Answer:
5) 27/70
6) 90
Step-by-step explanation:
5) The first step in this problem is to figure out the amount of total spins. To do so, add up all of the numbers in the column "Frequency".
18 + 15 + 27 + 10 = 70.
Now, look at the amount of times the spinner landed on green. This is 27 times. So, the ratio of green spins to total spins is 27:70, or 27 out of 70 spins. Converting this to a fraction, we get the final answer, 27/70.
6) To solve this problem, we have to first do the same steps as the previous problem, but with the color red. There are 70 total spins, and 18 red spins. Therefore, the ratio is 18:70. However, this problem wants the total number of spins to be 350. In other words, 70 needs to become 350. To do this, multiply each side of the ratio by 5. The ratio becomes 90:350. Using this ratio, we can determine that a solid prediction is 90 red spins out of 350 total spins.
Answer:
b) The property states that ab is equivalent to b a
Step-by-step explanation:
<em>Commutative property</em>:-
the commutative property , when we multiply two integers , the answer we get after multiplication will remain the same, even if the position of the integers are interchanged.
Let 'a' and 'b' be the two integers , then ab = b a
Example:-
. 1 X 2 = 2 X 1 = 2
. 12 X 5 = 5 X 12 = 60
Answer:
7.7 km
Explanation:
Use cosine rule as here given two sides and one angle.
Cosine rule states:
a² = b² + c² - 2bc cos(A)
While solving, treat a = 7.5 km as to that opposite angle is given of 68°
then b = missing side, c = 5.2 km, A = 68°
Applying rule:
7.5² = b² + 5.2² - 2(b)(5.2) cos(68)
56.25 = b² + 27.04 - 3.8959b
56.25 - 27.04 = b² - 3.8959b
b² - 3.8959b = 29.21
b² - 3.8959b - 29.21 = 0
apply quadratic equation, Here [a = 1, b = - 3.8959, c = -29.21]




As length cannot be negative. Hence the value of b is only 7.7 km
Assuming that X represents the number of hours worked and f(x) the number of cars washed, the equation would be f(x)=11x+14x.
The 11x represents the number of cars washed by Arianna in x number of hours and the 14x represents the number of cars washed by Matthew in x number of hours. You add the two because they are each washing their own car at their own pace but working on one lot.