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zlopas [31]
3 years ago
15

Write a number whose square is between 100 and 150.

Mathematics
1 answer:
storchak [24]3 years ago
3 0

11^2=121
12^2=144
You can write either 11 or 12.
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A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut from the four corners and the
Alexandra [31]

Answer:

length=53 in

width= 23 in

Step-by-step explanation:

First, we know that each corner has now a square of 6 in long, so the heigth of the box will be of this size (as you can see in the picture attached). Then, the length and the width of the box would be the same as the piece, but with 12 in less. Therefore the equations to solve the problem are:

h=6 in\\w=x-12\\l=x+30-12\\l=x+18\\\\V: volume of the box\\V=6*(x-12)*(x+18)\\2706=6x^{2}+36x-1296\\0=6x^{2}+36x-4002\\\\

We factorize the 6 and we get:

0=x^{2}+6x-667\\

Finally we solve for x, and we get the initial dimensions of the piece of metal:

x=23l=30+x=30+23=53 in\\w=x= 23 in

7 0
3 years ago
How many different possible answers keys are there for an answer sheet with this format? 10 questions, 5 possible answers for ea
castortr0y [4]
50 Because 10 multiplied by 5 equals fifty
6 0
3 years ago
Read 2 more answers
What is the unit rate, expressed in kilometers per minute?
nikklg [1K]
The correct answer is D
6 0
3 years ago
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PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS
bixtya [17]

Answer:

30%

Step-by-step explanation:

the first solution -30% will be 45% and the second solution added by 30% will be 45%

4 0
2 years ago
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Find the rate of change of total​ revenue, cost, and profit with respect to time. Assume that​ R(x) and​ C(x) are in dollars. ​R
tresset_1 [31]

Answer:

Step-by-step explanation:

Given the Total revenue R(x) = 2x

Cost C(x) = 0.01x²+0.3x+30 where;

x = 30 and dx/dt = 9units per day.

Rate of change of revenue dR/dt = dR/dx • dx/dt

dR/dt = 2dx/dt

dR/dt = 2(9) = $18

Rate of change of revenue with respect to time is 18dollars/day.

Rate of change of cost dC/dt = dC/dx • dx/dt

dC/dt = (0.02x+0.3)dx/dt

dC/dt at x = 30 and dx/dt = 9 will give;

dC/dt = {0.02(30)+0.3}×9

dC/dt = (0.6+0.3) × 9

dC/dt = 0.9×9

dC/dt = $8.1

Rate of change of cost with respect to time is 8.1dollars/day

Profit = Revenue - Cost

Profit = 18-8.1

Daily Profit = $9.9

4 0
3 years ago
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