Mr. Andrews must spend less than $75 on lunches during the pay period. He has already spent $30 on lunches. Each meal at the work cafeteria costs $9. How many additional meals can Mr. Andrews buy at the work cafeteria this pay period? Select the inequality that includes the maximum number of additional meals Mr. Andrews can buy at the work cafeteria this pay period while still staying within his budget. A. x < 9 B. x < 45 C. x < 30 D. x < 5 Reset Next Question

Step-by-step explanation:

[tex]cylinder \: area \: = (2 \times \frac{\pi}{4} \times {dia}^{2} ) + (\pi \times dia \times hieght) \\ = (2 \times \frac{\pi}{4} \times {3.8}^{2} ) + (\pi \times 3.8 \times 12.7) \\ = 22.7 + 151.5 \\ = 174.2 \: {m}^{2} [/tex]

Answer:

Six over Seven

Step-by-step explanation:

Answer:

six sevenths

Step-by-step explanation:

6/7 in words is six sevenths

Answer: 0.353

Step-by-step explanation:

We know that 42% of all the female students participate in 2 sports this season. (58% is the percent that did not)

This means that if we select a random student, there is a 0.42 probability that the student did participate in 2 sports this season.

Other thing that i will use is that, if we have a group of N objects, and we want to create a group of K objects out of the N, the number of combinations is:

[tex]c = \frac{N!}{(N - K)!*K!}[/tex]

Now, out of 5, we want to find the proability that, at least 3 of them, did participate in at least 2 sports this season.

The probability that all 5 of them participated, is equal to the product of the individual probabilities. (so N = 5, and K = 5)

P = (0.42^5)*1 = 0.013

Now, if only 4 of them did participate (N = 5, k = 4), the probability is equal to:

P = (0.42^4)*(0.58)*5!/4! = (0.42^4)*(0.58)*5 = 0.09

The probability for only 3 is: (N = 5 and K = 3)

P = (0.42^3)*(0.58^2)*5!/(3!*2!) = (0.42^3)*(0.58^2)*(5*4/2) = 0.25

Then the total probability is:

P = 0.013 + 0.09 + 0.25 = 0.353

Answer:

8/20

Step-by-step explanation

boys left handed=3

boys right handed=9

girls left handed=2

girls right handed=6

what is the probability that a student chosen from random is a girl? give answer as a fraction please and include step by step process

girls left handed: 2

girls right handed: 6

6+2=8

total all students 20

8/20

Answer:

y = mx + b equals y = the slope of the line(x) + the y-intercept

First find the slope of the line using rise/run, which is 12/-2 so the slope is -6

To find the y-intercept, you need to look for the point where x = 0 (or the point that lies on the y-axis), which is when y = -4 so the equation is:

y = -6x - 4

Answer:

[tex]x=z-\sqrt{-y} , or, x^2=z^2-y^2\\y=z-\sqrt{-x}, or, y^2=z^2-x^2[/tex]

Step-by-step explanation:

I can't do much except put the Pythagorean theorem in terms of y or x.

All I did was isolate x or y by subtracting the, x or y variable from each side.

[tex]-(y^2)+x^2 +y^2=z^2-(x^2)\\-(y^2)+x^2 +y^2=z^2-(y^2)[/tex]

Which tuns it into:

[tex]x^2=z^2-y^2\\y^2=z^2-x^2[/tex]

And I isolated further by squaring each side, but squaring negative number is difficult and causes imaginary numbers so I just think it should stay as all of them to the power of two.

Answer:

3+4+5+11= 56

Step-by-step explanation:

Answer:

2(n²)+5n-3

Step-by-step explanation:

4,15,30,49,72,99,130

1st you find the difference between the numbers: (e.g. difference between 4 and 15 is 11)     11,15,19,23,27,31 Then you find the second difference between them.     4,4,4,4,4,4

If you divide the second difference by 2, you will get the value of a. 4 ÷ 2 = 2

So the first term of the nth term is 2n²

Then you have to do what do you do to get from 2n² to 4,15,30,49,72,99,130

Answer:

p = 13

Step-by-step explanation:

When a polynomial f(x) is divided by (x + h) then the remainder is f(- h)

Here both polynomials are divided by (x + 1)

Evaluate them both for x = - 1

3(- 1)³ - 5(- 1)² - 4(- 1) + p, that is

- 3 - 5 + 4 + p

= p - 4 → A

6(- 1)³ + p(- 1)² + 9(- 1) + 5, that is

- 6 + p - 9 + 5

= p - 10 → B

Given that A = 3B, then

p - 4 = 3(p - 10)

p - 4 = 3p - 30 ( subtract 3p from both sides )

- 2p - 4 = - 30 ( add 4 to both sides )

- 2p = - 26 ( divide both sides by - 2 )

p = 13

Answer:

The range of the box plot is 10.

Step-by-step explanation:

To find the range subtract the highest value to the lowest value.

Since 13 is the highest and 3 is the lowest the answer is 10

Hope this helps.

Answer:

[tex]3.1[/tex]

Step-by-step explanation:

Range = biggest no. - smallest no.

Range = [tex]6.3-3.2[/tex]

Range = [tex]3.1[/tex]

Answer:

3.1

Step-by-step explanation:

Range is the difference between the highest and the least number in a set.

Out of all the numbers given, 6.3 is the highest and 3.2 is the least. When, I found the difference of those two numbers, the difference was 3.1. :)

Answer:

x = -5/3 and y = -1

Step-by-step explanation:

write it as a system and simplify

-4 for the first equation (in the photo but when putting it into a system of equations it would be 2nd)

So it's

-3x-2y=7

-3x+2y=3

then it's -6x=10

then divide oth sides by -6 to get x then plug that into whatever equation and solve for y.

i hope this is right and helps

Answer:  12.56 / 4 = 3.1416 =9.4248

Step-by-step explanation: pi by the 2 squared gives u the area of all the circle but u need to fin 3/4 of the circle so divide by 4 and the result of the dividion x 3 gives u the answer

Answer:

x=-14 (im pretty sure its right )

Step-by-step explanation:

like terms :p

Answer:

Option (2).

Step-by-step explanation:

Let f(x) and g(x) are the two functions with domain A and B.

Then (fg)(x) will be the function with domain A∩B

(fg)(x) = f(x)g(x)   Domain : A∩B

In this question two functions are,

c(x) = [tex]\frac{5}{(x-2)}[/tex] and d(x) = (x + 3)

Domain : (x - 2) > 0 ⇒ x > 2

              and (x - 2) < 0 ⇒ x < 2

Or domain of (cd)(x) will be C = (-∞, 2)∪(2, ∞).

Similarly, d(x) = x + 3

Domain : All real numbers

             : D = (-∞, ∞)

(cd)(x) = c(x)d(x)

          = [tex]\frac{5}{(x-2)}\times (x+3)[/tex]

Domain of (cd)(x) will be,

Domain : C∩D = (-∞, 2)∪(2, ∞) ∩ (-∞, ∞)

             : (-∞, 2) ∩ (2, ∞)

Therefore, domain of (cd)(x) will be all real values except 2.

Option (2) will be the answer.

Answer:

Step-by-step explanation:

Just plug in 6 as x.

[tex]f(6)=2(6)^2+\sqrt{5} *(6-2) \\or\\f(6)=2(6)^2+\sqrt{5(6-2)}[/tex]

Depending on how the equation is written (I got confused so I gave both answers of what I thought both versions were) this is the answer.

[tex]72+4\sqrt{5} =2(6)^2+\sqrt{5} *(6-2) \\or\\72+2\sqrt{5} =2(6)^2+\sqrt{5(6-2)}[/tex]

Answer:

108 - 84i

Step-by-step explanation:

12( 9-7i)

Distribute

12*9 - 12*7i

108 - 84i

Answer:

radius is 3, center is (4,-5)

Step-by-step explanation:

when you graph this, put the first point at (4,-5) and then expand three squares up.

Answer:

A. 0

Step-by-step explanation:

y= mx+b

with same slope, m= same for both

if b  is different, then the lines are parallel

so no solution, option A. 0

Answer:

38

Step-by-step explanation:

Find the values of each function.

f(-9)= 4

g(6)=6

Then plug them in.

-1 x 4 + 7 x 6

-4+42

38!

Answer: -5

Step-by-step explanation: Let me know if you need an explanation.

Answer:

0.6     is the answer

Step-by-step explanation:

Answer:

[tex]3[/tex] Miles

Step-by-step explanation:

[tex]1.8^2+2.4^2=c^2[/tex]

[tex]9=c^2[/tex]

[tex]9-c^2=c^2-c^2[/tex]

[tex]-c^2+9=0[/tex]

[tex]-c^2+9-9=0-9[/tex]

[tex]-c^2=-9[/tex]

[tex]\frac{-c^2}{-1} = \frac{-9}{-1}[/tex]

[tex]c^2=9[/tex]

[tex]c=+\sqrt{9}[/tex]

[tex]c=3[/tex]

Answer:

x= -8    x=2

Step-by-step explanation:

x^2 +6x-6= 10

Subtract 10 from each side

x^2 +6x-6-10= 10-10

x^2 +6x-16 = 0

What 2 number multiply to -16 and add to 6

8 * -2 = -16

8 -2 = 6

(x+8) (x-2)=0

Using the zero product property

x+8=0  x-2=0

x= -8    x=2

Answer:D

Step-by-step explanation:

Horizontal translation: 2 units right.

Vertical translation: 5 units up

Stretch/compression: stretched by a factor of 3.

Reflection: not reflected.

Answer:

(-5,4)

Step-by-step explanation:

A: (5,4)

Reflect it across the y axis would mean you negate the x value

So if you reflect it across the y axis, 5 would become -5

Answer:

B

(-5,4)

Step-by-step explanation:

square 1 (+,+) square 2 (-,+) square 3 (-,-) square 4 (+,-) Find the coordinates is (5,4) but reflect the y-axis so it goes to square 2 where the x-axis turns in to a negative

Answer:

a= -8.33

Step-by-step explanation:

it will be deceleration because he was 12 m/s then go to 4.5 m/s

and by applying moving equation

[tex]v_{2}[/tex]=[tex]v_{1}[/tex]+at

we have all but not have a