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3 years ago

Which equation has no solution?

Mathematics

1 answer:

Alina [70]3 years ago

7 0

Answer:

The equation which has no solution is 5 + 2(3 + 2x) = x + 3(x + 1) . (see below for work)

Step-by-step explanation:

4(x + 3) + 2x = 6(x + 2)

4x + 12 + 2x = 6(x + 12)

4x + 2x = 6x

6x = 6x

x ∈ ℝ

5 + 2(3 + 2x) = x + 3(x + 1)

5 + 6 + 4x = x + 3(x + 3)

11 + 4x = x + 3x + 3

11 + 4x = 4x + 3

11 = 3

x ∈ ∅ (CORRECT ANSWER)

5(x + 3) + x = 4(x + 3) + 3

5x + 15 + x = 4x + 12 + 3

6x + 15 = 4x + 12 + 3

6x + 15 = 4x + 15

6x = 4x

6x - 4x = 0

2x = 0

x = 0

4 + 6(2 + x) = 2(3x + 8)

4 + 12 + 6x = 6x + 16

4 ÷ 12 = 16

16 = 16

x ∈ ℝ

Hope this helps! :)

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What is the answer to 1-2x=-3x+2

scZoUnD [109]

Answer:

x=1

Step-by-step explanation:

1-2x=-3x+2

-1=-x

1=x

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2 years ago

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Joel wants to buy a new tablet computer from a store having a 20% off sale on all tablets. The tablet he wants has an original c

earnstyle [38]

Answer:

Joel will have to pay $ 159.60 for the tablet.

Step-by-step explanation:

1. Information given to us to answer the question correctly:

Discount percentage of the tablets = 20%

Original cost of the tablet = $ 190

Sales tax = 5%

2. How much will Joel pay for the tablet? Show your work in your notebook. Remember to use $.

Let's find the discounted price and the sales tax for that price, this way:

Discounted price = Original price - Discount

Discounted price = 190 - (190 * 0.2)

Discounted price = 190 - 38 = 152

Sales tax of the discounted price = 152 * 0.05

Sales tax = 7.60

Joel will have to pay = Discounted price + Sales tax

Joel will have to pay = 152 + 7.60

Joel will have to pay = $ 159.60

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3 years ago

Jason bought 3 dozen eggs from the grocery store to bake some cakes how many eggs did Jason buy?

Snowcat [4.5K]

Answer:

He bought 36 eggs

Step-by-step explanation:

3x12=36

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3 years ago

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25 POINTS!!!!!! PLEEASEEEE HELP!!!!!!!!!!!!!!NO LINKS OR SPAMS I already solved half of it pls help on part 4 and down.

vichka [17]

Answer:

Death Valley California

C(t) = -0.30 (0)² + 40

C(t) = 40

C(t) = -0.30 (12)² + 40t – 12)2 + 40

65f

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2 years ago

So I'm currently doing online school due to external circumstances and haven't done this type of problem before. I need help fin

Ann [662]

Answer:

DE ≈ 14.91

Step-by-step explanation:

Make use of the relationships between sides and angles in a right triangle. These are summarized by the mnemonic SOH CAH TOA:

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

The side DE is opposite the angle 19°, so the sine or tangent relation will be involved. The sine relation requires you know hypotenuse EF. The tangent relation requires you know adjacent side DF.

The only common side between triangles CDF and DEF is side DF. That side is opposite the given 61° angle. The given side length (CF = 24) is adjacent to the 61° angle.

This means you have enough information to use these relations:

tan(61°) = DF/CF = DF/24

DF = 24·tan(61°)

and

tan(19°) = DE/DF

DE = DF·tan(19°) = (24·tan(61°))·tan(19°) . . . . . use DF from above

DE ≈ 24(1.804048)(0.344328) ≈ 14.908

The length of DE is about 14.91.

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2 years ago