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:
391
Step-by-step explanation:
First you must make the fraction a decimal so you can use it in an equation.
To do so move the . over to the left twice.
.68
Now multiply 575 by .68
575 x .68=391
Answer: 30
Step-by-step explanation: To solve this problem, we're going to have to use the Pythagorean theorem...
a² + b² = c²
24² + 18² = c²
576 + 324 = c²
c² = 900

30
30 = c
I hope this helps!
Answer:
62.90
Step-by-step explanation:
62 and 90 hundredths is more than 62 and 9 hundredths.
To compare decimal, try to say the decimal with its place value, and its way easier to compare.
You can cross multiply and the answer would be 100/9
9/10=10/k
100=9k
k=100/9