Answer: See explanation
Step-by-step explanation:
Let the price of apples be represented by a
Let the price of guyabanos be represented by g.
Since Marcel buys 5-star apples for PhP5.00 each and 3 guyabanos for PhP32.50 each. This will be:
C = 5a + 3g
where
a = PhP5.00
g = PhP32.50
c = Total cost
Therefore, an expression for the total cost of the fruits she buys will be:
C = 5a + 3g
C = 5(5.00) + 3(32.50)
The equation for the amount of change the cashier should give her if she gives the cashier PhP200.00 will be:
= 200.00 - 5(5.00) + 3(32.50)
= 200.00 - (25.00 + 97.50)
= 200.00 - 122.50
= Php77.50
There are two ways to do this but the way I prefer is to make one of the equations in terms of one variable and then 'plug this in' to the second equation. I will demonstrate
Look at equation 1,

this can quite easily be manipulated to show

.
Then because there is a y in the second equation (and both equations are simultaneous) we can 'plug in' our new equation where y is in the second one

which can then be solved for x since there is only one variable

and then with our x solution we can work out our y solution by using the equation we manipulated

.
So the solution to these equations is x=-2 when y=6
Answer:
y=mx+b
3=slope
1=y coordinate
-8=x coordinate
b=y intercept
Substitute m for 3
y=3x+b
Next, substitute the coordinate values
1=3(-8)+b
Solve
1=-24+b
+24 +24
25=b
Now substitute b and m for their respective values
y=3x+25
Step-by-step explanation:
We are given an isosceles triangle.
An isosceles triangle has corresponding angles of corresponding sides same.
<em>Therefore, other angle is also of (3x+7) degrees.</em>
(5x+13) and (3x+7) makes a linear pair.
Therefore,
(5x+13) + (3x+7) = 180
5x +13 + 3x +7 = 180.
8x +20 = 180.
Subtracting 20 from both sides, we get
8x +20-20 = 180-20.
8x = 160
Dividing both sides by 8, we get
<h3>x = 20.</h3><h3>Therefore, correct option is 3rd option. </h3>