Charlie, Henry, and Patrick went to the movies and each purchased 2
chocolate candy bars from concessions. Charlie ate
1/2 of a candy bar, Henry
ate 1 &
1/6 candy bars, and Patrick ate 1 & 3/4
candy bars.
How many candy bars did
the boys eat altogether? Select all the correct answers.
A. 3 & 5/12

B. 5 & 5/12

C. 41/12

D. 65/12

E. 2 & 5/12

The scale factor from triangles ABC to XYZ IS 6.

Option A is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

ΔABC and ΔXYZ

The corresponding sides are:

AB = XY

BC = YZ

AC = XZ

Now,

We see that,

XY = 6 x AB

YZ = 6 x BC

XZ = 6 x AC

So,

The scale factor is 6.

Thus,

The scale factor from triangles ABC to XYZ IS 6.

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slope of line perpendicular to the line y=-1/4x-1 is 4.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us write the given equation  y=-1/4x-1

If we compare the given equation with slope intercept form

We get to know slope of line m is -1/4.

It two lines are perpendicular then the product of their slopes will be -1

-1/4×m=-1

m=4

Hence slope of line perpendicular to the line y=-1/4x-1 is 4.

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Answer:

b

Step-by-step explanation:

d is your inital amount.  Then you spend $7, so you subtract 7.  That is greater than or equal to 50.

Answer:

c + 0.5b =700 and c + b =1,000 I think

Answer:

c+b=1000

Step-by-step explanation:

This problem can be solved by process of elimination. If the end weight is 1000, then at the equal sign, it should also be 1000. Since the last option is the only one with 1000, then it would be the only correct option.

Answer:

The graph will change by simply having an increased slope of 16 instead of 15.

Step-by-step explanation:

For this problem, we will consider the initial case as stated by the problem where the joining fee is $20 and each book is $15.  Let x represent the number of books that we have purchased.  Then, we can write the following function to represent the cost of this club.

f(x) = 15x + 20

Note, if x = 0, meaning we have no books, then

f(0) = 15(0) + 20

f(0) = 0 + 20

f(0) = 20

Which is the cost of our joining fee.  If x = 1, meaning we have 1 book, then

f(1) = 15(1) + 20

f(1) = 15 + 20

f(1) = 35

Which is the cost of our joining fee and 1 book, which matches our graphed function.

Now, let's consider that the cost of the book is $16 instead of $15 ("the cost per audio book goes up by $1.00").  Then we can modify the slope of our function to reflect this change giving us the new function:

g(x) = 16x + 20

In this new function, our slope increased from 15 to 16, to account for the increase in cost, but our initial 20 remained the same.

So the graph will change by simply having an increased slope of 16 instead of 15.

Cheers.

Answer:

The new function will have a steeper slope, so...

Step-by-step explanation:

Le: t  x ----> the number of audio books purchased

y ---->the cost of belonging to the club in dollars

case 1 (Originally) :

y = 15x + 20

case 2 ( the cost per audio book goes up by $1.00) :

y= (15+1)x+ 20

y = 16x + 20

The slope of the new function is greater than the slope of the original function    

The new function will have a steeper slope:

16  $/ audio book > 15 $/audio book

Answer:

8 cm and 28 cm

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

(i)

Here A = 48, b = AB and h = DE = 6 , then

AB × 6 = 48 ( divide both sides by 6 )

AB = 8 cm

(ii)

Here A = 252, b = PQ = 9 and h = RT , then

9 × RT = 252 ( divide both sides by 9 )

RT = 28 cm

Answer:

The actual height = 6.38 feet

Step-by-step explanation:

Given that a poster of the detroit lions football players uses a scale

of 4 inches = 3 feet

so

Given that the poster's length:

[tex]8\frac{1}{2}=\frac{17}{2}=8.5[/tex] inch

Thus, we need to multiply 8.5 inches by 3/4 to determine the actual height of the player.

Actual height = 8.5 × 3/4 feet

                      = 6.38 feet

Therefore, the actual height = 6.38 feet

So, with percentages the easiest way is to multiply the 42200 by 0.11. After that you get (4642.00) < Answer to A  so you add 42200 to 4642 to get the new price. That should bring you to (46842.0) < Answer to B

Answer: f(x) = -cos(x) + 4.584

Step-by-step explanation:

we know that f'(x) = sin(x)

if we integrate that, we get:

f(x) = -cos(x) + C

Where C is a constant of integration.

And we also want that:

f(2) = 5

with that relationship we can find the value of C.

f(2) = 5 =  -cos(2) + C

(The calculation is done in radians)

        5 = -(-0.416) + C

       5 - 0.416 = C = 4.584

Then the function is:

f(x) = -cos(x) + 4.584

Answer:

one solution

Step-by-step explanation:

once you solve it, x equals 0

Answer:

X÷-9=-16 x=144

Answer:.

Step-by-step explanation:

Answer:

wut????????

Step-by-step explanation:

????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (0, 3)

m = [tex]\frac{3+1}{0+1}[/tex] = [tex]\frac{4}{1}[/tex] = 4

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = 4x + 3 ← equation of line

Answer:

that will be 12

Step-by-step explanation:

Answer:

what is the problem it doesn't show anything

Answer:

7

Step-by-step explanation:

Multiply the first collum by 7. It's basically unit rates

Answer:

7

Step-by-step explanation:

let the left column be x

let the right column be y

x is being multiplied by 7

so the ratio would be 7x=y

Answer:

y=95x+50

Step-by-step explanation:

Answer:

tsa

Step-by-step explanation:

tsa of cube is 6a²

so

64cm²=6a²

Answer:

96 cm²

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the side length )

Here V = 64 , thus

s³ = 64 ( take the cube root of both sides )

s = [tex]\sqrt[3]{64}[/tex] = 4

A cube has 6 congruent square faces.

The area of 1 face = s² = 4² = 16 cm², thus

area of 6 faces = 6 × 16 = 96 cm² ← surface area

Answer: y − 6 = 5 ⋅ ( x − 1 )

Step-by-step explanation:

Answer: y − 6 = 5 ⋅ ( x − 1 )

Step-by-step explanation: becuase i got the awnser right on the question

Answer:

-4/5

Step-by-step explanation:

write the given equation in y=mx+b form, where m is the slope

10x-8y=-80

-8y= -10x-80 divide both sides by -8

y=(10/8)x+10

y=(5/4)x+10

m= 5/4 is the slope of the given function

the slope of an equation that is perpendicular is the negative reciprocal of the given one so is

m= -4/5

Answer:

hii

x=30

Step-by-step explanation:

x+3x+5x-90=180

9x=270

x=30

Answer: I think c but im not too sure

Step-by-step explanation;

Answer:

B (4,4)

Step-by-step explanation:

if you go to desmos.com, click on graphic calculator and put your equations in you will see they intersect at point (4,4)

Answer:

-54/9=-6

Step-by-step explanation:

When doing this division we need to take a couple of things into account. First, notice we are dividing a negative number into a positive number, therefore our answer must be negative.

Second, notice that 9 fits 6 time into 54, therefore:

-54/9=6

We can look at this graphically, if we have 54 squares and divided them in groups of 9, we would get 6 groups of 9 in total.

See attached picture.

Answer:

a=3*3*3*3*3=243

b=2*2*2*2=16

c=10*10*10=1000

Step-by-step explanation:

Answer:

Each person did 15.1 seconds.

Step-by-step explanation: Just divide 60.4 seconds by 4 for the number of runners.