Answer:
$9.50h, $(9.50h +2.20rh)
Step-by-step explanation:
Every hour ----- $9.50
h hours ----- h ×$9.50
Amount of money Mr Smith earns in h hours
= $9.50h
If he fixes a watch per hour, additional income= $2.20h
If he fixes r watches per hour, additional income= $2.20rh
Total income
= $(9.50h +2.20rh)
<u>Answer-</u>
<em>The maximum number of watches that Samantha come by with her savings is </em><em>10</em><em>.</em>
<u>Solution-</u>
The amount of money Samantha has in her savings account = $1150
She wants to buy shirts and watches.
Cost of one shirt = $84
Cost of each watch = $99
Let she can buy maximum of x watches, so the net price of the watches is $99x.
Then,
![\Rightarrow 99x+84=1150\\\\\Rightarrow 99x=1150-84\\\\\Rightarrow 99x=1066\\\\\Rightarrow x=\dfrac{1066}{99}\\\\\Rightarrow x=10.77](https://tex.z-dn.net/?f=%5CRightarrow%2099x%2B84%3D1150%5C%5C%5C%5C%5CRightarrow%2099x%3D1150-84%5C%5C%5C%5C%5CRightarrow%2099x%3D1066%5C%5C%5C%5C%5CRightarrow%20x%3D%5Cdfrac%7B1066%7D%7B99%7D%5C%5C%5C%5C%5CRightarrow%20x%3D10.77)
As the number of watches can not be in fraction, so at most she can buy 10 watches.
Let n be unknown number, then 1/5 of this number is 1/5n. When you add these two numbers, you get
![n+\dfrac{1}{5} n.](https://tex.z-dn.net/?f=%20n%2B%5Cdfrac%7B1%7D%7B5%7D%20n.)
You know that this sum is equal to 24, so
![n+\dfrac{1}{5} n=24.](https://tex.z-dn.net/?f=%20n%2B%5Cdfrac%7B1%7D%7B5%7D%20n%3D24.)
1. Multiply this equation by 5:
![5n+n=120.](https://tex.z-dn.net/?f=%205n%2Bn%3D120.)
2. Solve it:
![6n=120,\\n=120:6,\\n=20.](https://tex.z-dn.net/?f=%206n%3D120%2C%5C%5Cn%3D120%3A6%2C%5C%5Cn%3D20.)
Answer: n=20, correct choice is B.
Answer:
x > 28/3
Step-by-step explanation:
34 > 3(2 − x)
simplify the bracket
34 > 6 -3x
combine the like terms
34 - 6 > 3x
28 > 3x
divide by 3
x > 28/3
Sorry I don't know how to graph here, but I can graph it by writing the way it can be graphed.
It is in slope intercept form; y = mx + b
where mx is the slope and b is the y-intercept;
x>28/3; where 28/3 is the slope which means; at the y-intercept, go up 28 times and to the right 3 times
And b is 0; which means at 0 where the slope will be applied, go up 28 times and to the right 3 times.
Hope this helps!
Good luck.