What is 4(2 + a) = 24
a=

Answer:

2/8 and 1/8

Step-by-step explanation:

Answer:

The discount is $49.90 the final price is $449.10

Step-by-step explanation:

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:

x<2

Step-by-step explanation:

5x+10>14x-8

18>9x

2>x

Answer:

b, k = -4

Step-by-step explanation:

3/2 = k + 11/2

=> 3/2 - 11/2 = k

=> -8/2 = k

=> k = -4

Answer:

the answer to this problem is -4

Answer:

Calloway Peak is 6,464 Feet. And Flat Rock is 4061.5 Feet

Step-by-step explanation:

For Calloway Peak Started at 0 so 4646.4+1817.6=6,464

Zen then descends which means he walked back down 2402.5 feet.

To find Flat Rock you subtract the height of Calloway Peak by 2402.5 the amount that he walked back down to get how tall Flat Rock is in Feet

6464-2402.5=4061.5 Feet

So Flat Rock is 4061.5 Feet tall.

Answer:

[tex]\iint_D 8y^2 \ dA = \dfrac{88}{3}[/tex]

Step-by-step explanation:

The equation of the line through the point [tex](x_o,y_o)[/tex] & [tex](x_1,y_1)[/tex] can be represented by:

[tex]y-y_o = m(x - x_o)[/tex]

Making m the subject;

[tex]m = \dfrac{y_1 - y_0}{x_1-x_0}[/tex]

∴

we need to carry out the equation of the line through (0,1) and (1,2)

i.e

y - 1 = m(x - 0)

y - 1 = mx

where;

[tex]m= \dfrac{2-1}{1-0}[/tex]

m = 1

Thus;

y - 1 = (1)x

y - 1 = x ---- (1)

The equation of the line through (1,2) & (4,1) is:

y -2 = m (x - 1)

where;

[tex]m = \dfrac{1-2}{4-1}[/tex]

[tex]m = \dfrac{-1}{3}[/tex]

∴

[tex]y-2 = -\dfrac{1}{3}(x-1)[/tex]

-3(y-2) = x - 1

-3y + 6 = x - 1

x = -3y + 7

Thus: for equation of two lines

x = y - 1

x = -3y + 7

i.e.

y - 1 = -3y + 7

y + 3y = 1 + 7

4y = 8

y = 2

Now, y ranges from 1 → 2 & x ranges from y - 1 to -3y + 7

∴

[tex]\iint_D 8y^2 \ dA = \int^2_1 \int ^{-3y+7}_{y-1} \ 8y^2 \ dxdy[/tex]

[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \int ^{-3y+7}_{y-1} \ y^2 \ dxdy[/tex]

[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( \int^{-3y+7}_{y-1} \ dx \bigg) dy[/tex]

[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( [xy^2]^{-3y+7}_{y-1} \bigg ) \ dy[/tex]

[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( [y^2(-3y+7-y+1)]\bigg ) \ dy[/tex]

[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ([y^2(-4y+8)] \bigg ) \ dy[/tex]

[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( -4y^3+8y^2 \bigg ) \ dy[/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [\dfrac{ -4y^4}{4}+\dfrac{8y^3}{3} \bigg ]^2_1[/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [ -y^4+\dfrac{8y^3}{3} \bigg ]^2_1[/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [ -2^4+\dfrac{8(2)^3}{3} + 1^4- \dfrac{8\times (1)^3}{3}\bigg][/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [ -16+\dfrac{64}{3} + 1- \dfrac{8}{3}\bigg][/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [ -15+ \dfrac{64-8}{3}\bigg][/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [ -15+ \dfrac{56}{3}\bigg][/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [ \dfrac{-45+56}{3}\bigg][/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [ \dfrac{11}{3}\bigg][/tex]

[tex]\iint_D 8y^2 \ dA = \dfrac{88}{3}[/tex]

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

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

Answer:I believe left

Step-by-step explanation:

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

Cevap:

68 bölü 8, bundan çıkardığım şey, yanılıyorsam cevabımı sil. Ancak 68 bölü 8 = 8,5

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:

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:

From the graph,

it is clear that the slope and y-intercept  have been changed.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the equation of a line

y = 7x + 3

comparing with a slope-intercept form of the line equation

y = mx+b

Here,

The slope = m = 7

y-intercept  = b = 3

Now, the equation changed to y = 2x + 6

y = 2x + 6

comparing with a slope-intercept form of the line equation

y = mx+b

Here,

The slope = m = 2

y-intercept  = b = 6

Thus, if the equation was changed to y = 2x + 6, the slope and y-intercept also get changed from m = 7 to m = 2 and b = 3 to b = 6 respectively.

The lines of both equations is also attached.

From the graph,

it is clear that the slope and y-intercept  have been changed.

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:

If you are asking for just an arbitraty sequence, here it goes:

[tex]a_n=\{3,-5,-8,1,1,1,1,\dots\}[/tex]

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]

Answer:

Slope: -3/2          Y-intercept: (0, -9/2)

Step-by-step explanation:

~ Hope this helps ~

Answer:

96

Step-by-step explanation:

Given that :

Standard deviation (s) = 2km

Error in estimation is within 0.4 km ; Error (E) = 0.4 km

Using the relation :

Sample size = ((Zα/2 * s) /E)^2

Using α = 0.05

The Zcritical at 0.05 = Z0.025 = 1.96

Sample size = ((1.96 * 2) / 0.4)^2

Sample size = (3.92 / 0.4)^2

Sample size = 9.8²

Sample size = 96.04

Required sample size = 96

Answer:

is there a right angle?

Step-by-step explanation:

2u = u + 43

u = 43?

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 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