The area of a blackboard is 1 1 third square yards. A poster's area is 8 over 9 square yards. What is the unit rate of the blackboard's area to the poster's area?

Answer:

[tex]\frac{5.57575757}{1}[/tex]

Step-by-step explanation:

Assuming you can't use a calculator:

5.575757... = 5 + 0.575757...

let 0.575757... = x

1) Substitute x for 0.575757...

5.575757... = 5 + x

2) Multiply both sides by 100

100(5.575757...) = 100(5+x)            

557.575757... = 500 + 100x    

3) Subtract 500 from both sides

57.575757... = 100x          

4) 57.575757... can be written as 57 + 0.575757...              

57 + 0.575757... = 100x

5) Substitute x for 0.575757...

57 + x = 100x

6) Subtract x from both sides

57 = 99x

7) divide both sides by 99

x = 57/99

8) plug in 57/99 for x in our original equation

5.575757... = 5 + (57/99)

9) simplify

5.575757... = ((5*99)/99) + (57/99)

5.575757... = (495/99) +(57/99)

5.575757... = (495+57)/99

5.575757... = 552/99

5.575757... as a fraction is 552/99

Answer: Pretty sure the answer is C

Step-by-step explanation:

Answer:

I think its

2.4, square root of 5, 1/2, -7/4, -2

hope this helps :D

Answer:

answer is B

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

[tex] \sqrt{64} + \sqrt{-144} = \sqrt{8^2} + \sqrt{-1 \times 12^2} [/tex]

[tex] ~~~~~~~~ = 8 + i \times \sqrt{12^2} [/tex]

[tex] ~~~~~~~~ = 8 + 12i [/tex]

Answer: -4,-3,-2,-1,0,1,2,3

Step-by-step explanation: they are asking you to put all the integers -4 and 4 in ascending order so, you must start from -4 and go up which is moving to the positive side on the number line and end at 4.

Answer:

false

Step-by-step explanation:

an integer is any number greater or less than 0

Answer:

Below

Step-by-step explanation:

9 [tex]\frac{51}{100}[/tex]

Answer: 9 51/100

Step-by-step explanation:

STEP 1. Convert it into improper fraction

9.51=951/100

STEP 2. Convert improper fraction into mixed fraction

951 ÷ 100=9 R 51

9 51/100

Hope this helps!! :)

Please let me know if you have any question

Answer:

39 hours

Step-by-step explanation:

Mary earns an hourly wage of $13

plus a $90 bonus.

Her total paycheck shows she received $597

Subtracting the bonus we get;

$597 - $90 = $507

1 hour -> she gets $13

how many hours will she get $507

Cross multiplying gives;

[tex]\frac{507}{13} * 1 = 39[/tex] hours

Answer:

Step-by-step explanation:

$597 - $90 = $507     - payment for hours only

507÷13 = 39

Answer:

12

Step-by-step explanation:

Plug the given values into the equation to solve.

a² - b²

(4)² - (-2)²

16 - 4

12

===========================================

Explanation:

x = amount (in inches) the spring is stretched

y = force applied (in pounds)

y = kx for some constant k, since x and y vary directly

---------------

Plug in the given info that x = 5 and y = 150 pair up together

Solve for k

150 = k*5

150/5 = k

k = 30

The equation goes from y = kx to y = 30x. Whatever the stretching distance (x) is, you multiply by 30 to get the force needed (y) to pull the spring.

---------------

Plug in y = 180 to solve for x

y = 30x

180 = 30x

30x = 180

x = 180/30

x = 6

The spring will be stretched 6 inches if you apply a force of 180 pounds.

Answer:

D

you want to use the quadratic formula so you send the 6 over with the x² so you substact 6 on both sides and and and invisible 0x having your equation x²+0x-6 and substitute that equation into the quadratic formula

We start off with 50 as our room temperature.

Then we subtract off 4h to indicate the temperature drops 4 degrees per hour

You can think of it like this

1 hour = drop by 4 degrees

h hours = drop by 4h degrees (multiply both sides by h)

So the expression 50-4h represents the temperature after h hours. We want this to be below 32, so 50-4h < 32 is the inequality we're after

Solving for h leads to

50-4h < 32

-4h < 32-50 ... subtract 50 from both sides

-4h < -18

h > -18/(-4) ... divide both sides by -4; note the inequality sign flips

h > 4.5

If you go beyond 4.5 hours, then the temperature will be below 32 degrees

notes:

After 1 hour 46

After 2 hour 42

After 3 hour38

After 4 hour 34

After 4 (1/2) hour 32

ANSWER - BY DIVIDI.G BOTH THE SIDES OF THE EQUATION BY THAT FRACTION  BUT TO DIVIDE BY A FRACTION .WE FLIP THAT FRACTION AND MULTIPLY.

HOPE IT HELPS

Answer:

8π + 12 in²

Step-by-step explanation:

Just add the areas of the semicircle and the triangle.

Answer:

876

Step-by-step explanation:

7689686896

Answer:

what is theoretical probability

Answer:

[tex]Quotient = 17[/tex]

Step-by-step explanation:

Given

[tex]\frac{-1019}{-57}[/tex]

Required

Determine the quotient

[tex]\frac{-1019}{-57}[/tex]

Start by dividing the numerator and denominator by -1

[tex]\frac{1019}{57}[/tex]

The quotient is the integer division of two numbers;

[tex]\frac{1019}{57} = 17.8771929825[/tex]

Since, we only need the integer part;

[tex]Quotient = 17[/tex]

None of the given options answer the question

Answer:

-3

Step-by-step explanation:

The number line is the straight line where all the numbers are expressed and when we represent this line we usually use intervals of the same length to express the numbers. For example, the numbers 0, 1, 2, 3, 4 would have the same distance between them since there is one integer between each of them.

The number line also has negative numbers, so the integer to the left of the zero is -1, then we have -2, -3, etc.

In this example we are told that the integer 3 is 3 units from 0 on the number line, this number is 3 units from zero to the right (positive numbers). So, as we said before, if we move 3 units from 0 but to the left we would be 3 units from 0 but on the side of negative numbers and thus, the integer that is also 3 units from zero on the number line is -3.

Answer:

A

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle h(x)=5+x \text{ and } k(x) = \frac{1}{x}[/tex]

And we want to find:

[tex](k\cdot h)(x)[/tex]

Recall that this is equivalent to:

[tex]\displaystye (k\cdot h)(x) = k(x) \cdot h(x)[/tex]

Substitute and simplify:

[tex]\displaystyle \begin{aligned} (k\cdot h)(x) & = \left(\frac{1}{x}\right)(5+x) \\ \\ & = \frac{5+x}{x} \end{aligned}[/tex]

In conclusion, our answer is A.

Answer:

A.  (5 + x) / x

Step-by-step explanation:

h(x) = 5 + x

k(h) = 1 / x

express the above to (k*h)(x)

(k*h)(x) = (1 / x) * (5 + x)

= 1/x (5+x)

= 1 * (5 + x)

         x

= 1 (5 + x) = 5 + x

= 5 + x

      x

Answer:

2(2x - 5)(2x + 5)

Step-by-step explanation:

[tex]8x^{2} -50[/tex]

First pull out 2.

2[tex](4x^{2} -25)[/tex]

We can see each is a square after pulling out 2.

square root of 4 is 2 and square root of 25 is 5. Because the we have - 25 we know we have opposite signs, two - would make a positive, and two + would also make a positive, and the middle wouldn't cancel out. So we have:

2(2x - 5)(2x +5)

Let's check our work. Focus on the ( ) first.

2(2x - 5)(2x + 5)

2x * 2x + 2x * 5  - 5 * 2x - 5 * 5

4[tex]x^{2}[/tex] + 10x - 10x - 25

4[tex]x^{2}[/tex] - 25      Can't forget to multiply by 2!

2 (4[tex]x^{2}[/tex] - 25 )

8[tex]x^{2}[/tex] - 50

Answer:

The x-axis is closer to B.

Step-by-step explanation:

Since the ratio PB:AB = 2/7 is positive, the line divides internally. So, we use the equation for the coordinates of a point that internally divide a line.

So, x = (mx₂ + nx₁)/(m + n) and y = (my₂ + ny₁)/(m + n)

where PB/AB = 2/7 = n/m. So, n = 2 and m = 7

Also, Point A = (0,0) = (x₁, y₁) and point P = (10, -5) = (x₂, y₂).

Substituting these values into x and y, we have

x = (mx₂ + nx₁)/(m + n)

x = (7(10) + 2(0)₁)/(7 + 2)

x = (70 + 0)/9

x = 70/9

x = 7⁷/₉

y = (my₂ + ny₁)/(m + n)

y = (7(-5) + 2(0)₁)/(7 + 2)

y = (-35 + 0)/9

y = -35/9

y = -3⁸/₉

So, the x and y coordinates of B are  7⁷/₉ and  -3⁸/₉ respectively. So, point B is -3⁸/₉ units away from the x-axis and 7⁷/₉ units away from the y-axis. So the x-axis is closer to B.

Answer:

20 episodes

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

you have to divide 1,920 by 8

Answer:

65% voted for Karen

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

Answer:

x = -5, 5

Step-by-step explanation:

Step 1: Write out equation

-x² - 8 = -33

Step 2: Add 8 on both sides

-x² = -25

Step 3: Divide both sides by -1

x² = 25

Step 4: Take square root on both sides

x = ±5

Step 5: Arrange

-5 < 5

So x = -5, 5

Answer:

x =3

y =5

Step-by-step explanation:

Solve by substitution

[tex]\begin{bmatrix}3x-2y=-1\\ y=4x-7\end{bmatrix}\\\\\mathrm{Subsititute\:}y=4x-7\\\\\begin{bmatrix}3x-2\left(4x-7\right)=-1\end{bmatrix}\\\\\mathrm{Simplify}\\\begin{bmatrix}-5x+14=-1\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-5x+14=-1:\quad x=3\\\mathrm{For\:}y=4x-7\\\\\mathrm{Subsititute\:}x=3\\y=4\times\:3-7\\\\Simplify\\y=5\\x=3,\:y=5[/tex]

Answer: D) neither

Step-by-step explanation:

If you plug in any of the given coordinates, the answer is always incorrect