Answer:
<em>The number is 46</em>
Step-by-step explanation:
<u>Equations</u>
Suppose:
a = One digit of the number
b = Tens digit of the number
The sum of the digits is 10:
a + b = 10
The number expressed as two-digits quantity is ab, and its value is
10a+b
When we add 18 to that number, we have:
10a+b+18
And that is represented as the number reversed:
10a+b+18=10b+a
Simplifying:
9a+18=9b
Dividing by 9:
a + 2 = b
Substituting in the first equation:
a + a + 2 = 10
2a = 8
a = 4
b = a + 2 = 6
Thus the number is 46
Answer:
a = 51
b = 51 (??not so sure)
c = 20 cents
Step-by-step explanation:
a) 25 x 408 = 10200
10200 ÷ 200 = 51 square ft is one one roll.
b) the surface area of an average gift is 51 sq ft (?)
c) 40 ÷ 200 = 0.2
each roll costs $40 dollars. each roll can wrap 200 gifts so 40 ÷ 200 = $0.20/ 20 cents
WQJAbnuhajle hove ukleg disklhdnd obisolsyhdgo fibpiouhod09ziusvcevn Step-by-step explanation:
Remember that w<span>hen the ball hits the ground, s(t) = 0
</span><span>So we have: -16t^2 - 32t + 48 = 0 </span>
<span>It's time to determine t = (-(-32) +/- sqrt((-32)^2 - 4(-16)(48))) / (2(-16)) </span>
<span>t = (32 +/- sqrt(1024 + 3072)) / (-32) </span>
<span>t = (32 +/- sqrt(4096)) / (-32) </span>
<span>t = (32 +/- 64) / (-32) </span>
<span>t = (48 or -32) / (-32) </span>
<span>t = -1.5 or 1 </span>
<span>Since a negative number doesn't make sense, so t =1</span>
<span>Keep in mind that velocity is the derivative of the height, therefore: </span>
<span>s'(t) = -32t - 32 </span>
<span>s'(t) = -32*1 - 32 </span>
<span>s'(t) = -32 - 32 </span>
<span>s'(t) = -64 </span>
<span>So the answer 64 feet per second dwn</span>
Answer:
He needs 7/24 cup of milk
Step-by-step explanation:
If he needs 5/8 cup of milk and has 1/3 cup, he will need to subtract so see how much more he needs.
5/8 - 1/3
We need to get a common denominator of 24
5/8 * 3/3 - 1/3 *8/8
15/24 - 8/24
7/24
He needs 7/24 cup of milk