Name the alternative exterior angle with angle 8.

-2>-3

Because -2 is less far down than -3.

[tex]|3x-6|<30 \\\\|x-2|<10\\\\x-2<10 \wedge x-2>-10\\\\x<12 \wedge x>-8\\\\x\in(-8,12)[/tex]

[tex]Solution, solve\:for\:x,\:\left|3x-6\right|<30\quad :\quad -8<x<12[/tex]

[tex]Steps:[/tex]

[tex]|f\left(x\right)|<a\quad \Rightarrow \:f\left(x\right)<a\quad \mathrm{and}\quad \:f\left(x\right)>-a, 3x-6<30\quad \quad \mathrm{and}\quad \:\quad \:3x-6>-30[/tex]

[tex]3x-6<30\quad :\quad x<12[/tex]

[tex]3x-6>-30\quad :\quad x>-8[/tex]

[tex]\mathrm{Combine\:the\:ranges}, -8<x<12[/tex]

The correct answer is -8<x<12

To solve this question, we can start to set up an equation using what the question is telling us. Since we don't know what the number is, let's make it equal to x.

The phrase "5 times a number" means that we're multiplying our unknown, x, by 5. That is equal to 5x. 9 less than that would be 5x - 9. Since we know that it's equal to -30, we can solve.

5x - 9 = -30

Get all terms with x on one side and the constants on the other

5x - 9 +9 = -30 + 9

Simplify

5x = -21

Now, we can divide both sides by 5 to get our answer of x = -[tex]\frac{21}{5}[/tex]

An equation can be formed with the given information.

"Nine less than" → -9

"Five times a number" → 5x

"Is equal to -30" → =-30

So our given equation is: 5x-9=-30

To solve this, first add 9 on both sides of the equation.

5x-9+9=-30+9

5x=-21

Divide both sides by 5 for x.

[tex]\frac{5x}{5}[/tex]=[tex]\frac{-21}{5}[/tex]

x=[tex]\frac{-21}{5}[/tex] , or -4.2.

First we find the slope of the given line by using slope intercept form.

Converting the equation into slope intercept form

[tex] 5y=-2x-10[/tex]

Divide both side by 5 we get

[tex] y==-\frac{2}{5}-2[/tex]

On comparing with [tex] y=mx+c[/tex]

We get slope [tex] m=-\frac{2}{5}[/tex]

as the slope of line is negative therefore the line will either "b" or "d"

As line "b" pass from (0,2)

On putting it in given equation we get

[tex] 2(0)+5(2)=10[/tex]

Which is not equL to RHS of the line

Therefore b is not the given line

Now putting point (0,-2)

We get [tex] 0+5(-2)=-10[/tex]

Satisfy the equation and line "d" pass from it

There the give equationis of line "d"

Answer:the answer is line D

Step-by-step explanation:took the test and got it right

Answer:

Where do I plot it

Step-by-step explanation:

Answer:

Answer: Hopefully this helps other people! :) I got it right on the test!

Question 4: The correct option is d. Multiplying by 2 stretches the graph of g(x) = 2⌈x⌉ vertically by a factor of 2.

Question 5: The correct option is a. The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted down 3 units.

Question 4:

The graph illustrates the functions f(x) = ⌈x⌉ and g(x) = 2⌈x⌉. Multiplying by 2 does not compress or shift the graph vertically, but rather stretches it. Each step on f(x) has a height of 1 unit, while on g(x), the steps have a height of 2 units.

This indicates that g(x) is a vertical stretch of f(x) by a factor of 2. The red dotted lines highlight the vertical distance between corresponding steps of f(x) and g(x), showing that g(x) is indeed twice the height of f(x) at every step. Therefore, the correct statement is:

Multiplying by 2 stretches the graph of g(x) = 2⌈x⌉ vertically by a factor of 2.

The representation of the graph is given below.

Question 5:

The graph demonstrates the functions f(x) = ⌊x⌋ and g(x) = ⌊x⌋−3. The graph of g(x) is identical in shape to the graph of f(x), but it is shifted downward by 3 units. This is visually represented by the dashed line of g(x), which follows the same step pattern as f(x) but is consistently 3 units lower across the entire domain.

Therefore, the correct statement is:

The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted down 3 units.

The representation of the graph is given below.

Answer:

neither

Step-by-step explanation:

Hi!

Solve for d.

[tex]12y+d=-19y+t[/tex]

Subtract by 12y from both sides.

[tex]12y+d-12y=-19y+t-12y[/tex]

[tex]Answer---> d=-31y+t[/tex]

Solve for y.

Add 19y from both sides.

[tex]d+12y+19y=t-19y+19y[/tex]

[tex]d+31y=t[/tex]

Add d from both sides

[tex]d+31y+-d=t+-d[/tex]

[tex]31y=-d+t[/tex]

Divide by 31 from both sides.

[tex]\frac{31y}{31}=\frac{-d+t}{31}[/tex]

[tex]Answer ----> y=\frac{-1}{31} d+\frac{1}{31}t[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

the LCD of the two is 9 what you do is this  so 1/3,2/9 is simple its 1/3 2/3 1 then lets try the 2/9 2/9 4/9 6/9 and keep doing that until they both reach the SAME number.

The LCD (Least common denominator) is 9,  

For the denominators (3, 9) the least common multiple (LCM) is 9.

Therefore, the least common denominator (LCD) is 9.

Hope This Helps :D

The number of employees at the company decreased by 16%. This was calculated by first finding the decrease in number of employees (36) and then calculating this as a percentage of the original number of employees.

To find the percent decrease in the number of employees at the company, you need to follow these steps:

So the number of employees at the company decreased by 16%.

https://brainly.com/question/8549621

#SPJ11

We are given original selling price of book = $b.

Price is marked down by 46%.

46% can be written as 46/100 in decimals it would be 0.46.

Therefore, markdown as a decimal is 0.46

Now, markdown is 0.46 of original price = 0.46b

Therefore, new price after marked down can be written by expression =

b - 0.46b = 0.56b.

If original retail price was = $29.00.

The sale price would be 0.56b = 29*0.56 = $15.66.

Total saving = 29-15.66 = $13.34.

Therefore, you save $13.34 by paying the sale price $15.66.

Where does 56 come from ?

Answer:

920 miles

Step-by-step explanation:

Distance from New York City to Boston Massachusetts = 187 miles

Distance from Boston to Philadelphia, Pennsylvania = 273 miles

Total Distance of one side = 187 + 273

Total Distance of one side = 460 miles

The return distance will be the same that is 460 miles.

Total Distance of both sides = 460 + 460

Total Distance of both sides = 920 miles

Therefore, the plane flew total 920 miles.

!!

x = 1, y = - 4

substitute y = - 4x into the other equation

x - 4x = - 3

- 3x = - 3 ( divide both sides by - 3 )

x = 1

substitute x = 1 into y = - 4x ⇒ y = - 4

First you would need to simplify.  

4³=64

100/24=4

5 ^0= 1 (anything to the power of 0 is 1)

So your equation now looks like 64 * 4 - 1

Your answer would be 255.

PEMDAS: Parentheses, Exponents, Multiplication & Division, Addition & Subtraction.  This is the order that operations are to be performed.

First, Parentheses

4³ * [tex](\frac{100}{25})[/tex] - 5⁰

= 4³ * 4 - 5⁰

Next, Exponents

4³ * 4 - 5⁰

= 64 * 4 - 1

Then, Multiplication & Division

64 * 4 - 1

= 256 - 1

Last step, Addition & Subtraction

256 - 1

= 255

Answer: 255

Answer:

1800 oz.

Step-by-step explanation:

There are already 600 ounces of alloy of nickel.

Of this 600 oz, 50% is pure i.e. copper content = 600(0.5) = 300 oz

Now available is

Copper      Other metals

300                 300

Let x oz of 10% copper is added.

Then new alloy will have 300+0.1x oz copper in total of 600+x oz.

Percentage pure = [tex]\frac{300+0.1x}{600+x} =20%[/tex]

Simplify to get

[tex]\frac{300+0.1x}{600+x} =\frac{20}{100} \\\\Cross multiply:\\20(600+x) =100(300+0.1x)\\12000+20x =30000+10x\\10x = 18000\\x = 1800[/tex]

Hence answer is 1800 oz should be added.

Answer:

Top-to-bottom, the boxes have this order in the proof: 1, 7, 4, 3, 9, 8, 5, 2, 6.

Step-by-step explanation:

The basic idea is to use the Pythagorean theorem to write two expressions for the length of altitude BD, also called "k", then equate them and simplify the result. This leaves an expression for DC, also called "x", which is replaced by a cosine expression to complete the proof.

Finally, the variations involving other combinations of sides and angles are suggested as being provable in the same way.

The surface area of a rectangular prism is the sum of the areas of its faces added together. From the picture, we can see that the prism is constructed of 4 faces that measure 7 cm by 9 cm and 2 faces that measure 7 cm by 7 cm.

The area of one 7 cm by 9 cm face is 63 cm². Together, all four of the faces add up to 252 cm².

The area of one 7 cm by 7 cm face is 49 cm². Together, the two faces add up to 98 cm².

Using these areas, we can say that the total surface area of the prism would be 252 cm² added to 98 cm², or 350 cm².

Subtract the difference from the total:

575,000,000 - 350,000 = 574, 650, 000

Divide the difference by 2:

574, 650, 000 / 2 = 287,325,000

That is the lower one, then add the difference for the higher one:

Restaurant A = $287,325,000 + $350,000 = $287, 675,000

Restaurant B = $287,325,000

Hey there!!

The total cost is $52.

She paid $12 more for the layer cake than the cupcake.

Let's take the price of the cupcake as $x. Then, the price of the layer cake would be $12 + x

The sum of these would result in $52.

... x + x + 12 = 52

... 2x + 12 = 52

... 2x = 52 - 12

... 2x = 40

... x = 20

Hence, the price of the cupcake is $20 and the price of the layer cake is $32.

Hope my answer helps!!

$2.60 was spent on a box of crackers.  s = 20 students.

Let's have C be the cost of crackers for each student.  To find the cost, we divide the total amount of money (2.60) by the number of students (20)

C = 2.6/20

C = 0.13

The cost of the crackers for each student in Mr. McKay's class, if divided evenly, would be $0.13 when there are 20 students.

Mr. McKay's expenditure on the box of crackers can be written as an arithmetic expression where the total cost is divided by the number of students. This expression is 2.6 / s. By substituting the given number of students (s=20), we find that the cost of the crackers for each student is 2.6 / 20 = $0.13. Therefore, each student should pay $0.13 if the cost of the crackers is to be divided evenly among them.

https://brainly.com/question/31886937

#SPJ2

Problem 60)

Solution

Part 1

Joy earns $8 per hour. She earns $128 per month.

The number of hours worked in each month = 128/8 = 16 hours.

She works 16 hours each month in order to earn $128.

Part 2

After six months she gets a $2 per hour raise.

Now her earning per become $10.

She works 16 hours each month.

Joy earning per month = 16*10 = $160.

Hope you will understand the solution. Thank you :)

Answer:

Option C - 420

Step-by-step explanation:

Given : Objective function, P, with the given constraints

[tex]P=20x+35y[/tex]

Constraints,

[tex]x+y \leq 12[/tex]

[tex]5x+y \leq 20\\x \geq 0\\y \geq 0[/tex]

To find : What is the maximum value

Solution :

First we plot the graph through the given constrains.

As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)

Refer the attached figure.

So, we put all the points in P to, get maximum value.

[tex]P=20x+35y[/tex]

[tex]P=20(0)+35(0)=0[/tex]

[tex]P=20x+35y[/tex]

[tex]P=20(0)+35(12)=420[/tex]

[tex]P=20(2)+35(10)=40+350=390[/tex]

[tex]P=20(4)+35(0)=80[/tex]

Therefore, The value is maximum 420 at (0,12)

So, Option C is correct.

Answer:

420

Step-by-step explanation:

The y-intercept will be (0,51)

In case, if you want the x-intercept it will be (-51/4,0)

The three consecutive numbers are 25,27,29. The smallest is 25

5+10+15+20+25=75

75/5=15

15 is the mean

5+10+15+20+25=75

Your mean will be 75

Then divide by 5 = 15

Your answer will be 15

-5c + 6 = -69

-5c = - 75

c = 15

6c - 15

6(15) - 15

90 - 15

75

you will have a 1 in 6 chance to roll a 1 on a die

A standard Die has 6 sides.

The probability of any number being on top is 1/6.

The probability of having a one on top would be 1/6.

The answer is a chemicl change.

A chemical change occured when a metal changed color because it reacted with another substance.