Ms. Storch is organizing a dance competition. She is charging a flat fee of 1 $18 for each group to enter the competition and an additional $2.75 per person in the group. If your dance group owes $70.25 for the competition, how many dancers participated?​

Answers

Answer 1
70.25-18 is 52.25. Then you just divide by the person charge; 2.75. There are 19 dancers.

Related Questions

Is 2x + 3 + 7x equivalent to the expression 3(3x + 1) ?

Answers

Answer:

Yes

Step-by-step explanation:

3(3x+1) = 9x+3

2x+3+7x = 9x+3

Suppose y varies directly as x, and y=26 when x=8. Find x when y=65.

Answers

Answer:

when y=65, x=20

Step-by-step explanation:

We are given:

y varies directly as x

and y=26, when x=8

We need to find x, when y = 65

y varies directly as x can be written as:

[tex]y\:\alpha \:x\\y=kx[/tex]

Where k is constant of proportionality.

Finding k, when y=26 and x=8

[tex]y=kx\\26=k(8)\\k=\frac{26}{8}\\k=3.25[/tex]

We get the value of k = 3.25

Now, we need to find value of x, when y=65 and k=3.25

[tex]y=kx\\65=3.25(x)\\x=\frac{65}{3.25}\\x=20[/tex]

So, when y=65, x=20

A butcher has 3 1 3 pounds of ground beef that will be priced at $1.35 per pound. He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $ .

Answers

Answer:

$0.56

Step-by-step explanation:

Cost of 3 1/3 pounds of beef at $1.35 per pound

= 3 1/3 × 1.35

= 10/3 × 1.35

= $4.5

He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $

= $4.5 / 8

= $0.5625

Approximately $0.56 to the nearest cent

The perimeter of a rectangle is 70cm. if its length is decreased by 5cm and its width is increased by 5cm, its area will increase by 50 cm^2. Find the length and the width of the original rectangle.

Answers

Answer:

l=25, w=10

Step-by-step explanation:

2(25)+2(10)=70

25*10=250

25-5=20

10+5=15

20*15=300

Answer:

width = 10

lenghth = 25

Step-by-step explanation:

Argyle sells computers. He keeps one
eighth of his sales as a commission.
How much must he sell to earn $500?

Answers

Answer:

Note: I'm assuming that he keeps 1/8 of the money spent for himself.

If this is what the question was asking, then the answer would be:

Argyle must sell $4,000 worth of computers.

Step-by-step explanation:

First, we write an equation.

1/8n = $500

Note: n is the variable I'm using to represent the amount of money Argyle must sell to get $500 as commission.

Then, to get the value of n and to get rid of the fraction, we multiply both sides by 8:

1/8n * 8 = $500 * 8

= n = $4000

Therefore, Argyle must sell $4,000 worth of computers to keep 1/8 ($500) as commission.

A submarine rises to the ocean's surface at 720 feet in 6 minutes. Find the points submarine's change in elevation per minute.

Answers

Answer:

The submarine gains 120 feet of elevation per minute.

Step-by-step explanation:

If f(x) = 2x, which of the following shows the graph of f(x) = 2(x) + 2?

Answers

Answer: the first graph

Step-by-step explanation:

The intersection of the graph of the function with the y-axis gives the y-intercept of that function. The correct option is A.

What is the y-intercept of a function?

The intersection of the graph of the function with the y-axis gives the y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At the y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

Given f(x)=2, therefore, the graph will have a y-intercept as 0.

But when the value of f(x) = 2(x) + 2, then the graph of the function will have the y-intercept at 2.

Hence, the correct option is A.

Learn more about Y-intercept:

https://brainly.com/question/16540065

#SPJ2

Daniel read 1/3 of a book in the morning, and he read some more at night. By the end of the day, he still had 2/5 of the book left to read. How much of the book did Daniel read at night?

Answers

Answer:amount read at night =4/15

Step-by-step explanation:

Step 1

Since we are dealing with fractions,

Let Total amount of book contained  to read = 1 whole

Therefore

Amount read  in the morning +  amount read at night +amount remaining = Total amount of book contained  to read which gves us the equation

1/3 + x + 2/5 = 1

Step 2 --- solving

1/3 + x + 2/5 = 1

1/3 + 2/5 + x= 1

5 + 6 / 15  + x = 1

11/15 + x= 1

x= 1 - 11/15

15/15 - 11/15

x =  amount read at night =4/15

Factor as the product of two binomials

36+12x+x^2

Answers

Answer:(x+6) (x+6)

(x+6)^2

Step-by-step explanation:

36+12x+x^2

x^2 +12x +36

What 2 numbers multiply to 36 and add to 12

6*6 = 36

6+6 =12

(x+6) (x+6)

(x+6)^2

Khan said so:

(6+x) (6-x)

2) translation: 1 unit right and 2 units down

Answers

its pretty much as it says move each point 1 unit to the right and 2 down so
I :-4,-5
T : -4,-3
E : 0,-3

Which number represents the BASE?
42=16
A. 4
B. 2
C. 16

Answers

Answer:

2

Step-by-step explanation:

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

Answers

Answer:

There are two possible solutions for [tex]g(x)[/tex]:

[tex]g(x) = (x+3)^{2}-5[/tex]

[tex]g(x) = x^{2}-3\cdot x +4[/tex]

Step-by-step explanation:

From statement, we understand that [tex]g(x)[/tex] is defined by the following operation:

[tex]g(x) = f(x) +5[/tex] (1)

If we know that [tex]f(x) = (x+3)^{2}-10[/tex], then [tex]g(x)[/tex] is defined by:

[tex]g(x) = (x+3)^{2}-10+5[/tex]

[tex]g(x) = (x+3)^{2}-5[/tex]

[tex]g(x) = x^{2}-3\cdot x + 9 -5[/tex]

[tex]g(x) = x^{2}-3\cdot x +4[/tex]

Answer:

There are two possible solutions

Step-by-step explanation:

Acela Express, the fastest train between Washington D.C and Boston covers a distance of 455 miles in 7 hours. How many miles will the train travel in 4 hours?

Answers

Answer:

260 miles

Step-by-step explanation:

Given that:

Distance covered in 7 hours = 455 miles

Number of miles train will travel in 4 hours

Average travel speed per hour :

Distance traveled / time taken

455 miles / 7 hours

= 65 miles per hour

Number of miles traveled in 4 hours :

Average Speed per hour * time

(65 * 4) = 260 miles

John hit a golf ball from the ground and it followed the projectile h(t)=-16t²+100t+0, where is the time in seconds, and ℎ is the height of the ball. Use the quadratic formula to solve the two roots. These represent the 2 times that the ball is on the ground. At what time does the golf ball land? What is the max height of the golf ball? At what time (t) is the golf ball at the maximum height?

Answers

Answer:

The maximum height of the golf ball h(t) = 156.25m

The maximum height of the golf ball at  t = 3.125 seconds

Step-by-step explanation:

Step(i):-

Given

                 h(t)=-16t²+100t   ...(i)

Differentiating equation (i) with respective to 't'

              [tex]\frac{dh}{dt} = -16(2t) + 100 (1)[/tex]

              -32t + 100 =0

            ⇒ -32 t = -100

           [tex]t = \frac{100}{32} = \frac{25}{8} = 3.125[/tex]  

         t = 3.125 > 0

Step(ii):-

 Given h(t) = -16t²+100t  = 0

t ( -16 t + 100 ) =0

t =0 and  -16t = -100

t =0 and  t = 6.25

Step(iii):-

             h(t) = -16t²+100t ...(i)

put t=0  in equation (i)

           h(0) = 0

put t = 3.125 in equation (i)

h(t) = -16(3.125)²+100(3.125)

         h (t) =  156.25

Put t = 6.25

h(t) = -16(6.25)²+100(6.25)

    = 0

The maximum value h(t) = 156.25 at 3.125

final answer:-

The maximum height of the golf ball h(t) = 156.25m

The maximum height of the golf ball at  t = 3.125 seconds

What is the image point of (−2,5) after a translation left 5 units and up 3 units?

Answers

Answer:

(-7,8)

Step-by-step explanation:

The given point (x,y)=(-2,5)

Assuming that right and up directions are positive, so left and down directions are negative.

So, after a translation left 5 units and up 3 units, the image point = (x-5, y+3)

=(-2-5, 5+3)= (-7,8)

Hence, the image point is (-7,8).

Find the slope of the line through (3, -4) and (5, 4). Be sure to simplify completely.

Answers

Answer: 4

Step-by-step explanation: (3,-4) (5,4)

4-(-4)= 8

5-3= 2

Divide both numerator and denominator by 2

The slope is 4

Solving systems of equation using elimination
1)2x+2y = 8
x – 2y = 4

2)x+y=8
x-y=4

3)2x+2y=4
x-y=4

4)2x+2y=4
x-y=4

5)x+2y=8
x+3y=4


I need the answer for each problem. Please help is due in 30 minutes!

Answers

Answer:

2x+2y = 8

x – 2y = 4

3x=12

x=12/3=4

x=4

2x+2y=8

2(4) + 2y = 8

8+2y = 8

2y=8-8

2y=0

y=0/2=0

2(4)+2(0)=8

8+0=8

x+y=8

x-y=4

2x=12

x=12/2=6

6+y=8

y=8-6=2

6+2=8

2x+2y=4

x-y=4

2x+2y=4

2(x-y=4)

2x+2y=4

2x-2y=8

4x=12

x=12/4=3

2(3)+2y=4

6+2y=4

2y=4-6

2y=-2

y=-2/2=-1

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

6+-2=4

x+2y=8

-(x+3y=4)

x+2y=8

-x-3y=-4

-1y=4

y=4/-1=-4

x+2(-4)=8

x+-8=8

x=8+8=16

if you roll a six sided die ten times, whats P(x>3)

Answers

Answer:

1 Binomcdf (10,1/6,3)

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP

Answers

Answer:

The answer is 21

Step-by-step explanation:

cu = -3( 5, -12)

= -15 + 36

= 21

I need help please and thank you ​

Answers

the answer is c
have a good day

HELLPPP

2. If the temperature is given by the equation y= 5x + 50, how would you describe what is
happening to the temperature?

Answers

Answer:

Step-by-step explanation:

The temperature starts at 50 and increases because the slope is positive.

an equation of a line that passes through the point (15,2) and is perpendicular to the line -10x+8y = 3?

Answers

Answer:

        y = -⁴/₅x + 14

Step-by-step explanation:

Changing to slope-intercept form:

-10x + 8y = 3         {add 10x to both sides}

8y = 10x + 3         {divide both sides by 8}

y = ⁵/₄x + ³/₈

Two lines are perpendicular if the product of their slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

y = ⁵/₄x + ³/₈   ⇒   m₁=⁵/₄

⁵/₄×m₂ = -1        ⇒    m₂ = -⁴/₅

 

The line y=-⁴/₅x+b passes through point (15, 2) so the equation:

2 = -⁴/₅×15 + b must be true

2 = -12 + b

b = 14

Therefore equation in  slope-intercept form:

                                                     y = -⁴/₅x + 14

The scale on a road map indicates that 2 inches = 30 miles. How many inches would represent 120 miles on this road map?

Answers

Answer:

8 inches = 120 miles

Step-by-step explanation:

If 2 inches is equivalent to 30 miles, then divide 120 by 30 then times the answer by two.

120 / 30 = 4

4 x 2 = 8

8 inches = 120 miles

To check;

30 x 4 = 120

8 / 2 = 4

Hope this helps!!!

Answer:

The answer is 8in.

Step-by-step explanation:

Calculated 120/30

Which choices are equivalent to the fraction below? Check all that apply. 16\20​

Answers

16/20 we can divide it by 2 =8/10 or 4/5

Answer:

To write 16.20 as a fraction you have to write 16.20 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. 16.20 = 16.20/1 = 162/10 And finally we have:

Step-by-step explanation:

hope it work for you.

Rena has posters that measure 8 inches wide by 10 inches tall. If she uses a poster maker which creates similar posters, what is the area of the poster if the height of the poster is 35 inches?

Answers

Answer:

B . 980 just trust me

Step-by-step explanation:

You set up proportions

what is the slope of the line y=2x+5?​

Answers

Answer:

The slope is 2

Explanation:

The equation is written in y=mx+b
M would always be the slope and b the y intercept

Hope this helps!!

Answer:

2

Step-by-step explanation:

7 lbs of dog food cost $6.30. What is the unit price? 20 points-

Answers

Answer: 9 cents

Step-by-step explanation: 6.30 divided by 7 is 0.9

The cost for the company to ship the boxes varies indirectly with the number of boxes being shipped. If 25 boxes are shipped at once, the cost will be $10 per box.

Answers

25 times 10 is $250 to ship all 25 boxes hope this is the answer you were looking for srry if not

Given ABCD what is the value of y? ​

Answers

Answer:

x=7

y=5

Step-by-step explanation:

quadrilaterals have 360 degrees, and their opposite angles are equal

15x+5=16x-2

7=x

(plug back in to find angle)

15(7)+5=110

that angle, plus opposite angle, equals 110.

360-220=140

140/2=70

now we know the value of other unsolved angle

70=12y+10

60=12y

5=y

Use a number line to order the numbers from least to greatest.

HELLLPPPP!!!!!

Answers

So the smallest is 8/25 because it’s .32 so put it on 0.32. Then 38% because it u divide 38 by 100, you get .38 so put it between .46 and .4. And the last one is 0.41. You put it next to 0.4
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