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The correct answer is 6 planets

Explanation:

The image presented shows the ratio of planets in solar system A vs those in solar system B. In this way, the general ratio is 3 : 4 or 3 to 4; this means for each 4 four planets in solar system B there are 3 planets in solar system A and vice versa. Now, to find the total of planets in system A if there are 8 planets in system B, follow this process:

8 planets / 4 = 2 planets - This means each of the sections in the diagram represents 2 planets

2 section x 3 = 6 planets as in the solar system A there are 3 sections and each of this represents 2 planets, the total of planets in this system are 6

This result can also be found by converting the ratio to a fraction and multiplying this by the 8 planets

8 planets x [tex]\frac{3}{4} = \frac{24}{4} = 6[/tex]

Answer:

y=1x+1

Slope is 1

Step-by-step explanation:

Slope = rise/run.

We go up 1 and run 1. The slope is 1.

Let me double check.

The line passes through the points (-1,0) and (0,1).

m = delta y ÷ delta x

m = (0 - 1)/(-1 - 0)

m = -1/-1

m = 1

Yep. The slope is 1.

Answer:

[tex]\boxed {x = 4}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]7x - 21 = x + 3[/tex]

-Take [tex]x[/tex] and subtract it from [tex]7x[/tex]:

[tex]7x - 21 - x = x - x + 3[/tex]

[tex]6x - 21 = 3[/tex]

-Add both sides [tex]21[/tex]:

[tex]6x - 21 + 21 = 3 + 21[/tex]

[tex]6x = 24[/tex]

-Divide both sides by [tex]6[/tex]:

[tex]\frac{6x}{6} = \frac{24}{6}[/tex]

[tex]\boxed {x = 4}[/tex]

Thus, the value of [tex]x[/tex] is [tex]4[/tex].

Answer:

After solving the equation [tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex] we get x=-2 and x= 4 i.e {-2,4}.

Option B is correct.

Step-by-step explanation:

We need to solve [tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex]

Solving:

[tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex]

Cross multiply

[tex](x-2)(x+4)=x*4[/tex]

Multiplying:

[tex]x(x+4)-2(x+4)=4x\\x^2+4x-2x-8=4x\\x^2+2x-8-4x=0\\x^2-2x-8=0[/tex]

Now, we have got quadratic equation [tex]x^2-2x-8=0[/tex]

Solving this quadratic equation using quadratic formula

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]

We have a=1, b=-2 and c=-8 Putting values

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(1)(-8)}}{2(1)}\\x=\frac{2\pm\sqrt{4+32}}{2}\\x=\frac{2\pm\sqrt{36}}{2}\\x=\frac{2\pm6}{2}\\x=\frac{2+6}{2} \ or \ x=\frac{2-6}{2}\\x=\frac{8}{2} \ or \ x=\frac{-4}{2}\\x=4 \ or \ x=-2[/tex]

So,after solving the equation [tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex] we get x=-2 and x= 4 i.e {-2,4}.

Option B is correct.

Answer:

[tex]-2^{\circ}\text{F}[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the temperature on the first day

Second day temperature

[tex]x+7[/tex]

Third day temperature

[tex]x+7-10[/tex]

Fourth day temperature was [tex]1^{\circ}\text{F}[/tex]

[tex]x+7-10+6=1\\\Rightarrow x+3=1\\\Rightarrow x=1-3\\\Rightarrow x=-2^{\circ}\text{F}[/tex]

On the first day the temperature was [tex]-2^{\circ}\text{F}[/tex]

Answer:

B and D

Step-by-step explanation:

Answer:

6(2x-6)=-7(-2x+4)

6×2x-6×6=-7×(-2x)-7×4

12x-36= 14x -28

12x-14x= -36+28

-2x= -8

x= -8/-2

x= 4

Step-by-step explanation:

4

Answer:

Step-by-step explanation:

Let x and y be the number of plants bought. Then we have equations:

Substituting y in the first equation:

Correct option is the second one

Answer:

4

Step-by-step explanation:

4/5 x 5  

Answer:

the last one.

(x^3)^3--3^2

x^6-3^2

x^6-9

(x^3)^3--3^2

Step-by-step explanation:

Answer:

1st choice Music Equation: [tex]\$(x+5)[/tex]

Superstar Music Club Equation: [tex]\$3.50x[/tex]

Solution: 2

Step-by-step explanation:

Given that:

1st choice music club:

Charges for one song = $1

Charges for sign - up = $5

Let the number of songs = [tex]x[/tex]

Total cost = [tex]\$5+\$1\times x = \$(x+5)[/tex]

Superstar music club:

No sign up fee and

Charges for one song = $3.50

Total cost = [tex]\$3.50x[/tex]

Given that, cost of each music club becomes equal:

Putting them same:

[tex]x+5=3.5x\\\Rightarrow 2.5x = 5\\\Rightarrow \bold{x =2}[/tex]

After 2 songs, the cost of both the clubs will become equal.

Answer:

Step-by-step explanation:

What's the answer?

Answer:

Step-by-step explanation:

Tgjh +=%##

Answer:

This is the given information for which system of equations would be used to find out how many dimes and quarters Amir has?

x = dimes          x = 0.10 or 0.1

y = quarters      y = 0.25

31 coins

worth $5.20       = 5.2

x + y = 31

0.1x + 0.25y = 5.2

Step-by-step explanation:

Answer:

f-96=124

Step-by-step explanation:

This is the equation of the sentence that has been mentioned.

Answer:

The time the ball will hit the ground is 1.4s

Step-by-step explanation:

Given;

function of the ball's motion; h(t)= -5t²+ 14t + 3h

The final velocity of the ball, v , is given as;

v = dh/dt

v = -10t + 14

When the ball hits the​ ground, the final velocity, v = 0

v = -10t + 14

0 = -10t + 14

10t = 14

t = 14 / 10

t = 1.4s

Therefore, the time the ball will hit the ground is 1.4s

Answer:

The width of the garden is 12 feet.

The length of the garden is 20 feet.

Step-by-step explanation:

Let l be the length and w be the width

Then according to given statements

[tex]l = 2w-4\ \ \ Eqn\ 1[/tex]

Second equation is:

[tex]2l+2w = 64\ \ \ \ Eqn\ 2[/tex]

Putting l = 2w -4 in equation 2

[tex]2(2w-4)+2w = 64\\4w-8+2w = 64\\6w -8 = 64\\6w = 64+8\\6w = 72\\\frac{6w}{6} = \frac{72}{6}\\w = 12[/tex]

Putting w = 12 in equation 1

[tex]l = 2(12)-4 = 24-4 = 20[/tex]

Hence,

The width of the garden is 12 feet.

The length of the garden is 20 feet.

Answer:

6 feet

Step-by-step explanation:

Consider the right triangle formed by the wall, ladder and ground.

Let the distance the ladder is from the wall be d , then

Using Pythagoras' identity in the right triangle

The square on the hypotenuse ( ladder) is equal to the sum of the squares on the other 2 sides ( wall and d ), then

d² + 8² = 10²

d² + 64 = 100 ( subtract 64 from both sides )

d² = 36 ( take the square root of both sides )

d = [tex]\sqrt{36}[/tex] = 6

That is the ladder is 6 feet away from the wall

Answer:

3

Step-by-step explanation:

Answer:

hi do You have Instagram?

9514 1404 393

Answer:

Step-by-step explanation:

The downward-sloping line has a y-intercept of 1 and a slope of -2, so its equation is ...

  y = -2x +1

The graph is shaded on and above that line, so the inequality it represents is ...

  y ≥ -2x +1

__

The upward-sloping line has a y-intercept of +4 and a slope of +2, so its equation is ...

  y = 2x +4

The graph is shaded on and below that line, so the inequality it represents is ...

  y ≤ 2x +4

Then the system of inequalities is ...

  y ≥ -2x +1

  y ≤ 2x +4

Answer:

i think so

Step-by-step explanation:

everyting looks good to me cuz that would be what my answer was?

Answer:b

Step-by-step explanation:

Answer: B.

Step-by-step explanation:

The whole assignment?

The graph is attached in the figure where the area between the curves has been shaded. As can be seen, the triangle formed is a right triangle whose lengths of its legs is 7. Therefore, its area will be:

[tex]A =\dfrac{7\cdot 7}{2} = \dfrac{49}{2} = 24.5\;u^2[/tex]

Answer:

x = 50

Step-by-step explanation:

these are vertical angles meaning they are congruent so

[2(x+10)] = (3x-30) then use distributive property

(2x+20) = (3x-30) subtract 2x from both sides

20 = x - 30 add 30 to both sides

x = 50

Answer:

x = 50

Step-by-step explanation:

We know that 2(x+10) = (3x-30) because it is on opposite sides of an "x".

We just set them equal to each other and solve for x!

2(x+10) = 3x - 30

2x + 20 = 3x - 30

20 = x - 30

50 = x

Step-by-step explanation:

answer is done over here step by step

Answer:

Manny: 37 years old

Jeremey: 35 years old

David: 30 years old

Step-by-step explanation:

First, we must divide 102 by 3, since there are 3 people in this scenario.

102 ÷ 3 = 34

We know that 34 is an estimate of each person's age, but there's still more work to do.

Manny is seven years older than David:

30 + 7 = 37

Jeremey is 2 years younger than Manny:

37 - 2 = 35

37 + 35 + 30 = 102

Hope this helps! :)

Step-by-step explanation:

-2(3x+2)>-8x+6

when eq. is divided by 2,

-3x-2>-4x+3

x >5

The solution set of -2(3x+3)>-8x+6 is {x/x>5}.

Answer:

Its the second one

Step-by-step explanation:

Answer:

the 2nd one

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hi. You need to answer the questions that people have. Just like I'm answering yours, I get some points. This way you get help on your homework and you can help others.