Your school raised 125% of its fundraising goal.The School raised $6750.What was the goal?
Answers
Answer:
When school raised $ 6750 the goal was 5400
Step-by-step explanation:
Let the initial fundraising goal be 100.
as per the given statement your school raised 125% of its fundraising goal.
⇒ school raised =
Equivalent ratios are two ratios that express the same relationship between numbers.
then, By equivalent ratio :
after cross multiply we get;
Divide both sides by 125 we get;
Simplify:
x = 5400
Therefore, the goal was 5400 when the school raised $ 6750
I got this by making this: x/6750=100/125
Then you cross multiply and solve for x
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Which type of lines pass through points (2, 5), (8, 7) and (-3, 1), (-2, -2) on a grid?PERP PARRELL OR NONE?
Answers
Answer:
Step-by-step explanation:
Since the lines are parallel to each other that means they have the same gradient. So use the gradient formula y=mx+c where m is the gradient rearrange 3x-2y=10 using the formula to become -2y=-3x +10
divide both sides by -2 so that m=1.5. It passed through the point (2,2) use the equation of a line formula to find the the answer.
[{y - 2}/{x -2}=1.5
cross multiply to get 1.5x-y=1
hope that helps
Final answer:
The equation of the line parallel to 3x - 2y = 10 and passes through the point (2,2) is y = 1.5x -1 in slope-intercept form, and 3x - 2y = -2 in standard form.
Explanation:
First, we must find the slope of the line parallel to the given line 3x - 2y = 10. The slope of this line, written in the form ax + by = c, is -a/b, so the slope is -3/(-2) = 1.5. The equation of the line we want to find has this same slope. This is because parallel lines have the same slope.
To find our line, we use the point-slope form of an equation y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through. Plugging in given point (2,2) and the slope 1.5, the equation becomes y - 2 = 1.5(x - 2). Simplifying it, we get y - 2 = 1.5x - 3. Adding 2 to both sides gives our line in slope-intercept form: y = 1.5x -1.
To express the equation in standard form, we manipulate the equation to be in the form Ax + By = C. Multiplying the equation by 2 to remove fractions gives us y * 2 = x * 3 - 2, so the line in standard form is 3x - 2y = -2.
Learn more about Line Equations here:
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1,296 = 4/3 * PI * r^3r^3 = (3/4) 1,296 / PI
r^3 =.75 * 1,296 / PIr^3 =309.3972093706radius =6.7635099107 inches
Sphere Surface Area = 4 • π • r²Sphere Surface Area = 4 * PI * 6.7635099107^2
Sphere Surface Area = 574.8494570603square inches
Answers
Given r = 40 mm
A = π(40)^2 = 5026.55 sq. mm
Population density = bacteria count / area
PD = 2,100 / 5026.55
PD = 0.417782 bacteria / mm sq.
Therefore, the answer is approximately 0.418 bacteria per square millimeter.
–32 + _____ = 2(x2 + 10x + 25)
18 = 2(x + 5)2
9 = (x + 5)2
± _____ = x + 5
x = –2 or x = ____
_____=missing pieces
Answers
- 32 = 2(x^2 + 10x)
- 32 + 50 = 2(x^2 + 10x + 25)
18 = 2(x + 5)^2
9 = (x + 5)^2
± sqrt(9) = x + 5
± 3 = x + 5
x = - 2 or x = - 8
The steps used in completing the square of the given quadratic equation have been detailed below.
How to complete the square of quadratic Equations?
The first step given is;
- 32 = 2(x² + 10x)
The next step is to add a square of half the coefficient of x. Which in this case is 50 to both sides.
Second step is;
-32 + 50 = 2(x² + 10x + 25)
Third step is to further simplify the left and favtorize the right to get;
18 = 2(x + 5)²
9 = (x + 5)²
Fourth step is to take square root of both sides to get;
±√9 = x + 5
±3 = x + 5
Thus;
x = - 2 or x = - 8
Read more about completing the square at; brainly.com/question/10449635
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Please stop spamming
Answers
Answer: By Using Quadratic Formula as Possible and Finding the solution of the Quadratic Equations
Step-by-step explanation: Hope this helped!