The range is the difference between the lowest number and the highest number.
If x was the lowest number, then the highest number shown is 49
X = 49- 58 = -9
If x was the highest number, the lowest number given is 3
X = 3 + 58 =61
The two values would be -9 and 61
If the ratio is 4:3:2 each part of that ratio has a value of:
216/(4+3+2)
216/9=24
Since A pays four parts,
A pays 4*24=£96
How To Solve Systems of Inequalities Graphically
1) Write the inequality in slope-intercept form or in the form
y
=
m
x
+
b
y=mx+b
.
For example, if asked to solve
x
+
y
≤
10
x+y≤10
, we first re-write as
y
≤
−
x
+
10
y≤−x+10
.
2) Temporarily exchange the given inequality symbol (in this case
≤
≤
) for just equal symbol. In doing so, you can treat the inequality like an equation. BUT DO NOT forget to replace the equal symbol with the original inequality symbol at the END of the problem!
So,
y
≤
−
x
+
10
y≤−x+10
becomes
y
=
−
x
+
10
y=−x+10
for the moment.
3) Graph the line found in step 2. This will form the "boundary" of the inequality -- on one side of the line the condition will be true, on the other side it will not. Review how to graph a line here.
4) Revisit the inequality we found before as
y
≤
−
x
+
10
y≤−x+10
. Notice that it is true when y is less than or equal to. In step 3 we plotted the line (the equal-to case), so now we need to account for the less-than case. Since y is less than a particular value on the low-side of the axis, we will shade the region below the line to indicate that the inequality is true for all points below the line:
5) Verify. Plug in a point not on the line, like (0,0). Verify that the inequality holds. In this case, that means
0
≤
−
0
+
10
0≤−0+10
, which is clearly true. We have shaded the correct side of the line.
Answer:
x = 3
Step-by-step explanation:
29 - 3x = 5x + 5
You want to have the variable of x on one side of the equation, so add 3x to both sides.
29 = 8x + 5
You want to isolate the variable of x, so subtract 5 from both sides.
24 = 8x
You want the variable x on its own, so divide both sides by 8.
3 = x
Check your answer by plugging x back into the original equation.
29 - 3(3) = 5(3) + 5
Solve.
29 - 9 = 15 + 5
20 = 20
Your answer is correct!
Bob's hardware sells buckets in five different sizes.
The tiny bucket holds 3 quarts,
The small bucket holds 6 quarts,
The medium bucket holds 12 quarts,
The large bucket holds 24 quarts and
There is a relation between the size of the bucket and its volume.
We could see with increase in size the units of quarts double
Therefore the extra large bucket will hold 24*2 = 48 quarts
