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Ostrovityanka [42]
2 years ago
14

On a number line, point D is at -6, and point E is at 8. Point F lies between points D and E. If DF: FEis 3: 1, where does point

F lie on the
number line?
Mathematics
1 answer:
Vadim26 [7]2 years ago
7 0

F is located on the numbe<u>r 4.5</u><u> </u>on the number line.

<h3></h3><h3>Where does point F lie on the number line?</h3>

We know that point D is at -6

Point E is at 8.

Point F is between D and E, such that the ratio:

DF:FE is 3:1

So if we divide the distance between D and E in 4 parts, 3 of these parts are DF, and one of these parts is FE.

First, the distance between E and D is:

distance = 8 - (-6) = 14 units.

Now, if we divide that by 4, we get:

14/4 = 3.5

Then we have:

DF = 3*(3.5) = 10.5

This means that F is at 10.5 units to the right of D, then:

F = D + 10.5 = -6 + 10.5 = 4.5

F is located on the numbe<u>r 4.5</u><u> </u>on the number line.

If you want to learn more about ratios:

brainly.com/question/2328454

#SPJ1

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5-6n=2n+5 <br>Solve for n
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1,8,27; 64; Rule Missing numbers​
zubka84 [21]

Answer:

  rule: f(n) = n³

  missing numbers: 125, 216, 343, 512, 729

Step-by-step explanation:

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  64 = 4·4·4 = 4³

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The rule is ...

  f(n) = n³

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2 years ago
Joe buys candy that costs $7 per pound. He will spend at least $56 on candy. What are the possible numbers of pounds he will buy
Westkost [7]

Answer:

8 pounds(lbs)

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3 years ago
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Estimate the following quantities without using a calculator. Then find a more precise result, using a calculator if necessary.
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Explanation:

a. It is so easy to double a number that no approximation is necessary.

  31,000 × 200 = 3.1×10⁴ × 2×10² = 6.2×10⁶ exactly

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b. 6.2×10³ × 5.2×10⁶ ≈ 6×5×10⁹ = 3×10¹⁰ approximately

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The actual value uses all of the digits of the smaller number:

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_____

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