<h2>
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>
<u><em /></u>
<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>
64. Susan tipped at the rate of 75 dollars to 5 waiters.
Question: She can afford to pay up to 90 dollars, How many waiters can she tipped if that is the case.
Let’s solve first and identify how much will she be giving to each waitress with 75 dollars is to 5 waiters rate:
=> 75 dollars / 5 waiters = 15 dollars each waiter
Now, she have 90 dollars
=> 90 – 75 = 15
Thus
=> 90 / 15 = 6 waiters she will be tipping.
Apples are $0.68 and peaches are $0.42.
To find these values, we need to write and solve the following system of equations.
6x + 9y = 7.86
4x + 5y = 4.82
Multiply the first equation by 2 and the second by -3.
12x + 18y = 15.72
-12x - 15y = 14.46
Add the equations together.
3y = 1.26
y = 0.42
Sub in 0.72 and solve for x in either equation and you will get x = 0.68.
We know that angle MKJ is comprised of angle MKL and angle LKJ. That means if we add MKL and LKJ, we should get 80 degrees, which is the measure of angle MKJ.
So, we know that our x is 15. That is not enough to tell whether KL is an angle bisector, because we have to evaluate both MKL and LKJ with x=15, so:
So we see that these two angles are actually bisectors, and the third question best describes this phenomenon.
