MATHEMATICS HIGH SCHOOL

1) A clerk have y dollars, all in $10 bills. What expression repression the number of $10 bills the clerk has?2)A concert ticket costs p dollars for an adult and q dollars for a child.Find an expression that represnts the total cost for 4 adult and 6 children.

3) Two apartment have numbers that are consecutive integers. The sum of the numbers is 59.What are the two apartment numbers ?

Answers

Answer 1

Answer: 1) y:10;
2) 4p+6q;
3) x +( x+ 1) = 59 => 2x = 58 => x = 29 => 29 and 30;

Answer 2

Answer:

1. 10y

2. 4p+6q

3. x+x+1=59

2x=58

x=29

29+1=30

the 2 numbers are 29 and 30

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Find the slope of the line through each pair Of points.1. (1,5) and (2,8)
2. (3,1) and (3,-1)

Answers

In order to find the slope between a set of points you must plug the points into the point slope formula ; ( y2-y1 / x2-x1 )

Once you plug that in you should get the final answers of

1. slope = 3

2. slope = -2/0 which is undefined which means this slope would be part of a vertical line

What are the vertex and x-intercepts of the graph of the function below? y =(x + 4)(x - 2)

Answers

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

The x-intercepts:

0 = x + 4
0 = x - 2

x = -4
x = 2

The vertex:

y = (x + 4)(x - 2)
y = x^2 + 2x - 8
x = -b/2a
If ax^2 + bx + c, then:
a = 1
b = 2
c - 8
x -2/2(1)
x = -1
y = (-1)^2 + 2(-1) - 8
y = -9

The vertex is (-1, -9)
The x-intercepts are -4 and 2

Answer: vertex: (1,-9); intercepts: x=4,-2

Step-by-step explanation:

Just got it wrong on ap3x so I could give y’all the right answer

Set up a proportion to solve for x in the following similar triangles.

Answers

Final answer:

The correct option is d.

To solve for x in similar triangles ABC and PQR, set up the proportion AB/PQ = DC/QR and solve for x.

Explanation:

To set up the proportion to solve for x in similar triangles ABC and PQR, we need to compare the corresponding sides. AB corresponds to PQ, so we can set up the proportion as follows:

AB/PQ = DC/QR

Substituting the given values, the proportion becomes:

18/12 = 24/(x-2)

Simplifying further, we can solve for x by cross multiplying and solving the resulting equation.

Learn more about Similar Triangles here:

brainly.com/question/14926756

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The complete question is given below:

It is given that two triangles are similar, ABC and PQR. AB= 18 units and DC= 24 units. PQ= 12 units and QR= x-2 units. Set up a proportion to solve for x in the following similar triangles.

a. 18/24 = (x-2)/12

b. 18/12 = (x-2)/24

c. 18/12 = 24/(x-2)

d. 18/12 = 24/x - 2

Answer:

Step-by-step explanation:

I took the quiz and it was C! Hope this helps :)

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