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IgorC [24]
3 years ago
9

Last year 762 students voted in the student council election at San Bruno Middle School this year 721 students voted to the near

est tenth what was the percent of change in the number of students that voted
Mathematics
1 answer:
Soloha48 [4]3 years ago
5 0

Answer:

Percent change = 5.4%

Step-by-step explanation:

Given:

Number of students voted last year = 762

Number of students voted this year = 721

Change in the number of students who voted from last year to this year is given by the difference of their number. This gives,

Change in the number of students that voted = 762 - 721 = 41

Now, percentage change in the number of students that voted is given as:

\textrm{Pecent change}=\frac{\textrm{Change in number}}{\textrm{Number last year}}\times 100\\\\\textrm{Pecent change}=\frac{41}{762}\times 100\\\\\textrm{Pecent change}=\frac{4100}{762}=5.38\%\approx 5.4\%

Therefore, the percent change in the number of students that voted is 5.4%.

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4x + 9 = 2x + 15 .. I need help
valkas [14]

Answer:

x = 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

4x + 9 = 2x + 15

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 2x on both sides:                    2x + 9 = 15
  2. Subtract 9 on both sides:                      2x = 6
  3. Divide 2 on both sides:                          x = 3

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    4(3) + 9 = 2(3) + 15
  2. Multiply:                               12 + 9 = 6 + 15
  3. Add:                                     21 = 21

Here we see that 21 does indeed equal 21.

∴ x = 3 is the solution to the equation.

3 0
3 years ago
PLEASE HELPP ASAP ITS DUE IN 10 min AND I AM COMPLETELY STUCKK
likoan [24]

Answer:

40

Step-by-step explanation:

Ratio of cars to total:

32:80

so we can make another ratio with x

x:100

now make them fractions and cross-multiply

32/80 = x/100

32(100) = 80x

80x = 3200

x = 40

8 0
2 years ago
Read 2 more answers
Evaluate the function below for x = 3<br> F(x) = 2x2 - 4x +7
Nezavi [6.7K]
The answer is 7. So you would do
2(3)2=12
4(3)=12
12-12=0
0+7
7
3 0
3 years ago
A rectangle is twice as long as it is wide. Its width is 51⁄2 cm. Find the area of the rectangle.
Zarrin [17]

Step-by-step explanation:

The are of rectangle is 1300.5cm2

4 0
3 years ago
What is the standard form of the equation of the circle x^2 - 4x +y^2 +6y + 4 = 0 ?
dybincka [34]
Answer: (x-2)^2+(y+3)^2 = 9

Side notes
1) This circle has a center of (2,-3)
2) The radius of this circle is 3
3) The graph is shown in the attached image

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

Work Shown:

x^2-4x+y^2+6y+4=0
x^2-4x+y^2+6y+4-4=0-4
x^2-4x+y^2+6y = -4
x^2-4x+4+y^2+6y = -4+4 ... see note 1 below
(x^2-4x+4)+y^2+6y = 0
(x-2)^2+y^2+6y = 0
(x-2)^2+y^2+6y+9 = 0+9 ... see note 2 below
(x-2)^2+(y^2+6y+9) = 9
(x-2)^2+(y+3)^2 = 9

note 1: I'm adding 4 to both sides to complete the square for the x terms. You do this by first taking half of the x (not x^2) coefficient which in this case is -4. So take half of -4 to get -2. Then square this result to get 4

note 2: Like with note 1, I'm completing the square. What's different this time is that this is for the y terms now. The y coefficient is 6. Half of this is 3. Square 3 to get 9. So this is why we add 9 to both sides.

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

So the equation in standard form is (x-2)^2+(y+3)^2 = 9

Note how
(x-2)^2+(y+3)^2 = 9
is equivalent to 
(x-2)^2+(y-(-3))^2 = 3^2

So that second equation listed above is in the form (x-h)^2+(y-k)^2 = r^2
where
h = 2
k = -3
r = 3

making the center to be (h,k) = (2,-3) and the radius to be r = 3

The graph is attached.

5 0
3 years ago
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