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Rudiy27
3 years ago
10

On the first day that tickets to the school play were sold, 100 tickets were sold for $230. Regular tickets cost $3 and student

tickets cost $2. How many of each kind of ticket were sold

Mathematics
2 answers:
algol [13]3 years ago
6 0
30 of the $3 tickets were sold
70 of the $2 tickets were sold.

(3*30) + (2*70) = 230
Elis [28]3 years ago
4 0
This is using the substitution method

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What is the prime factorization of 75,29, and 168
Anna35 [415]

Answer:

Step-by-step explanation:

75 = 5 *5* 3

29 is a prime number = 29*1

168 = 2*2*2*3*7

7 0
3 years ago
What are the solutions of this system of equations?
SpyIntel [72]

Answer:

Option C is correct.

Step-by-step explanation:

y = x^2-x-3     eq(1)

y = -3x + 5      eq(2)

We can solve by substituting the value of y in eq(2) in the eq(1)

-3x+5 = x^2-x-3

x^2-x+3x-3-5=0

x^2+2x-8=0

Now factorizing the above equation

x^2+4x-2x-8=0

x(x+4)-2(x+4)=0

(x-2)(x+4)=0

(x-2)=0 and (x+4)=0

x=2 and x=-4

Now finding the value of y by placing value of x in the above eq(2)

put x =2

y = -3x + 5

y = -3(2) + 5

y = -6+5

y = -1

Now, put x = -4

y = -3x + 5

y = -3(-4) + 5

y = 12+5

y =17

so, when x=2, y =-1 and x=-4 y=17

(2,-1) and (-4,17) is the solution.

So, Option C is correct.

7 0
3 years ago
Read 2 more answers
Geometry Help please?
wariber [46]
Answers:
The coordinates of X are (-24,0)
The scale factor is 8/3.

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

To find the scale factor, you divide the y coordinates of the points Y and V
-8/(-3) = 8/3

Notice how multiplying the y coordinate of point V gets us to the y coordinate of point Y
-3*(8/3) = -24/3 = -8

Do the same for the x coordinate of point U
-9*(8/3) = -72/3 = -24
which is the x coordinate of point X
3 0
3 years ago
Explain the difference between properties of equality and properties of inequality when solving equations and inequalities
algol [13]

Answer: An equality is a statement of equal measure. It stands for an absolute statement, without any leeway. That is, there is only a set number of solutions they can take.

Here is an example: x + 17 = 20

In this case, x can only take one solution because it is an absolute statement. Obviously, these can change, but conceptually, they will contain a set of answers a variable can take.

An equality with degree of n will inevitably have n number of answers a variable can take.

However, there are more solutions x can take for an equality. This is because inequality signs are a broader set of equality signs.

Example: x + 17 > 20

In the previous example, there was only one solution that x can take, namely x = 3. However, if we have an inequality, we're merely finding all sets of values x can take that will keep this statement true. In this case, there are an infinite amount of solutions, provided x is greater than 3.

Properties of inequalities vs equalities

This segment is quite tricky to grasp, because we are so used to the equality. The hardest section is to determine when to change the inequality sign. Whenever we multiply or divide by a negative number, we must flip the sign.

8 0
3 years ago
Read 2 more answers
the metal in a penny is worth about 0.505 cents how many cents is this written as a fraction in simplest form
aivan3 [116]

Hello,

505/1 000 = ( 505 / 5 ) / ( 1 000 / 5 ) = 101/200

Bye :)

5 0
3 years ago
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