(c) Is it possible for two recently made 50" TVs to have different screen lengths
1 answer:
You might be interested in
Answer:
14 children went to the movies and 18 went to the pool.
14 niños en el grupo del cine y 18 en el grupo de la piscina.
Step-by-step explanation:
We can solve this question using a system of equations.
I am going to say that:
x is the number of children that went to the movies.
y is the number of children that went to the pool.
Class of 32:
This means that
To go to the pool, it costs 2.5 euros. To go the movies, it costs 3.5 euros. 94 euros were spent.
This means that
From the first equation:
Replacing in the second
14 children went to the movies and 18 went to the pool.
14 niños en el grupo del cine y 18 en el grupo de la piscina.
Alright, we're dealing with a few values here, so let's give them some labels to save us some trouble down the road. We'll call the number of messages sent by Maria <em>m</em>, the number sent by Bill <em>b</em> and the number sent by Change (is that a real name?) <em>c</em>. We don't know exactly what each number is, but let's take a look at what information they do give us.
Change sent 2 times as many messages as Bill, or, using our variable for Change and Bill:
We're also given that Maria sent 7 messages more than Bill, which we can represent with:
Notice that <em>m</em> and <em>c</em> are both in terms of <em>b</em>. We can use this for our next step. We're given at the beginning that together, Maria, Bill, and Change sent 71 messages over the weekend. As an equation using all of our variables, this translates to:
Since <em>m </em>and <em>c </em>are both in terms of <em>b</em>, we can substitute those expressions in and solve for <em>b</em>:
Now that know that Bill sent 16 texts, we can find the numbers for Change and Maria:
So, Bill sent 16 texts, Maria sent 23, and Change sent 32.
Change sent 2 times as many messages as Bill, or, using our variable for Change and Bill:
We're also given that Maria sent 7 messages more than Bill, which we can represent with:
Notice that <em>m</em> and <em>c</em> are both in terms of <em>b</em>. We can use this for our next step. We're given at the beginning that together, Maria, Bill, and Change sent 71 messages over the weekend. As an equation using all of our variables, this translates to:
Since <em>m </em>and <em>c </em>are both in terms of <em>b</em>, we can substitute those expressions in and solve for <em>b</em>:
Now that know that Bill sent 16 texts, we can find the numbers for Change and Maria:
So, Bill sent 16 texts, Maria sent 23, and Change sent 32.
Answer:
<em> (a). ∠UXV, ∠XVY ; (b). UV = 8 m .</em>
Step-by-step explanation:
