54 is the quotient of 11 and a number

Step-by-step explanation:

We need to find each of the following as a rational number in the form of p/q

(a) (3/7)²    (b) (7/9)³  (c) (-2/3)⁴

Solution,

(a) (3/7)²

[tex](\dfrac{3}{7})^2=\dfrac{9}{49}[/tex]

(b) (7/9)³

[tex](\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}[/tex]

(c) (-2/3)⁴

[tex](\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}[/tex]

Hence, this is the required solution.

Answer:

47

Step-by-step explanation:

the lines are parrele which explains

why its 47

Answer:

[tex](-1)(x+3)(x-2)[/tex]

Step-by-step explanation:

Factoring

We are given a trinomial:

[tex]-x^2-x+6[/tex]

The following steps are done to factor the trinomial.

1. Confirm there are no common factors: No common factors (given)

2. Factor out -1:

Multiply all the terms by -1 and take -1 out:

[tex]\boxed{(-1)(x^2+x-6)}[/tex]

3. Factor

[tex]x^2+x-6 = (x+p)(x+q)[/tex]

We have to find two numbers p and q whose product is -6 and the sum is 1. Those numbers are 3 and -2 (in any order):

Factoring:

[tex]x^2+x-6 = (x+3)(x-2)[/tex]

The final factoring is:

[tex]\boxed{(-1)(x+3)(x-2)}[/tex]

Answer:

She must have to reach $7000 sales to get to her goal.

Step-by-step explanation:

Consider the provided information.

Let her weekly sales is represented by [tex]x[/tex].

Each week she earns $250 plus a commission equal to 3% of her sales. so this can be written as:

[tex]250+\frac{3}{100}x[/tex]

Her goal is to earn at least $460. It means she needs to earn more than or equal to $460.

[tex]250+\frac{3}{100}x\geq 460[/tex]

Now simplify it.

[tex]0.03x\geq 460-250[/tex]

[tex]0.03x\geq 210[/tex]

[tex]x\geq 7000[/tex]

She must have to reach $7000 sales to get to her goal.

Answer:

She must have to reach $7000 sales to get to her goal.

Step-by-step explanation:

Answer:

Multiple answers would work

Step-by-step explanation:

From the subtraction sign before the 18x, we can infer that one of the equations has a negative number. So, know we have this:

(x-?) (x+?)

There are multiple answers this could be,

(x-18) (x)

(x-20) (x+2)

You get where I am going...

If you went with the first on (x-18) (x), then you wouldn't have to add anything.

(x-20) (x+2) = x^2 - 18X - 40.

To be honest this one stumped me. Some just have multiple answers. My guess is that you have to fill out the boxes so maybe the first answer wouldn't work.

Sorry I couldn't give a concise answer. Though their probably is one obivious answer that I am missing.

Answer:

I think its 16, 32, or 36.

Step-by-step explanation:

Because I set it up like 2/100 = x/18 and then do the math

Answer:

It is a right triangle

Step-by-step explanation:

Depending on how you make the triangle if 3 is A 4 is B and 5 is C then the Pythagorean Theorm would be correct and it would be a right triangle.

Answer:

A triangle has sides with lengths of 6 inches, 8 inches, and 10 inches. Is it a right triangle?

Step-by-step explanation:

Answer: x = -2

Step-by-step explanation:

5(3y -5) -4y = -14

15y - 25 - 4y = -14

11y - 25 = -14

11y = 11

y = 1

5x - 4(1) = -14

5x - 4 = -14

5x = -10

x = -2

Answer:

x = -2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( − 2 , 1 )

Equation Form:

x  =  − 2 ,  y  =  1

Answer:

18 minutes

Step-by-step explanation:

if you divide 109 by 6, ya get 18.166666-

Answer:

80

Step-by-step explanation:

Answer:

11/2

Step-by-step explanation:

Sum of angles in a triangle = 180°

84 + x +59 +x + 31 =180°

84+54+31+x+x = 180°

169 + 2x = 180°

2x = 180 - 169

2x = 11

x = 11/2

Answer:

105°

Step-by-step explanation:

The given angles are vertical and congruent , then

8x - 21 = 6x + 3 ( subtract 6x from both sides )

2x - 21 = 3 ( add 21 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Then

6x + 3 = 6(12) + 3 = 72 + 3 = 75°

Supplementary angles sum to 180° , thus

supplementary angle = 180° - 75° = 105°

Answer:

Yeah he's right...

Step-by-step explanation:

Step-by-step explanation:

Let x be the number of hours Maria work per week.

We have 0.75 * $4.76x - $25 >= $100.

Therefore 0.75 * $4.76x >= $125,

$4.76x >= $166.66

x >= 35.014

Hence Maria have to work at least 36 hours per week.

Answer:

Zero slope is the answer

Answer:

8 5/8 ounces

Step-by-step explanation:

Given that:

Weight of puppy = 2 7/8 pounds

Puppy is being fed 3 ounces of food for each pound it weighs

Ounces of food being fed :

1 pound = 3 ounces

2 7/8 pounds =?

2 7/8 * 3

23/ 8 * 3

= 69/ 8

= 8 5/8 ounces

Answer: A(-1,5)B(-7,7)C(-6,5)

Step-by-step explanation: the translation subtracts 5 from each x value and adds 4 to each y value.

9514 1404 393

Answer:

  -37/24

Step-by-step explanation:

We know that 1/6 = 0.166666..., so 1.541666... = 1.54 + 1/600.

Your fraction is ...

  -154/100 -1/600 = -925/600 = -37/24

Answer:

3/8

Step-by-step explanation:

there are 3 friends even if it wasn't evenly eaten there was 3 slices left over which means it's 3/8

Answer:

[tex] slope (m) = -\frac{3}{4} [/tex]

Step-by-step explanation:

Slope of the line using two pairs of values from the table, (-2, 5) and (2, 2):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 5}{2 - (-2)} = \frac{-3}{4} [/tex]

[tex] slope (m) = -\frac{3}{4} [/tex]

Answer:

There is no x intercept

Step-by-step explanation:

Answer:

no x intercept

Step-by-step explanation:

it is parallel with the x axis. They will never touch

Answer:

The answer is y = -2x .....

Answer:

y=2

Step-by-step explanation:

This line is horizontal because it just crosses the y-axis at 2.

The picture shows what the graph would look like. The dark purple dot on the line is where the coordinate 2 is

Answer:

-19,-23,-27

Step-by-step explanation:

When looking at the original sequence you can see that it decreases by 4 every number, so just keep subtracting 4 to get the next numbers.

Answer: -19, -23, -27

Step-by-step explanation:

<33

Answer:

I need to empty 2 bottles to get Medicine A to 98% of the total bottles

Step-by-step explanation:

The first step is to find out what 99% of 200 is. This will give us how many bottles of "Medicine A"  are present.

99% of 200 is 198. This means that there are 198 bottles of Medicine A present.

The next step is to find out what 98% of 200 is. This will give us the number of bottles of "Medicine A " that will be left remaining.

98% of 200 is 196. There neede to be 196 bottles left after I have taken out and emptied a few bottles of Medicine A.

The last step is to subtract 196 from 198 bottles, to get the number of bottles that I need to empty.

This will be 198 - 196 = 2 bottles

I need to empty 2 bottles to get Medicine A to 98% of the total bottles

20 i think

Step-by-step explanation:

if it was 100 it would be 10. 100x2=200. thats how i got 20

Answer:

The point (-5, 6) is located in the second quadrant

Step-by-step explanation:

Answer:

The second quadrant.

Step-by-step explanation:

To plot (-5, 6), we move back 5 units, and up 6, this places us in the second quadrant. Look at the image attached for a labeled coordinate plane.

Answer:

y=-3

Step-by-step explanation:

2y+3y=4−6−13

2y+3y=4+−6+−13

(2y+3y)=(4+−6+−13)

5y=−15

5y=−15

y= −3

Answer:

y = -10

Step-by-step explanation:

You add 2y and 3y, you'd get 5y from it. You do 4-6-13 which is -15.

So 5y = -15.

You subtract 5 from the y side and add 5 to the -15.

So basically:

5y = -15

-5 & +5

y = -10

Answer:

11.85 deciliters

Step-by-step explanation:

11.85 deciliters

Answer:

0.7

Step-by-step explanation:

Answer:

2+2

Step-by-step explanation:

There ya go