3. There were 155 people at the basketball game. Tickets for the
game are $2.50 for students and $4 for adults. If the total money
received for admission was $492.50, how many students and adults
attended the game?

Answer:

  x = 6

Step-by-step explanation:

12(x -2) +3x = 1/3(x +12) +10x

12x -24 +3x = 1/3x +4 +10x . . . . . eliminate parentheses

15x = (10 1/3)x +28 . . . . . . . . . . add 24, collect terms

(4 2/3)x = 28 . . . . . . . . . . . . . subtract 10 1/3

x = (3/14)(28) = 6 . . . . . . . . multiply by 1/(4 2/3) = 3/14

The value x=6 satisfies the equation.

A water sprinkler has a rotational motion in order to reach a broad area

from its stationary location.

The time it takes the sprinkler to reach the far right position is 36 seconds.

Reasons:

The given parameter are;

The angular speed of the water sprinkler, ω = 5° per second

Location where the sprinkler starts = The far left position

Required:

The time it takes the sprinkler to reach the far right position.

Solution;

The angle covered by moving from the far left to the far right, θ = 180°

Time required is given as follows;

[tex]\omega = \mathbf{\dfrac{\theta}{t}}[/tex]

Therefore;

[tex]t = \dfrac{\theta}{\omega}[/tex]

Which gives;

[tex]t = \dfrac{180 ^{\circ}}{5^{\circ}/s} = 36 \, s[/tex]

The time it takes the sprinkler to reach the far right position, t = 36 seconds.

Learn more here:

https://brainly.com/question/14753185

Answer:

it would be 75 + 51

hope this helps

136

Step-by-step explanation:

Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.

Step-by-step explanation:

Answer:

a=7.6

Step-by-step explanation:

Since the perimeter is the length of the circumference, P=2a+2b=2(a+b)

We know b and P and if we do the math we get the answer

Answer:

8:03

Step-by-step explanation:

time=speedxdistance

t=1/15x3

t=3/15hr

t=.2hr

t=12 mins

plus 15 mins to lock up bike, 27 mins

27 mins before 8:30 is 8:03

pls mark branliest

Answer:

C. 128 cm³

Step-by-step explanation:

16(20) = 320

320/2.5 = 128 cm³

Answer:

it is a b and c

Step-by-step explanation:

Answer:

the discount is 50% the previous price

Answer:

U(x)= 3+4

Step-by-step explanation:

I simplified this equation into function notation form, then simplified the 12 and 4 with the common factor of 4.

Hope this helped and have a great day,

Ginny

Answer:

14

Step-by-step explanation:

you could solve this three different ways

1. 4*3 is 12  so add 4 = 16

2. 4 squared because 4*4 = 16

3. draw 4 groups of four to get 16

Answer: 162

Step-by-step explanation:

So you will need to find the Markup. The original cost is $120.

I hope this is the answer you are looking for.

Answer:

262.25 $

Step-by-step explanation:

Answer: f(-9)

Step-by-step explanation:

A function is described in the form of f(x)

Therefore, if this is how a function is stated we have x as the input.

Here, the x is equal to -9

So now:

f(-9) after substitution.

Answer:

0.627

Step-by-step explanation:

I will turn the word form of the number into decimal form backwards to make it easier:

7 is in the thousandths place

2 is in the hundredths place

6 in the tenths place

0 being in the ones place

That being said, the word form of a number can be turned into number, decimal, percent and fraction forms! Any other problems involving forms of numbers, you can come to me :D

Answer:

4,832 yards

Step-by-step explanation:

302x16=

Answer:71

71, 73 and 79

Step-by-step explanation:

A prime number is a number that can only be divided by 1 or itself. Otherwise, it is a composite numbers.

There are three numbers between

70

and

80

that fit this criteria,

71

,

73

, and

79

Answer:

the sum of 4 numbers is 160

Step-by-step explanation:

Let 4 numbers be a, b, c, d

Mean of those 4 numbers is: (a+b+c+d) : 4 = 40

So the sum of 4 numbers is: (a+b+c+d) = 40 x 4 = 160

=> 160 is the sum of 4 numbers

Answer: 4

Step-by-step explanation:

It crosses on the y axis at the point (0,4)

Answer:

4

Step-by-step explanation:

The y-intercept of the line shown is 4.

Hope this helps :)

Answer:

Dina took 12/8 = 3/2 hrs

So, if Masha's speed was x

3/2 x = 12-3

x = 6 mi/hr

Answer:

Step-by-step explanation:

Dina finished in a time of

12 mi / 10 mi/hr = 1.2 hr  

Masha's speed is (12 - 4 mi) / 1.2 hr = 6⅔ mph

Okay, suppose your income is about $100.

You might spend $70 & save $30.

Now, suppose your income remains constant at $100 but your expenses go up to, say, $90. You can see that your savings will reduce or decrease. Now, you'll only have about $10 to save.

=》 So, if your income is constant, then your savings will 'decrease' when your expenses increase.

_______

RainbowSalt2222 ☔

Answer:

4.148148149

Step-by-step explanation:

that's the answer

Step-by-step explanation:

2a-1/3 / b/15

[tex](2 \times \frac{ - 3}{5 } ) \div \frac{ - 6.75}{15} \\ = \frac{ - 6}{5} \times \frac{15}{ - 6.75} \\ = \frac{18}{6.75} [/tex]

Answer:

$84.12

Step-by-step explanation:

78.99 x 0.065 = 5.13

78.99 + 5.13 = 84.12

Answer:

y < 3/4 x

(We don't put another number at the end, if the y-intercept is 0, btw.)

Step-by-step explanation:

We know that the line has a positive slope, because it's going upwards to the right.

(We can use rise/run to determine the exact slope: Just go up 3 units and to the right 4 units, starting from the first point. Now we know the slope is 3/4).

Further more we know that the y-intercept is 0, because that's the point in which the line crosses the y-axis.

We also know that since the line is dotted, the sign will be either < or >.

And the shaded area below indictes that y is lesser than, meaning we use this sign <.

Hope this helps you :)

Answer:

Step-by-step explanation:

30F + 55S = 45(437.5)

30F + 55S = 19687.5

30F = 19687.5 - 55S

F = (19687.5 - 55S) / 30

30((19687.5 - 55S) / 30) + 55S = 19687.5

S = 0 (30%)

F = (19687.5 - 55S) / 30 (55%)

Answer:

Part A: 1 solution

Part B:

3(2x-7)=3

6x-21=3

  +21  +21

6x=24

/6    /6

x=4

X=24

Step-by-step explanation:

First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4

Check the picture below.

[tex]\textit{volume of a pyramid}\\ V = \cfrac{Bh}{3}~~ \begin{cases} B = \stackrel{\textit{area of its base}}{50\times 50}\\ h = \stackrel{\textit{its height}}{60} \end{cases}\qquad \implies V = \cfrac{50\cdot 50\cdot 60}{3}\implies \boxed{V= 50000}[/tex]