Answer:
Step-by-step explanation:
85
The expression 16y² + 48y in factored form is 16y(y+4) and the GCF of 16 and 48 is 16.
Given that A water company drills 2 wells to provide additional water for a small community. The cost in dollars to drill and service the wells for y years is represented by the expression 16y² + 48y and asked to factorize the equation
Factorization:
A number or other mathematical object is factored (or factorised, see variants in English spelling) or factored by a number of factors, often smaller or simpler things of the same sort.
⇒16y² + 48y=16y(y+4)
G.C.F:
The greatest common factor, which is the product of two or more numbers, is the biggest number (GCF). A natural number is created by dividing them by the biggest number (factor). There are a few factors that both share once all the number's components have been identified. The greatest common factor is the one with the largest number among the common factors. The highest common factor is another name for the GCF (HCF)
The highest common factor of 16 and 48 is 16
Therefore, G.C.F of 16 and 48 is 16
Therefore,The expression 16y² + 48y in factored form is 16y(y+4) and the GCF of 16 and 48 is 16.
Learn more about Factorization here:
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Answer:
Number of vans = 7 students
Number of buses = 60 students
Step-by-step explanation:
Let
Number of vans = x
Number of buses = y
2x + 11y = 674 (1)
6x + 14y = 882 (2)
Multiply (1) by 3
6x + 33y = 2,022 (3)
6x + 14y = 882 (2)
Subtract (2) from (3)
33y - 14y = 2,022 - 882
19y = 1,140
y = 1,140 / 19
= 60
y = 60 students
Substitute y = 60 into
2x + 11y = 674 (1)
2x + 11(60) = 674
2x + 660 = 674
2x = 674 - 660
2x = 14
x = 14/2
= 7
x = 7 students
Answer:
ok so we need to use the pythagorean theorem
a^2+b^2=c^2
3^2+10^2=
the square root of 109
10.4403065089
10.44
Hope This Helps!!!
Considering the margin of error, it is found that the 95% confidence interval for the percentage of adults who say vaccines should be required is (64.9%, 71.1%).
<h3>What is a confidence interval?</h3>
It is given by the sample statistic plus/minus the margin of error.
In this problem, 68% of adults say such vaccines should be required, with a margin of error of 3.1%, hence:
68% - 3.1% = 64.9%.
68% + 3.1% = 71.1%.
The 95% confidence interval for the percentage of adults who say vaccines should be required is (64.9%, 71.1%).
More can be learned about confidence intervals at brainly.com/question/25890103
