Answer:
16 : 25
Step-by-step explanation:
The ratio of girls : boys = 320 : 500
To simplify divide both parts by 10
320 : 500 = 32 : 50 ← now divide both parts by 2
32 : 50 = 16 : 25 ← in simplest form
Final answer:
To calculate the simplified ratio of the number of girls to the number of boys in the school, we divide the numbers 320 (girls) and 500 (boys) by their greatest common divisor, which is 80, resulting in the simplest form of 4:6.25 or 16:25.
Explanation:
The question is asking us to find the ratio of the number of girls to the number of boys in a school, and then to simplify this ratio to its simplest form. There are 320 girls and 500 boys in the school. To find the ratio, we compare the number of girls to the number of boys, which gives us 320 to 500.
To simplify the ratio, we look for the greatest common divisor (GCD) that both numbers share. Both 320 and 500 are divisible by 10 for certain, and further simplification can be found by dividing by the GCD of 80. So, if we divide both numbers by 80, we get 4 to 6.25, which simplifies further to a ratio of 4:6.25 or 16:25 when both sides are multiplied by 4. Therefore, the simplified ratio of the number of girls to the number of boys is 16:25.
plss help me also this how to answer this a quadratic equation there is 4 categories to put some answer standard forms and a set of a b and c help me guys i need an answer before june 30 2019♀️♀️
Answer:
see explanation
Step-by-step explanation:
The standard form of a quadratic equation is
ax² + bx + c = 0 : a ≠ 0
Express the equations in this form and extract the coefficients
1
4 - 2x + 3x² = 0 , that is
3x² - 2x + 4 = 0 ← in standard form
with a = 3, b = - 2 and c = 4
2
x(x + 5) - 2x = 0 ← distribute parenthesis
x² + 5x - 2x = 0
x² + 3x = 0 ← in standard form
with a = 1, b = 3 and c = 0
3
x² - 2x(x - 2) + 5 = 0 ← distribute parenthesis and simplify
x² - 2x² + 4x + 5 = 0
- x² + 4x + 5 = 0 ← in standard form
with a = - 1, b = 4 and c = 5
According to the synthetic division below which of the following statements are true? Check all that apply.
Answer:
A and D
Step-by-step explanation:
The remainder after division is 8, that is the 8 at the end of 2 - 4 8
Given f(x) divided by (x + h)
Then if (x + h) is a factor the remainder = 0
Hence (x + 7) is not a factor since remainder is 8
and f(- h) = remainder
that is f(- 7) = 8 → D
A and D are the correct statements.
How to know which are the following statements are true?We know that when f(x) is divided by (x - h) then f(h) is the remainder.In option A f(-7) is the remainder which gives the value 8.
So, option A is correct.
Here the value x = 7 does not satisfy the function.When we put x = 7 in the function it is coming 99
So, option B and C are wrong.
On putting x = -7 in the function we are getting 8So options D is correct
Again, the value of f(7) is 99.So, (x - 7) when divides the given function, 8 is not the remainder.So, option E is wrong.
Find more about "Division of functions" here:
https://brainly.com/question/25289437
#SPJ2
50.441−6.203=? help asap
Answer:
44.238
Step-by-step explanation:
50.441-6.203=44.238
Match each vocabulary word to its correct definition:
1.
Cubic Polynomial--
A cubic polynomial is a polynomial of degree three.
2.
End behavior--
The end behavior of a function is it's behavior when x tends to infinity in both the directions i.e. when x tends to minus infinity and when x tends to plus infinity.
3.
Irreducible--
A polynomial is said to be irreducible if it can't be reduced i.e. it cannot be factored.
4.
Leading coefficient--
It is the coefficient of the highest degree term existing in the expression.
5.
Leading term--
It is the term with the highest degree.
6.
quartic polynomial-
A quadratic polynomial is a polynomial of degree 4.
7.
Zeros of polynomial--
The zeros of a polynomial are all the possible values of x at which the polynomial expression is equal to zero.
Hernando ate 2/8 of a pizza for a dinner. He gave his 6 friends the rest of the pizza and told them to share it equally
Answer:
umm his friends each got 1/8
Step-by-step explanation:
hernando ate 2/8 meaning 8-2=6= 6/8
6/8 / 6 = 1/8
:D
I guess this what you want
After Hernando ate [tex]\frac{2}{8}[/tex] of the pizza, the remaining pizza when divided equally among his friend leaves each friend with [tex]\frac{1}{8}[/tex] of the pizza
Given: Hernando ate [tex]\frac{2}{8}[/tex] of a pizza, number of friends is 6
First, let's find out what fraction of the pizza is left after Hernando ate his portion. Hernando ate [tex]\frac{2}{8}[/tex], which reduces to [tex]\frac{1}{4}[/tex]. Therefore, the remaining fraction of the pizza is:
[tex]1- \frac{1}{4} =\frac{4-1}{4} = \frac{3}{4}[/tex]
The remaining [tex]\frac{3}{4}[/tex] of the pizza is to be shared equally among his 6 friends. To find out how much pizza each friend gets, we divide the remaining fraction by the number of friends:
[tex]\frac{3}{4}[/tex] ÷ 6 [tex]=\frac{3}{4} \times \frac{1}{6} = \frac{1}{8}[/tex]
Each of Hernando's 6 friends gets [tex]\frac{1}{8}[/tex] of the pizza.
If a graph of y=-3x+ 5 were changed to a graph of y = 2x + 5, how would the
slope change?
A. The slope of the new graph would become less steep.
B. More information is needed to determine the change.
C. The slope would remain the same.
D. The slope of the new graph would become steeper.
Alright (so what I did was type this into desmos and it was the exact same line but it was the other way around so it is) C
Changing from y = -3x + 5 to y = 2x + 5 would make the slope steeper.
The slope of the new graph would become steeper.
When changing from y = -3x + 5 to y = 2x + 5, the original slope of -3 increases to 2, making the new graph steeper.
Therefore, the correct answer is D. The slope of the new graph would become steeper.
If y = 12x-2 were changed to y = 12x, how would the graph of the new
function compare with the original?
O
A. It would be shifted up.
B. It would be steeper.
C. It would be shifted down.
D. It would be less steep.
Answer: A. It would be shifted up.
Step-by-step explanation: the only thing that is changing in the two equations is the last number. The last number is not there in the second equation because the y-intercept is 0. The y-intercept in the first equation is -2 and shifts up 2 to y-intercept if 0. Therefore, your answer would be A. It would shift up.
The graph of the new equation compared with the original graph is the new graph would be shifted up.
Option A is the correct answer.
We have,
If the equation y = 12x - 2 were changed to y = 12x, the graph of the new function would be different from the original.
The original equation y = 12x - 2 represents a linear function with a slope of 12 and a y-intercept of -2.
The graph of this equation would be a straight line that is steep (with a slope of 12) and shifted downward by 2 units (due to the y-intercept of -2).
However, if we change the equation to y = 12x, the new equation represents a linear function with the same slope of 12 but with no y-intercept (it passes through the origin).
The graph of this equation would still be a straight line, but it would be shifted up compared to the original equation since the y-intercept has been removed.
Therefore,
It would be shifted up.
Learn more about the equation of a line here:
https://brainly.com/question/23087740
#SPJ2
Which graph correctly represents the equation y=−4x−3?
GUYS PLEASE HELP ME IAM NOT TRYING TO FAIL SUMMER SCHOOL and will offer 40 points for who ever helps me with the next 3 problems and will give brainlest
The graph at option 4 represents the given equation y = -4x - 3 correctly. This is obtained by calculating the slope and finding the y-intercept.
What is the slope of a line with two points?The slope of a line given by
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
The ratio of the difference between y-coordinates of two points on the line to the difference of their x coordinates.
Calculation:The equation is y = -4x - 3
On comparing the equation with the slope-intercept form y = mx + c,
m = -4 and y-intercept c = -3.
Since the y-intercept is -3, the graphs at options 1 and 2 do not represent this equation. So, the remaining graphs may represent the given equation.
Finding the slope for the points in the other two graphs:The graph at option 3 has a line with two points (2, 5) and (0, -3)
So, the slope is
m = [tex]\frac{-3-5}{0-2}[/tex]
= 4
Thus, it is not the same as the slope of the given equation.
The graph at option 4 has a line with two points (-2, 5) and (0, -3)
So, the slope is
m = [tex]\frac{-3-5}{0+2}[/tex]
= -4
Thus, the line shown in the graph at option 4 has a slope of -4 and the y-intercept is -3. These are the same as the given equation. So, option 4 is correct.
Therefore, the graph at option 4 is the correct representation of the given equation.
Learn more about the graph of an equation in a slope-intercept form here:
https://brainly.com/question/19440459
#SPJ2
f(x) = x + 2 g(x) = x – 4
(f g)(x) =
Answer:
x^2 -2x-8
Step-by-step explanation:
f(x) = x + 2
g(x) = x – 4
(f*g) (x) = (x+2) (x-4)
FOIL
first x*x = x^2
outer -4*x = -4x
inner 2*x = 2x
last = -4*2 = -8
Add them together
x^2 -4x+2x -8
x^2 -2x-8
Answer:
C on ed
Step-by-step explanation:
in 2015 han was paid £1350 per month what was his average pay per hour in 2016
His average pay was:
Answer:
£1350
----------- = £8.44/hr based upon 160 work hours per week
160 hr
Step-by-step explanation:
We must assume that Han works a standard 40-hour week, and that there are 4 weeks in each month. That comes to 160 hours.
Then his average hourly pay rate was
£1350
--------- = £8.44
160 hr
Evaluate the expression below for
x= -4
6(x + 15)
Answer:
66
Step-by-step explanation:
We know x = -4. To solve, we just need to plug in -4 for x.
6 (-4 + 15) =
6 (11) =
66
Answer:
66
Step-by-step explanation:
x= -4
6(x + 15)
Substitute x =-4 into the second equation
6(-4+15)
6(11)
66
Complete the missing parts of the table for the following function
Answer:
At x=-2, y=16
At x=0, y=1
At x=3, y=1/64
Step-by-step explanation:
As we know that the function is given by:
[tex]y=(\frac{1}{4})^{x}[/tex]
The table represents the output values on given inputs.
So, when the input is -2:
[tex]y=(\frac{1}{4} )^{-2}\\y= \frac{(1)^{-2}}{(4)^{-2}}[/tex]
To convert the power in positive:
[tex]y=\frac{(4)^{2}}{(1)^{2} }\\y=16[/tex]
So the output for x=-2 is 16.
For x=0
[tex]y=(\frac{1}{4})^{0}[/tex]
Anything whose exponent is zero equals to 1, so y=1
For x=3, output is incomplete.
To complete,
[tex]y=(\frac{1}{4})^{3}\\y=\frac{(1)^{2} }{(4)^{2} }\\y=\frac{1}{64}[/tex] ..
What’s the total power in a circuit with a current of 4A and a resistance of 12 ohm?
Power = Current *Voltage
You already have the current, but not the voltage.
But you are given resistance, and you know that
Voltage=Current*Resistance
Therefore
V=I*R=4*12=48V
So you have 48V
Now you can figure out the Power
P=I*V=4*48=192W
Therefore you have 192W.
hope this helps
The total power in a circuit is 192W.
PowerPower exists at the time rate of excess or absorbing energy. The power delivered or absorbed by an element exists as the product of the current flowing through the component and the voltage across the element. Power exists estimated in watts. If the power exists positive then it exists absorbed by the component and if it exists negative then it is supplied by the element.
Power = Current [tex]*[/tex] Voltage
We have the current, but not the voltage.
But you are given resistance, and you know that
Voltage = Current [tex]*[/tex] Resistance
Therefore,
[tex]V=I*R=4*12=48V[/tex]
So you have 48V
Thus, we get the Power
[tex]P=I*V=4*48=192W[/tex]
Therefore, the total power in a circuit is 192W.
To learn more about power
https://brainly.com/question/20910042
#SPJ2
Which of the following is a trinomial?
O c2 + C + 6
o c2 - 16
0-80
O c3 + 402 – 120 + 7
What percent is equivalent to 1/25?
4%
5%
20%
25%
Perform the computation and write the result in scientific notation:
5.27 x 10 exponent 5 power
________________
8.7 x 10 exponent -5 power
Express your answer rounded correctly to the proper number of significant figures.
Answer:
6.06 x [tex]10^{9}[/tex]
Step-by-step explanation:
(5.25 x [tex]10^{5}[/tex] ) / (8.7 x [tex]10^{-5}[/tex] )
= (5.25 x [tex]10^{5}[/tex] ) x( [tex]10^{5}[/tex] )/ (8.7 )
= (5.25 x [tex]10^{5 + 5}[/tex] )/ (8.7 )
= 0.606 x [tex]10^{10}[/tex]
= 6.06 x [tex]10^{9}[/tex]
What is 3^2/3 equal to?
Answer:
A
Step-by-step explanation:
ABC to CAB, use that method to help you. You can research more on it.
-9x -5+6=19 simplify
Answer:
[tex]{\huge \boxed{x=-2}[/tex]
Step-by-step explanation:
First you do is add and subtracting numbers from left to right.
-5+6=1
-9x+1=19
Then subtract by 1 from both sides of equation.
-9x+1-1=19-1
Simplify.
-9x=18
Divide by -9 from both sides of equation.
-9x/-9=18/-9
Simplify, to find the answer.
18÷-9=-2
x=-2 is the correct answer.
I hope this helps you, and have a wonderful day!
Answer:
x=-2
Step-by-step explanation:
-9x -5+6=19
Combine like terms
-9x +1 = 19
Subtract 1 from each side
-9x +1-1 = 19-1
-9x = 18
Divide by -9
-9x/-9 = 18/-9
x = -2
Solve -2(4y + 6) = 52. 5 -5 8 -8
please help and hurry!!!!!!!!!!!
(3,0),(-11,-15) slope
Slope formula: y2-y1/x2-x1
Plug in: -15-0/-11-3 = -15/-14 = 15/14 = slope
For this case we have by definition, the slope of a line can be found by the following formula:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
Two points are needed through which the line passes.
According to the data we have:
[tex](x_ {1}, y_ {1}) :( 3,0)\\(x_ {2}, y_ {2}): (- 11, -15)[/tex]
Substituting we have:
[tex]m = \frac {-15-0} {- 11-3} = \frac {-15} {- 14} = \frac {15} {14}[/tex]
ANswer:
The slope is [tex]\frac {15} {14}[/tex]
Ryan throws a tennis ball straight up into the air. The ball reaches its maximum height at 2 seconds. The approximate height of the ball x seconds after being thrown is shown in the table.

Which equation models the motion of the ball?
y = –17(x)(x – 4)
y = –16(x)(x – 4)
y = –16(x – 2)2 + 68
y = –17(x – 2)2 + 68
y = –16(x – 2)² + 68 is the equation which models the motion of the ball.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Ryan throws a tennis ball straight up into the air.
The ball reaches its maximum height at 2 seconds.
The approximate height of the ball x seconds after being thrown is shown in the table.
We need to find the equation of the motion of the ball.
Let us take a point (0, 4) from the table.
The right equation is the point in which the equation satisfies.
y=-17(0)(0-4)
4=0
So y = –17(x)(x – 4) is false.
y = –16(x – 2)² + 68
4=-16(4)+68
The point (0, 4 ) satisfies the equation y = –16(x – 2)² + 68
Hence, y = –16(x – 2)² + 68 is the equation which models the motion of the ball.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ7
What is the common ratio of the sequence?
-2,6,-18,54
ANSWER
The common ratio is -3.
EXPLANATION
In general, the common ratio of a Geometric Sequence is given by:
[tex] r = \frac{a_{n+1}}{a_{n}} [/tex]
We can find the common ratio using any two consecutive terms of the geometric sequence by dividing the subsequent term by the previous term.
The given sequence is -2,6,-18,54
Using the first two terms the common ratio is
[tex]r = \frac{6}{ - 2} = - 3[/tex]
We could also used the second and third terms to get
[tex]r = \frac{ - 18}{6} = - 3[/tex]
and so on and so forth.
Therefore the common ratio is -3.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Marissa is researching information about martial arts students. She found that 7 out of 12 martial artists practice every day. There are 144 martial arts students at a school.
a. Predict how many students practice every day.
b. What is the sample size?
Answer: 84
Step-by-step explanation:
Set up a proportion as follows: [tex]\dfrac{\text{students that practice everyday}}{\text{total students}}[/tex]
[tex]\dfrac{7}{12}=\dfrac{x}{144}[/tex]
Cross multiply: 12x = 7 × 144
Divide by 12: x = 7 × 12
Simplify: x = 84
(05.05)On the coordinate plane below, what is the length of AB.
7 units
8 units
15 units
16 units
Each line on the graph is one unit.
AB = 15 units long
Answer:
15 units
Step-by-step explanation:
Since A and B are along the same horizontal line, we count count the number of units to determine the distance
The horizontal distance from A to B is 15 units
Graph the function y = x3 + 3x2 – x – 3. Which lists all of the turning points of the graph?
Answer:
(-1, 0)
Step-by-step explanation:
Jim, please use the symbol " ^ " to indicate exponentiation:
y = x^3 + 3x^2 – x – 3. Thanks.
A "turning point" is a point on the graph of a function at which the derivative changes sign (e. g., from positive to negative or vice versa). To identify turning points, we differentiate the given function twice, set the second derivative equal to zero and identify the x-values at which the sign of the derivative changes.
Given y = x^3 + 3x^2 – x – 3,
dy/dx = 3x^2 + 6x - 1
d²y
------ = 6x + 6 and this is zero at x = -1.
dx²
We can easily show that the 2nd derivative changes sign at x = -1.
Thus, the only turning point here is (-1, [-1]³ + 3[-1]² - [-1] - 3), or (-1, 0).
Answer: (-2,3) and (0,-3)
Step-by-step explanation:
Which equation represents a line that passes through (4,1/3 ) and has a slope of 3/4?
y – = (x – 4)
y – = (x – 4)
y – = 4(x – 3/4)
y – 4 = (x – 1/3)
Answer:
y - 1/3 = 3/4(x - 4)
Step-by-step explanation:
We know that the general equation of a line is the following:
y - yo = m(x-xo), where 'm' represents the slope of the line, and (xo, yo) is any point that belongs to the line.
Then, the equation of the line that passes through (4, 1/3) and has a slope of 3/4 is: y - 1/3 = 3/4(x - 4)
For this case we have that by definition, the slope-intersection equation of a line is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cut point with the y axis.
They tell us as data that:
[tex]m = \frac {3} {4}[/tex]
Now the equation is:
[tex]y = \frac {3} {4} x + b[/tex]
We substitute the point to find "b":
[tex](4, \frac {1} {3})[/tex]
[tex]\frac {1} {3} = \frac {3} {4} (4) + b[/tex]
[tex]b = \frac {1} {3} -3\\b = - \frac {8} {3}[/tex]
Finally the equation is:
[tex]y = \frac {3} {4}x - \frac {8} {3}[/tex]
In point-slope form the equation is:
[tex]y- \frac {1} {3} = \frac {3} {4} (x-4)[/tex]
Answer:
[tex]y = \frac {3} {4}x - \frac {8} {3}[/tex]
A radius of the base cone is 3cm and altitude is 9cm calculate the volume.
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=\stackrel{altitude}{height}\\ \cline{1-1} r=3\\ h=9 \end{cases}\implies V=\cfrac{\pi (3)^2(9)}{3}\implies V=27\pi \implies V\approx 84.8[/tex]
Can someone help me plz
Answer:
- (- 10)
Step-by-step explanation:
Point A is positioned at - 10 on the number line.
The opposite is the negative of the value
That is the opposite of - 10 is - (- 10)
What is the area of the rhombus shown below?
EG = 20
FD = 15
To find the area of a rhombus, multiply the two diagonals together then divide by 2.
Area = 20 *15 = 300 / 2 = 150 sq. units.
Need help fast as soon as possible!!!
Answer:C 13/2
Step-by-step explanation: you do 13 x 0.5 equals 6.5, convert to a fratcion equals 13/2
Answer:
[tex]\frac{13}{2}[/tex]
Step-by-step explanation:
When you have a whole number, you gotta add a denominator, so just add 1 underneath:
[tex]\frac{13}{1}[/tex]
Then you have
[tex]\frac{13}{1}[/tex] ×[tex]\frac{1}{2}[/tex]
Multiply straight across and you get
[tex]\frac{13}{2}[/tex]