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ratelena [41]
3 years ago
5

The hanger shown in the diagram is balanced. All cherries weigh the same, all mushrooms weigh the same, and all strawberries wei

gh the same. The bottom of the hanger is hidden from view. Two strings could have more weights extending below the curtain. Maybe there are more, maybe there are not!
How many grams does the exotic fruit weigh, if the weight of one cherry is 7 grams?
Assume that all parts of the hanger itself (horizontal bars and vertical strings) weigh nothing.

Mathematics
1 answer:
aleksley [76]3 years ago
4 0

Answer:

56 grams.

Step-by-step explanation:

In the sixth vertical string on the right, we have two cherries.

Since it is balanced, each of the other 3 strings(3rd, 4th and 5th) on the right will weigh two cherries.

Therefore:

Right Hand Side(3rd,4th,5th and 6th string) = 4 X 2 Cherries=8 Cherries

The fist string carries a weight of 2 Mushrooms

Therefore the second string will also weight Two Mushrooms.

Left Hand Side(1st and 2nd string)=2 X 2 Mushrooms =4 Mushrooms

Therefore:

Right Hand Side=Left Hand Side

8 Cherries=4 Mushrooms

One Cherry is 7 grams

Therefore:

4 Mushrooms =7 X 8 =56 Grams

The total weight of the left hand side is 56 grams. Therefore, the exotic fruit weighs 56 grams.

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<h3>Exercise</h3>

Replace the value of x:

| x - 8 |

| -4 - 8 |

| -12 | = \large{\boxed{12}}

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3 0
3 years ago
Pls someone answer pls :)
Goshia [24]

Answer:

(-x-2) (-2x -3)=0

=>[-(x +2)] [-(2x+3)]=0

=>(x + 2)(2x +3)=0

=>x =-2 or,x=-3/2

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larger x =-3/2

3 0
3 years ago
Read 2 more answers
2,783 and 7,283<br> The value of 2 in _ is _ times the value of 2 in _. ?
velikii [3]
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4 0
3 years ago
A certain company employs 6 senior officers and 4 junior officers. If a committee is to be created that is made up of 3 senior o
Zigmanuir [339]

Answer:

80

Step-by-step explanation:

A certain company employs 6 senior officers and 4 junior officers. If a committee is to be created that is made up of 3 sr officers and 1 jr officer, how many different committees are possible?

8

24

58

80*

210

I initially got this one wrong, but after I saw the answer which is 80, I was able to solve it. But im not sure if this is the proper way of solving it, or if someone can suggest a more efficient way of solving it?

This is what I did, which was wrong:

Sr Officers + Jr Officers

(6!/3! 3! = 20) + (4!/3! = 4) = 24

It seems like the correct answer is:

Sr Officers X Jr Officers

(6!/3! 3! = 20) x (4!/3! = 4) = 80

If this is the most efficient way of solving, when do you know when to add them as opposed to multiplying them in this case?

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2 years ago
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exis [7]

Answer:

D : All real numbers

R : (-∞,∞)

Step-by-step explanation:

When your x is in a set of absolute value sign, any number can work for x.

As with Domain, you can do the same with range. In this case, you can go from both positive infinity and negative infinity and you will always get a real number solution.

6 0
4 years ago
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