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2 questions

The inequality that relates the number of hours to the weekly sales is:

[tex]450 + 0.20x \ge 35y[/tex]

The complete question implies that we define an inequality that represents the relationship between the number of hours worked in a week and the weekly sales

We make use of the following representation:

[tex]x \to[/tex] weekly sales from cars.

[tex]y \to[/tex] hours worked in a week

His weekly salary is then calculated as:

Salary (S) = Earnings per week + Commission * Sales from car

So, we have:

[tex]S = 450 + 20\% * x[/tex]

Express percentage as decimal

[tex]S = 450 + 0.20* x[/tex]

[tex]S = 450 + 0.20x[/tex]

Assume he works for y hours in a week.

His hourly rate is:

[tex]Hourly = \frac{S}{y}[/tex] --- i.e. weekly salary divided by number of hours

[tex]Hourly = \frac{450 + 0.20x}{y}[/tex]

For this rate to be at least [tex]\$35[/tex], the following condition must be true

[tex]Hourly \ge 35[/tex] --- i.e. is hourly rate must be greater than or equal 35

So, we have:

[tex]\frac{450 + 0.20x}{y} \ge 35[/tex]

Multiply both sides by y

[tex]450 + 0.20x \ge 35y[/tex]

Learn more about inequality:

https://brainly.com/question/20383699

Answer:

[tex]\frac{(x+3)}{9}[/tex]

Step-by-step explanation:

Step-by-step explanation:

Whole numbers less than 5 may be termed as Rational numbers.

Answer:

so thats 2/6 or 1/3

Step-by-step explanation:

A die has 6 sides your odds of getting 2 or lesser are 1/3 or 33%

Answer:

perimeter is 36 cm

Step-by-step explanation:

Answer:

I believe it's 12 in.

Step-by-step explanation:

hope this helps you!

Answer:

dalam rajah 1 and read the full q that is the ans

Answer:

x = 91° , y = 52°

Step-by-step explanation:

Opposite angles add up to 180°.

Therefore :

1. x° + 89° = 180°

x° = 180° - 89°

x° = 91° #

2. 76° + 2y° = 180°

2y° = 180° - 76°

2y° = 104°

y° = 104° / 2

y° = 52°#

How to solve your problem

Topics: Algebra, Quadratic Equation

2

+

1

=

−

3

2x+1=x-3

2x+1=x−3

Solve

1

Subtract

1

1

1

from both sides of the equation

2

+

1

=

−

3

2x+1=x-3

2x+1=x−3

2

+

1

−

1

=

−

3

−

1

2x+1{\color{#c92786}{-1}}=x-3{\color{#c92786}{-1}}

2x+1−1=x−3−1

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

−

4

2x=x-4

2x=x−4

3

Subtract

x

x

from both sides of the equation

2

=

−

4

2x=x-4

2x=x−4

2

−

=

−

4

−

2x{\color{#c92786}{-x}}=x-4{\color{#c92786}{-x}}

2x−x=x−4−x

4

Simplify

Combine like terms

Multiply by 1

Combine like terms

=

−

4

x=-4

x=−4

Solution

=

−

4

Answer:

Yes.

Step-by-step explanation:

Minus and difference mean the same thing. To find the difference, you subtract or minus, so they are the same thing.

Answer:

Does the answer help you?

Answer:

6/(x + 4)(x - 2)

Step-by-step explanation:

(12x - 96)/(x² - 4x - 32) ÷ (6x² - 6x - 12)/(3x + 3)

12x - 96 = 12(x - 8)

x² - 4x - 32 = (x - 8)(x + 4)

(12x - 96)/(x² - 4x - 32) = 12/(x + 4)

6x² - 6x - 12 = (3x + 3)(2x - 4)

(6x² - 6x - 12)/(3x + 3) = 2x - 4 = 2(x - 2)

(12x - 96)/(x² - 4x - 32) ÷ (6x² - 6x - 12)/(3x + 3) = 12/(x + 4) ÷ 2(x - 2) = 12/(x + 4) × 1/2(x - 2) = 6/(x+4)(x-2)

9514 1404 393

Answer:

  quiz score if no homework is done

Step-by-step explanation:

The y-intercept is the point where the horizontal coordinate is zero. That axis is defined as "hours per week spent on homework". So, the y-intercept is the function value when zero hours per week are spent on homework.

The function value is defined as "expected quiz score".

Then the y-intercept is ...

  the expected quiz score when zero hours per week are spent on homework

Answer:

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

4x+7=9x-33

4x-9x=-33-7

-5x=-40

x=8

4×8+7=39

Answer:

Numerator is 7 and denominator is (m+4)

Step-by-step explanation:

(4m-17)/(m^2-16)+(3m-11)/(m^2-16)=(7m-28)/(m^2-16)=7/(m+4)

Answer:

115 in.^2

Step-by-step explanation:

The total surface area is the sum of the areas of the square base and the 4 congruent triangular faces.

SA = b^2 + 4 * bh/2

SA = (5 in.)^2 + 4 * (5 in.)(9 in.)/2

SA = 25 in.^2 + 2 * 45 in.^2

SA = 115 in.^2

Answer:

Wdym? that is fraction form, but if you ment decimal form; it is .7777 repeating and .25

Step-by-step explanation:

Answer:

99 in²

Step-by-step explanation:

Perimeter = 2(length) + 2(width)

40 = 2(length) + 2(9)

40 = 2L + 18

40 - 18 = 2l

22 = 2l

L = 11

Area = length x width

Area = 9 x 11 = 99

99 square inches

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: 360

Step-by-step explanation:

you multiply 40 and 9.

first you multiply 9 and 0 that is 0 then 9 to 4 and that is 36 so you get 360

9.4 × [tex]10^{2}[/tex]

1) Move the decimal point 2 times to left in the number so that number, 940 so it's between 1-10: 9.4 or 9.40

2) After we moved our decimal point to the left, the decimal count would be 12 and that we moved 2 places to the left

3) We know that the notation is a x [tex]10^{b}[/tex]

a=9.4 and 6=2

9.4 × [tex]10^{2}[/tex]=a x [tex]10^{b}[/tex]

I hope I've helped!

Answer:

9.4x10^8

Step-by-step explanation:

940 million looks like

940,000,000. in scientific notation you would move the decimal left 8 spaces

Answer:

a = sqrt(7)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

a^2 +3^2 = 4^2

a^2 +9 = 16

a^2 = 16-9

a^2 = 7

Taking the square root

a = sqrt(7)

Answer:

..D).... x = 8..

Step-by-step explanation:

..x = 8..

Complementary angles always are 90 degrees when added to each other, so:

x = angle 1

x + 89.8 = angle 2

x + x + 89.8 = 90

2x = 90 - 89.8

2x = 0.2

x = 0.1

angle 1 = 0.1 degrees

angle 2 = 0.1 + 89.8 = 89.9 degrees

if you want to check, just sum one to the other and see if they equal 90, like this: 89.9 + 0.1 = 90

Answer:

Hello,

Step-by-step explanation:

3)

[tex]x^2-4x+3=0\\x^2-3x-x+3=0\\x(x-3)-(x-3)=0\\(x-3)(x-1)=0\\\\x-intercepts\ are\ x=3\ or\ x=1[/tex]

4)

[tex]-x^2-8x+12=0\\x^2+8x-12=0\\(x^2+2*4x+16)-16-12=0\\\\(x+4)^2-28=0\\\\\\(x+4-2\sqrt{7} )((x+4+2\sqrt{7} )=0\\\\x-intercepts\ are \ x=-4+2\sqrt{7}\ and\ x=-4-2\sqrt{7}\\\\[/tex]

5)

[tex]f(x)=-3(x-7)(x+4)\\=-3(x^2-3x-28)\\\\=-3(x^2-2*\dfrac{3}{2} *x+\dfrac{9}{4} )+\dfrac{27}{4} +84\\\\=-3(x-\dfrac{3}{2})^2+\dfrac{363}{4} \\\\\\Vertex\ is\ (\dfrac{3}{2},\dfrac{363}{4})[/tex]

Answer:

What do you need help with

Step-by-step explanation:

Do you need help with a specific question? Or with the whole assignment?

Answer:area is 60, height is 4, and perimeter is 34

Step-by-step explanation:

Answer:

hmmm I think it's true, if it's not my bad.

Answer:

96 darling

Step-by-step explanation:

youre gonna take all the times this was teice as mich as that

like this:blueberrybagel twice as much 2

than plain bagels 1

cinnamonbags 3 times as much than

blueberry bagels 2×3= 6+

=9

EACH portion contains144:9=16 bagels

blueberry ones16×2=32

plain ones16×1=16

cinnamon ones 3×32=96