Answer:
-7/6
Step-by-step explanation:
I have plotted 8,10 and 2,17 on a grid and connected them with a line to help visualize the slope of the line we are trying to find.
The answer can also be written as a decimal as shown below, but it is neater to use the fraction.
Answer:
Step-by-step explanation:
The straight line passes through (0,1) and (2,-2).
Equation of a straight line passing through two points (x1,y1) and (x2,y2)
is given by:
Everything to the left of the line is shaded.
We have to visualize the graph:the straight line has a positive y-intercept and a negative slope.The graph is given in the attachment below.
From the figure we can see origin lies on the shaded region.Hence (0,0) should satisfy the inequality.
LHS=y=0
RHS=
LHS<RHS as 0<1
Hence , the inequality is:
Option C
For each value of y, -2 is a solution of -21 = 6y - 9
<u>Solution:</u>
Given, equation is – 21 = 6y – 9
We have to find that whether given set of options can satisfy the above equation or not
Now, let us check one by one option
<em><u>Option A) </u></em>
Given option is -5
Let us substitute -5 in given equation
- 21 = 6(-5) – 9
- 21 = -30 – 9
- 21 = - 39
L.H.S ≠ R.H.S ⇒ not a solution
<em><u>Option B)</u></em>
Given option is 3
- 21 = 6(3) – 9
- 21 = 18 – 9
- 21 = 9
L.H.S ≠ R.H.S ⇒ not a solution
<em><u>Option C)</u></em>
Given option is -2
- 21 = 6(-2) – 9
- 21 = - 12 – 9
- 21 = - 21
L.H.S = R.H.S ⇒ yes a solution
<em><u>Option D)</u></em>
- 21 = 6(9) – 9
- 21 = 54 – 9
- 21 = 45
L.H.S ≠ R.H.S ⇒ not a solution
Hence, the solution for the given equation is – 2, so option c is correct
Answer:
Lana can put 24 drops of bubble bath for her sister
Step-by-step explanation:
If package says to put in a drop of bubble bath for every half gallon of water in the bath tub.
If the bathtub can hold 12 gallons of water
There are 12÷1/2 gallon
=12×2/1
=24
It means there are 24 half gallons in the bathtub
If every half gallon of water requires a drop of the bubble bath
Then,
24 half gallons of water requires 24 drops of the bubble bath
