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Answer:

John has 12 pairs of pants and 28 pairs of shorts.

Step-by-step explanation:

Given that the ratio of pants to shorts that John has is 3: 7, if John has 12 pairs of pants, to determine then how many pants and shorts does he have the following calculation must be performed:

(12/3) x 7 = X

4 x 7 = X

28 = X

Therefore, John has 12 pairs of pants and 28 pairs of shorts.

Answer:

Hi, there your answer will C. 85pi ft^2

Step-by-step explanation:

pi(5)(12)+pi(5)^2

60pi+25pi

85pi ft^2

Hope this helps :)

angle 3 = 127°.

I hope this may be helpful

Answer:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form

x² + y² + 2x - 2y - 7 = 0

Step-by-step explanation:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form   \Expand graphing form\

(x² + 2x + 1) + (y² - 2y + 1) - 9 = 0

Rearrange

x² + y² + 2x - 2y - 7 = 0

To find the total cost you need to multiply the hourly rate by the number of hours they work and add the fixed fee.

C = 17h + 15

Answer:

k ≈ - 0.069

Step-by-step explanation:

Given

A = 800 [tex]e^{kt}[/tex]

Substitute A = 400 and t = 10 into the equation

400 = 800 [tex]e^{10k}[/tex] ( divide both sides by 800 )

0.5 = [tex]e^{10k}[/tex] ( take the ln of both sides )

ln [tex]e^{10k}[/tex] = ln0.5

10k lne = ln0.5 [ lne = 1 ]

10k = ln 0.5 ( divide both sides by 10 )

k = [tex]\frac{ln0.5}{10}[/tex] ≈ 0.069 ( to the nearest thousandth )

Answer:

Step-by-step explanation:

400 = 800 * e^(k*t)

What are the units of t? I'm taking it as years.

Divide by 800

400/800 = e^(k*10)

1/2 = e^(k*10)

ln(1/2) = ln(e)^(k*10)

ln(1/2) = k*10 * ln(e)

ln(e) = 1

-0.69314 = k*10

-0.069314 = k

Check

A = 800 e^(-0.069314*10)

A = 800 e^(-0.69314)

A = 800 * 0.50000359

A = 400.0028722

Which is close enough to 400

Answer:

yes it is good luck with your work

Answer:

"The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0."

https://education.ti.com/html/t3_free_courses/calculus84_online/mod02/mod02_lesson3.html#:~:text=The%20slope%20and%20y%2Dintercept%20values%20indicate%20characteristics%20of%20the,the%20x%2Dvalue%20is%200.

Step-by-step explanation:

An

Step-by-step explanation:

Cx+y s 100

Answer:

All the inequalities that model the constraints for this situation:

(d) x + y < 200 ;

(e) 0.75 x + 0.50 y ≥ 100

Step-by-step explanation:

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

As, x represent the number of candy bars sold & y represent the number of bags of chips sold.

It is given that,

price for one candy bar =  $0.75

also, price for one dag of chips = $0.50

So, price for 'x' candy bar =  $0.75x

also, price for 'y' of chips = $0.50 y

Is is mentioned in question, the sale of candy bar and bag of chips shoud be atleast $100.  

the First ineqaulity be,

0.75 x + 0.50 y ≥100

(which should the sales of candy baar and dag of chips be equal to 100 dollar or greater than 100 dollar)

Now, the second situation

Again, it is mentioned in the question is number of units (candy bar and dag of chips)  should be not more than 200 units.

the second inequality be,

x+ y < 200

(which shows that number of candy bar and dag of chips should be less than 200 units.)

All the inequalities that model the constraints for this situation

(d) x + y < 200

(e) 0.75 x + 0.50 y ≥100

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

Answer:

The answer is 12 hours

Answer:

[tex]\bold{y=3x-11}[/tex]

Step-by-step explanation:

Begin with the equation [tex]y=mx+b[/tex]. Let's first find [tex]m[/tex].

For each time [tex]x[/tex] increases by 2 (the rows skip by 2), [tex]y[/tex] increases by 6. Since the relationship is linear, if [tex]x[/tex] were to increase by just 1 (half of 2), [tex]y[/tex] would increase by 3 (since we halve each component). Therefore, [tex]m=3[/tex].

To find [tex]b[/tex] (the y-intercept), we plug in the first value of [tex]x[/tex] we are given and notice the result. In this case, [tex]4 *3=12[/tex]. However, the first value of [tex]y[/tex] is 1, so we must subtract 11 so that the first term is 1. Hence, [tex]y=3x+11[/tex].

Answer:

$7500

Step-by-step explanation:

Given

[tex]I = 525[/tex]

[tex]R = 3.5\%[/tex]

[tex]T =2[/tex]

Required

The Principal

This is calculated using:

[tex]I =PRT[/tex]

Make P the subject

[tex]P = \frac{I}{RT}[/tex]

So, we have:

[tex]P = \frac{525}{3.5\% * 2}[/tex]

[tex]P = \frac{525}{7.0\%}[/tex]

[tex]P = 7500[/tex]

Answer:

A

Step-by-step explanation:

the point is at positive 8 and none of the other answers have positive 8

Answer:

x = 8

Step-by-step explanation:

36 × 2 = 9 × x

72 = 9x

9x = 72

9x ÷ 9 = 72 ÷ 9

x = 8

Answer:

there 18 girls

Step-by-step explanation:

40% of 30 = 12

this means there are 12 boys

30-12 = 18

there 18 girls

Answer:

240 million

Step-by-step explanation:

I took the application

Answer:

B

Step-by-step explanation:

Answer:

2048 I think

Step-by-step explanation: 8 to the power of 3 times 4

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

a = 7

b = 7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

in a 45-45-90° triangle, the length of legs to hypotenuse is 1 : [tex]\sqrt{2}[/tex]

Answer:

0

Step-by-step explanation:

Anything multiplied by 0 is 0. sorry if i did it wrong

Answer:

The angles are proportional and the side lengths are proportional.

Step-by-step explanation:

Savaas Realize

Part (a)

The raw score is x = 25. The mean and standard deviation are mu = 45 and sigma = 13.8 respectively.

The z score is computed with the formula below

z = (x-mu)/sigma

z = (25-45)/13.8

z = -1.449275 approximately

z = -1.45 is the final answer

========================================================

Part (b)

We want the z score to be larger than 2. So z > 2.

This is the same as wanting the expression (x-mu)/sigma to be larger than 2

(x-mu)/sigma > 2

(x-45)/13.8 > 2

x-45 > 2*13.8

x-45 > 27.6

x > 27.6+45

x > 72.6

If a customer's age is greater than 72.6 years, then this means they have a z score greater than 2. We can say they are more than 2 standard deviations above the mean.

If you need a whole number, then I'd round up to 73. Or you could pick any age larger than this.

Answer:

Step-by-step explanation:

since 3 is outside the parenthesis (n + 2) you multiply the 3 by the n and the 2 and

3n + 6

next subtract the 6 and add the 6 to the other side

3n - 6 = 6

3n = 6

n = 2