Solve each equation. Check your solution.
3(n - 7) = -30

Answer:  -6 and 6

Step-by-step explanation:  

Possible factors that could produce 3x² + 6x +3 are  (x + 1)(3x + 3)

the solution for values of x: x+1=0, x= -1  3x+3=0,  3x= -3 . x= -1 . Same.

Possible factors that could produce 3x² - 6x +3 are  (x - 1)(3x - 3)

the solution for values of x: x-1=0, x= 1  3x-3=0,  3x= 3 . x= 1 . Same.

From the attached graph of the possible equations, you can see that 9 and -9 won't produce ONE real solution. They each have "zeros" at two points on the x-axis. That is two solutions that would make x = 0.

The equations with -6 and +6 each touch the x-axis at only one point each.

Answer:

21 moats

Step-by-step explanation:

.70 x 30 = 21

Answer:

A,C,D

Step-by-step explanation:

I got it right :D

Answer:

68

Step-by-step explanation:

derive that 25 percent of 68 equals 17.

Answer:

25 percent of 68 equals 17.

Step-by-step explanation:

Answer:

[tex] y = -\frac{10}{3}x - 23 [/tex]

Step-by-step explanation:

Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 7}{-6 -(-9)} = \frac{-10}{3} = -\frac{10}{3} [/tex]

Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.

Thus:

-3 = (-10/3)(-6) + b

-3 = 20 + b

Subtract 20 from each side

-23 = b

b = -23

substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.

The equation of the line would be:

✅ [tex] y = -\frac{10}{3}x + (-23) [/tex]

[tex] y = -\frac{10}{3}x - 23 [/tex]

Given:

Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit.

6__________ = 170______

To find:

The correct units from grams and ounces for these blanks.

Solution:

We know that, 1 ounce is greater than 1 gram.

1 ounce = 28.3495 grams

Multiply both sides by 6.

6 ounces = 170.097 grams

Approximate the values to the nearest whole number.

6 ounces = 170 grams

Therefore, 6 ounces = 170 grams.

Answer:

2/8 and 1/8

Step-by-step explanation:

Answer:

9 inches; 4.5 inches.

Step-by-step explanation:

Given the following data;

Length of sides of the equilateral triangle = 1.4x + 2 inches.

Length of sides of the hexagon = 0.5x + 2 inches.

We know that the perimeter of a hexagon is given by the formula;

P = 6 * length of sides

Substituting into the equation, we have;

P = 6*(0.5x + 2)

P = 3x + 12

Perimeter of an equilateral triangle is given by the formula;

P = 3 * length of sides

Substituting into the equation, we have;

P = 3(1.4x + 2)

P = 4.2x + 6

Since perimeter of hexagon = perimeter of equilateral triangle. Therefore;

3x + 12 = 4.2x + 6

Rearranging the equation, we have;

12 - 6 = 4.2x - 3x

6 = 1.2x

x = 6/1.2

x = 5

I. To find the length of each sides of the equilateral triangle;

Length of a side = 1.4x + 2

Substituting the value of "x" into the equation, we have;

Length of sides = 1.4*(5) + 2

Length of sides = 7 + 2

Length of sides = 9 inches.

II. To find the length of each sides of the hexagon;

Length of sides = 0.5x + 2

Substituting the value of "x" into the equation, we have;

Length of sides = 0.5*(5) + 2

Length of sides = 2.5 + 2

Length of sides = 4.5 inches.

The side length of the equilateral triangle 9 inches.

The side length of the hexagon 4.5 inches.

The side length of the equilateral triangle = 1.4x + 2

So, the perimeter = 3(1.4x + 2) = 4.2x + 6.

The side length of the hexagon = 0.5x + 2

So, the perimeter = 6(0.5x + 2) = 3x + 12.

Given tha the perimeters are equal.

So,

[tex]4.2x+6=3x+12\\4.2x-3x=12-6\\1.2x=6\\x=5[/tex]

Hence,

The side length of the equilateral triangle = 1.4x + 2 = 1.4(5) + 2 = 9

The side length of the hexagon = 0.5x + 2 = 0.5(5) + 2 = 4.5

Learn more: https://brainly.com/question/13532036

Answer:

6 to the -4th is 7.716 x 10^-4

Step-by-step explanation:

Answer:

5/6 pounds

Step-by-step explanation:

2 1/2=5/2. 1/3 of 5/2=1/3•5/2. 1/3•5/2=5/6.

Answer:

5/3

Step-by-step explanation:

I hope this helps!

Answer: OMG MY HERO ACADEMIA I LOVE YOUR PROFILE PICTURE!!!!!!!!!

Step-by-step explanation: Thanks for the points!!!! :)

Answer:

They have room for 166 more people.

Step-by-step explanation:

485 - 319 = 166

Answer:

166 people.

Step-by-step explanation:

If there is room for 485 and 319 people are coming, just subtract. 485-319=166.

Answer:

We can't set up a proportion to solve for x in a percent equation. For example,   34/100=5/x

Step-by-step explanation:

Answer:

The right answer is 2,403

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

First, subtract 7 from both sides to get x alone. That will give you 4x = 24 .

Then divide both sides by 4 to remove the coefficient of x. That means x = 6.

4x+7=31

    -7   -7

4x=24

÷4   ÷4

x  =  6

Answer:

259,459,200 ways.

Step-by-step explanation:

That is the number of permutations of 8 from 15.

= 15! / 15-8!

= 15! / 7!

= 15*14*13*12*11*10*9*8

= 259459200

Answer:

w^16

Step-by-step explanation:

you have to multiply the exponents when this happens so 4*4=16

The required measure of the height of the card tower at time 10 minutes is 5 inches. option B is correct.

Given that,
This scatters plot shows the height of a card tower and time in minutes used to build it. Based on the information in the scatter plot,

A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).

Here,
From the graph, the measure of the height of the card tower at time 10 minutes is to be more than 5, Following the greatest integer function the measure of the card tower is given as 5 inches.

Thus, the required measure of the height of the card tower at time 10 minutes is 5 inches. option B is correct.

Learn more about scatter plots here: https://brainly.com/question/29231735
#SPJ5

Answer:

x<2

Step-by-step explanation:

5x+10>14x-8

18>9x

2>x

Answer:

We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).

Step-by-step explanation:

Compute the sample mean and sample standard deviation as follows:

[tex]\bar x=\frac{1}{n}\sum X=\frac{54.3 }{8}=6.788\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 11.8288}=1.299[/tex]

Since, the sample standard deviation is computed the t-statistics will be used for the confidence interval.

The critical value of t for (n - 1) degrees of freedom and 92% confidence level is:

[tex]t_{\alpha/2, (n-1)}=t_{0.04, 7}=2.046[/tex]

*Use a t-table.

Compute the 92% confidence interval for the true mean time a student sleeps per night as follows:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}[/tex]

     [tex]=6.788\pm 2.046\times\frac{1.299}{\sqrt{8}}\\\\=6.788\pm 0.9392\\\\=(-0.2504, 1.6080)\\\\\approx (-0.25, 1.61)[/tex]

We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).

Answer:

is there a right angle?

Step-by-step explanation:

2u = u + 43

u = 43?

Answer:

Y2-y1

X2-×1 = m

-12-(-10)

11-5     = -2/3

m= -2/3

Step-by-step explanation:

Answer: X = 57.5

Step-by-step explanation:

3x - 65 + x + 15 = 180

4x - 50 = 180

4x = 230

x = 57.5

Answer:

3x-65 degrees

Step-by-step explanation:

Since the angles are vertical angles, y should equal the same value of the corresponding angle.

Answer:

KP = 6

Step-by-step explanation:

From the information given, K is the centroid.

Therefore, based in the centroid theorem:

KP = ⅓(AP)

AP = 18

Plug in the value of AP into the equation

KP = ⅓(18)

KP = 6

Answer:

7/8 because there are 4 dashes and the point is right in the middle of them, making it so the denominator is 8, you figure out the 7 because 8/8 would be 1, and the point is right before 1 so it has to be 7/8

Step-by-step explanation:

Answer:

D) 7/8

Step-by-step explanation:

I'm also on Edge and am on this same question. Credit to the other person for also saying 7/8 and being right :D

Answer:

30 i believe

Step-by-step explanation:

hope this helps. i say 30 because thats the only common multiple in those numbers :P

Answer:

did you figure out the answer I'm sorry they don't have a comment section on ur photo

Answer:

P(Gum) ≠ P(Gum/Cavity)

Step-by-step explanation:

Answer on Edge