Answer:
x = 5
Step-by-step explanation:
Step 1: Distributive property
Using this property means when you have something like the equation on the right side ( 4 ( x + 3 ) ) you multiply both the values in the parentheses by the number outside:
4 ( x + 3 )
( 4 x X ) + ( 4 x 3 )
4x + 12
8x + 2 = 2x + 4x + 12
Step 2: combine like terms
Combining like terms is when you find like terms with the same variables and such and add them together:
8x + 2 = 12 + ( 2x + 4x )
8x + 2 = 12 + 6x
Step 3:Using inverse operations
This means that you need to get a variable one one side and a constant on the other:
8x + 2 ( -2 ) = 12 ( -2 ) + 6x
8x = 10 + 6x
8x ( -6x ) = 10 + 6x ( -6x )
2x = 10
Step 4: solve for the variable
The last thing you need to do is divide both sides by the constant with the variable ( 2x ) to get x by itself:
2x ( /2 ) = 10 ( /2 )
x = 5
<em>only the last figure (i.e figure e) is shaded </em>
The shaded region is a triangle
Area of a triangle
= ½ × b × h
= ½ × 14 × 5
= ½ × 70
= 35yd²
Answer:
96 in 3
Step-by-step explanation:
we know that
4 cups of lemonade = 1 quart
1 gallon of lemonade = 4 quarts
1 gallon of lemonade = 16 cups
Step 1
<u> find the amount of lemonade that's left expressed in cups</u>
5 glasses * 2 cups = 10 cups
16 cups - 10 cups = 6 cups.
There are 6 cups of lemonade left.
Step 2
<u> find the amount of lemonade that's left expressed in quarts: </u>
4 cups = 1 quart.
(6 cups divided by 4 cups will equal the quarts.)
6/4=1.5
6 cups = 1.5 quarts.
There are 1.5 quarts of lemonade left.
Step 3
<u> find the amount of lemonade that's left expressed in gallons </u>
4 quarts = 1 gallon.
(1.5 quarts divided by 4 quarts will equal the gallon)
1.5/4=0.375
1.5 quarts = 0.375 gallon.
There is 0.375 gallon left of lemonade.
