Answer: point F is at <u> 0.6 </u> on the number line
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Explanation:
The ratio 2:3 scales up to 2x:3x for some positive real number x.
This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.
D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9
Set this equal to the 5x from earlier and solve
5x = 9
x = 9/5
x = 1.8
This leads to 2x = 2*1.8 = 3.6
Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.
Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.
Answer:
25 rides
Step-by-step explanation:
has $28.50
15.75 + 0.50r
28.50
Subtract 15.75
0.50r
12.75
r
25.5
you can't have half rides, so 25 rides
Answer: it was probably more chocolaty because he added 5 teaspoons instead of 4 which is 2 doubled
Step-by-step explanation:
Answer:
16 responses
Step-by-step explanation:
we know that
A geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

where
a_n---->
term of the sequence
r ---> is the common ratio
a ---> the first term of the sequence

substitute

For n=12
substitute

-10 < = -3x - 4 < 5
-10 + 4 < = -3x - 4 + 4 < 5 + 4
-6 < = -3x < 9
2 > = x > -3 <==