Answer:
<em>Daniel does have enough money to make this car payment</em>
Step-by-step explanation:
<u>Addition and Subtraction</u>
Daniel has an initial balance of $460.63 on this checking account.
He must pay $85.23 for groceries.
The new balance is $460.63 - $85.23 = $375.40
He then pays $81.34 for his cell phone bill. The balance is now $375.40 - $81.34 = $294.06.
He receives a shopping refund of $52.13 that adds up to this balance that now is: $294.06 + $52.13 = $346.19.
Daniel has to make his $264 car payment. The balance is $346.19, thus:
Daniel does have enough money to make this car payment
Answer:
<u><em>Rotation and Revolution are two motions of the earth.</em></u>
Step-by-step explanation:
The description is in the image below:
Check the picture below.
so we know the radius of the semicircle is 2 and the rectangle below it is really a 4x4 square, so let's just get their separate areas and add them up.
![\stackrel{\textit{area of the semicircle}}{\cfrac{1}{2}\pi r^2}\implies \cfrac{1}{2}(\stackrel{\pi }{3.14})(2)^2\implies 3.14\cdot 2\implies 6.28 \\\\\\ \stackrel{\textit{area of the square}}{(4)(4)}\implies 16 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{sum of both areas}}{16+6.28=22.28}~\hfill](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7Barea%20of%20the%20semicircle%7D%7D%7B%5Ccfrac%7B1%7D%7B2%7D%5Cpi%20r%5E2%7D%5Cimplies%20%5Ccfrac%7B1%7D%7B2%7D%28%5Cstackrel%7B%5Cpi%20%7D%7B3.14%7D%29%282%29%5E2%5Cimplies%203.14%5Ccdot%202%5Cimplies%206.28%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Barea%20of%20the%20square%7D%7D%7B%284%29%284%29%7D%5Cimplies%2016%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20%5Cstackrel%7B%5Ctextit%7Bsum%20of%20both%20areas%7D%7D%7B16%2B6.28%3D22.28%7D~%5Chfill)
Answer:
w > -2
Step-by-step explanation:
9 + w > 7
Subtract 9 from both sides to end up with w alone on the left side.
w > -2
We need to do a system of equations here.
x + y = 275 (if you travel <em>x</em> km by bike and <em>y </em>km by bus, then you travel 275 km as given in the problem)
y = x + 55 (the problem stated that they were bussed (y) the amount they biked plus 55 more km (x + 55))
The second equation is already solved for y. So, we can plug it in to the first equation.
x + (x + 55) = 275
2x + 55 = 275 [combine x terms]
2x = 220 [subtract 55 from both sides]
x = 110 [divide by 2 to isolate x and solve for it]
Now we know that x is 110, the distance they traveled by bike.
And that's what we needed to answer the problem!
