][n\sum y^2 - (\sum y)^2}}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Bn%28%5Csum%20xy%29%20-%20%5Csum%20x%20%5Csum%20y%7D%7B%5Csqrt%7B%5Bn%20%5Csum%20x%5E2%20-%20%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%20%28%5Csum%20y%29%5E2%7D%7D)
Using the given parameters, we have:
![r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1257^2][20 * 836 - 116^2}}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B20%20%2A8249%20-%201257%2A%20116%7D%7B%5Csqrt%7B%5B20%20%2A%2098823%20-%201257%5E2%5D%5B20%20%2A%20836%20-%20116%5E2%7D%7D)
Evaluate the exponents
![r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1580049][20 * 836 - 13456}}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B20%20%2A8249%20-%201257%2A%20116%7D%7B%5Csqrt%7B%5B20%20%2A%2098823%20-%201580049%5D%5B20%20%2A%20836%20-%2013456%7D%7D)
Evaluate the products
![r = \frac{164980 - 145812}{\sqrt{[1976460 - 1580049][16720 - 13456}}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B164980%20-%20145812%7D%7B%5Csqrt%7B%5B1976460%20-%201580049%5D%5B16720%20-%2013456%7D%7D)
Evaluate the differences
Evaluate the product
Evaluate the root
Evaluate the quotient
Hence, the correlation coefficient is 0.53
Read more about correlation coefficient at:
brainly.com/question/1564293
