Together there are 754 students and teachers in the meeting if the ratio of students to teachers is 27:2 how many teachers are there

Answer:

2.97

Step-by-step explanation:

8.8 = 4 *2.2 = 4 * 220/100

220 = 4 *55

8.8 = (4 *4*55)/100 = 16 *55/100

[tex]\sqrt{8.8} =\sqrt{(16 * 55)}/\sqrt{100\\}[/tex]

[tex]\sqrt{8.8}= \frac{4}{10}*\sqrt{55}[/tex]

≈[tex]\sqrt{8.8} = 0.4 * 7.416 = 2.9664 \\2.97[/tex]

Answer:

After 3 months, Simon will be able to pay off his loan with the money he holds at his savings account.

Step-by-step explanation:

ending loan's principal balance = beginning loan's principal balance - number of months x $300

or we can simplify it:           l₁ = l₀ - 300x ⇒ l₁ = 3,300 - 300x

l₁ = ending loan's principal balance

x = number of months

ending savings account balance = beginning savings account balance + number of months x $600

or we can simplify it:         s₁ = s₀ + 600x ⇒  s₁ = 1,000 + 600x

s₁ = ending savings account balance

x = number of months

account balances for months

                                    month 1        month 2         month 3         month 4

boat loan                     $3.000         $2,700          $2,400           $2,100

savings account          $1,600         $2,200          $2,800           $3,400

Answer:

y equals 300x plus 3300

Step-by-step explanation:

Answer:

A(x) = 6.2 - 0.005x

Step-by-step explanation:

If you think about it, either 0.5/0.005 needs to be equal to 0.5%

0.5 is the same as 1/2 and therefore it is the same as 50%

So it must be 0.005!

Tip: I always just divide by 100 to get the decimal, it is a nice, easy and quick method

Formula for the area of a quarter circle: A = (pi x r^2) / 4

A = (pi x 2^2) / 4

A = (pi x 4) / 4

A = 4pi / 4

A = 1pi = 3.14 square miles

Hope this helps! :)

Answer:

150 miles

Step-by-step explanation:

8/2 = 4

4x37.5 = 150

Answer:

1st option.

[tex]\sum_{k=1}^{6} \frac{1}{2k-1}[/tex]

Step-by-step explanation:

The given sequence is as follows:

[tex]1 + \dfrac{1}{3}+ \dfrac{1}{5}+ \dfrac{1}{7}+ \dfrac{1}{9}+ \dfrac{1}{11}[/tex]

Here, we can see that the denominator is in AP and the sequence is:

1, 3, 7, 9, 11

first term, a  = 1

Common difference, d = 2

We know that nth term for an AP:

[tex]a_n = a+(n-1)d[/tex]

where a is the first term and

d is the common difference.

So, nth term for above AP:

[tex]a_n = 1+(n-1)\times 2\\\Rightarrow 2n-1[/tex]

Here, we have 'k' in place of 'n':

[tex]a_k = 2k-1[/tex]

And as per the given sequence in the question, the kth term is simply the reciprocal:

i.e. [tex]\dfrac{1}{2k-1}[/tex]

and sum is to be done up to k = 6 from k = 1.

Hence, the summation notation for the sequence

[tex]1 + \dfrac{1}{3}+ \dfrac{1}{5}+ \dfrac{1}{7}+ \dfrac{1}{9}+ \dfrac{1}{11}[/tex]

is:

[tex]\sum_{k=1}^{6} \frac{1}{2k-1}[/tex]

Answer:

C.

Step-by-step explanation:

By analyzing the functions f(x) and g(x), we can see that they are both quadratic relations.

To find the minimum value, we want to find the y-coordinate of the vertex.

In f(x), by using the formula (-b/2a), we get the x-coordinate of the vertex, 70. When we substitute 70 into the function, we get 55 as our minimum.

In h(x), we can see that the lowest y-coordinate in the given points is 899.52. So (1, 899.50) is our vertex.

This means that in f(x), the minimum production cost is $70. In contrast, in h(x), the minimum production cost is $899.50. Therefore f(x) has a lower minimum, with its minimum value at (70, 55), our vertex.

Answer:

The Answer is C. f(x) at (70, 55)

Hope This Helps!

Answer:

b

Step-by-step explanation:

3 + 4x < 2(1 + 2x)

3 + 4x < 2 + 4x

Answer: the second answer

Step-by-step explanation:

If we want to find an inequality with no solution, that means we can expect no x and an unbalanced inequality (e.g., 3<0 which is untrue).

The second one is like that because the inequality is

3+4x[tex]\leq[/tex]2(1+2x)

If we solve it out, we get

3+4x[tex]\leq[/tex]2+4x

When you remove the variable from both sides, you now have

3[tex]\leq[/tex]2

This statement is false, since 2 will never be greater than 3.

If we look at the others, we can see that there are answers for all of them.

Answer:

x=1

y=5

Step-by-step explanation:

Found the answer online at math      way

no work and don't report me or delete my answer!!!

I belive your answer should be letter B

Answer:

c

Step-by-step explanation:

the correct choice is c

Answer: x = 6, y = 4

Step-by-step explanation:

Given the following :

In parallelogram DEFG:

DH = x + 2, HF = 2y, GH = 4x – 3, and HE = 5y + 1

According to the diagram,

The diagonals of the parallelogram buscect each other

The diagonal GE:

GH = HE

4x - 3 = 5y + 1 - - - - (1)

The Diagonal DF:

DH = HF

x + 2 = 2y

x = 2y - 2 - - - - - (2)

Replace x = 2y - 2 in equation (1)

4(2y - 2) - 3 = 5y + 1

8y - 8 - 3 = 5y + 1

8y - 5y = 1 + 8 + 3

3y = 12

y = 4

Substityte y = 4 in equation (2)

x = 2(4) - 2

x = 8 - 2

x = 6

x = 6, y = 4

Answer:

x = 21, y = 2

Step-by-step explanation:

4x- 3y = 78....(1)

2x + 3y = 48 ...(2)

Adding eqiautions (1) and (2)

4x- 3y = 78

2x + 3y = 48

-----------------------

6x + 0 = 126....(Here y has been eliminated)

6x = 126

[tex] x= \frac{126}{6}\\\\

\therefore x = 21\\[/tex]

Plugging x = 21 in equation (2) we find:

2 * 21 + 3y = 48

42 + 3y = 48

3y = 48 - 42

3y = 6

[tex] y= \frac{6}{3}\\\\

\therefore y = 2\\[/tex]

Answer:

Label: About 527.9 square centimeters

Aluminum: About 835.7 square centimeters

Step-by-step explanation:

Amount of paper needed for the label:

You can imagine taking off the label and unrolling it, forming a rectangle. The height of this rectangle will be the height of the cylinder, while the length of the rectangle will be the circumference of the cylinder. Therefore, the area of that rectangle will be [tex]2\pi r h= 2 \cdot \pi \cdot 7 \cdot 12\approx 527.9[/tex].

Amount of aluminum needed for the can:

This time, you need to add in the top and bottom of the can as well, which each have area [tex]\pi r^2[/tex]. Together, they have area [tex]2\pi r^2=2\cdot \pi \cdot 7^2\approx 307.9[/tex]. Adding this to the area of the sides, you get a total of about 835.7 square centimeters.

Hope this helps!

Answer:

C) 5 less than z is 33

Step-by-step explanation:

z-5=33

z-5+5=33+5

z=38

38-33=5

Answer:

B

Step-by-step explanation:

A biased sample is a sample that does not accurately represent the population.

The survey asked only girls, but we can assume this school has both boys and girls. Therefore, by only asking girls, it creates a bias, because the boys in the school are not represented.

Therefore, the correct choice is B: biased sample.

Answer:

2.

a. 14 cm

b. 17 cm

c. 6 cm

d. 8 cm

3.

a. 22 cm

b. 36 cm

c. 16 cm

d. 15 cm

4.

a. 10 cm

b. 40 cm

c. 28 cm

Step-by-step explanation:

The Pythagorean Theorem states the sum of two sides length equals the length of the hypotenuse of the triangle.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Correct answers are

<BDE

<EDF

Answer:

it is -1x2

Step-by-step explanation:

by the ex variable u will get it

Answer:

94.2 inches.

Step-by-step explanation:

First, I just want to clarify that [tex]\pi[/tex] is actually spelled pi, not pie, like the pie you eat.

Finding the circumference is pretty easy. It is just the diameter times pi.

So if the diameter is 30 inches, and we use 3.14 for pi, then the circumference of the sign would be 94.2 inches.

Hope this helps!

Answer:

Speed of boat in still water = 28 miles/hr

Speed of current = 4 miles/hr

Step-by-step explanation:

Speed upstream, u = 96/4 = 24 miles/hr

Speed downstream, v = 96/3 = 32 miles/hr

Speed of boat in still water = ½(v+u)

= ½ (24 + 32) = 28 miles/hr

Speed of the current = ½ ( v - u)

= ½ (32 - 24) = 4 miles/hr

Answer:

the volume of sand is [tex]50 ft^{3}[/tex]

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, rectangular prism.

Given data

[tex]Length l= 4 ft Width w= 5ft\\Height h = 3ft[/tex]

if the sandbox is filled with sand of [tex]2\frac{1}{2 } ft[/tex] deep the volume of the sand in the box will be calculated based on the the depth of the sand

converting the depth of sand from mixed fraction to proper fraction we have [tex]2\frac{1}{2} = \frac{5}{2}[/tex]

the expression for the volume of a rectangular prism is

[tex]volume of sand = length * width* height[/tex]

substituting our data into the expression we have

[tex]volume of sand= 5*4 * \frac{5}{2} \\volume of sand = \frac{100}{2} \\volume of sand = 50 ft^{3}[/tex]

Your answer would be 25%.

Assuming the coin is not biased, the probability of flipping a heads or tails is 1/2 equally. This remains the same no matter how many times you flip the coin, because the outcome of one flip does not affect the outcome of another.

This means that the probability of getting a tails the first flip is 1/2, and the probability of then getting a heads is also 1/2, so to find the probability of both happening you need to multiply these probabilities together, and 1/2 × 1/2 = 1/4, and 1/4 as a percentage is 25%.

I hope this helps! Let me know if you have any questions :)

Answer:

B

Step-by-step explanation:

B. Wendy leaves school to go home. She walks 60 yards north and then 80 yards west. She is 10 yards from the school.

got it right on edge

Answer:

A

Step-by-step explanation:

To determine if (x - 2) is a factor of f(x)

Evaluate f(2) and if equal to zero then (x - 2) is a factor

f(2) = 2³ + 3(2)² - 2 - 18

     = 8 + 12 - 2 - 18

     = 0

(x - 2) is a factor of f(x) because f(2) = 0 → A

The answer to the question "Use the remainder theorem to determine whether x - 2 is a factor of [tex]f(x) = x^3+3x^2-x-18[/tex]" is option A: Yes, x - 2 is a factor of f(x) because f(2) = 0

The given function is:

[tex]f(x) = x^3+3x^2-x-18[/tex]

The function [tex]f(x) = x^3+3x^2-x-18[/tex] is divided by x - 2

x - 2 will be a factor of [tex]f(x) = x^3+3x^2-x-18[/tex] only if f(2) = 0

Substitute x = 2 into [tex]f(x) = x^3+3x^2-x-18[/tex]

[tex]f(2) = 2^3 + 3(2)^2 - 2 - 18\\\\f(2) = 8 + 3(4) - 2 - 18\\\\f(2) = 8 + 12 - 20\\\\f(2) = 20 - 20\\\\f(2) = 0[/tex]

Since f(2) = 0, then we  can conclude that x - 2 is a factor of  [tex]f(x) = x^3+3x^2-x-18[/tex]

Learn more here: https://brainly.com/question/22237647

Answer:

Check the explanation

Step-by-step explanation:

Present predicted

Revenue - per test 10000 8000

Variable cost - per test 7000 7000

Contribution – per test 3000 1000

Net income (10,000 test – 11,500 tests) 30,000,000 11,500,000

Answer:

50.68

Step-by-step explanation:

The higher priced shoes are full price and the lower priced shoes will be 1/2 price

74.99 + 1/2 (68.55)

74.99 + 34.28

109.27

He had 159.95 in credit

159.95-109.27

50.68 in  return

Answer:

ACB=61°, BAC=58°, AEF=65°

Step-by-step explanation:

C = 122°, 180-122=58° ACB= 122°÷2=61°

61°+61°+A=180, hence 58°

65 because of opposite angles, they are equal