A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Which quantity is unknown?
A. the total amount paid
B. the number of players
C. the price of a bottle of water
D. the price of an energy bar

Answer:

20

Step-by-step explanation:

Let the number of people be x.

Rs. 1000 is distributed equally among x people, so each person gets 1000/x.

If there were 5 people more, there would be x + 5 people.

Then, each person would get 1000/(x + 5). Each of the x + 5 people would get Rs. 10 less than before.

1000/x - 10 = 1000/(x + 5)

Multiply both sides by the LCD, x(x + 5).

x(x + 5) × 1000/x - x(x + 5) × 10 = x(x + 5) × 1000/(x + 5)

(x + 5) × 1000 - (x² + 5x) × 10 = x × 1000

1000x + 5000 - 10x² - 50x = 1000x

5000 - 10x² - 50x = 0

10x² + 50x - 5000 = 0

x² + 5x - 500 = 0

(x + 25)(x - 20) = 0

x + 25 = 0  or  x - 20 = 0

x = -25 or x = 20

The actual number of people is 20.

Check:

Rs. 1000/20 = Rs. 50

Rs. 1000 divided equally among 20 people gives Rs. 50 per person.

If there are 5 people more, then there are 25 people.

Rs. 1000/25 = Rs. 40

Rs. 1000 divided by 25 people gives Rs. 40 per person which is Rs. 10 less per person.

Our solution is correct.

Answer:

5416.6

Step-by-step explanation:

use a calculator

Answer:  30 degrees

Step-by-step explanation:

The x value is known, which x is equal to 5. To solve the angle of RSP, substitute x = 5.

RSP =  x + 25 = 5 + 25 = 30 degrees

Answer:

Step-by-step explanation:

Given linear equation:

Meaning of each term is:

According to above details the correct answer choise is B

Answer:

b

Step-by-step explanation:

bc i did the schoolnet thingy

Answer:

Option (D)

Step-by-step explanation:

Let the equation of the line be,

y = mx + b

where m = slope of the line

b = y-intercept

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Since, line 'l' is passing through two points (0, 1) and (-1, 0),

Therefore, slope 'm' = [tex]\frac{1-0}{0+1}[/tex] = 1

y-intercept 'b' = 1

Therefore, equation of the line will be,

y = 1(x) + 1

y = x + 1

Option (D). will be the answer.

[tex]r(1) = (2 \: .1 \: . \frac{2}{3} )[/tex]

[tex]r(0) = (0 \: .0 \: .0)[/tex]

[tex] \gamma r =( 2 \: .1 \: . \frac{2}{3} )[/tex]

[tex]l = \sqrt{2 {}^{2} + 1 {}^{2} + \frac{4}{9} } [/tex]

[tex]l = \sqrt{4 + 1 + \frac{4}{9} } [/tex]

[tex]l = \sqrt{ \frac{36 + 9 + 4}{9} } [/tex]

[tex]l = \sqrt{ \frac{49}{9} } = \frac{7}{9} [/tex]

(I'm not sure of my answer tho)

Normally I'd see a plus sign between the x,y and z values of the r(t) equation, so im assuming these represent the x,y,z coordinates in terms of t.

So i calculated ∆r(t) and found the length of the equation using the formula for length

Answer:

25

Step-by-step explanation:

1000≥150+33(s)

1000-150=850

850≥33(s)

850/33=25.(numbers that don't matter because you can't have a decimal of a student)

You can take at most 25 students because you cant have a half a student.

Answer:

36, 38, 40, 42, 44

Step-by-step explanation:

We can denote an even number as 2n (where n is a natural number).

Each consecutive even number will be 2 more than the previous number.

Let 1st number = 2n

⇒ 2nd number = 2n + 2

⇒ 3rd number = 2n + 4

⇒ 4th number = 2n + 6

⇒ 5th number = 2n + 8

Sum of all 5 numbers is 200.  

⇒ 2n + 2n + 2 + 2n + 4 + 2n + 6 + 2n + 8 = 200

⇒ 10n + 20 = 200

⇒ 10n = 180

⇒ n = 18

If n = 18, then 2n = 36

Therefore, the numbers are 36, 38, 40, 42, 44

Answer:

[tex]a^{-51} = \frac1{a^{51}}[/tex]

Step-by-step explanation:

When you're multiplying two powers with the same base (in our case, a) you add together the exponents.

[tex](\frac{a^1^4\cdot a^-^6}{a^{25}})^3 =\\(\frac {a^{14+(-5)}}{a^2^5})^3= (\frac {a^{14-6}}{a^2^5})^3 = (\frac {a^{8}}{a^2^5})^3[/tex]

Now, when you are dividing two powers with the same base (in our case, a again) you subtract the exponents:

[tex]= (a^{8-25})^3 = (a^{-17})^3[/tex]

Finally, when you're calculating the power of a power, you multiply the exponents together:

[tex]a^{-17\cdot 3} = a^{-51} = \frac1{a^{51}}[/tex]

At this point you just have to choose - or check with your book/teacher if you prefer a negative exponent, or a fraction.

Answer:

Ans=80

Step-by-step explanation:

You can see the picture for explanation.....

Have a good day ..!!

.. . Dear

Answer:

There is a 1/10 chance you draw an A and then D    10% chance

Step-by-step explanation:

Probablitiy of drawing a D is 1/5, If the card is not replaced, then there are only 4 cards left. Probability of drawing an A is 2/4 (1/2)

1/5 x 2/4

1 x 2 = 2         2/2 =  1

5 x 4= 20     20/2 = 10

per day : 1500 x 200 = 300,000 texts

per week = 300,000 x 7 = 2,100,000 = 2,1 x 10⁶ texts

The polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).

Area of trapezoid = 1/2(a + b)h, where a and b are length of the parallel sides, and h is the height.

Given:

a = 3x + 5

b = x - 2

h = 2x - 5

Thus:

Area of trapezoid = 1/2(3x + 5 + x - 2)(2x - 5)

Area of trapezoid = 1/2(4x + 3)(2x - 5)

Area of trapezoid = 1/2(8x² - 14x - 15)

Therefore, the polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).

Learn more about area of trapezoid on:

https://brainly.com/question/1463152

» The diameter of a circle is 11 in. What is the circle's circumference?

— — — — — — — — — —

To find the circumference, use pi (π), a mathematical constant. Its value is approximately equal to 3.14.

— Multiply the diameter with π in order to get the circumference of a Circle.

Therefore, the circumference of the circle is 34.54 inches.

_______________∞_______________

Answer:

[tex]\displaystyle 34,557519189...\:in.[/tex]

Step-by-step explanation:

Split the diametre in half before proceeding:

[tex]\displaystyle \pi{d} = C \\ \\ 11\pi = C \hookrightarrow \boxed{34,557519189... = C}[/tex]

I am joyous to assist you at any time.

Step-by-step explanation:

a=8cm

b=15cm

c=17cm

s=a+b+c/2

 =8+15+17/2

 =40/2

 =20

Using heron's formula,

ar. of triangle= √s(s-a)(s-b)(s-c)

                     =√20(20-8)(20-15)(20-17)

                     =√20×12×5×3

                      =√2×2×5×2×2×3×5×3

                      =2×2×3×5

                      =60cm²

On side 17cm,

Ar. of triangle=1/2×b×h

60=1/2×17×h

∴h=60×2/17

    =7.05 cm

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

44.71

Step-by-step explanation:

add all the sides

for the semicircle you do 2r+pi*r

Answer:

3 2/3

Step-by-step explanation:

Do the multiplications and then convert the denominator to the same number.  Then add the fractions/numbers.

1 5/6 = 11/6

1 5/6 * 2 * 3/4 + 1 5/6 * 1 * 3/4​

(11/6)*(2)*(3/4) + (11/6)*(1)*(3/4)

(11/6)*[(2)*(3/4) + (1)*(3/4)]       [Factor out (11/6) to make it easier to calculate, if you want]

((11/6)*(6/4) + (11/6)*(3/4))

(66/24) + (22/24)                 [The denominators are now both 24, so the numerators may be added]

88/24 = 3 (16/24) or 3 2/3

(11/6)*(2)*(3/4)

(11/6)*(1)*(3/4)

Answer: company A

Step-by-step explanation: i did this on a quiz and got it right

Answer:

40.5 Units

Step-by-step explanation:

The area of a kite is A = (d1d2) / 2, where d1 and d2 are the diagonals of the kite.

Since the kite is inscribed in the square, and the sides of the square are 9 units, the diagonals of the kite are both 9 units.

d1 = 9 units

d2 = 9 units

A = (9units * 9units) / 2

A = 81units² / 2

A = 40.5 units²

Answer: 76.5 I'm assuming the question is asking for the answer of 3(2+100)/4

Step-by-step explanation:

3(2+100) would become 3x102 which is 306 and when you divide it by 4 it becomes 76.5

Answer:

x= 50

Step-by-step explanation:

I forgot what it's called but basically 101+x+29= 180 because it's straight line. So you can just go ahead and add 29 and 101 to get 130 and subtract that from 180 to get 50.

Answer:

option c is the correct one

Answer:

9/100

Step-by-step explanation:

Answer:

1. 120 P

2.tuition fee + 120

Step-by-step explanation:

1. you have to multiply 24 x 5 (24 represents the weeks , while 5 is how much she saved in a week )

2.tuition fee is unknown and the money earned in week is 120 . so the total cost will be the tuition fee plus 120 , in the twenty fourth week .

Answer:

D. 13

Step-by-step explanation: