Hi there!
Let r be the number of matches that Rebecca's team won.
We know that Katheryn's team won 9 more matches than Rebecca's team, and we know that Katheryn's team won 52 matches.
Using this given information, we can create the following equation.

If you wish to solve this, we can subtract both sides by 9 to get the following value for r.

Have an awesome day! :)
~collinjun0827, Junior Moderator
Hey!
You're right! This equation can definitely be solved by performing two operations on both sides. Let me show you how it's done.
First, let's write out our equation.
<span><em>Original Equation :</em>
</span>x + 53 = 15
Now that that's done, we'll be performing two operations on both sides. The operation we'll want to do is subtracting both sides of the equation by 53. We do this to get x on its own.
<em>Original Equation :</em>
x + 53 = 15
<em>New Equation {Added Subtract 53 to Both Sides} :</em>
x + 53 - 53 = 15 - 53
Now we have to solve the equation. Let's do the left side first.
<em>Left Side of the Equation :</em>
x + 53 - 53
<em>Left Side of the Equation {Solved} :</em>
x
Now, we'll solve the right side of the equation.
<em>Right Side of the Equation :</em>
15 - 53
<em>Right Side of the Equation {Solved} :</em>
-38
Now we can put both solutions to both sides of the equation together.
<em>New Equation :</em>
x = -38
Since this cannot be simplified any farther, this is our final answer. And that's it!
<em>So, now we know that in the equation x + 53 = 15,</em> x = -38
Hope this helps!
- Lindsey Frazier ♥
Answer:
y = 2x² + 18x + 36
Step-by-step explanation:
Given
y = 2(x + 6)(x + 3) ← expand the factors using FOIL
y = 2(x² + 9x + 18) ← distribute parenthesis by 2
= 2x² + 18x + 36 ← in standard form
Answer:
See the three attached images.
Step-by-step explanation:
image1 shows the intersection of b and c:
. (green "football")
image2 shows the <u>complement</u> of a (outside a):
(yellow)
image3 shows the intersection of those sets:
(green "football with a bite out of it") :-)
Answer:
313,600
Step-by-step explanation:
Let t represent number of years after Beth's 9th birthday.
We have been given that since Beth was born the population of her towns has increased at a rate of 850 people per year. So number of people increased in t years would be
.
We are also told that on Beth's 9th birthday the total population was nearly 307,650. This means that t-intercept is 307,650.
The population of town t years after Beth's birthday would be
.
To find population on Beth's 16th birthday, we will substitute
in our equation as Beth's 16th birthday would be 7 years after 9th birthday.



Therefore, the population on Beth's 16th birthday would be 313,600.