Silvio works at a car wash. He earns $50 per day and $12 per car washed. Silvio wants to earn at least $158 in 1 day.Which inequality represents the number of cars (C) Silvio must wash to reach his goal?

Answers

Answer 1

Answer:

The required inequality for Silvio to earn more than $158 in one day is, $50 + 12x ≥ 158.

Given that,
Silvio works at a car wash. He earns $50 per day and $12 per car washed. Silvio wants to earn at least $158 in 1 day.
To determine the inequality represents the number of cars (C) Silvio must wash to reach his goal.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let the number of cars washed by Silvio be x,
According to the question,
Silvio works at a car wash. He earns $50 per day and $12 per car washed.
Total earning of the day = $50 + 12x
Silvio wants to earn at least $158 in 1 day. So, his total earnings of the day must be greater equal to $158.
$50 + 12x ≥ 158.

Thus, the required inequality for Silvio to earn more than $158 in one day is, $50 + 12x ≥ 158.

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Answer 2

Answer:

Answer:

50+12x≥158

Step-by-step explanation:

starting with $50, adding $12 for every car washed (x), must be at least, but can be greater than, $158.

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(09.02 HC)The function f(x) = −x2 + 50x − 264 models the profit, in dollars, a yoga studio makes for selling monthly memberships, where x is the number of memberships sold and f(x) is the amount of profit. Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points) Part B: Determine the x-intercepts. What do these values mean in the context of the problem?

(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12. The other factors are ___, ___, and ___.

Answers

The all other 3 factors of the equation x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3).

What are the roots of an equation?

Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

Given the equation,

x⁴ + 2x³ − 7x² − 8x + 12

If (x - 2) is a factor of the equation then it should be divisible by it.

So,

(x⁴ + 2x³ − 7x² − 8x + 12) / (x - 2) = (x³ + 4x² + x - 6)

Now divide by (x - 1) of (x³ + 4x² + x - 6)

(x³ + 4x² + x - 6) / (x - 1) = x² + 5x + 6

So,

⇒ (x - 2)(x - 1)(x² + 5x + 6)

⇒ (x - 2)(x - 1)( x² + 2x + 3x + 6)

⇒ (x - 2)(x - 1)[ x(x + 2) + 3(x + 2) ]

⇒ (x - 2)(x - 1)(x + 2)(x + 3)

Hence "The all other 3 factors of the equation x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3)".

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Answer:

Step-by-step explanation:

The given equation is:

$x^4+2x^3-7x^2-8x+12$

Now, (x-2) is a factor of the given equation, therefore

$(x-2)(x^3+4x^2+x-6)$

$(x-2)(x-1)(x^2+5x+6)$

$(x-2)(x-1)(x^2+3x+2x+6)$

$(x-2)(x-1)(x(x+3)+2(x+3))$

$(x-2)(x-1)(x+2)(x+3)$

Therefore, the other factors are (x-1), (x+2) and (x+3).

Karl has stamps in his desk drawer. The possible combinations of stamps are shown below.

Answers

Karl has stamps in his desk drawer. The possible combinations of stamps are shown below
The statement that is correct is
The total number of stamps is 25
hope it helps

Answer:

Wrong, it not 25 it is 35

Step-by-step explanation:

What would my final balance be if i put $650 in the bank for 60 months with an interest rate of 6%?

Answers

Your final balance would be $2,340.

I = Prt
Percent (6%) x rate (650) x time (60 months) = 2,340

6% = 0.06

0.06 x 60 x 650 = 2,340

Final answer:

You would end up with approximately $871.89 in your bank account after investing $650 for 60 months at an annual interest rate of 6%, if the bank compounds the interest yearly.

Explanation:

In this case, we are calculating the compound interest over a certain period. The formula for compound interest is:

P = C * (1 + r/n)^(nt)

C is the initial deposit (the principal). In your case, this is $650.
The interest rate (r) is 6%. To use this in the formula, we need to convert it to decimal form by dividing by 100, so r = 0.06.
n is the number of times that interest is compounded per unit t. Since it's not stated in the question, we'll assume it is once per year.
t is the time the money is invested for in years. Converting your 60 months to years gives t = 60/12 = 5 years.

Substitute the values into the formula:

P = $650 * (1 + 0.06/1)^(1*5)

Applying mathematics, we get an approximate final balance of $871.89

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The charge of ISD from Biratnagar to Tokyo is Rs 125 for the first 3 minutes and Rs 15 for every additional 10 seconds. If a man made a call from Biratnagar to his friend in Tokyo and paid Rs 305, how long did he make a call

Answers

We know he talked for over 3 minutes since the total is 305 which is > 125 (the cost of 3 minutes). The remaining amount he paid is 305-125= 180. He was charged 15 per 10 seconds which amounted to 180. 180/15=12 which means he was charged 12 times. Each time charged it was because he took 10 seconds so in total he took 12x10= 120 second. That’s 2 minutes. The two minutes he was charged 15s plus the first 3 minutes he was charged 125 is 5 minutes. We can plug in the numbers to make sure we are right. If he talked for 5 minutes then we know for the first three he was charged 125 and the additional two he was charged 15s (s representing 10 seconds). We can put the 125 aside for now to figure out the 15s. If he took two minutes then he took 120 seconds. Divide that by 10 because he’s getting charged per 10 seconds not per second so that’s 12. 15(12) is 180. 125 + 180 is 305

*** he took five minutes talking on the phone***

Two standard number cubes are thrown simultaneously. What is the probability that the combined result of the two cubes is exactly 7, or that it is less than (but not equal to) 6? Round answer to the nearest thousandth. A. 0.444. B. 0.556. C. 0.667. D. 0.853

Answers

Probability = Desired outcomes ( m ) / Possible outcomes ( n )
Desired outcomes:
1 + 1, 1 + 2, 1 + 3, 1 + 4, 1 + 6,
2 + 1 , 2 + 2, 2 + 3, 2 + 5,
3 + 1, 3 + 2, 3 + 4,
4 + 1, 4 + 3
5 + 2,
6 + 1.
m = 16
Possible outcomes : 6² = 36, n = 36
P ( A ) = 16/ 36 = 0.4444...≈ 0.444
Answer: A ) 0.444

1 + 1, 1 + 2, 1 + 3, 1 + 4, 1 + 6,

2 + 1 , 2 + 2, 2 + 3, 2 + 5,

3 + 1, 3 + 2, 3 + 4,

4 + 1, 4 + 3

5 + 2,

6 + 1.

m = 16

Possible outcomes : 6² = 36, n = 36

P ( A ) = 16/ 36 = 0.4444...≈ 0.444

Answer: A ) 0.444

Hope I helped!

Solve for A

W=a/9

A=