Rearrange the equation so n is the independent variable.
3m-2n=12

9514 1404 393

Answer:

  (x, v) ∈ {(-3, -6), (-3, 6), (3, -6), (3, 6)}

Step-by-step explanation:

For a quick and easy answer, my "work" is to use a graphing calculator.

  (x, v) = (±3, ±6) . . . . in all 4 combinations

__

Add double the second equation to the first.

  (5x^2 -4v^2) +2(2x^2 +2v^2) = (-99) +2(90)

  9x^2 = 81

  x^2 = 9

Substituting this into the second equation gives ...

  2(9) +2v^2 = 90

  2v^2 = 72

  v^2 = 36

So, (x^2, v^2) = (9, 36). Taking square roots, we get ...

  (x, v) = (±3, ±6) . . . . in all combinations

Answer:

Step-by-step explanation:

If there are already 3 fish in the aquarium. Then the number of fish in the aquarium should be less than 2.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

There must be fewer than 5 fish in the small aquarium. There are already 3 fish in the aquarium. Then the inequality equation will be

Let the number of fish in the aquarium be x. Then the inequality equation will be

x < 5

But there are already 3 fish in the aquarium, then we have

x - 3 < 2

Then the number of fish in the aquarium should be less than 2.

More about the inequality link is given below.

https://brainly.com/question/19491153

Answer:

d = √85

Step-by-step explanation:

Here use the distance formula.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{Substitute the values.}\\d = \sqrt{(0-(-6))^2+(0-(-7))^2}\\\text{Subtract by negative, which is adding.}\\d=\sqrt{(6)^2+(7)^2}\\\text{Apply the powers of 2.}\\d=\sqrt{36+49}\\\text{Add.}\\d=\sqrt{85}[/tex]

Answer:

the second and last one

....................

Answer:

Answer: x=65

Step-by-step explanation:

Since they're vertical angles both sides are equal to 145 degrees

So, 145-15= 130 to get rid of the constant

Then, 130/2=65

To check you work add up all of your solutions to get 145

2*65=130 & 130+15=145

Therefore, x=65

Answer:

x=4

Step-by-step explanation:

The two angles together are complementary, which means they add up to 90 degrees

solving for x:

9x+4x+38=90

9x+4x=13x

13x+38=90

13x+38-38=90-38

13x=90-38

13x=52

x=4

hope this helps ^D^

Answer:

9x=4x+38

5x=38

x=38/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Do not reject H0. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders

Step-by-step explanation:

The null hypothesis is that  the mean days surfed for all long boarders is larger than the mean days surfed for all short boarders

H0:  μL > μs      against the claim Ha:  μL≤ μs

the alternate hypothesis is the mean days surfed for all long boarders isless or equal to  the mean days surfed for all short boarders (because long boards can go out in many different surfing conditions)

The test statistic is

t= x1- x2/  √s1/n1+ s2/n2

1) Calculations

Longboards

Mean

ˉx=∑x/n=4+8+9+4+9+7+9+6+6+11+15+13+16+12+10+12+18+20+15+10+15+19+21+9+22+19+23+13+12+10/30

=377/30

=12.5667

Longboard Variance S2=[∑dx²-(∑dx)²/n]/n-1

=[831-(-13)²/30]/29

=831-5.6333/29

=825.3667/29

=28.4609

Shortboard Mean

ˉx=∑x/n=6+4+6+6+7+7+7+10+4+6+7+5+8+9+4+15+13+9+12+11+12+13+9+11+13+15+9+19+20+11/30

=288/30

=9.6

Shortboard Variance S2=[∑x²-(∑x)²/n]/n-1

=[ 3270-(288)2/30]/29

=3270-2764.8/29

=505.2/29

=17.4207

2) Putting values in the test statistic

t=|x1-x2|/√S²1/n1+S²2/n2

t =|12.5667-9.6|/√28.4609/30+17.4207/30

t =|2.9667|/√0.9487+0.5807

t=|2.9667|/√1.5294

t=|2.9667|/1.2367

t=2.3989

3) Degree of freedom =n1+n2-2=30+30-2=58

4) The critical region is t ≤ t(0.05) (58) =1.6716

5) Since the calculated t= 2.4 does not fall in the critical region t(0.05) (58)  ≤ 1.6716 we do not reject H0.

The p-value is 0.008969. The result is significant at p <0 .05.

Your answer would be C (8,15,17) and E (15,20,15) or is it 25?

Step-by-step explanation:

:)

Answer:

[tex]- 1 \frac{13}{60} [/tex]

Step-by-step explanation:

[tex] - \frac{4}{5} + - \frac{5}{12} \\ \frac{ - 48 - 25}{60} \\ \frac{ - 73}{60} \\ = - 1 \frac{13}{60} [/tex]

Hope this helps you.

Can I have the brainliest please?

Answer:

29 students

Step-by-step explanation:

Given that 20% of the 145 student did not play video games, you take the 145 times .20 and should be able to find the number that did NOT play video games.

[tex]0.2(145) = 29[/tex]

Answer:

31.8%

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

5720 = (1200)(R)(15)

5720 = 18,000R

R = 0.3177777, rounded to 31.8%

Answer:

32%

Step-by-step explanation:

5720/15=381.33 interest per year

principal x interest rate = interest per year

1200 x interest rate =381.33

interest rate = 381.33/1200

interest rate = 32%

Answer: 85

Step-by-step explanation:

360degree for quad

thus

95+85+95 = 275

360-275 = 85

Answer:

S=85°

Step-by-step explanation:

95+85+95= 275

(a square is equaled to 360 degrees so you do this)

360°-275°= 85°

(Take away what the shape/angle is equal to from your findings in your first step) .

Cross multiply:

4 x 6 = 9x

24 = 9x

Divide both sides by 9

X = 24/9

X = 2.7 ( rounded to the nearest tenth)

Answer:

Hello There!!

Step-by-step explanation:

The answer is 52.

hope this helps,have a great day!!

~Pinky~

Step-by-step explanation:

If you are talking about an inverse function f-1(x) of the function f(x), you must remember that, by definition,

f(f-1(x)) = x

So given f(x) = x/4 if I apply an arbitrary K which is equal to f-1(x), then

f(K) = x

K/4 = x

K = 4x

But I want to recover f-1(x), so replace it back.

f-1(x) = 4x

Done

Answer:

27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

k  = 54

Step-by-step explanation:

6 = [tex]\frac{k}{9}[/tex]

multiply both sides by 9 to isolate k

=> k  = 54

Answer:

k = 54

Step-by-step explanation:

[tex]6 = \frac{k}{9}[/tex]

Multiply both sides by 9:

9(6) = k

k = 54

Answer:

m∠G = 31.83°

Step-by-step explanation:

From the triangle FGH,

FH = 6 ft

FG = 11 ft

And measure of the included angle ∠F = 73°

We have to find the measure of ∠G.

By applying law of cosine in the triangle to get the measure of third side GH first,

GH² = FH² + FG² - 2(FH)(FG)cos(∠F)

GH² = 6² + 11² - 2(6)(11)cos(73°)

GH² = 36 + 121 - 38.593

GH = √118.407

GH = 10.88 ft

Now apply sine rule in the given triangle to get the measure of ∠G.

[tex]\frac{\text{sinG}}{FH}=\frac{\text{sinF}}{GH}[/tex]

[tex]\frac{\text{sinG}}{6}= \frac{\text{sin(73)}}{10.88}[/tex]

sin(G) = 0.527374

G = [tex]\text{sin}^{-1}(0.527374)[/tex]

m∠G = 31.83°

Answer:

B. 7√3

Step-by-step explanation:

30-60-90 triangles have special side proportions that would be very beneficial to memorize because I guarantee you will use it in the future.

Please see the attached image.

The answer is 7*√3=7√3

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²

needed to apply

4²+8²=12²

80≠144 not a right angled triangle

again

2²+√5²=3²

9=9/

side are a right angled triangle

again

2²+2²=(√8)²

4+4=8

8=8

side are a right angled triangle

Answer:

[tex]2,\sqrt{5},3[/tex] and [tex]2,2,\sqrt{8}[/tex]

Step-by-step explanation:

G. From the origin move right 3 units,then up 6 units

H. From the origin move left 2 units,then up 11 units

J. From the origin move right 8 units, then down 10 units

K. From the origin move left 16 units, then down 20 units

L. Plot the first point at the origin then move up 5 units

M. From the origin move left 14 units and plot the next point at the origin

Answer:

The negative integers are greater than -12

Answer:

The probability that a man buys the winning ticket is 107/200

Step-by-step explanation:

78 men buy tickets, 93 women buy tickets. If the rest of the tickets are given to men, there are 200-93-78, or 29 tickets left, which go to men. 78 + 29 = 107 men who have tickets.

The probability that a man buys the winning ticket is

number of men with tickets / number of tickets, or

107 / 200.

Answer:

Step-by-step explanation:

he surface area of a cube is equal to 6 times the side length squared.

SA=68^2  

where  SA  is the surface area and  8  is the side length.

If the side length of the cube is 4 cm each, then let  s=4 cm  

So the surface area of the 4-cm-side-length cube is:

SA=6∗(4 cm)^2  

=6∗16 cm^2  

=96 cm^2

Answer:

sorry if I knew I would have told you but follow me