If g(n) varies inversely with n and g(n) = 8 when n = 3, find the value of n when g(n) = 6.
24
17
0
4

A graph of the line with slope 2/5 and passing through the point (-2, 4) is shown on the coordinate plane in the image below.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

At data point (-2, 4) and a slope of 2/5, an equation for this line can be calculated by using the point-slope form as follows:

[tex]y - y_1 = m(x - x_1)[/tex]

y -  4 = 2/5(x - (-2))  

y -  4 = 2/5(x + 2)

y = 2/5(x) + 4/5 + 4

y = 2/5(x) + 24/5

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Answer:

Gas mileage is the number of miles you can drive

Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 600 miles on 20 gallons of gas.

Step-by-step explanation:

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Answer: 275

Step-by-step explanation:

Let the total number of hamburger be x and the total number of cheeseburgers be y. That is

x + y = 500 ................... equation 1

Since there were 50 fewer cheeseburgers sold than hamburgers, this means that the number of hamburgers sold is more than cheeseburgers by 50 , that is

x - y = 50 ............. equation 2

solving the resulting linear equation by substitution method;

From equation 2 , make x the subject of the formula , that is

x = 50 + y ................ equation 3

substitute equation 3 into equation 1 , we have

50 + y + y = 500

50 + 2y = 500

2y = 500 - 50

2y = 450

y = 450/2

y = 225

substitute y = 225 into equation 3 to find the value of x. we have

x = 50 + y

x = 50 + 225

x = 275

Therefore 275 hamburgers were sold

Answer:

slope is 1 and y-intercept is 3

Step-by-step explanation:

equation is in the format y=mx+c

c = y-intercept

m = slope

if there is no  number in front of x it is assumed that 1 is in front of x

Answer:

The slope is 1 and the y-intercept is 3

Step-by-step explanation:

y = x+3 has the form y = mx + b.  If we compare these two equations, it becomes readily apparent that m = 1 and b = 3.

The slope is 1 and the y-intercept is 3 (or    (0, 3)     )

7.

y + 8x = -2

f(x) = y = -8x - 2

f(0)=-2, f(1)=-10, f(2)=-18, f(-2)=14

8.

12x + 3y = 15

3y = -12x + 15

f(x) = y = -4x + 5

f(-1)=9, f(0)=5, f(1)=1

9.

y - 3x = 9

f(x) = y = 3x + 9

f(-2)=3, f(0)=9, f(2)=15

10.

0.4y + 2x = 1.2

4y + 20x = 12

4y = -20x + 12

f(x) = y = -5x + 3

f(-3) = 18, f(0)=3

Answer:

[tex]x=16[/tex]

 Lenght of the equal sides: [tex]71\ units[/tex]

Step-by-step explanation:

You can observe in the picture that the triangle have two angles that have equal measure; therefore, it is an Isosceles triangle.

By definition, Isosceles triangles have two equal angles and two equal sides.

Based on this, you can write the following equation:

[tex]9x-73=3x+23[/tex]

Solving for "x", you get this value:

[tex]9x-3x=23+73\\\\6x=96\\\\x=\frac{96}{6}\\\\x=16[/tex]

Finally, you can subsitute the value of "x" into any expression to find the lenght of the equal sides:

[tex]3(16)+23=71\ units[/tex]

Answer:

First Side  = 21 units

Second side = 21 units

Third side  = 21 units

Step-by-step explanation:

Here, the three sides of the equilateral triangle are:

(2 x-7) cm , ( x + y - 9) cm and ( y + 5) cm

Now, a triangle is said to be an EQUILATERAL TRIANGLE if all three sides of the triangles are equal in the measure.

⇒ For the given triangle to be equilateral:

(2 x-7)   =  ( x + y - 9)  =  ( y + 5)

Consider third and second term, we get:

x + y -9  = y + 5

or, x - 9  = 5  

⇒  x = 9 + 5  = 12, or x = 14

Also,from first and second   term :

(2 x-7)  =  ( x + y - 9)  

⇒ 2(14) - 7 =  (14 + y) - 9

⇒ 28  - 7 -14 + 9 = y

or, y = 16

Hence, First Side =  2 x - 7 = 2(14) - 7 = 21 units

Second side = x + y - 9 = 14+ 16  - 9 = 21 units

Third side =  y + 5 = 16 + 5 = 21 units

Answer:

They are equal.

Step-by-step explanation:

-4/5=-8/10

Answer:240 km

Step-by-step explanation: 600 ÷5 = 120, 120 × 2 = 240 km

I think that's the answer I'm not sure but hope this helps ;)

You first add 92+20. You will get 112. So 112 seashells collected.

Answer:

A. 2- i

Step-by-step explanation:

Answer:

2 + i

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think its 500%

but im not sure

because 20 divided by 4 = 5

and 5.0 = 500%

Answer:

 The percent change is 400%

Explanation:

We know that percentage change is given by the

[tex]\frac{change in value}{absolute value of the original value} \times 100[/tex]

i.e we find the difference between the original value and current value and then divide it by original value and multiply the obtained value with 100.

a negative percentage change indicates increase in value.

so we get 4 - 20 = -16

[tex]\frac{-16}{4}[/tex] = -4

[tex]-4 \times[/tex] 100 = -400

hence there is an increase of 400% in the percentage which is the required percentage.

Answer:lll(3) Quadrant lll

Step-by-step explanation:Quadrant 3 is the quadrant where the imaginary part of a number and the real part of a number are both negative and in this number they both are.

Answer:

A=28.25 is the rounded form of the answer.

A = 28.245673384359 in^2

Answer:

Area: 28.25

Step-by-step explanation:

Area = Circumference^2

4 (pi)

18.84^2 = 354.9456

4(pi) = 12.5663706144

354.9456 ÷ 12.5663706144 = 28.2456733843

Rounded to the nearest hundreth, the 5 in the thousandths place converts the 4 in the hundreths place into 5.

Answer:

66.67%

Step-by-step explanation:

Marie's earnings at a new job : $15 per hour

Her earnings during training : $10 per hour

percentage of Marie's regular rate earned by her during training

                 = [tex]\frac{Her\ earnings\ during\ training}{Her earning\ at\ a\ new\ job}[/tex]×100

                 = [tex]\frac{10}{15}[/tex]×100

                 = [tex]\frac{200}{3}[/tex]

                 = 66.67%

∴percentage of Marie's regular rate earned by her during training = 66.67%

Final answer:

To find what percentage of Marie's regular rate she will earn during training, divide her training rate by her regular rate and multiply by 100%.

Explanation:

Marie will earn $10 per hour during training. Her regular rate is $15 per hour. To calculate what percentage of her regular rate she will earn during training, we use the formula: percentage = (training rate / regular rate) * 100%. Plugging in the values, we get (10 / 15) * 100% = 66.67%. Therefore, Marie will earn 66.67% of her regular rate during training.

Answer:

D. [tex]3m^2+m-5[/tex]

Step-by-step explanation:

A trinomial expression is a polynomial expression with three terms.

The term with the highest power of variable is called the leading term and the co-efficient of this term is called the leading co-efficient.

The alone number without any variable in the expression is called the constant.

Example of a trinomial:

[tex]5x^2+2x+4[/tex]

Leading co-efficient = 5

Constant = 4

A trinomial with a leading coefficient of 3 and a constant term of -5 from the given choices is:

D. [tex]3m^2+m-5[/tex]

Answer: $50.00

Step-by-step explanation:

Org. Price- $40.00

10% - $4.00

1% - $0.40

8% - $3.20

Tax - $3.20

10% + 8% - 1% = 17%

4.00 + 3.20 - 0.40 = 6.80

Tip - $6.80

$40.00 + $3.20 + $6.80 = $50.00

Answer:

y=-7

x=6

Step-by-step explanation:

If you subtract 3x from both equations, you get -4y=28, which means that y=-7. When you substitute it back in, you get the x-value of 6.

Answer:

(17.42 ; 22.38)

Step-by-step explanation:

To construct a confidence interval we use the following formula:

ci = (sample mean) +- z*(sd)/[n^(1/2)]

The sample mean is 19.9 and the standard deviation is 6. The sample has a n of 16. We have to find the value of z which is the upper (1-C)/2 critical value for the standard normal distribution. Here, as we want a confidence interval at a 90% we have (1-C)/2=0.05 we have to look at the 1-0.05=0.95 value at the normal distribution table, which is 1.65 approximately. Replacing all these values:

ci: (sample mean - z*(sd)/[n^(1/2)] ; sample mean + z*(sd)/[n^(1/2)])

ci: (19.9 - 1.65*6/[16^(1/2)] ; 19.9 + 1.65*6/[16^(1/2)])

ci: (19.9 - 9.9/4] ; 19.9 + 9.9/4)

ci: (19.9 - 2.48 ; 19.9 + 2.48)

ci: (17.42 ; 22.38)

To find a 90% confidence interval for the mean time, we can use the formula C-I = x ± z * (σ/√n). Using the given sample mean, sample standard deviation, and sample size, the 90% confidence interval is approximately (17.43, 22.37) minutes.

To find a 90% confidence interval for the mean time, we can use the formula:

C-I = x ± z * (σ/√n)

Where:

Since the population standard deviation is unknown, we can use the sample standard deviation as an estimate. The z-score corresponding to a 90% confidence level is approximately 1.645.

Plugging in the given values:

C-I = 19.9 ± 1.645 * (6/√16)

C-I = 19.9 ± 1.645 * 1.5

C-I = 19.9 ± 2.46875

Therefore, the 90% confidence interval for the mean time is approximately (17.43, 22.37) minutes.

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Answer:

A = 1/3b

Step-by-step explanation:

Divide each side by 12b to isolate the variable "a". This leaves a = 4/12b. This can be simplified to 1/3b.

Steps to solve:

12ab/12b = 4/12b (Divide 12/b to both sides)

a = 4/12b

a = 1/3b (Answer)

______

Best Regards,

Wolfyy :)

Answer:

24 : 8 ≡ 39 : 13

Step-by-step explanation:

We are given two proportion relation and we have to determine whether they are equivalent or not.

Now, the first proportion is 24 : 8

So, the simplified proportion will be 24 : 8 = 8 × 3 : 8 = 3 : 1

Again the second proportion is 39 : 13

So, the simplified proportion is 39 : 13 = 13 × 3 : 13 = 3 : 1

Therefore, the two given proportions are equivalent i.e. 24 : 8 ≡ 39 : 13. (Answer)

Answer:

The exact volume of a cone is 10 yd³.

Step-by-step explanation:

Given:

Height of cone (h) is 6 yd and base (b) is 5 yd.

Now, to get the volume we need to find the radius.

So, to find radius we put the formula of base:

Let the radius be [tex]r[/tex]

Base=[tex]\pi r^2[/tex]

[tex]b=\pi\times r^{2}[/tex]

[tex]5=\pi\times r^{2}[/tex]

Dividing both sides by π and using square root on both the sides:

[tex]5\div \pi=(\pi \times r^{2}) \div \pi[/tex]

[tex]\frac{5}{\pi}=r^{2}[/tex]

[tex]\frac{5}{\pi}=r^{2}[/tex]

[tex]r^{2}=\frac{5}{\pi}-----1[/tex]

Now, putting the formula for getting the volume (v) of cone:

Volume = [tex]\pi r^2\frac{h}{3}[/tex]

[tex]v=\pi\times r^{2}\times \frac{6}{3}[/tex]

[tex]v=\pi\times r^{2}\times 2[/tex]

Substituting the value of [tex]r^2[/tex] from equation (1), we get:

[tex]v=\pi\times \frac{5}{\pi}\times 2[/tex]

[tex]v=10[/tex] yd³

Volume of cone is 10 yd³

Therefore, the exact volume of a cone is 10 yd³.

Answer: 2/6 or 1/3

Step-by-step explanation:

2/3 = 4/6. 1 /6 Two times is 2/6 so by subtracting you should get 2/6 or 1/3

Answer:

Step-by-step explanation:The sum of three consecutive odd numbers is 183. Find the numbers. 57; 59; 67 59; 61; 63 60; 61; 62 65; 67; 69.

Answer:

x = 70°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an external angle of the triangle, thus

x + 50 = 120 ( subtract 50 from both sides )

x = 70

Answer:

X= 0

Step-by-step explanation:

Answer:

No Solution.

Step-by-step explanation:

3x-7=3x+1

3x-3x-7=1

0-7=1

-7=1

no solution

Answer:

the slope is 4

Step-by-step explanation:

y=mx+ c

m=4

c=-5

Answer:y intercept :5

Step-by-step explanation:

slope-4

Answer:

I am not sure what you mean by same line but a CO planar point have to both share the same plane so not necessarily the same ray or line segment but it has to be on the same plane

Step-by-step explanation: