3(x-1) = 2x - y
3x-3 = 2x-y
3x-2x+y = 3
x + y = 3 ----> (1)
2(x+y) = 3+3y
2x + 2y = 3 + 3y
2x + 2y - 3y = 3
2x - y = 3 -----> (2)
make equation (1) and (2) together
x + y + 2x - y = 3+3
3x = 6
x = 2
now make x = 2 in equation (1)
x + y = 3
2 + y = 3
y = 3-2
y = 1
(x,y) = (2,1)
Answer:
30 forks
Step-by-step explanation:
Let's start by simplifying the given ratio. Since both 15 and 25 are multiples of 5, we can divide the whole ratio by 5.
Forks: spoons
= 15: 25
= 3: 5
This means that forks take up 3 units of the total number of utensils, while the number of spoons is 5 units of the total number of utensils.
Number of forks= 3u
Number of spoons= 5u
Units shall be represented by the letter u from this point forth.
Now, we can form an equation using the total number of utensils in the cafeteria.
Assuming that the utensils in the cafeteria are only forks and spoons,
number of fork and spoons= 80
3u +5u= 80
8u= 80
Let's solve for u.
Divide by 8 on both sides:
1u= 80 ÷8
1u= 10
This means that 1 unit represents 10 utensils.
Substitute the value of u into the expression of the number of forks:
Number of forks
= 3u
= 3(10)
= 30
Thus, there are <u>30 forks</u> in the cafeteria.
Answer:
<h2>a) Average velocity = 278 units</h2><h2>b)
Instantaneous velocity at t = 7 seconds is 148 units</h2>
Step-by-step explanation:
a) Average velocity is the ratio of displacement to time.
We have
s(t) = t³ + t
t is in between 7 and 12
s(7) = 7³ + 7 = 350
s(12) = 12³ + 12 = 1740
Displacement = 1740 - 350 = 1390
Time = 12 - 7 = 5
Displacement = Average velocity x time
1390 = Average velocity x 5
Average velocity = 278 units
b) s(t) = t³ + t
Differentiating
v(t) = 3t² + 1
At t = 7
v(t) = 3 x 7² + 1 = 148 units
Instantaneous velocity at t = 7 seconds is 148 units
Answer:
492.205
$492
Step-by-step explanation:
2050/100 = ?/ 70 <- repeat four times changing 2050 to the new value.
Answer:
1504
Step-by-step explanation:
Given the digits :
1, 3, 5, 7
The maximum possible sum of two distinct three digit numbers formed from the digits above will be the sum of the the two hight possible three digit numbers that can be formed.
Highest three digit number = 753
Next highest = 751
The sum of these two. Values gives :
753 + 751 = 1504