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2 years ago

Turn and Talk How are solving 2x + 4 = 20 and 2x - 4 = 20 alike? How are they different?

Mathematics

1 answer:

hjlf2 years ago

4 0

Answer:

they are both alike because you're dividing both equations by 2 . in both equations you're trying to get the variable by itself .

they are both different because both of the equations have a different x= . in equation 1 you subtract and in equation 2 you would add .

Step-by-step explanation:

For 2x+4=20 you would make +4 negative 4 to get the variable by itself .

then you'd subtract the numbers 20-4=16

then divide both sides by 2 2÷2 and 16÷2

x=8 is your answer

for 2x-4=20 you would make -4 and make it positive 4 to get the variable by itself

then you'd add the numbers 20+4

then divide both sides by 2 2÷2 and 24÷2

x=12

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Please help this is due and i only got the second part done

Ainat [17]

Answer:2n+13=75 n=31

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2 years ago

Four lawn sprinkler heads are fed by a 1.9-cm-diameter pipe. The water comes out of the heads at an angle of 35° above the horiz

klemol [59]

Answer:

Step-by-step explanation:

Given:

Angle, θ = 35°

Vertical distance, Δx = 6 m

Diameter, d = 1.9 cm

= 0.019 m

When the water leaves the sprinkler, it does so at a projectile motion.

Therefore,

Using equation of motion,

(t × Vox) = 2Vo²(sin θ × cos θ)/g

= Δx = 2Vo²(sin 35 × cos 35)/g

Vo² = (6 × 9.8)/(2 × sin 35 × cos 35)

= 62.57

Vo = 7.91 m/s

Area of sprinkler, As = πD²/4

Diameter, D = 3 × 10^-3 m

As = π × (3 × 10^-3)²/4

= 7.069 × 10^-6 m²

V_ = volume rate of the sprinkler

= area, As × velocity, Vo

= (7.069 × 10^-6) × 7.91

= 5.59 × 10^-5 m³/s

Remember,

1 m³ = 1000 liters

= 5.59 × 10^-5 m³/s × 1000 liters/1 m³

= 5.59 × 10^-2 liters/s

= 0.0559 liters/s.

For the 4 sprinklers,

The rate at which volume is flowing in the 4 sprinklers = 4 × 0.0559

= 0.224 liters/s

Area of 1.9 cm pipe, Ap = πD²/4

= π × (0.019)²/4

= 2.84 × 10^-4 m²

Volumetric flowrate of the four sprinklers = 4 × 5.59 × 10^-5 m³/s

= 2.24 × 10^-4 m³/s

Velocity of the water, Vw = volumetric flowrate/area

= 2.24 × 10^-4/2.84 × 10^-4

= 0.787 m/s

7 0

3 years ago

Read 2 more answers

Two spinners are spun. One has 5 sections labeled Red, Orange, Purple, Yellow, and Green. The other has three sections labeled 1

quester [9]

Answer:

$S = 15$ possible outcomes

Step-by-step explanation:

For any experiment, the sample space of this experiment is the set of all the possible results of the experiment.

In this case we have two spinners. The first has 5 colors, by spinning the spinner you can get up to 5 different results. Therefore the sample space is $S_1 = 5$

For the second spinner there are 3 possible results. By spinning the spinner you can get the numbers 1, 2 or 3. Then $S_2 = 3$ .

Then, if the two spinners are rotated, the sample space would be:

$S = 5*3$

$S = 15$ possible outcomes.

The tree diagram shown in the attached image shows the 15 possible results

{R, 1} {R, 2} {R, 3} {O, 1} {O, 2} {O, 3} {Y, 1} {Y, 2} {Y, 3} {P, 1} {P, 2} {P, 3} {G, 1}

{G, 2} {G, 3}

4 0

2 years ago

What is the answer for3+8x=4

Schach [20]

Answer: x=1/8

Step-by-step explanation:

Subtract 3 from both sides

3+ 8x=4

8x=1

Divide by 8 on both sides

x=1/8

Hope this helped! :)

3 0

3 years ago

What is the solution to the equation

Tresset [83]

Solution:

Given Expression is 1/40* x = 1/8

Step : Define x in the Equation:

Step : Divide the Equation by 8

Step : Do cross multiplication

Step : Arrange it in particular form

____________________________

☞ 1/40x = 1/8

☞ x/40 = 1/8

☞ x = ⅛ × 40

☞ x = 5

Therefore, Answer is 5.

5 0

3 years ago

Read 2 more answers

Turn and Talk How are solving 2x + 4 = 20 and 2x - 4 = 20 alike? How are they different?​

Turn and Talk How are solving 2x + 4 = 20 and 2x - 4 = 20 alike? How are they different?