Part 1 :
if the number of hours (h) is greater than 7.
Equation for the amount(A) in dollar is
Amount (A) = 210 + (h-7)x20
Part 2 :
if she earns 410,
with the same equation
410 = 210 + (h-7)x 20
200 =(h-7)x 20
10 = h-7
17 = h
therefore, number of hours tutored is 17.
Step-by-step explanation:
The value of x is 1.
The value of y is 4.
Solution:
Given TQRS is a rhombus.
<u>Property of rhombus:
</u>
Diagonals bisect each other.
In diagonal TR
⇒ 3x + 2 = y + 1
⇒ 3x – y = –1 – – – – (1)
In diagonal QS
⇒ x + 3 = y
⇒ x – y = –3 – – – – (2)
Solve (1) and (2) by subtracting
⇒ 3x – y – (x – y) = –1 – (–3)
⇒ 3x – y – x + y = –1 + 3
⇒ 2x = 2
⇒ x = 1
Substitute x = 1 in equation (2), we get
⇒ 1 – y = –3
⇒ –y = –3 – 1
⇒ –y = –4
⇒ y = 4
The value of x is 1.
The value of y is 4.
Let us assign variables.
Let x = egg mcmuffins
Let y = hash brown
Randy had:
2x + y = 750
Jack had
x + y = 450
Using systems of linear equation, we can get the value for x and y by elimination. Subtract the equations.
2x + y = 750
x + y = 450
--------------
x = 300
Get y
x + y = 450
300 + y = 450
y = 150.
So there are 300 calories for McMuffins and 150 calories for hash brown.
