Tina wants to run 123 miles over
7 days. She wants to run the same
distance each day. How far must she
run each day?

Answer: x = 3

Step-by-step explanation:

Simplifying

10x + -4 = 6x + 8

Reorder the terms:

-4 + 10x = 6x + 8

Reorder the terms:

-4 + 10x = 8 + 6x

Solving

-4 + 10x = 8 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-4 + 10x + -6x = 8 + 6x + -6x

Combine like terms: 10x + -6x = 4x

-4 + 4x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0

-4 + 4x = 8 + 0

-4 + 4x = 8

Add '4' to each side of the equation.

-4 + 4 + 4x = 8 + 4

Combine like terms: -4 + 4 = 0

0 + 4x = 8 + 4

4x = 8 + 4

Combine like terms: 8 + 4 = 12

4x = 12

Divide each side by '4'.

x = 3

Simplifying

x = 3

Add

to both sides of the equation

Simplify

Add

to both sides of the equation

Simplify

6

Divide both sides of the equation by the same term

Answer:It should be -46 if im right dont hate if im worng.

Step-by-step explanation:

Answer:

feed them to the lions

Step-by-step explanation:

rawr

answer is 10

if not then im srry

Answer:

5 gallons

Step-by-step explanation:

Answer:

[tex]\boxed{x = 2+2\sqrt{6} ~~or~~x = 2 - 2 \sqrt{6} }[/tex]

.

Step-by-step explanation:

To find x, use pythagoras form

[tex]c^2 = a^2 + b^2[/tex]

[tex](x + 4)^2 = x^2 + (x + 1)^2[/tex]

[tex]x^2 + 8x + 16 = x^2 + x^2 + 2x + 1[/tex]

[tex]2x^2 + 2x + 1 - x^2 - 8x - 16 = 0[/tex]

[tex]x^2 - 6x - 15 = 0[/tex]

[tex]x^2 - 6x = 15[/tex]

[tex](x - 3)^2 - 9 = 15[/tex]

[tex](x - 3)^2 = 15 + 9[/tex]

[tex](x - 3)^2 = 24[/tex]

[tex]x - 2 = \pm \sqrt{24}[/tex]

[tex]x = 2 \pm 2\sqrt{6}[/tex]

.

[tex]x_1 = 2 + 2\sqrt{6}[/tex]

[tex]x_2 = 2 - 2\sqrt{6}[/tex]

.

Happy to help :)

Answer:

D. 4x + 4y

Step-by-step explanation:

2x + 2x = 4x

3y + y = 4y

So, 4x + 4y is the answer!

The average rate of change of f(x) on -3 ≤ x ≤ 3 is given to be

(f (3) - f (-3)) / (3 - (-3)) = -2.5

If f (-3) = 14, then

(f (3) - 14) / (3 + 3) = -2.5

(f (3) - 14) / 6 = -2.5

f (3) - 14 = -15

f (3) = -1

Answer:

The hypothesis test should we conduct to answer this research question is:

a. Chi square test of independence

Step-by-step explanation:

The Chi-Square Test of Independence or Association tests the two variables of "if players choose between these three options randomly or if certain options are favored above others."  It determines whether there is an association between the two categorical variables, ascertaining whether the variables are independent or related.  The chi-squared statistic is computed by taking the difference between a pair of observed values and expected values, and squaring the difference,s and then dividing the squared differences by the expected value.  After repeating this process for all the elements involved, the sum is obtained.

Answer:

[tex]1. x=27\\2. x=30[/tex]

Step-by-step explanation:

[tex]1.\ We\ are\ given\ that,\\Point\ W\ belongs\ to\ line\ VX\ or\ Point\ W\ lies\ in\ the\ line\ VX.\\Point\ Y\ belongs\ to\ line\ XZ\ or\ Point\ Y\ lies\ in\ the\ line\ XZ.\\\angle WXY=90\\Now\ let's\ consider\ \triangle XYW.\\We\ observe\ that,\\\angle XWY\ and\ \angle VWY\ form\ a\ linear\ pair\ and\ hence\ are\ supplementary.\\Hence,\\\angle XWY\ + \angle VWY\ =180\\\angle XWY=180- \angle VWY\\Substituting\ \angle VWY=6x\ in\ the\ equation\ (\angle XWY=180- \angle VWY),\\[/tex][tex]\angle XWY=180-6x\\Now\ \ \angle XWY\ and\ \angle WXY\ are\ interior\ angles\ opposite\ to\ \angle WYZ.\\\\Hence,\ from\ the\ 'Exterior\ Angle\ Property',\ we\ know\ that,\ the\\ measure of\ the\ \exterior\ angle\ is\ equal\ to\ the\ sum\ of\ the\ interior\ opposite\\ angles.\\Hence,\\\angle XWY + \angle WXY= \angle WYX\\Substituting\ \angle XWY=(180-6x),\ \angle WXY=90,\ \angle WYX=4x,\\(180-6x)+90=4x\\-6x-4x=-90-180 \\-10x=-270\\x=\frac{-270}{-10}\\x=27[/tex]

[tex]2. We\ are\ given\ that,\\Point\ N\ belongs\ to\ the\ line\ KO\ or\ Point\ N\ lies\ on\ the\ line\ KO.\\\angle LNM=45, \angle ONM=105, \angle NLM=90\\Hence,\\As\ we\ observe\ that,\\\angle LNM,\angle ONM\ and\ \angle KNL\ lie\ on\ the\ line\ KO\ and\ are\ hence,\\ supplementary.\\Hence,\\\angle LNM + \angle ONM\ + \angle KNL =180\\Substituting\ \angle LNM=45, \angle ONM=105,\\45+105+ \angle KNL=180\\150+ \angle KNL=180\\\angle KNL=180-150\\\angle KNL=30[/tex]

[tex]Hence\ by\ considering\ \triangle NML,\\\angle LNM + \angle NLM + \angle NML=180\ [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence\ by\ substituting\ \angle LNM=45, \angle NLM=90,\\45+90+\angle NML=180\\135+\angle NML=180\\\angle NML=180-135\\\angle NML=45\\Now,\ as\ we\ observe\ that\ \angle KNM= \angle KNL+ \angle LNM\\Hence\ by\ substituting\ \angle KNL=30, \angle LNM=45,\\\angle KNM=30+45\\\angle\ KNM=75\\[/tex]

[tex]Now,\ consider\ \triangle\ KNM,\\\angle NKM+ \angle KNM + \angle NMK=180 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence\ substituting\ \angle NKM=45, \angle KNM=75 , \angle NMK=2x,\\45+ 75 + 2x=180\\120+2x=180\\2x=180-120\\2x=60\\x=\frac{60}{2}\\x=30[/tex]

Answer:

Let's solve for a.

2(3x+4)=ax+b

Step 1: Flip the equation.

ax+b=6x+8

Step 2: Add -b to both sides.

ax+b+−b=6x+8+−b

ax=−b+6x+8

Step 3: Divide both sides by x.

ax

x

=

−b+6x+8

x

a=

−b+6x+8

x

Step-by-step explanation:

Answer:

9 scoops

Step-by-step explanation:

If 10 cookies took 2 scoops of flour, then 4 scoops would make 20 cookies, 6 scoops would make 30, 8 scoops would make 40. If you need 5 cookies, then split 2 scoops in half, which would be one scoop. 8 scoops(which is 40 cookies)+ 1 scoop(5 cookies) = 9 scoops (45 cookies)

Answer:

32 students were present.

Step-by-step explanation:

To find out how many students were present in class 8, we have to find out how many students were absent first.

As the question has already provided us, the number of students who are absent would be [tex]40 \cdot 20\%[/tex], which equals to [tex]40 \cdot \frac{20}{100}[/tex] which is 8 students in total who were absent in class 8.

Now that we have found out how many students were absent, simply subtract the number of students who were absent from the total number of students in class 8, which is (40 - 8) = 32 students, and you have the number of students that were present: 32.

Hope this helped!

Given:

Focus of a parabola is (0, -12) and directrix is y = 12.

To find:

The equation of the parabola.

Solution:

General form of a parabola is

[tex](x-h)^2=4p(y-k)[/tex]       ...(i)

where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

Focus is (0, -12).

[tex](h,k+p)=(0,-12)[/tex]

[tex]h=0[/tex]

[tex]k+p=-12[/tex]         ...(ii)

Directrix is y = 12.

[tex]k-p=12[/tex]      ...(iii)

Adding (ii) and (iii), we get

[tex]2k=0[/tex]

[tex]k=0[/tex]

Putting k=0 in (ii), we get

[tex]0+p=-12[/tex]

[tex]p=-12[/tex]

Putting h=0, k=0 and p=-12 in (i).

[tex](x-0)^2=4(-12)(y-0)[/tex]

[tex]x^2=-48y[/tex]

[tex]-\dfrac{1}{48}x^2=y[/tex]

Therefore, the required equation of parabola is [tex]y=-\dfrac{1}{48}x^2[/tex].

Answer:

Step-by-step explanation:

9. 31 + 5 = 36

10. 16 - 4 = 12

11. 28 - 1 = 27

12. 9

13. 34 + 44 = 78

14. 101 - 1 = 100

Answer:

12 hours

Step-by-step explanation:

1. Start by dividing $265.60 by 16 hours to calculate the amount earned per hour.

$265.60 / 16 hours = $16.60/hr

2. Now, divide the new amount earned by her hourly wages (16.60)

199.20/16.60 = 12 hours

Answer:

need a thanks

Step-by-step explanation:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A = 1 2 b h is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

The total surface area of the triangular prism is 240 m².

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The total surface area of a triangular prism.

= Perimeter x length + base x height

= (6 + 6 + 8) x 10 + 8 x 5

= 20 x 10 + 40

= 200 + 40

= 240 m²

Thus,

The total surface area is 240 m².

Learn more about prism here:

https://brainly.com/question/12649592

#SPJ2

Answer:

8,20,24

Step-by-step explanation:

these numbers they make 52

Answer:

3

Step-by-step explanation:

12/4=3

Answer:

4/3 cups or 1 1/3 cups

Step-by-step explanation:

4 cups                x cups

----------------- = --------------

12 people           4 people

Using cross products

4 * 4 = 12x

16 = 12x

Divide each side by 12

16/12 = x

4/3 = x

1 1/3 cups

Answer:

b,0,1

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation:

divide the length value by 1000

Answer:

math way

Step-by-step explanation:

Answer:Feudalism helped protect communities from the violence and warfare that broke out after the fall of Rome and the collapse of strong central government in Western Europe. Feudalism secured Western Europe's society and kept out powerful invaders. Feudalism helped restore trade. Lords repaired bridges and roads.

Step-by-step explanation: