How does the value of the digit 8 in 1.8 compare to the value of the digit 8 in 486?
1 answer:
Answer:
refer to the process
Step-by-step explanation:
We see that
Thus,
The value of the digit 8 in 1.8 is 0.8
While the value of the digit 8 in 486 is 80
Now dividing these values
80/0.8=100
So
The value of the digit 8 in 486 is 100 times larger than that of the digit 8 in 1.8
or
The value of the digit 8 in 1.8 is 100 times smaller compared to the value of digit 8 in 486
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Utilize the details to create inequalities that reflect each limitation or requirement.
2) Label the variables.
c: count of color copies
b: count of black-and-white copies
3) Define each constraint:
i) <span>Printing a color copy requires 3 minutes while a black-and-white copy takes 1 minute.
</span><span>
</span><span>3c + b
</span><span>
</span><span>
</span><span>ii) He must print a minimum of 6 copies ⇒ c + b ≥ 6
</span><span>
</span><span>
</span><span>iv) Moreover, he must finish the prints within 12 minutes at most ⇒</span>
3c + b ≤ 12
<span />
4) Additional limits include c ≥ 0, and b ≥ 0 (meaning only non-negative counts are valid for each type of copy)
5) Here’s how to illustrate that:
i) For 3c + b ≤ 12: draw the line representing 3c + b = 12 and shade the area above and to the right of this line.
ii) For c + b ≥ 6: draw the line c + b = 6 and shade the area below and to the left of this line.
iii) Given that c ≥ 0 and b ≥ 0, the relevant region is located in the first quadrant.
iv) The concluding area is the overlap of the previously mentioned shaded regions.
v) The graph can be viewed in the attached figure.
2) Label the variables.
c: count of color copies
b: count of black-and-white copies
3) Define each constraint:
i) <span>Printing a color copy requires 3 minutes while a black-and-white copy takes 1 minute.
</span><span>
</span><span>3c + b
</span><span>
</span><span>
</span><span>ii) He must print a minimum of 6 copies ⇒ c + b ≥ 6
</span><span>
</span><span>
</span><span>iv) Moreover, he must finish the prints within 12 minutes at most ⇒</span>
3c + b ≤ 12
<span />
4) Additional limits include c ≥ 0, and b ≥ 0 (meaning only non-negative counts are valid for each type of copy)
5) Here’s how to illustrate that:
i) For 3c + b ≤ 12: draw the line representing 3c + b = 12 and shade the area above and to the right of this line.
ii) For c + b ≥ 6: draw the line c + b = 6 and shade the area below and to the left of this line.
iii) Given that c ≥ 0 and b ≥ 0, the relevant region is located in the first quadrant.
iv) The concluding area is the overlap of the previously mentioned shaded regions.
v) The graph can be viewed in the attached figure.
Response:
Charlie can purchase a maximum of 0.375 pounds of potato salad
Detailed explanation:
Refer to the figure provided for improved clarity on the issue
Let
a ----> the price of one tuna sandwich
b ----> the price of a bottle of apple juice
c ----> the cost per pound of potato salad
x ----> pounds of potato salad
we have
he intends to buy a tuna sandwich, a bottle of apple juice, and x pounds of potato salad, and his spending limit is $8
The corresponding inequality for this scenario is
substituting the known values
Solving for x
Combine similar terms
Decrease 6.50 from both sides
thus
Charlie can acquire a maximum of 0.375 pounds of potato salad
