A powerful way to find out is to solve the equation. Let's try that.
3 (d + 11) = 6 (d + 33)
Eliminate the parentheses: 3d + 33 = 6d + 198
Subtract 3d from each side: 33 = 3d + 198
Subtract 198 from each side: -165 = 3d
Divide each side by 3 : - 55 = d
There it is ... the solution to the original equation.
'd' has to be -55, otherwise the original equation isn't a true statement.
-55 is the ONLY number that 'd' can be. If you write in any other number
for 'd', the equation will be false.
For example, less see what the equation says when d=2 :
3(2 + 11) = 6(2 + 33)
3( 13 ) = 6( 35 )
39 = 210
Is that a true statement ? Is 39 equal to 210 ?
No. 39 and 210 are not equal. They are different.
So the equation is not true when d = 2 .
The equation is true ONLY when d = -55 .
The equation has exactly one solution.
Answer:
The amount earned is $327.75
Step-by-step explanation:
If the workwr working for 5h gets $71.25, then his working for 1 hour could be said to be x.
5h = $71.25
1h = x; cross multiplying would result in
x=
x= $14.25 which is the pay for 1h
Therefore for 23 h the worker would earn
23* 14.25 = $327.75
The mean is 60; and the standard deviation is 6; since the intervals are in amounts of 6.
Answer:
6
Step-by-step explanation:
maximum calories in a day = 540
no. of calories from the dog food = 320 x 1
= 480
∴ she can have: 540 - 480
= 60 calories to stay inside calorie range
no. of new treats she can have = 60 ÷ 10
= 6
Hope this helps!
Step-by-step explanation:
We are given the co-ordinates,
x : -2, -1, 0, 1, 2
y : 8, 5, 2, -1, -4
According to the graph, we see that this function represents a straight line.
The general form of the straight line is y = mx + c, where m is the slope and c is the y-intercept.
So, taking any two points we will find the equation of the straight line.
Consider, (0,2) and (1, -1). Now, slope is given by,
m =
i.e. m = -3
Now, we will find the y-intercept of this equation using (0,2) and m = -3,
i.e. y = -3x + c
i.e. 2 = c
Hence, the equation of the straight line is y = -3x + 2.