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Answer:</h2>
<u><em>Let m be the amount each mom can paint and d be the amount each daughter can paint.</em></u>
<u><em>On the first day, 8 mothers were painting so the mothers painted 8m square feet. 12 daughters also painted so the daughters painted 12d square feet. The total amount painted on the first day is then 8m+12d square feet. Since 220 square feet was painted on the first day, then 8m+12d=220. Dividing both sides by 4 gives a simplified equation of 2m+3d=55.</em></u>
<u><em>On the second day, 6 mothers were painting so the mothers painted 6m square feet. 8 daughters also painted so the daughters painted 8d square feet. The total amount painted on the second day is then 6m+8d square feet. Since 152 square feet was painted on the second day, then 6m+8d=152</em></u>
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<u><em>Multiply the first equation by -3 and then add it to the second equation to eliminate m and solve for d:</em></u>
<u><em>d=13</em></u>
<u><em>2m+3d=55</em></u>
<u><em>2m+3(13)=55</em></u>
<u><em>2m+39=55</em></u>
<u><em>2m=16</em></u>
<u><em>m=8</em></u>
<u><em>Therefore each mom painted 8 square feet and each daughter painted 13 square feet.</em></u>
Answer:
12x + 6
Step-by-step explanation:
3(4x + 2)
you distribute the 3 to 4x and 2
12x + 6
hope this helps
Answer:
- after week 7: 4374 pennies
- 486 pennies: after week 5
Step-by-step explanation:
The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...
an = 6·3^(n-1)
This can be rearranged to ...
an = 2·3^n
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When n=7, the value is ...
a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks
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To find when there are 486 pennies saved, we can solve the equation ...
486 = 2·3^n
243 = 3^n
log(243) = n·log(3) . . . . . . . take the logarithm
log(243)/log(3) = n = 5 . . . . divide by the coefficient of n
Tabitha will have saved 486 pennies after 5 weeks.
Surface Area of a Sphere = 4π(d/2)²
Let the smaller sphere's diameter be just a sample of 4 units in diameter and let the large spheres diameter be 4 times that of the smaller sphere.
Small Sphere: 4π(4/2)² = 16π units²
Large Sphere: 4π(16/2)² = 256π units²
256π / 16π = 16 times
The large sphere has a surface area 16 times that of the smaller one.
They are both on the 2 of the y-axis, so now all you have to do is subrtact the x-axis coordinate of R by the x-axis coordinate of T. That would be (-6)-5 = -11. YOUR ANSWER IS NOT -11. Signs don't matter when your attempting to find distance. Just forget the negative sign(-). It has nothing to do with the answer.
YOUR ANSWER IS 11 UNITS!!!
