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lutik1710 [3]
3 years ago
7

A single ticket to the magic show costs ttt dollars, but there is a discount of 5\%5%5, percent per ticket if a group buys 10101

0 tickets. The expression 10t-10\cdot 0.05t10t−10⋅0.05t10, t, minus, 10, dot, 0, point, 05, t describes the total cost of buying 101010 tickets for a group. Match each amount in the situation with the expression that represents it. Situation Expression

Mathematics
2 answers:
valentina_108 [34]3 years ago
6 0

Answer: 10 t -0.5 t is the total cost of the ticket for the group of 10 people after getting discount.

Where 10 t is the initial cost of ticket without discount and 0.5 t is the total discount.

Step-by-step explanation:

Here, t represents the cost of one ticket.

Therefore, For 10 person the cost of the ticket = 10 t

And, According to the question, there is a discount of 5% percent per ticket if a group buys 10 tickets.

Thus, the discount for the group of ten people = 5% of 10 t = 0.5 t

The the total cost for the group of ten people after getting the discount = 10 t - 0.5 t



Nikolay [14]3 years ago
4 0

the answer is below.....

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Find the intersection points using substitution or elimination for each system of equations:
natka813 [3]

Answer:

Step-by-step explanation:

Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.

Problem 1:

(x²)/4 +y²= 1

y= x+1

*substitute for y*

Now we have a one-variable equation we can solve-

x²/4 + (x+1)² = 1

x²/4 + (x+1)(x+1)= 1

x²/4 + x²+2x+1= 1

*subtract 1 from both sides to set equal to 0*

x²/4 +x^2+2x=0

x²/4 can also be 1/4 * x²

1/4 * x² +1*x² +2x = 0

*combine like terms*

5/4 * x^2+2x+ 0 =0

now, you can use the quadratic equation to solve for x

a= 5/4

b= 2

c=0

the syntax on this will be rough, but I'll do my best...

x= (-b ± √(b²-4ac))/(2a)

x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))

x= (-2 ±√(4-0))/(2.5)

x= (-2±2)/2.5

x will have 2 answers because of ±

x= 0 or x= 1.6

now plug that back into one of the equations and solve.

y= 0+1 = 1

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Hopefully this explanation was enough to help you solve problem 2.

Problem 2:

x² + y² -16y +39= 0

y²- x² -9= 0

6 0
3 years ago
Nidah writes down two different prime numbers.
balu736 [363]

Answer:

2 and 3

Step-by-step explanation:

prime numbers=2,3,4,5,...

taking 2 and 3

2+3=5

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5 0
2 years ago
The ancient Greeks could bisect an angle using only a compass and straightedge.A. TrueB. False
Gala2k [10]

Answer: True.

The ancient Greeks could bisect an angle using only a compass and straightedge.

Step-by-step explanation:

The ancient Greek mathematician <em>Euclid</em> who is known as inventor of geometry.

The Greeks could not do arithmetic. They had only whole numbers. They do not have zero and negative numbers.

Thus, Euclid and the another Greeks had the problem of finding the position of an angle bisector.

This lead to the constructions using compass and straightedge. Therefore, the straightedge has no markings. It is definitely not a graduated-rule.

As a substitute for using arithmetic, Euclid and the Greeks learnt to solve the problems graphically by drawing shapes .

5 0
3 years ago
Read 2 more answers
I need help with this, neither of my parents can help me and i want to understand.
olga2289 [7]

Answer:

See explanation

Step-by-step explanation:

1. To rewrite the expression

(4^{\frac{2}{5}})^{\frac{1}{4}},

use exponents property

(a^m)^n=a^{m\cdot n}

So,

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2. Why 10^{\frac{1}{3}}=\sqrt[3]{10}?

Raise both sides to 10 power:

(10^{\frac{1}{3}})^3=10^{\frac{1}{3}\cdot 3}=10^1=10\\ \\(\sqrt[3]{10})^3=10

So,

(10^{\frac{1}{3}})^3=(\sqrt[3]{10} )^3

3. Simplify \dfrac{3^4}{9}

Use  the Quotient of Powers Property:

\dfrac{a^m}{a^n}=a^{m-n}

Then

\dfrac{3^4}{9}=\dfrac{3^4}{3^2}=3^{4-2}=3^2

4. Solve 4\sqrt{2}+5\sqrt{4}

First, note that \sqrt{4}=2, then

4\sqrt{2}+5\sqrt{4}=4\sqrt{2}+5\cdot 2=4\sqrt{2}+10

Number 4\sqrt{2} is irrational number, number 10 is rational number. The sum of irrational and rational numbers is irrational number.

5. The same as option 4.

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2 years ago
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KengaRu [80]
The correct proportion is 16/36=12/27
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