Word problem on direct variationmoving object, the force acting on the object varies directly with the object's acceleration. When a force of 100 N acts on a certain object, the accelerati
object is 10 m/s. If the force is changed to 90 N, what will be the acceleration of the object?
Answers
Answer:
acceleration would be 9 meters per second squared
Step-by-step explanation:
If quantity "A" varies directly with quantity "B", then we can write:
A = kB
Now, this problem says that force (f) varies directly with acceleration (a). So we can write:
f = ka
Given f = 100 and a = 10, so we substitute and find k (the proportionality constant). Shown below:
f = ka
100 = k(10)
k = 100/10
k = 10
So, we have
f = 10a
Now, force is 90, so what's the acceleration?
90 = 10a
a = 90/10
a = 9
So, the acceleration would be 9 meters per second squared
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The sum of Sally's age plus twice Tomas's age is 12. The difference of Sally's age and Thomas's age is 3. Write and solve a system of equation to find their ages. Interpret the solution.
(02.01 LC) Is the following relation a function?x y1 4−1 −23 105 16YesNoYes or no?
Start at 125 create a pattern that subtracts 6 from each number
What is the midpoint of the segment shown below?
(-1,2)
(73)
O A. (6,3)
O B. (3,3)
O C. (3.)
O D. (6,5)
10
Answers
The midpoint of the segment is approximately (3, 2.5).
What is a midpoint of a line segment?
The midpoint of a line segment is given as,
x = (a + c)/2
y = (b + d) / 2
Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.
We have,
To find the midpoint of the segment between two points, we take the average of their x-coordinates and the average of their y-coordinates.
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
where (x1, y1) = (-1, 2) and (x2, y2) = (7, 3)
Midpoint
= ((-1 + 7)/2, (2 + 3)/2)
= (6/2, 5/2)
= (3, 2.5)
Therefore,
The midpoint of the segment is approximately (3, 2.5).
Learn more about midpointsoflinesegments here:
#SPJ7
Answer:
Step-by-step explanation:
First, these are points in a plane, hence should be (-1,2) and (7,3)
Then we'll have
-1+7=6/2=3
2+3=5/2=2.5
Then midpoint is (3,2.5)
Answers
Use PEMDAS order of operations (parenthesis, exponents, multiply, divide, add, subtract)
12*3/4(32*9/16-8)
12*3/4(18-8)
12*3/4(10)
9*10
=90
Hope this helps
cheese omelet?
Answers
Answer:
$1.40 more
Step-by-step explanation:
Let's say:
A costs $z
and
B costs $y
A is more expensive than B. That means z is greater than y. When we will be asked to find HOW MUCH MORE A costs than B, we will have to subtract the smaller dollar value (which is y) FROM the larger dollar value (which is z).
So, we would say A costs more than B by ($z - $y).
Similarly, in this problem, see attached image, the HAM AND CHEESE costs MORE ($4.95) than the CHEESE ONLY ($3.55). How much more??
To find this, we subtract smaller value (3.55) from the larger value (4.95). Thus we have:
Ham and cheese omelet costs $1.40 more than cheese omelet.
Answer:
1.40
Step-by-step explanation:
Answers
Then
Amount of sales tax charged by Store A = (6/100) * 1200
= 6 * 12
= 72 dollars
Then the total amount charged by Store A = ( 1200 + 72) dollars
= 1272 dollars
Now coming to Store B. It charges $1350 for repairs and 7% of sales tax.
Amount of sales tax charged by Store B = (7/100) * 1350
= 945/10
= 94.5 dollars
Then the total amount charged by Store B = ( 1350 + 94.5) dollars
= 1444.5 dollars
Amount of money saved by choosing Store A instead of Store B = (1444.5 - 1272) dollars
= 172.5 dollars
So $172.5 is saved by choosing Store A over Store B.
The total repair cost for each store is the cost of repairs added to the sales tax. The amount of money saved will be the difference between the two total costs.
Answers
Answers
3 2/3 - 1 5/6
11/3 - 1 5/6
11/3 - 11/6
22/6 - 11/6
(22-11) / 6
11/6
The answer is: 11/6 or 1.8333.
3 4/6 - 1 5/6 is the same as 22/6 -11/6
now subtract...
22/6 - 11/6 = 11/6
Now simplify...
1 5/6
Hope that helps!