Answer:
238
Step-by-step explanation:
let the number of marbles Sam has be x, then
Jim has x + 92 ← 92 more than Sam
After swap of 18 marbles
Sam has x - 18 and sam has x + 92 + 18 = x + 110
Jim now has twice as many as Sam, that is
x + 110 = 2(x - 18)
x + 110 = 2x - 36 ( subtract x from both sides )
110 = x - 36 ( add 36 to both sides )
146 = x
At first Jim had 146 + 92 = 238 marbles
All you need to do is to subtract the x-coord. of G from the x-coord of H:
-2 - 3 = -5. Distance is not a signed quantity, so we'll give the final distance between points G and H as 5.
Answer:
The driver took shorter than estimated
It took shorter by 2 hours( 120
minutes)
Step-by-step explanation:
Firstly we want to know if the drive took longer or shorter
By 2 days, the number of hours will be 2 * 24 = 48 hours ( recall 24 hours = 1 day
now , since 60 minutes give one hour, then 48 hours will me 60 * 48 = 2,880 hours
This is less than 3,000 hours
By how much?
Simply subtract the value of minutes in 48 hours from 3,000 = 3000-2880 = 120 minutes ( or two hours)
Answer: 6.36lb
Step-by-step explanation:
Step-by-step explanation:
Total Weight of the package = weight of product + weight of box
Weight of empty box =0.88lb
Total weight of the box is =7.24lb
Let Weight of product inside box=w
Let wet of empty box =y
Total weight = F
Then,
F=y+w
Since F=7.24lb. y=0.88
Then, w=F-y
w=7.24-0.88
w=6.36lb
The weight of the product is 6.36lb
hope this helps :)
Answer:
Step-by-step explanation:
<u>Part A: the x-intercepts are -3/2 and 5/2 </u>
- 4
- 7x - 15 -----> (2x + 3) (2x - 5)
2x + 3 = 0 --------> 2x = -3 ----------> x = 
2x - 5 = 0 ---------> 2x = 5 -----------> x = 
<u>Part B: the parabola is a minimum, the vertex is (7/8,-289/16) </u>
f(x)=ax^2+bx+c
if a>0, then the parabola opens up and the vertex is a minimum
a<0 then the parabola opens down and the vertex is a max
the x value of the vertex in f(x)=ax^2+bx+c= is -b/(2a)
the y value of the vertex is f(-b/(2a))
f(x) = 4 - 7x - 15
a = 4
b = -7
-b/2a=-(7)/(2*4)=7/8
f(7/8) = 4
- 7(7/8) - 15
f(7/8) = 49/16 - 49/8 - 15
f(7/8) = -289/16
-
the vertex is (7/8,-289/16)
<u>Part C: </u>
- the vertex is minimum and the graph goes through the x intercepts
- plug in x values to get the y value (EX: choose 0 for x, and you'll get -15 for y, so you would plot the point at (0, -15). you could plug in 1 for x, and get -18 for y, plotting the point (1, -18) )
