Because you have not provided an image its hard for me to give you an answer.
About 14
this is the answer
Answer:
$5.16
Explanation:
Okay, so the first step is to move the decimal point of the 72% over to the left twice. Since it is a whole number, the decimal is at the back. So, the number went from 72 to .72.
After that, multiply 3.00 by .72 Like this:
3.00 * .72 = 2.16
The last step is to add the original number to that number. Like this:
3.00 + 2.16 = 5.16
Hope this helps !
The sequence is " Algebraic, common difference = −10 " ⇒ 1st answer
Step-by-step explanation:
Let us revise the algebraic and geometric sequences
- The Algebraic sequence is the sequence that has a common difference between each two consecutive terms, like 2 , 5 , 8 , 11 , 14 , .......... the difference between the 5 and 2 is equal to the difference between 8 and 5, and the difference between 11 and 8 and the difference between 14 and 11
- The geometric sequences is the sequence that has a common ratio between each two consecutive terms, like 3 , -9 , 27 , -81 , ...... the ratio between -9 and 3 as the ratio between 27 and -9 as the ratio between -81 and 27
→ x : 1 : 2 : 3 : 4
→ f(x) : 5 : -5 : -15 : -25
x represents the positions of the terms
f(x) represents the value of each term
∵ 1st = 5 and 2nd = -5
∵ -5 - 5 = -10
∵ 2nd = -5 and 3rd = -15
∵ -15 - (-5) = -15 + 5 = -10
∵ 3rd = -15 and 4th = -25
∵ -25 - (-15) = -25 + 15 = -10
∴ There is a common difference -10 between each two
consecutive terms
∴ The sequence is algebraic with common difference -10
The sequence is " Algebraic, common difference = −10 "
Learn more:
You can learn more about the sequences in brainly.com/question/1522572
#LearnwithBrainly
Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons
