Answer: 8000 points last week.
Step-by-step explanation:
If she has increased by 75% in a week to get 14000 points then we can say that 175% times a number has to equal 14,000 , where the number of points she had last week.
175% * x = 14000
1.75x =14000 Divide both sides by 1.75
x= 8000
So she had 8000 points last week.
Check:
175% * 8000= 14000
1.75 * 8000 = 14000
14000 = 14000
Answer:
The main flaw of this proof is that it did not take into consideration the fact a 4 cent postage must be made with a 4 cent stamp and a 3 cent postage must be made with a 3 cent stamp but only looked at allocating the stamps based on the total amount of postage
Step-by-step explanation:
From the question we are told that
The proof is
Every postage stamp of three cents or more can be formed using just 3 cent and 4 cent stamps.
Basic Step : We can form postage of 3 cents with a single 3 cent stamp and we can form postage of 4 cents using a single four cents tamp
Inductive Step: Assume that we can form postage of j cents for all non negative integers j with j <= k using just 3 cent and 4-cent stamps. We can then form postage of k+1 cents by replacing one 3 cent stamp with a 4-cent or two 4-cent stamps with three 3-cent stamps
FLAW IDENTIFICATION
Looking the inductive step, the statement ''by replacing one 3 cent stamp with a 4-cent or two 4-cent stamps with three 3-cent stamps '' means that it is possible to use a 3-cent stamp for postage that requires a 4 -cent stamp and this is not correct according the statement in the basic step
Generally the main flaw of this proof is that it did not take into consideration the fact a 4 cent postage must be made with a 4 cent stamp and a 3 cent postage must be made with a 3 cent stamp but only looked at allocating the stamps based on the total amount of postage
The answer is the third option with 2/3 as the slope.
Hope I didn't mess up for your sake!
Answer:
Rina is 1/4 feet taller than Ryan
Step-by-step explanation:
(height of Rina)-(height of Ryan)
6x+3/8-(5x+1/8)
6x+3/8-5x-1/8
x+3-1/8
x+2/8
x+1/4
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

therefore then
