At a school camp there is enough food for 150 students for 5 days.
a How long would the food last if there were only 100
students?

Answer:

[tex]3(y + 2) - 5 = 22 \\ 3(y + 2) = 27 \\ (y + 2) = 9 \\ y = 9 - 2 \\ y = 7[/tex]

Answer: 7

Step-by-step explanation:

3y+6-5=22

3y+1=22

3y=22-1

y=21/3

y=7

Answer:

-27

Step-by-step explanation:

-3 x -3=9

9 x -3= -27

Answer:

-27

Step-by-step explanation:

Assuming 5476 is given in base 10.

We have

5476 = 2×2401 + 674 = 2×7⁴ + 674

674 = 1×343 + 331 = 1×7³ + 331

331 = 6×49 + 37 = 6×7² + 37

37 = 5×7 + 2 = 5×7¹ + 2

2 = 2×1 = 2×7⁰

so that

5476₁₀ = 21652₇

9514 1404 393

Answer:

  g(x) = (x -3)² -6

Step-by-step explanation:

You know that a function f(x) is translated h units to the right when x is replaced by x-h.

  g(x) = f(x-h) . . . . . translated h units right

You also know that a function f(x) is translated k units up when k is added to the function value.

  g(x) = f(x) +k . . . . . translated k units up

__

Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...

  g(x) = f(x -3) -6

Using the given definition of f(x), this becomes ...

  g(x) = (x -3)² -6

Answer:

random number generators return numbers from 0 to 1...

a) generate 25 random numbers if the number x is ≤ .4 he makes the shot

otherwise he misses

a) generate 8 random numbers if the number x is ≤ .752 she makes the shot otherwise it is a miss

otherwise he misses

Step-by-step explanation:

Answer:

ans...g(-1) is 4 . Is it true?

g( ‐1 ) = 7

Step-by-step explanation:

substitute your (x) value with ( ‐ 1)

Answer:

1) [tex] - \frac{4}{5} [/tex]

2) [tex] \frac{9}{8} [/tex]

Step-by-step explanation:

[tex] \frac{2}{5} - \frac{2}{3} = \frac{2 \times 3}{5 \times 3} = \frac{2 \times 5}{3 \times 5} = \frac{6}{15} - \frac{10}{15} [/tex]

[tex] \frac{6 - 10}{15} = - (10 - 6) = - 4[/tex]

[tex] = - \frac{4}{15} [/tex]

°■°■°■°■°■°■°■°■°■°

[tex] \frac{3}{4}+\frac{3}{8} [/tex]

[tex] \frac{6+3}{8} [/tex]

[tex] = \frac{9}{8} [/tex]

Answer:

f(5) = 22

Step-by-step explanation:

Substitute x = 5 into f(x) for image , that is

f(5) = 3(5) + 7 = 15 + 7 = 22

Answer:

24/100 written in decimal form is .24

16% written as a decimal is .16

.24 would be greatest i believe

Step-by-step explanation:

24/100 is in the 100th place so your decimal would be 0.24

16% is also in the 100th place so .16 :)

Answer:

please help me my friend

Answer:

see image

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

Given

c = 8πab ( isolate a by dividing both sides by 8πb

[tex]\frac{c}{8\pi b}[/tex] = a

Answer:

Step-by-step explanation:

1+cos 2a=2cos^2a

cos a=√[(1+cos 2a)/2]

[tex]put~a=\frac{\pi }{8} \\2a=\frac{\pi }{4} \\\\cos\frac{\pi }{8} =\sqrt{\frac{1+cos \frac{\pi }{4} }{2} } \\=\sqrt{\frac{1+\frac{\sqrt{2}}{2} }{2} }\\=\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]

Answer:

Step-by-step explanation:

Mean = Sum of data ÷ number of data set

         [tex]=\dfrac{9+3+15+7+2+4+3}{7}\\\\=\dfrac{43}{7}\\\\= 6.14\\\\= 6.1[/tex]

Median:

Arrange the data in ascending order:

2 , 3 , 3 , 4 , 7 , 9 , 15

Middle term is the median of the data set

Median  = 4th term = 4

Mode:

Mode is the data whose is frequency is more.

So, mode = 3

Range = Maximum - minimum

           = 15 - 2

           = 13

Answer:

[tex]y = \frac{1}{2} x - 1[/tex]

Step-by-step explanation:

Hope it is helpful....

Step-by-step explanation:

Total sales

Rs 5000- Rs 500= Rs 4500

The required amount received by the businessmen is 4500, from the sale.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the money businessman get be x,
According to the question,
x + commission of the agent = 5000

x + 500 = 5000
x = 4500

Thus, the required amount received by the businessmen is 4500.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Each term has a common factor of x + y + z, so

a (x + y + z) + b (x + y + z) + c (x + y + z) = (a + b + c) (x + y + z)

Answer:

I HOPE IT WILL HELP YOU.

Have a great day ahead.

Answer:

1

Step-by-step explanation:

The second power and square root cancel each other (second power means squared by the way)

Answer:

[tex] \frac{x - 5}{3} \geqslant 2.8 \\ \\3 \times ( \frac{x - 5}{3} ) \geqslant \frac{28}{10} \times 3 \\ \\ \\ x - 5 \geqslant \frac{84}{10} \\ \frac{84}{10} = 8.4 \\ \\ x - 5 \geqslant 8.4 \\ \\ x \geqslant 13.4[/tex]

Step-by-step explanation:

-7/10 ÷ 2/5 = -7/10 x 5/2 = - 7/4

Answer:

your answer is

[tex]-\frac{7}{4}/[/tex]

Answer:

its 10 trust me

Step-by-step explanation:

Answer:

"How many times does 81 divide into 547?"

Answer:

C.I=P(1+r/100)^n-1

1881=p(109/100)^2-1

1881=p(11881-10000/10000)

1881=p×1881/10000

1881/1881×10000=p

P=10,000

Answer:

x = 13, y = 24.

Step-by-step explanation:

5x - 8 + 63 + 7x - 31 = 180  (interior alternate angles are equal).

12x + 24 = 180

12x = 180 - 24 = 156

x = 156/12

x = 13.

4y + 27 =  63 + 7x - 31       (interior alternate angles are equal).

4y +27 = 32 +7(13)

4y = -27 +32 + 91

4y = `96

y = 96/4

y = 24.

Answer:

pretty sure its step 2

Step-by-step explanation:

Answer:

yes it is

rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). It can be written as a fraction in which the the top number (numerator) is divided by the bottom number (denominator).

plsmark me brilliant

After t hours, the first truck covers a distance of (70 km/h) t while the second truck covers a distance of (80 km/h) t. So the distance between them is

(70 km/h) t + (80 km/h) t = (150 km/h) t

They are 900 km apart after

(150 km/h) t = 900 km   ===>   t = (900 km) / (150 km/h) = 6 h