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Answer:

y = dependent variable

k = constant of proportionality or constant rate of change

x = independent variable

Step-by-step explanation:

The equation, [tex] y = mx [/tex] represents a direct variation showing a proportional relationship between variable y and variable x.

y represents the dependent variable

k represents the constant of proportionality or constant rate of change

x represents the independent variable

Answer:

Step-by-step explanation:

You can get y and x immediately. z is a bit tricky.

x

The other two angles of a triangle containing x are 100 and 60.

x + 100 + 60 = 180          Add the two terms on the left

x + 160 = 180                  Subtract 160 from 180

x = 180 - 160                   Combine the right

x = 20

y

y is done exactly the same way.

55 + 80  + y  = 180

135  + y =  180

y = 180 - 135

y = 45

z

You have x y and z all in the same triangle.  You know x and y so z can be found in much the same way.

x + y + z = 180

20 + 45 + z = 180

65 + z = 180

z = 180 - 65

z = 115

Answer: x = 20

              y = 45

              z = 115

Step-by-step explanation:

There is one unknown variable in both triangles with known angles.  To find the values of x, y, and z, add both the known angles and subract it from 180 degrees.  The result will be the value of the variable.  When you have both the values of x and y, do the same math to find the value of z.

Step 1: Find the value of x

Add the values of the two known angles in this traingle and subtract it from 180°

80 + 55 = 135

180 - 135 = 45

45° is the value of x

Step 2: Find the value of y

Add the values of the two known angles in this traingle and subtract it from 180°

100 + 60 = 160

180 - 160 = 20

20° is the value of y

Step 3: Find the values of z

Add the values of x and y and subtract it from 180°

45 + 20 = 65

180 - 65 = 115

115° is the value of z

Answer:

The required values are a = 29°, b = 20°

Step-by-step explanation:

Angles and Lines

The image shows two lines crossing at a point where three angles are marked: 57°, 7b-17, and 2a-1.

It can be noted that 57° and 7b-17 are linear angles whose sum is 180°:

57° + 7b - 17° = 180°

Solving for b:

7b = 180° + 17° - 57°

7b = 140°

b = 140°/7 = 20°

b = 20°

It can also be noted that 57° and 2a-1 are vertical angles (opposite angles). Vertical angles are congruent, thus:

57° = 2a - 1°

Adding 1:

2a = 58°

a = 29°

The required values are a = 29°, b = 20°

Answer:

i think your answer would number 1 or number 4

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

Answer:

Shoyo here!

Step-by-step explanation:

10000000000000000000000000000000

Answer:

lol

Step-by-step explanation:

im not even sure try using google

Answer:

The investment cost from ice cream is significantly smaller than the hot dog shop, the man could perhaps opt for something like a hot dog stall.

Step-by-step explanation:

The given values are:

Percentage of being hot summer,

= 40%  

i.e,

= 0.4

So that,

The percentage of being cold,

= 1 - 0.4

= 60%

Now,

From hot dog, the expected profit will be:

⇒ [tex]5000\times P(cold \ summer) + 1000\times P(hot \ summer)[/tex]

On putting the values, we get

⇒ [tex]5000\times 0.6+1000\times 0.4[/tex]

⇒ [tex]3400[/tex]

From ice-cream stall, the profit will be:

⇒ [tex]6500\times P(hot \ summer)+1000\times P(cold \ summer)[/tex]

On putting the values, we get

⇒ [tex]6500\times 0.4+1000\times 0.6[/tex]

⇒ [tex]3200[/tex]

So the above is the right response.

Answer: (5,8)

Step-by-step explanation:

So this is a matter of using a system of linear equations

To start if a total of 13 people got a ticket then we know that

x+y=13

x and y being explained in the problem

then if adult tickets are $40 and children tickets are $20 and the total cost is 360 we can set up the next equation

40x+20y=360

If you were to plug in 1 lets say into x that means that 1 person bought a ticket for $40 this shown by 40 (1) this is the same premise for the childrens tickets.

now we have

x+y=13

40x+20y=360

now we can solve by eliminating one of the variables this is done by either getting rid of the x or y and solving for the other. I solved for the y value first this looks like

-40(x+y=13)

40x+20y=360

Distribute the -40 to each value

giving you

-40x-40y=-520

40x+20y=360

add these together from the top down

the x's cancel leaving

-20y=-160

then isolate the y value by dividing both sides by -20

-20y/-20=-160/-20

leaving you with your y point

y=8

This is how many childrens rickets were sold now we can plug into the first linear equation

x+8=13

now easy subtration to isolate the x point

x+8-8=13-8

x=5

Finally leaving you with point (5,8)

Answer:

48 feet

Step-by-step explanation:

7 inches = 14 feet

There are 14 halves in 7 inches.

5 inches = 10 feet

There are 10 halves in 5 inches

14+14+10+10=48

The perimeter is 48 feet

Answer:

the third side is [tex]\sqrt{85}[/tex]

Step-by-step explanation:

root 85 is already the simplest form

Answer:

Step-by-step explanation:

Total number of tools for both = 564.

Dr Brown used 386 tools for 6 experiments.

average number of tools per experiment used by Dr Brown = [tex]\frac{386}{6}[/tex]

                                               = 64[tex]\frac{1}{3}[/tex]

Dr Rachal used 236 tools for 8 experiments.

average number of tools per experiment used by Dr Rachal = [tex]\frac{236}{8}[/tex]

                                                = 29[tex]\frac{1}{2}[/tex]

i. The number of more experiment that can be done by Dr Brown = (564 - 386) ÷ (64[tex]\frac{1}{3}[/tex])

                                 = 2.7668

Dr Brown can do two more experiments.

The number of more experiments that can be done by Dr Rachal = (564 - 236) ÷ (29[tex]\frac{1}{2}[/tex])

                                  = 11.1186

Dr Rachal can do 11 more experiments.

ii. Number of tools left after Dr Brown's experiments = 564 - 386

                                                            = 178

Number of tools left after Dr Rachal's experiments = 564 - 236

                                                            = 328

Answer:

pounds?

Step-by-step explanation:

Answer:

ounces

Step-by-step explanation:

Hamsters are quite light, so it would make sense that the answer is in ounces

Answer:

y+6=-3/4(x-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

we do first the multiplication 3*6=18

-2+18=16

16/5 is your answer or 3.2

Answer:

What does the serving consist of?

Step-by-step explanation:

Answer:

it depends on what the servings are

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

hi

Answer:

Option B

Step-by-step explanation:

Given equation gives the information about the temperature in Vancouver over a period of 4 hours.

y = -2x + 43

Here 43 represents the initial temperature and (-2) represents the temperature fall in every one hour.

x = duration or time

Therefore, equation states that initial temperature when measured was 43 °F and it is dropping by 2 degrees per hour.

Option B is the answer. 

Answer:

D.

Step-by-step explanation:

ABCD area =12

WXYZ area=24

Answer:

D

Step-by-step explanation:

Answer:

x=136°

Step-by-step explanation:

x=136° ( as it's vertical angle to 136°)

Answer:

The bottom right table

Step-by-step explanation:

Answer:

its 2

Step-by-step explanation:

for a fact the product of two rational numbers is rational in that statement is always true

Answer:

a₄ = 12

Step-by-step explanation:

To obtain the terms in the sequence add 2 to the previous term, that is

a₂ = a₁ + 2 = 6 + 2 = 8

a₃ = a₂ + 2 = 8 + 2 = 10

a₄ = a₃ + 2 = 10 + 2 = 12

Answer:

3.16 seconds

Step-by-step explanation:

32.56 - 29.4 = 3.16

Answer:

2

Step-by-step explanation:

12/2= 6

48/2= 14

96/2=48

Answer:

Step-by-step explanation:

LCM of 12,48 and 96 is 96

Answer:

can u make a more clear picture ?

Step-by-step explanation:

Answer:

-1 is the only value that is closer to 0 than -2.

Step-by-step explanation:

Answer: the third one

Step-by-step explanation:

because there all increasing by 7

Answer:

The answer is 420.

Step-by-step explanation:

The multiple of 70 lies between 300-500 has three possibilities such as 350,420,490

Answer:

420 hope this helps

Step-by-step explanation:

Answer:

whatchu need help wit?

Step-by-step explanation: