4=(-8)+3x solve for x

Answers

Answer 1

Answer: Answer: x=4
4=-8+3x
4+8=+8+3x
12=3x
x=4

Answer 2

Answer: 4=(-8)+3x -3x=-8-4 -3x=-12 X=-12 divided by -3 X=4

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Order the Numbers from least to greateat. square root 11, -0.4 continuing, 3.41, - 9 over 20.

Answers

List: $√(11)$ (approx 3.32), -0.4 (repeating), 3.41, $(-9)/(20)$ (-0.45)

Ordered from Least to Greatest:
$(-9)/(20)$ (-0.45)
-0.4 (repeating)
$√(11)$ (approx 3.32)
3.41

Sally earns graduated commission on her sales each month. She earns 6% commission on the first $45,000 in sales and 8% on anything over that. If Sally had $51,000 in sales this month, how much commission did she earn?

Answers

She earns a commission is $3180 this month.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that she earns 6% commission on the first $45,000 in sales and 8% on anything over that.

If Sally had $51,000 in sales this month

We have to determine her commission earnings this month

For the amount, she sold above $45,000

So, 51000 - 45000 = 6000

So her commission earning in this month as

⇒ (6/100)×45000 + (8/100)×6000

⇒ 2700 + 480

⇒ 3180.

Hence, her commission earning is $3180 this month.

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To find the answer we must calculate her comission earnings for $45.000 and for the amount she sold above $45.000 (in our case, 51.000 - 45.000 = 6.000). So in total we have 6/100 * 45.000 + 8/100 * 6000 = 2700 + 480 = 3180.

1/x-1 - 3/x+2 = 1/4

solve to find x

Answers

$(1)/(x-1)-(3)/(x+2)=(1)/(4)\n \n (x+2-3(x-1))/((x-1)(x+2))=(1)/(4)\n \n (x+2-3x+3)/((x-1)(x+2))=(1)/(4)\n \n (5-2x)/(x^2+x-2)=(1)/(4)\n \n 4(5-2x)=x^2+x-2\n \n 20-8x=x^2+x-2\n \n \boxed{x^2+9x-22=0}$

Solvin this quadratic equation with Bhaskara formula we find:

x = -11 or x = 2

$(1)/(x-1) - (3)/(x+2) = (1)/(4) \ /\cdot 4(x-1)(x+2)\n\n(4(x-1)(x+2))/(x-1) - (3\cdot 4(x-1)(x+2))/(x+2) = (4(x-1)(x+2))/(4)\n\n4(x+2)-12(x-1)=(x-1)(x+2)\n\n4x+8-12x+12=x^2+2x-x-2\n\n-8x+20=x^2+x-2\n\n-x^2-9x+22=0\ /\cdot(-1)\n\nx^2+9x-22=0\ \ \ \Rightarrow\ \ \ x^2+11x-2x-22=0\n\nx(x+11)-2(x+11)=0\n\n(x+11)(x-2)=0\ \ \ \ \ \Leftrightarrow\ \ \ (x+11=0\ \ \ or\ \ \ x-2=0)\n\nx=-11\ \ \ or\ \ \ x=2$

What is the awnser????Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x

h(g(f(x))) = ______x² + _____x + ____

1. -8, 4, 8

2. -20, 20, -40

3. 50, -50, 25

Answers

Answer:

-8, -40, -50

Step-by-step explanation:

if f(x)=2x+5, g(x)=x², h(x)= -2x

h(g(f(x))) = h(g(2x+5)) = h((2x+5)²) = h(4x²+20x+25) = -2(4x²+20x+25)

= -8x²-40x-50

ang earns $2,700 per month.He pays $600 a month on rent.What is the ratio of his rent to his monthly income?

Answers

The ratio of the rent ($600) to the income ($2700) is written as:
600 : 2700.

You need to reduce the ratio. Both 600 and 2700 are divisible by 3, and dividing them both by three, you get the following:

200 : 900.

This can be reduced further by dividing by 100.

2 : 9

So, Ang spends 2 dollars on rent for every 9 dollars he earns,

A forester is making a gasoline-oil mixture for a chainsaw engine. The forester has 2 gallons of a mixture that is 29 parts gasoline and 1 part oil. How many gallons of gasoline should the forester add to bring the mixture to 49 parts gasoline and 1 part oil?

Answers

1 1/3 gallons should be added.

if 30 parts = 2 gallons
therefore 15 parts = 1 gallon

49-29 = 20

20 - 15 (aka 1 part) = 5
5/15 = 1/3

Final answer:

To adjust the gasoline to oil ratio to 49:1 in a 2 gallon mixture, the forester must add approximately 1.333 gallons of gasoline.

Explanation:

Given that there is a mixture of 2 gallons that is constituted of 29 parts of gasoline and 1 part of oil, it translates into a 30 parts mixture (29 parts gasoline + 1 part oil). In a single gallon of mixture, there are 29/30 gallons of gasoline and 1/30 gallon of oil.

When additional gasoline is added, the amount of oil in the mixture remains constant at 1/30 gallon per gallon while the amount of gasoline increases. To hit a ratio of 49 parts gasoline to 1 part oil, there should be 49 times more gasoline than oil. Since we know the amount of oil in a mixture is 1/30, the amount of gasoline added per gallon should be 49/30 gallons.

However, we start with 29/30 gallons of gasoline, therefore extra gasoline that will be needed per gallon is (49/30) - (29/30) = 20/30 = 2/3 gallons. Given that the mixture is 2 gallons, the forester should add 2/3*2 = 4/3 gallons or approximately 1.333 gallons of gasoline.

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