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Lera25 [3.4K]
3 years ago
13

|x| + 4 > 7 plz help and hurry

Mathematics
1 answer:
Talja [164]3 years ago
4 0

Answer:

The solution is (-\infty,-3)\cup(3,\infty).

Step-by-step explanation:

Given:

The inequality given is:

|x|+4>7

In order to simplify for 'x', we first isolate 'x' on one side.

Adding -4 on both sides, we get:

|x|+4-4>7-4\\\\|x|>3

Now, |x| is an absolute value function which is defined as:

|x|=\left \{ {{-x}\ \ x

Therefore, the given inequality can be rewritten as:

-x > 3\\x and x > 3

Therefore, the solution is (-\infty,-3)\cup(3,\infty).

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Dons signature coffee blend is 60% dark roast and 40% light roast. He has 10 kg of blend A, which is 80% dark roast and 20% ligh
astraxan [27]

Answer

Find out the how many kilograms of blend A will don need to use to make 10 kg of his signature blend .

To proof

As given

Dons signature coffee blend is 60% dark roast and 40% light roast.

He has 10 kg

60 % is written in the decimal form

= \frac{60}{100}

= 0.6

40 % is written in the decimal form

= \frac{40}{100}

= 0.4

Now 60% dark roast of  10 kg = 0.6 ×10

                                                 = 6 kg

Now 40% of  10 kg = 0.4 × 10

                               = 4 kg

As given

He has 10 kg of blend A, which is 80% dark roast and 20% light roast  i.e 80% of the 6kg is dark roast and 20% of the  4kg is light roast .

80% is written in the decimal form

= \frac{80}{100}

= 0.8

80% of the 6kg is dark roast = 0.8 × 6

                                                = 4.8 kg

20% is written in the decimal form

= \frac{20}{100}

= 0.2

20% of the 4kg is light roast = 0.2 × 4

                                               = .8kg

Total kilograms of blend A will don need to use to make 10 kg of his signature blend =  4.8 kg + .8 kg

                          = 5.6 kg

Hence proved




 


8 0
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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