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luda_lava [24]
2 years ago
5

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decide

d to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit
Mathematics
2 answers:
qaws [65]2 years ago
5 0

Answer

1800 dollars is needed to profit 1500 dollars. x represents the students and 1800 represents the total amount needed so if each student is charged 5 dollars then 5x=1800 would represent the situation

stealth61 [152]2 years ago
4 0

Answer:

They need to find 360 students in total

Step-by-step explanation:

The total amount for fees comes out to be 300$.

To make a profit of 1500, you have to add 1500$ to 300$, since 300 is the cost of the dance.

After adding this together, you get a cost of 1800$.

Divide this amount by the cost of each ticket, which is $5.

Your result is 360; you need 360 students to cover the cost and have a net profit of 1500$

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Triangle MNO is an equilateral triangle with sides measuring 16 StartRoot 3 EndRoot units. Triangle M N O is an equilateral tria
Lesechka [4]

Answer:

The correct option is second one i.e 24 units.

Therefore the height of the triangle is

NR=24\ units

Step-by-step explanation:

Given:

An equilateral triangle has all sides equal.

ΔMNO is an Equilateral Triangle with sides measuring,

NM = MO = ON =16\sqrt{3}

NR is perpendicular bisector to MO such that

MR=RO=\dfrac{MO}{2}=\dfrac{16\sqrt{3}}{2}=8\sqrt{3} .NR ⊥ Bisector.

To Find:

Height of the triangle = NR = ?

Solution :

Now we have a right angled triangle NRM at ∠R =90°,

So by applying Pythagoras theorem we get

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the values we get

(MN)^{2} = (MR)^{2}+(NR)^{2}\\\\(16\sqrt{3})^{2}=(8\sqrt{3})^{2}+(NR)^{2}\\\\(NR)^{2}=768-192=576\\Square\ rooting\ we\ get\\NR=\sqrt{576}=24\ units

Therefore the height of the triangle is

NR=24\ units

6 0
2 years ago
Read 2 more answers
What are the quotient and remainder when a) 19 is divided by 7? b) −111 is divided by 11? c) 789 is divided by 23? d) 1001 is di
Dennis_Churaev [7]

Answer:

a) quotient = 2,  remainder = 5

b) quotient = -10,  remainder = -1

c) quotient = 34,  remainder = 7

d) quotient = 77,  remainder = 0

e) quotient = 0,  remainder = 0

f) quotient = 0,  remainder = 3

g) quotient = 0,  remainder = -1

h) quotient = 4,  remainder = 0

Step-by-step explanation:

The relationship between the quotient, remainder and divisor is that the product of the quotient and divisor added to the reminder gives the dividend.

Based on this, when

a)19 is divided by 7 = 19/7

= 2\frac{5}{7}

Hence the quotient is 2, the remainder is 5

Applying the same principle, when

b) −111 is divided by 11

= -10\frac{1}{11}

Hence the quotient is -10, the remainder is -1

c) 789 is divided by 23

=34\frac{7}{23}

Hence the quotient is 34, the remainder is 7

d) 1001 is divided by 13

= 77

Hence the quotient = 77, the remainder is 0

e) 0/19 = 0

Hence the quotient is 0, the remainder is 0

f) 3/5

Hence the quotient is 0, the remainder is 3

g) -1/3

Hence the quotient is 0, the remainder is -1

h) 4/1

Hence the quotient is 4, the remainder is 0

3 0
2 years ago
A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 1.5 feet, 30 feet a
Nimfa-mama [501]

Answer:

x₁ > x₂

Step-by-step explanation:

Both actions imply a parable trajectories, since both are projectile shot cases.

Let´s call x₁ maximum distance in the first case

The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.

In the second case, the parable curve is modeled by:

y = x₂*( 0.08 - 0.002x₂)    or  y = 0.08*x₂ - 0.002*x₂²

A second degree equation, solving for x₂ and dismissing the value x₂ = 0

we get:

y = 0       ⇒    x₂*( 0.08 - 0.002x₂) = 0    x₂ = 0

And 0,08 - 0.002*x₂ = 0

- 0.002*x₂ = - 0.08

x₂ = 0.08/0.002

x₂ = 40 f

Then  x₁ > x₂

3 0
2 years ago
Complete the following multiplication exercises.
olga2289 [7]
43x7=301
12x9=108
10x6=60
9x7=63
7x5=35
6x3=18
0x8=8
30x3=90
11x8=88
73x2=219
83x5=415
16x8=128
392x7=2,744
29x4=116
761x9=6,849
4,829x6=28,974
12x7=84
25,500x4=102,000
4 0
2 years ago
Read 2 more answers
Cheese sticks that were previously priced at "10 for $1" are now "2 for $1". Find each percent change.
AysviL [449]

Answer:

The percent decrease in the number of cheese sticks you can buy for $1 is 80%.

Step-by-step explanation:

Given : Cheese sticks that were previously priced at "10 for $1" are now "2 for $1".

To find : The percent decrease in the number of cheese sticks you can buy for $1 ?

Solution :

The formula used to find percent decrease is given by,

\%\text{ change}=\frac{\text{Amount of change}}{\text{Original amount }}\times 100

The price change from 10 to 2,

\%\text{ change}=\frac{10-2}{10}\times 100

\%\text{ change}=\frac{8}{10}\times 100

\%\text{ change}=80\%

The percent decrease in the number of cheese sticks you can buy for $1 is 80%.

7 0
2 years ago
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