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Ksenya-84 [330]
3 years ago
9

A children's birthday party at an indoor play center costs $50 to rent the space and $6.25 per child. Gina wants to spend no mor

e than $100 on her son's fourth birthday party. Write an inequality for the number of children who can attend the birthday party, and solve the inequality.
A) 50 + 6.25x 100; x>8
B) 50 + 6.25x 100; x 8
D) 50 + 6.25x 100; x<8
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

Answer:

D

Step-by-step explanation:

100>50 +6.25x, subtract 50 from both sides

50>6.25x, divide both sides by 6.25

8>x or x<8

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Solve the equation 3p (3p - 8) - 8 = 9p ( p - 3 + 4
pentagon [3]

Answer:

p= \frac{-8}{33}

Explanation:

Given:

3p (3p - 8) - 8 = 9p ( p - 3 + 4)

To Find:

Value of p=?

Solution:

Before solving this equation,  we will use the method of BODMAS which states that we first solve the Bracket then Off then Division then Multiplier then addition and at last subtraction.  

Now we will solve the both right and left hand side of the equation  

3p (3p - 8) - 8 = 9p ( p - 3 + 4)

9p^2-24p-8=9p^2+9p

Gruoping the like terms we get,

9p^2-9p^2-24p-9p=8

After solving the both right hand and left hand side of the equation  

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And we get the value of p as  

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3 years ago
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Which graph shows y=2⌊x⌋+1 ?
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Can you please help me on this ive been on this forever
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Answer:

∠d , ∠f

Step-by-step explanation:

triangle ABC is similar to triangle DEF

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Answer:

Option A is correct

The linear relationship displayed by the scatter plot is; y=x+10

Step-by-step explanation:

Scatter plot states that a set of points that represent data.

To determine the best equation for a set of points from the given figure.

In general, you can use these steps as follows:

  • First sketch the line that appears to most closely follow the data.

and also try to have the same number of points above and below the line.

  • You can choose two points on the line and estimate their coordinates.
  • Then, find the equation of the line that passes through the two points

To find the equation of linear relationship that displayed by the scatter plot

Using Slope-intercept form:

For any two points (x_1, y_1) and (x_2, y_2) the equation of line is given by:

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From the figure we choose two points on the line:

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Now, using slope intercept form to find the equation of line;

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Add both sides 19 we get;

y -19 + 19 = x -9 + 19

Simplify:

y = x+10

Therefore, the function which best expresses the linear relationship displayed by the scatter plot is;  y = x +10


8 0
3 years ago
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