Answer:
144
Step-by-step explanation:
120 x 1.20 = 144
.20 is 20% and adding the 1 adds it to the original value
To graph the equation, plot a few points then connect then with a line.
f(x) = 440 - 55x
Plug in numbers for x to get the y value.
f(0) = 440
f(1) = 385
f(2) = 330
f(3) = 275
f(4) = 220
f(5) = 165
So when you graph these points, the y intercept is y = 440 because the graph crosses the y axis at (0, 440).
The x intercept is where the graph crosses the x axis. This happens when y = 0.
0 = 440 - 55x. Solve for x.
55x = 440
x = 8
So the x intercept is x = 8
Answer:
<em>She need </em><em>72 </em><em>index cards.</em>
Step-by-step explanation:
Ms. James has a 6 square foot bulletin board and a 12 square food bulletin board and she wants to cover both boards with index cards without gaps or overlaps.
Each index card has an area of
square foot.
Dividing the area of each board with the area of the index card will yield the the number of cards she needs to cover up completely.
Let us assume T₁ and T₂ are the number of cards she needs to cover 6 square feet food bulletin board and 12 square feet food bulletin board respectively. So

Therefore, in total she need 24+48=72 index cards.
Answer:
The claim made by the researcher lacks the validity on basis of reasons as indicated in the explanation.
Step-by-step explanation:
The claim made by the researcher is not valid on basis of following reasons:
- Interacting variables are not mapped accurately. The additional variables as the health status of the volunteers, eating and fitness habits are not considered in the consideration. This results in a in complete validation.
- The placebo effect is not catered accordingly. As the half of the volunteers are taking nothing, this is not the direct influence of the placebo and thus double-blinded testing for placebo effect is to be ensured in future experiments.
- The environmental effects are not considered as the effect under study is dependent on the environmental effects, thus the claim is biased and the generalization is not valid.