Answer:
7 hours
Step-by-step explanation:
We are given that
At sunset, the temperature=-5 degrees Fahrenheit
Each hour, temperature falling=2degrees Fahrenheit
We have to find time taken to reach the temperature -19° F.
Let x be the time time taken to reach the temperature -19° F
According to question
Where we taking 2 negative because temperature decreases.
Hence, it will take 7 hours for the temperature to reach -19° F.
Answer:
Step-by-step explanation:
a) 3x^2-12x-11=3*x^2-3*2*2*x+3*4-23=3*(x^2-2*2x+2^2)-23=3*(x-2)^2-23
so a= -2 ,b= -23
b) x1=[12+V(12^2-4*3* -11)]/6=12/6+V(144+132)/6=2+2/6V69=2+1/3V69=
2+V69/9=2+V23/3
c=2, d= 23/3
Answer:
see explanation
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = width × length
let width be w then length is 2w + 3 ( 3 more than twice the width ), then
A = w(2w + 3) ← distribute
= 2w² + 3w
When w = 4 , then
A = 2(4)² + 3(4)
= 2(16) + 12
= 32 + 12
= 44 ft²
Hi there!
We are given a question that asks us to translate some given information into numerical format, or numbers. We can do that by first finding key words. Such words are sum and at least. Sum indicates addition, while at least indicates a greater than or equal to sign, or ≥. Now that we have found our key info, we can move on.
The question states that 3 times the sum of a number and 17. The 'sum of a number and 17' part can be represented by the expression x + 17, where x is some number. Next, three times means that we need to multiply 3 to the expression x + 17, giving us 3(x + 17). Finally, the question gives us that the whole expression 3(x + 17) is 'at least', or greater than or equal to, 22. Hence, we get the inequality 3(x + 17) ≥ 22, which is also our answer. Hope this has come of assistance to you and have a great day!
Answer:
Hi there!
Your answer is;
a)
i) 400% of 240
240 is 100%
× 4
960= 400%
ii) 40% of 240
100% = 240
/100
1% = 2.4
× 40
40% = 96
iii) 4% of 240
100% is 240
/100
1% = 2.4
× 4
4% = 9.6
iv) .04% of 240
100% = 240
/100
1% = 2.4
/100
.01% = .024
× 4
.04% = .096
b) the patterns is that all these numbers equal sometime 96. Each of these have a different decimal place, but have the same actual numbers.
c) 4000% = 240
take the pattern:
400% is 960
Scale it up to 4000 by 10
400% is 960
× 10
4000% is 9600
Hope this helps!
