Answer:
geraldo has 9 marbles and yan has 12
Step-by-step explanation:
x + (x-3) = 21
x + x - 3 = 21
2 x - 3 = 21
Explanation:
In this problem, let us first analyze the situation. It says here that Geraldo and Yan both had marbles of their own. The problem states that together, they have a total of 21 marbles. However, we know here from the problem that they have different number of marbles each. Geraldo seems to have lesser number of marbles than Yan. Yan have three marbles more than Geraldo.
We can write the equation starting from assigning the unknown.
We'll use x.
x is the number of marbles that Yan have.
if x is Yan's, then, we can say that x-3 is Geraldo's.
Put them together into the equation.
Yan's plus Geraldo's is equal to 21.
Substitute using the represented unknowns.
x + (x-3) = 21.
In solving, we can also rule out that:
x + x - 3 = 21
2 x - 3 = 21
2 x = 21 + 3
2 x = 24
x = 12
x - 3 = 9
Yan has 12 marbles
and Geraldo has 9 marbles.
Answer:
b > -14
Step-by-step explanation:
think of this as a normal equation:
b + 7 > -2
subtract 7 from both sides
b > -7 -7
b > -14
for future reference, when dividing an inequality by a negative number the sign also flips: for example,
-2x > 12
divide both sides by -2 to isolate x:
x < -6
7 goes into 38 five times with a remainder of 3.....of 5.43 when rounded
There could be infinite answers to this question but a simple one could be 6.305 as halfway between.
The given length is 18 feet. The new pool will be 3x feet longer, this means that:
new length = 18 + 3x feet ............> equation I
The given width is 12 feet. The new pool will be x feet wider, this means that:
new width = 12 + x feet ...........> equation II
Now, the area of the rectangle = length * width
This means that to get the area, we will have to multiply equation I and II as follows:
area = (18+3x)(12+x)
Use the distributive property as follows:
area = (18+3x)(12+x)
area = 216 + 18x +36x + 3x^2
area = 3x^2 + 54x + 216
Comparing the calculated area with the given choices, we will find that the correct choice is:
<span>B. f(x) = 3x2 + 54x + 216
</span>