Answer:
<h2>x = 0</h2><h2>y = - 2</h2>
Step-by-step explanation:
-5x + y = -2………… Equation 1
-3x + 6y = -12 ………… Equation 2
Using substitution
Make y the subject in equation 1 and substitute it into equation 2 and solve for x
That's
y = 5x - 2
We have
- 3x + 6( 5x - 2) = - 12
- 3x + 30x - 12 = - 12
27x = - 12 + 12
27x = 0
Divide both sides by 27
x = 0
Substitute x = 0 into y = 5x - 2
We have
y = 5(0) - 2
y = - 2
So the solutions are
<h3>x = 0 </h3><h3>y = - 2</h3>
Hope this helps you
Answer:
The answer to your question is below
Step-by-step explanation:
Data
base = 11 km
height 1 = 7 km
height 2 = 10 km
a) Name of the solid = Triangular prism
b) The base is a triangle
c) Volume
Formula
Volume = 1/2 base x height 1 x height 2
-Substitution
Volume = 1/2 (11) x (7) x (10)
-Simplification
Volume = 1/2(770)
-Result
Volume = 385 km³
You will need 119 cups to sell all of the lemonade.
Step-by-step explanation:
Given,
Diameter of cups = 9 cm
Radius of cup = 
Height of cups = 12 cm
We will find volume of cup.

Putting all the values

Therefore;
Each cup can hold 254.34 cubed centimeter of lemonade.
Number of gallons = 8
1 gallon = 3785 cm³
8 gallons = 3785*8 = 30280 cm³
Let,
x = Number of cups
Volume of lemonade in one cup * Number of cups = Volume of 8 gallons
254.34x=30280
Dividing both sides by 254.34

Rounding off to nearest whole number
x = 119
You will need 119 cups to sell all of the lemonade.
Keywords: volume, division
Learn more about volume at:
#LearnwithBrainly
You have to drive at 60 miles per hour
Speed=distance / time
7x-2=-23 add 2 to both sides to get 7x by itself
7x=-23+2 now add the right side
7x=-21 now divide both sides by 7
x=-21/7
x=-3