Answer:
40.6 inches
Step-by-step explanation:
The plant's initial height is 7 inches tall.
It grows 1.3 inches each day for 27 days. This means that after 27 days, it must have grown an extra:
1.3 * 27 = 35.1 inches
It must have grown an extra 35.1 inches after 27 days. Therefore, its new height after 27 days is:
7 + 35.1 = 42.1 inches
The plant then begins falling over 0.5 inch for the next 3 days. After 3 days, it must have fallen over by a height:
0.5 * 3 = 1.5 inches
Therefore, after 30 days, the plant's new height is:
42.1 - 1.5 = 40.6 inches
The plant's height after 30 days is 40.6 inches
Use the FOIL method to multiply these terms. Multiply the first, outside, inside, and last terms:
(5x - 4)(2x - 5)
(5x)(2x) + (5x)(-5) + (-4)(2x) + (-4)(-5)
10x² - 25x - 8x + 20
10x² - 33x + 20
The area of the rectangle should be 10x² - 33x + 20.
Let x be equal to the number of drinks Yasmine consumed.
Jose had 2 times that drink so his number of consumed drink would be represented by 2x.
Sally had 3 fewer drink than Jose so her number of consumed drinks would be represented by 2x-3.
Altogether, the three of them consumed 72 drinks so your equation would be:
x+2x+(2x-3)=72
add like terms together:
5x-3=72
have the term with x be alone on one side of the equation, in this case by adding three to both sides:
5x=75
now divide both sides by five for the value of x and your answer is.....
x=15
its the 3rd answer i think
Answer:
Second choice:


Fifth choice:


Step-by-step explanation:
Let's look at choice 1.


I'm going to subtract 1 on both sides for the first equation giving me
. I will replace the
in the second equation with this substitution from equation 1.

Expand using the distributive property and the identity
:




So this not the desired result.
Let's look at choice 2.


Solve the first equation for
by dividing both sides by 2:
.
Let's plug this into equation 2:



This is the desired result.
Choice 3:


Solve the first equation for
by adding 3 on both sides:
.
Plug into second equation:

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:



Not the desired result.
Choice 4:


I'm going to solve the bottom equation for
since I don't want to deal with square roots.
Add 3 on both sides:

Divide both sides by 2:

Plug into equation 1:

This is not the desired result because the
variable will be squared now instead of the
variable.
Choice 5:


Solve the first equation for
by subtracting 1 on both sides:
.
Plug into equation 2:

Distribute and use the binomial square identity used earlier:



.
This is the desired result.