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anygoal [31]
3 years ago
11

A person can do a job in 6 days. Another can do the same job in 4 days. If they work together, how long do they need to finish t

he job?
Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0

Answer:

12/5 days

Step-by-step explanation:

if d=number of days

w=work completed

person one completes w=d/6 (ie. after 6 days (when d=6) work will be completed (w=1))

person two completes w=d/4 (ie. after 4 days (when d=4) work will be completed (w=1))

so total work competed together w=d/6 + d/4

the job is complete when w=1 so

1 = d/6 + d/4

12 = 2d + 3d

12 = 5d

d = 12/5

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ruslelena [56]
Hi Bre,

Since lines a and b are parallel, we know that in the image:
- ∡1 ⇔ ∡5
- ∡2 ⇔ ∡6
-       ...
- ∡4 ⇔ ∡8

We're given the angle of ∡7, which is 114°.  We can see that ∡7 + ∡8 will equal to 180° (since line b is a straight line) and since ∡8 ⇔ ∡4, we can deduct that ∡7 + ∡4 = 180°.

From here, it's just imputing the information and solving.
⇒ 114° + ∡4 = 180°
⇒ ∡4 = 180° - 114°
⇒ ∡4 = 66°

-Hope this helps!
6 0
3 years ago
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liraira [26]

Answer:

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Step-by-step explanation:

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2 years ago
Lori is running in a marathon, which is 35.6 miles long. So far, she has run one-tenth (1/10) of the marathon. How far did Lori
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7 0
3 years ago
What is the translation of the point to its image? A (−1, 4)→ A' (3, 3)
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Answer:

We validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Step-by-step explanation:

Given

A (−1, 4)→ A' (3, 3)

Here:

  • A(-1, 4) is the original point
  • A'(3, 3) is the image of A

We need to determine which translation operation brings the coordinates of the image A'(3, 3).

If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.

Thue, the rule of the translation will be:

A(x, y) → A' (x+4, y-1)

Let us check whether this translation rule validates the image coordinates.

A (x, y) → A' (x+4, y-1)

Given that A(-1, 4), so

A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)

Therefore, we validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

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