There are 600 students including the seventh and eighth graders at the party.
This problem uses the concept of percentages to define the conditions that are laid in front of us.
Let the original number of students be S , and the number of seventh graders be = 0.60S
We know that percent is used to convey the mathematical term of a fraction multiplied by 100.
Total students after 20 eighth graders arrive = S + 20
And we have that
Number of seventh graders / total number of students = 58%
.60S / [ S + 20 ] = .58 we multiply both sides by S + 20
0.60S =0 .58 [ S + 20]
.60S = .58S + 11.6 we subtract 0.58S from both the sides
0.02S = 11.6 we divide both the sides by .02
S = 11/6 / 0.02 = 580
So the total number of students = 580 + 20 = 600 .
Hence there are 600 students at the party at that time.
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Answer:
Length of the room is 180 ft
Step-by-step explanation:
We have a rectangular room with dimensions:
width = 70 ft and length "x" (unknown)
Perimeter of a rectangle is 2*w + 2*x and according to problem statement 500 ft of lights will fit exactly in room perimeter then:
2*70 + 2*x = 500
140 + 2*x = 500
2*x = 500 - 140
2*x = 360
x = 360/2
x = 180 ft
I believe that the answer is -18.
Answer: a) 11,238,513 and b) 292,201,338
Step-by-step explanation:
Since we have given that
Number of white balls = 69
Number of white balls drawn = 5
Number of red balls = 26
Number of red balls drawn = 1
According to question, The Powerball jackpot is won by matching all five white balls in any order and the red Powerball.
So, a) Possible different ways of Powerball tickets can be purchased is given by

And
b) Number of possible ways of different winning Poweball tickets are there would be

Hence, a) 11,238,513 and b) 292,201,338
An equation is formed of two equal expressions. The solution is (-9,-2).
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the equation x + 3y = -15 and -3x + 2y = 23,
Step 1- Multiply the equations to make the coefficients match in either the x- or y-variable.
x + 3y = -15
3x + 9y = -45
Step2- After you multiply, add or subtract the two equations.
3x + 9y -3x + 2y = -45 + 23
Step 3- Then solve for the variables that is left.
11y = -22
y = -2
Step4- Substitute the value of y in any one of equations to solve for x.
x + 3(-2) = -15
x - 6 = -15
x = -9
Hence, The solution is (-9,-2).
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