ANSWER: a=12 b=15
Explanation: (look at work below)
4a + 1b = 63 (eq1)
5a + 3b = 105 (eq2)
-12a + -3b = -189 (subt. eq1 from eq2)
————————-
-7a = -84
a = 12
4(12) + 1b = 63 (plug in the a value)
48 + 1b = 63
b = 15
Answer:
Juan wins the race
Step-by-step explanation:
<u>The graph is shown in attached image.</u>
<u />
The black line is Juan's graph.
The green line is Antonio's graph.
The graph shows the distance (y-axis) with time (x-axis).
The end of the curve(s) means the end of the race. Both curve's ending point in y-axis is 4 miles so the end of the race is 4 miles.
But in x-axis, we see the time:
Juan finishes at 13 minutes
Antonio finishes at 15 minutes
<u>Definitely Juan wins the race</u>
A weekly pay (five-day work week) is $100.
The average tip is $5.
The waiter wants to make at least $450 in a five-day work week.
So we have to find out how many times the waiter must serve.
So, first we do $450 - $100 since the waiter already makes $100.
$450 - $100 = $350
Then the waiter gets an average of $5 tips.
So, we do $350 / $5.
$350 / $5 = 70
Our answer is 70.
So, the waiter must serve 70 tables to make at least $450.
Hope this helps you! (:
-PsychoChicken4040
Answer:
The required expression is (x+2).
Step-by-step explanation:
The given point is (3,6).
Here,
x-coordinate = 3
y-coordinate = 6
We need to find an algebraic expression to represent the new x-coordinate after a translation of two yards east.
If a point is shift 2 yard east it means the value of x-coordinate increases by 2 units. It means
where, x' is new x-coordinate and x is initial x-coordinate.
Put x=3 in the above equation.
Therefore, the new x-coordinate is 5.
1. Simplify the expression
Combine like terms:
3/4(8x-12)=2(4x+1)-4
6x-9=2(4x+1)-4
6x-9=8 x-2
2. Group all X terms on the left side of the equation
Subtract 8X from both sides:
6x-9=8 x-2
(6x-9)-8x=(8x-2)-8x
-2x-9=(8x-2)-8x
-2x-9=-2
Group all constants on the right side of the equation
Add 9 to both sides of the equation:
-2x-9=-2
(-2x-9)+9=-2+9
-2x=-2+9
-2x=7
Isolate the X
Divide both sides of the equation by -2:
-2x=7
(-2x) 7
——- = —
-2 -2
X= 7
—
-2
X= -7
—
2