The budget for a middle school dance is $750. Food and decorations cost $175. The DJ charges $75 per hour plus a one-time business fee of $125?
What is the maximum number of hours the school can have the DJ play at the dance?

Answer:

8

Step-by-step explanation:

========================================================

Explanation:

Let's convert the mixed number 5 & 1/3 to an improper fraction.

The formula to use is

a & b/c = (a*c + b)/c

So,

a & b/c = (a*c + b)/c

5 & 1/3 = (5*3 + 1)/3

5 & 1/3 = 16/3

Imagine you had 16 pieces of candy, and imagine you wanted to divide that up amongst 3 friends. Each friend would get 15/3 = 5 whole pieces. There would be 1 candy left over. The 5 and 1 help then form the 5 & 1/3. So this is one way to visualize how 5 & 1/3 is the same as 16/3.

Another way to see why this works is to note how 16/3 = 5.333 approximately. The '5' before the decimal point is the whole part of the mixed number 5 & 1/3; the decimal portion 0.333 is the approximate value of the fractional part 1/3.

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

The total length of fencing needed is 16/3 yards. Each section is 2/3 of a yard long. Since both denominators are "thirds", we can ignore them. An equivalent problem is this: "He needs 16 yards of fencing and each section is 2 yards long"

Based on the new problem without fractions involved, we can see that he'll need 16/2 = 8 sections in total.

You should find that dividing (16/3) over (2/3) will lead to 8 as well. You could say this:

(16/3) divide (2/3) = (16/3)*(3/2) = (16*3)/(3*2) = 48/6 = 8

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

An alternative method:

Let's start with 2/3 of a yard. That doubles to 4/3 which is the same as 1 & 1/3. Think of it as 4/3 = (3+1)/3 = 3/3+1/3 = 1+1/3 = 1 & 1/3.

Next, we'll double 1 & 1/3 to land on 2 & 2/3. You simply multiply each '1' by 2 to end up with those '2's shown.

Now we'll double 2 & 2/3 like so:

2*(2 & 2/3) = 2*(2 + 2/3) = 4 + 4/3 = 4 + (1+1/3) = 5 + 1/3 = 5 & 1/3

The act of doubling exactly three times leads to us ultimately multiplying by 2*2*2 = 8, so he needs 8 sections that are each 2/3 of a yard long.

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

Whichever method you prefer, the final answer is 8 sections.

Answer:

A

Step-by-step explanation:

Hope this helps hope you get it right

Answer:

B

Step-by-step explanation:

A square pyramid is one with a square base. The correct option is B.

A square pyramid is one with a square base. It is a right square pyramid with C4v symmetry if the top is perpendicular to the centre of the square. It is an equilateral square pyramid if all edge lengths are equal.

The place at which the up-side down pyramid will intersect with the plane will be a square.

Hence, the correct option is B.

The complete question is:

If a vertical plane cuts through a square pyramid down from the vertex, which of the following best describes the shape of the cross-section?

A. Pentagon

B. Square

C. Rectangle

D. Triangle

Learn more about Square Pyramid:

https://brainly.com/question/15219357

#SPJ2

Answer:

Step-by-step explanation:

No it doesn't. When you get stuck on a question like this one, you should go to Desmos and graph the equation. I've done that for you.

Correctly stated the equation should read f(x) = (x + 2)^2 + 4

As you can see from the graph the vertex is at -2,4. To find the x value of the vertex, create a small equation

x + 2 = 0

x = - 2

That will turn what is inside the brackets into 0. The value for x is always what will turn (x + a) to zero.

Answer:

45km

Step-by-step explanation:

Distance covered in 1min 20sec (80sec) = 1km

Distance covered in 1 min (60sec) = 1km/80sec

Distance covered in 1Hr (3600sec) = (1/80)*3600 = 45km.

Answers:

a. -4/3 or -1 1/3

b. 4/3 or 1 1/3

c. -3

d. 3

Step-by-step explanation:

hope this helps!

Answer:

The answer is D

Step-by-step explanation:

D

Answer:

B is (-2,-4)

Step-by-step explanation:

Answer:

y=1.5x+5

Step-by-step explanation:

Answer:

9/24

Step-by-step explanation:

This is because when we multiply 3/8 with 3 in both numerator and denominator we get,

[tex] \frac{3 \times 3}{8 \times 3} = \frac{9}{24} [/tex]

Hence, 9/24 is required answer.

Answer:

9/24

Step-by-step explanation:

Fraction             Equivalent Fractions

3/8          6/16               9/24

Answer: 3 strawberries

Explanation: 15/5 = 3

3*4=12

15-12=3

Answer:

[tex]x + y = 9 \\ x + 2x = 9 \\ 3x = 9 \\ x = \frac{9}{3} \\ x = 3[/tex]

Answer:

2,7

Step-by-step explanation:

Answer:

(a). 20 ; (b). $10.00 ;

Step-by-step explanation:

(a). 70 - 3x = 80 - 3.50x

- 3x + 3.50x = 80 - 70

0.5x = 10

x = 10 ÷ 0.5

x = 20 ( 30-day periods )

(b). $70.00 - $3.00(20) = $10.00

The number of days will be 20 days. Then the values of the gift cards will be equal and will be $10.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Tavon has a gift card for $80 that loses $3.50 for each 30-day period it is not used. He has another gift card for $70 that loses $3 for each 30 days period it is not used.

Let y be the amount left of gift cards after x days and x be the number of days. Then the equation will be

y = 80 - 3.5x          ...1

y = 70 - 3x             ...2

From equations 1 and 2, we have

80 - 3.5x = 70 - 3x

0.5x = 10

x = 10 / 0.5

x = 20 days

The values of the gift cards will be equal and will be

y = 80 - 3.5(20)

y = 80 - 70

y = $10

The values of the gift cards will be equal and will be $10.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

flour:

20

35

40

liquid:

12

21

24

Step-by-step explanation:

First blank is 12

second blank is 30

3rd blank is 40

Step-by-step explanation:

5 to 3 to get 12 you have to seee how many times you have to multiply 5 by to get 20 in this case it is 4. SO then you multiply 3 by 4 to 12 for liquid. Same steps to get the other answers.

Answer:

x=4

Step-by-step explanation:

14=3x+2

Move all terms that don't contain  x to the right side and solve.

Answer:

The answer should be D) y = 5/3x - 1/3

Step-by-step explanation: The slope is positive ruling out the negative slope answers leaving C and D, however D is the only answer to get the y intercept correct.

Answer:

First, 3x11 equals 33. Then 4x12 equals 48, so the area would be 4/12

Step-by-step explanation:

Answer:

I think it is the second one i am so so so sorry if it wrong

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given 3 side lengths of a triangle.

Let's test if this is right triangle by using Pythagorean theorem:

Yes, the triangle is right

Answer: 52.8 kilometers

Step-by-step explanation:

This week she plans to run 2²/₅ times as much as last week.

If she ran 22 kilometers last week, then multiple 22 by 2²/₅ to find out the number of kilometers to run this week.

First convert the improper fraction to a proper one:

2²/₅ = 12/5

= 12/5 * 22

= 264/5

= 52.8 kilometers

Answer:

1) 270 degrees

2)  pi/4 rad

Step-by-step explanation:

1.) For which value of theta is sine theta = negative 1?

Given

sintheta = -1

theta = arcsin(-1)

theta = -90degrees

Since sin is negative in the third and 4th quadrant

In the third quadrant, theta = 180 + 90 = 270degrees

In the fourth quadrant, theta = 360 - 90 = 270 degrees

Hence the required value of theta is 270degrees

2) Given the radius of the circle to be 1, the y axis value will also be 1 units

Opposite = 1

adjacent = 1

hyp = √1²+1²

hyp = √2

sin theta = opp/hyp

sin theta = 1/√2

theta = arccsin(1/√2)

theta = 45 degrees

Express in radians

45 degrees = pi/4 radians

Hence the required angle in the first quadrant is pi/4 rad

Answer:

3pi/2

Step-by-step explanation:

that is only one that makes sine negative. others make it 0 or positive

Answer:

I believe it would be D, sorry if I didn't get it right!

Step-by-step explanation:

Answer

False

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

u cannot cross multiply when ur adding

Given:

The equation is:

[tex]y=2x-3[/tex]

The x-values in the given table are -1, 1, 3.

To find:

The y-values for the given x-values in the table.

Solution:

We have,

[tex]y=2x-3[/tex]

At x=-1,

[tex]y=2(-1)-3[/tex]

[tex]y=-2-3[/tex]

[tex]y=-5[/tex]

At x=1,

[tex]y=2(1)-3[/tex]

[tex]y=2-3[/tex]

[tex]y=-1[/tex]

At x=3,

[tex]y=2(3)-3[/tex]

[tex]y6-3[/tex]

[tex]y=3[/tex]

Therefore the required table is:

x          y

-1        -5

1         -1

3         3

Answer:

B or 2nd answer.

Answer:

22

Step-by-step explanation:

First I add all of the numbers given and I get 40. Now 40 - 18= 22.

Answer:

22%

Step-by-step explanation: