Identify the independent and dependent variable: The equation c=0.09s gives the amount c (in dollars) of commission a salesperson receives for making a sale of s dollars.

Answers

Answer 1

Answer: The independent variable should be s, and the dependent variable should be c, because c varies depending on what s is.

Answer 2

Answer:

Answer:

The equation t = 12p + 12 gives the total cost t (in dollars)

of a meal with a tip of p percent (in decimal form).

Step-by-step explanation:

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Find all solutions for X and check. (different from the other question I asked earlier) thanks!

Answers

$\displaystyle \n 17) \n x(5x-10)=0 \n x = 0 ~~\texttt{or}~~5x-10 = 0 \n x_1 = \boxed{0} \n \n x_2 = (10)/(5) =\boxed{2} \n \texttt{Check: } \n x_1 = 0~~\Longrightarrow ~~ 0(5\cdot 0 - 10) = 0 \cdot (-10) = 0 \n x_2 = 2~~\Longrightarrow ~~ 2(5\cdot 2 - 10) = 2(10 - 10) = 2 \cdot 0 = 0$

$\displaystyle 18) \n x^2 + 7x-18 = 42 \n x^2 + 7x-18 - 42 =0 \n x^2 + 7x-60 =0 \n .~~~~~7x = 12x - 5x \n \underbrace{x^2 + 12x} -\underbrace{5x - 60} = 0 \n \n x(x+12) -5(x+12)=0 \n (x+12)(x-5)=0 \n x + 12 = 0 ~~\texttt{or}~~x-5 = 0 \n \n x_1 = \boxed{-12} \n x_2 = \boxed{5} \n \n \texttt{Check: } \n x1 = -12 ~~\Longrightarrow~~ (-12)^2 + 7\cdot (-12)-18 = 144-84-18 = 42 \n \n x2 = 5 ~~\Longrightarrow~~ (5)^2 + 7\cdot (5)-18 = 25+35-18 = 42 \n \n$

Which is longer, 2 feet or 28 inches?

Answers

28 inches its 2 more inches than t feet

28 inches.
2 feet is 24 inches

2 fifths of a number is 14. what is the number?

Answers

In math

"of" means times (x)
"is" means equals (=)
"a number" is your unknown which you can call anything but we'll call x

2/5 of a number is 14

Translation...

2/5 * x = 14

Divide each side by 2/5 to isolate x. To divide a fraction, multiply the reciprocal of the divisor (flip the numerator and denominator).

x = 14 * 5/2
x = 70/2
x = 35

2/5 of 35 is 14.

sara travels twice as far as Eli when going to camp. Ashley travels as far as Sara and Eli together. Hazel travels 3 times as far as Sara. In total , all four travel a total of 888 miles to camp. How far do each of them travel?

Answers

Let's represent how far Eli travels as x.
Sara travels twice as far as that, so 2x.
Ashley travels as far as Eli and Sara combined. x + 2x = 3x.
Hazel travels 3× as far as Sara, and 3×2x = 6x.

All of these add up to 888.
x + 2x + 3x + 6x = 888
Let's add up these like terms.
12x = 888
We can then divide each side by 12...
x = 74

Therefore, Eli traveled 74 miles!
We can use this value to figure out everyone else's distances as well.
Sara = 2 × 74 = 148
Ashley = 3 × 74 = 222
Hazel = 6 × 74 = 444

Sara: 148 miles
Eli: 74 miles
Ashley: 222 miles
Hazel: 444 miles

Further explanation

Given:

Sara travels twice as far as Eli when going to camp.
Ashley travels as far as Sara and Eli together.
Hazel travels three times as far as Sara.
In total, all four travel a total of 888 miles to camp.

Question:

How far does each of them travel?

The Process:

Notice of the four people, the easiest way is to start from Eli.

Let's call Eli's travel as x.

$\boxed{ \ Eli's \ travel = x \ }$

Sara travels twice as far as Eli.

$\boxed{ \ Sara's \ travel = 2x \ }$

Ashley travels as far as Sara and Eli together.

$\boxed{ \ Ashley's \ travel = x + 2x \rightarrow \boxed{ \ Ashley's \ travel = 3x \ }}$

Hazel travels three times as far as Sara.

$\boxed{ \ Hazel's \ travel = 3 * 2x \rightarrow \boxed{ \ Hazel's \ travel = 6x \ }}$

In total, all four travel a total of 888 miles to camp. Meaning, all of the above adds up to 888.

$\boxed{ \ x + 2x + 3x + 6x = 888 \ }$

$\boxed{ \ 12x = 888 \ }$

$\boxed{ \ 12 \cdot x = 888 \ }$

Both sides multiplied by 12.

$\boxed{ \ x = 888 / 12 \ }$

$\boxed{\boxed{ \ x = 74 \ }}$

We have obtained x. The final step is to substitute the value of x for each person's travel.

$\boxed{ \ Eli's \ travel = x \rightarrow \boxed{ \ Eli's \ travel = 74 \ miles \ }}$
$\boxed{ \ Sara's \ travel = 2x \rightarrow \boxed{ \ Sara's \ travel = 2 * 74 = 148 \ miles \ }}$
$\boxed{ \ Ashley's \ travel = 3x \rightarrow \boxed{ \ Ashley's \ travel = 3 * 74 = 222 \ miles \ }}$
$\boxed{ \ Hazel's \ travel = 6x \rightarrow \boxed{ \ Hazel's \ travel = 6 * 74 = 444 \ miles \ }}$

Thus we already know how far each of them travels.

- - - - - - -

The summary scheme is as follows:

Eli's travel ⇒ $\boxed{x}$
Sara's travel ⇒ $\boxed{x}\boxed{x}$
Ashley's travel ⇒ $\boxed{x}\boxed{x}\boxed{x}$
Hazel's travel ⇒ $\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}$

$\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x} = 888$

$\boxed{ \ 12 \cdot x = 888 \ }$

$\boxed{ \ x = 888 / 12 \ }$

Hence, the value of x is $\boxed{\boxed{ \ x = 74 \ }}$

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Keywords: Sara travels, twice, as far as, Eli, when going to camp, Ashley, Hazel, three times, In total, all four travel, 888 miles, how far, each, substitute

What is the product? (5r − 4)(r2 − 6r + 4)A. 5r3 − 34r2 + 44r − 16
B. 5r3 − 4r2 + 14r − 16
C. 5r3 − 6r − 16
D. 5r3 + 10r − 16

Answers

The product is: 5r³ -34r² + 44r -16

What is expression?

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Given:

(5r − 4)(r² − 6r + 4)

= 5r*r² - 5r *6r + 5r * 4 - 4r²+ 24r -16

= 5r³ - 30r² + 20r -4r² + 24r - 16

= 5r³ -34r² + 44r -16

Learn more about expression here:

brainly.com/question/14083225

#SPJ5

Answer:

Step-by-step explanation:

thank me later

The product of 5 and the difference of 7 times the square of x and 3

Answers

Answer:

5 x (7x²-3)

5 (7x²-3)

Step-by-step explanation:

Product means the result of multiplication.

Difference means the result of subtraction

Times indicates multiplication

square of means raised to the power of 2

The product of 5 and the differenceof 7 times the square of x and 3

5 x (7x²- 3)

When you see "and" in between, this indicates the variables that are involved in the operation mentioned. Since it says the product of 5 and the difference of... This mean that 5 is multiplied to the quantity of the other operation used, which is the difference of 7 times the square of x and 3.

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