Answer:
Rewrite the equation as
5
x
+
10
y
=
20
5
x
+
10
y
=
20
.
5
x
+
10
y
=
20
5
x
+
10
y
=
20
Subtract
5
x
5
x
from both sides of the equation.
10
y
=
20
−
5
x
10
y
=
20
-
5
x
Divide each term by
10
10
and simplify.
y=2−x/ 2
Step-by-step explanation:
Answer:y = 10.5
Step-by-step explanation:
First, assign a variable to each unknown value.
Let:
x = cost of the pepperoni pizza
y = cost of the plain pizza
Next, set up equations based on the word problem. We then have the following equations:
(1) 3x + 2y = 58.50
(2) 2x + 4y = 67
Equation (1) comes from the statement: "Jack paid 58.50 for 3 pepperonies and 2 plain pizzas". Equation (2), on the other hand, translates the statement: "Jill paid 67 for 2 pepperonies and 4 plain pizzas".
To solve for two unknown variables given two independent equations, eliminate one variable first. That is, multiply equation (1) to -2.
-2[3x + 2y = 58.50]
-6x -4y = -117
Then add this to equation (2):
-6x -4y = -117
2x + 4y = 67
-------------------
-4x = -50
x = -50/-4 = 12.5
To solve for y, we use equation (2) and substitute the value of x which has been solved already.
2(12.5) + 4y = 67
y = 10.5
To summarize, they paid $12.50 for the pepperoni pizza while they paid $10.50 for the plain pizza.
1/2 is bigger because 1/4 is half of half.
Answer:
B. 15 + 5√3.
Step-by-step explanation:
The ratio of the sides in a 30-60-90 triangle is 1:√3:2.
So here the lengths of the sides are 5, 5√3 and 10.
Perimeter = 15 + 5√3.
Answer: (3,-5) minimum
Step-by-step explanation:
the vertex is at the bottom so it is a minimum