Answer
Burger meal = $8 and Hot dog meal = $6
Step-by-step explanation:
Let's use "x" to represent burger meals and "y" to represent hot dog meals.
Garcia family:
3x + 4y = $48
Baker family:
6x + 2y = $60
We have to first compare both families' and then eliminate one of our common variables, either the "x" or "y".
3x + 4y = $48
6x + 2y = $60
Let's eliminate "x". To do this we can multiply "3x" by "-2" to get "-6x". This will cancel out "6x":
-2 (3x + 4y = $48) ...our new equation would be....
-6x - 8y = -$96
Now to add our two families' equations together...
-6x - 8y = -$96
+
6x + 2y = $60
=
- 6y = -$36
Divide both sides by "-6" to get "y" by itself.
y = $6
We now know the value of "y" <em>or </em>one hot dog meal. Next, we want to solve for "x", our variable for the hamburger meal... We will plug in our y value to help us...
3x + 4(6) = $48
3x + 24 = $48
We want to get our x by itself. First, we can subtract 24 from each side.
3x = $24
Then we will divided both sides by 3 to get x alone.
x = $8
To check our work we can plug in our values for both "x" and "y" to see if they add up to $48 and $60:
3(8) + 4(6) = $48
24 + 24 = $48
and...
6(8) + 2(6) = $60
48 + 12 = $60
Answer: 26
Step-by-step explanation: Complementary angles are angles that add up to 90 degrees. So we use m<a+m<b=90 so let plug in
(4x+24)+ (3x-4)=90, then combine like with like.
7x+20=90
7x=70
x=10
Then let plug it in for angle B
(3(10)-4= 26
Hello :
f(x) = <span>√(0.5x-10) +3
</span>inequality can be used to find the domain of f(x) is : 0.5x-10 <span>≥ 0
</span>0.5x ≥10
x ≥10/0.5
x ≥ 20
the domain of f(x) is : D = <span>[</span><span>20 ; + ∞[ </span>
Answer:
$2000
Step-by-step explanation:
For each pound, the charge is $40. There are 50 such charges. The point of multiplication is to simplify the process of repeated addition.
... 50 × $40 = $2000
percent of increase for a population that changed from 25,000 to 30,000
Increase in population = 30,000 - 25,000 = 5000
So, the increase in population is 5000
To find percent of increase , we divide the increase in population by initial population.
So percent of increase = 
* 100
= 0.2 * 100
= 20 %
20% of increase for a population that changed from 25,000 to 30,000.
