Answer:
Step-by-step explanation:
The 20th of February for seven nights:
Mr. Jones: 714
Mrs. Jones: 714
Child 1: 95% of 714 = 678.30
Child 2: 95% of 714 = 678.30
Total Price: 2784.60
The 10th of April for fourteen nights:
Mr. Jones: 802
Mrs. Jones: 802
Child 1: 85% of 802 = 681.70
Child 2: 85% of 802 = 681.70
Total Price: 2967.40
The 10th of April for fourteen nights is 182.80 pounds greater than the 20th of February for seven nights.
The solution to that equation is (6,-4)
Answer:
x= -4 & y=-12
Step-by-step explanation:
multiply y=3x by 2
giving you 2y=6x
subtracting 2y=x+20 from 2y =6x
=> 5x=-20
dividing through by 5
=> x=-4
put x=-4 into y=3x
=> y=3(-4)
<em>y</em><em>=</em><em>-12</em>
Let's go through the steps of factoring that Venita should take.
1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a <em>b</em> since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b( )
2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses.
32ab ÷ 8b = 4a
8b ÷ 8b = 1
This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
8b x 4a = 32ab
8b x 1 = 8b
32ab - 8b is the expression she started with, so your factored expression works!
Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.
