The number line has small marks at each tenth and a big mark at each whole number. So, if you wanted to do -6.3, then you would do the same thing you did with -5 1/2(5.5) and count, in this example, three tick marks to the left of the -6 to get where -6.3 is. Same for all of the other ones there.
Answer:
m=7 z=-12
Step-by-step explanation:
expand brackets:
8m+24=5m+45
Change sides:
8m-5m=45-24
3m=21
<u>m=7</u>
<u />
<u>z-6</u> = <u>3</u>
2z 4
Coss multiply:
4z-24=6z
4z-6z=24
-2z=24
Divide both sides by -2:
z=-12
Answer:
Step-by-step explanation:
The sequence shown matches that of a geometric sequence of radius 4. To prove it, divide the term 
and check that 
Then the formula that represents this sequence is:
Where 
is the first term of the series = 2 and 
is the radius of convergence = 4.
Then the equation is:
Answer:x
=
5
toppings
Step-by-step explanation:Total cost of cheese pizza:
$
10.75
Any additional topping adds:
+
$
1.25
So a cheese pizza with
1
additional topping is:
$
10.75
+
$
1.25
=
$
12.00
A cheese pizza with
2
additional toppings is:
$
10.75
+
$
1.25
+
$
1.25
=
$
10.75
+
2
×
$
1.25
=
$
13.25
A cheese pizza with
3
additional toppings is:
$
10.75
+
$
1.25
+
$
1.25
+
$
1.25
$
10.75
+
3
×
$
1.25
=
$
14.50
If you pay attention to the pattern you can see that, for any number of toppings, say
x
toppings, the price is going to be:
$
10.25
+
x
×
$
1.25
We are told the final cost is
$
17.00
. That is
$
10.25
+
x
×
$
1.25
=
$
17.00
Subtract
$
10.25
from both sides
$
10.25
−
$
10.25
+
x
×
$
1.25
=
$
17.00
−
$
10.25
x
×
$
1.25
=
$
6.25
Divide both sides by
$
1.25
x
×
$
1.25
$
1.25
=
$
6.25
$
1.25
x
=
5
