On a school trip the ratio of the number of teachers to the number of students is
1:15
The ratio of the number of male students to the number of female students is 7:5
Work out what percentage of all the people on the trip are female students.
Give your answer correct to the nearest whole number.
(3 marks)

Answers

Answer 1

Answer: 39%

Step-by-step explanation:

Given

The ratio of the number of teachers to the number of students is 1:15.

and the ratio of the number of male and female students is 7:5

Suppose the number of teachers is x. So, students become 15x

For the ratio of male to female, assume male is 7y, so female is 5y

The sum of the male and female students comprises the whole student community

[tex]\therefore 15x=7y+5y\\15x=12y\\5x=4y[/tex]

The percentage of female students on the trip is

[tex]\Rightarrow \dfrac{5y}{x+15x}\times 100\\\\\Rightarrow \dfrac{5y}{16x}\times 100\\\\\Rightarrow \dfrac{5\times \frac{5}{4}x}{16x}\times 100\\\\\Rightarrow \dfrac{625}{16}=39\%[/tex]


Related Questions

Jeremy Earned $33 for four hours of work .how much would he earn for seven hours of work at the same rate

Answers

33/4= $8.25 an hour
8.25 x 7= 57.75

Jeremy would earn $55.75 if he works for seven hours

Please answer! The attachment is here.

Answers

Answer:

I think the answer is (a) triangle as if you slice the traingular prism with perpendicular to the base as if we slice it with cross sectionally

Hope it helps

Select the correct answer from each drop-down menu.
A certain distribution has a mean value of 100 and a standard distribution of 15,
Assuming the values are distributed normally, 95% of values will fall between
and

Answers

Answer:

70, 130

Step-by-step explanation:

Just took the Mastery test on PLATO and this answer was correct.

Plzzzzzzzz helppppp meeeeeeee

Answers

The rectangle has an area of 18x8 = 144 sq in. The circle has an area of (pi)r^2 or (pi)3^2 =28.27sq in. Subtract 144 - 28.27 = 115.73

solve the inequality and explain how

Answers

Answer:

  B.  (see attached)

Step-by-step explanation:

You want the solution and graph of the inequality |x+3| > 2.

Solution

The inequality resolves to two inequalities with different domain definitions:

  |x +3| > 2

When the argument is negative, (x+3) < 0, this is ...

  -(x +3) > 2

  -x -3 > 2 . . . . . . eliminate parentheses

  x +3 < -2 . . . . . . multiply by -1

  x < -5 . . . . . . . . . subtract 3; consistent with the domain definition

When the argument is positive, (x+3) > 0, this is ...

  x +3 > 2

  x > -1 . . . . . . . . subtract 3

  -1 < x . . . . . . . . same thing using the < symbol

These differing solution sets do not overlap, but elements of either set are solutions to the inequality. The appropriate conjunction is "OR":

  solution: x < -5 or -1 < x

The graph is attached.

__

Additional comment

We like to use the < or ≤ symbols when expressing the solution to an inequality. That way, the relation of the variable to the boundary value is the same as its relation on a number line. Solution values are left of -5 or right of -1:

  x < -5  or  -1 < x

It helps provide a check that the graph is properly drawn.

The inequality can be rewritten as ...

  |x -(-3)| > 2

which can be interpreted as saying the positive distance from x to -3 is more than 2. This tells you the graph will have two disjoint branches, and the appropriate conjunction is OR.

If the problem were different, and the inequality were ...

  |x -(-3)| < 2

it would be telling you the solution values have a distance less than 2 from -3. They will be in one continuous band from -5 to -1, so the appropriate conjunction is AND. The solution in this case is usually written as a compound inequality with no conjunction: -5 < x < -1. (Note the use of < symbols puts the variable value in the middle, between the boundary values, as in graph D.)

raph of the function f(x) = (x+2)(x+6) is shown
-4 2
4
2+
N
-2
-6
2
4 6
X
What is true about the domain and range of the function?
O The domain is all real numbers, and the range is all
real numbers greater than or equal to -4.
O The domain is all real numbers greater than or equal
to
-4, and the range is all real numbers.
O The domain is all real numbers such that -6 ≤x≤-2,
and the range is all real numbers greater than or equal
to-4.
O The domain is all real numbers greater than or equal
to
-4, and the range is all real numbers such that -6 sx
≤-2.

Answers

The domain of a function is the set of all input values (x-values) for which the function produces a valid output (y-value). In this case, the function f(x) = (x+2)(x+6) is defined for all real numbers, so the domain is all real numbers.

What do a function example's range and domain mean?

A straightforward function, such as f(x) = x2, can have a domain (what goes in) of just the counting numbers 1, 2, 3, etc., and a range (what comes out) of the set 1, 4, 9, etc. Another function, g(x) = x2, may have an integer domain of..., -3, -2, -1, 0... 1, 2, 3, and its range is..., 1, 4, 9,...

The range of a function is the set of all possible output values (y-values) produced by the function. The function f(x) = (x+2)(x+6) is a polynomial, and all polynomials of the form (ax^2 + bx + c) with real coefficients (a,b,c) have range is all real numbers. The range of the function f(x) = (x+2)(x+6) is also all real numbers.

So the answer is

The domain is all real numbers, and the range is all

real numbers.

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On Thursday, a local hamburger shop sold a combined total of 429 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the
number of hamburgers sold. How many hamburgers were sold on Thursday?
hamburgers

Answers

Let H be the number of hamburgers sold and C be the number of cheeseburgers sold.

The total number of hamburgers and cheeseburgers sold is given by the equation: H + C = 429

The number of cheeseburgers sold is given by the equation: C = 2H

Substituting the second equation into the first equation, we get: H + 2H = 429

Combining like terms, we get: 3H = 429

Dividing both sides by 3, we get: H = 143

On Thursday, 143 hamburgers were sold.

What will be the coefficient of XYZ in the product of 2xy 3zx and Y 2z )?

Answers

The coefficient of XYZ in the product of 2xy 3zx and Y 2z is 0.

The formula for coefficient is C = a*b, where a and b are the coefficients of the terms being multiplied.

In the given example, the coefficients for the terms being multiplied are 2 for 2xy, 3 for 3zx, and 0 for Y 2z. Since 0 multiplied by any number is 0, the coefficient of XYZ in the product is 0.

Mathematically, this can be expressed as:

C = 2*3*0 = 0

Therefore, the coefficient of XYZ in the product of 2xy 3zx and Y 2z is 0.

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How many solutions does 5x 2 7x 4 0 have?

Answers

The given equation gives two solution. We can find solution by using quadratic formula or discriminant.

How do you find the number of solutions?

A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R. So a and b ≠ 0. When we consider a system of linear equations we can find the number of solutions by comparing the coefficients of the variables of the equations.

How do you find how many solutions are in a quadratic equation?

if the discriminant is positive. Then the quadratic equation has two solutions.

if the discriminant is equal. Then the quadratic equation has one solution.

if the discriminant is negative. Then the quadratic equation has no solution.

Here we have

a=5    b=-7   c=4

Disc= [tex]b^2[/tex]-4ac

Disc= [tex](-7)^2[/tex]-4(5)(4)

Disc= 49+80

      =129

Disc >0    it has two solutions.

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Complete question is: How many solutions are there for 5x^2+7x-4=0?

a) 0

b) 1

c) 2

d) 3

Find the Vertex when x=-2

options:
(-2,-10)
(-2,6)
(-2,-6)
(-2,-34)

Answers

(-2, -10) just plug it in and you’ll get your vertex when you already know -2

Answer:

(--2, 6)

Step-by-step explanation:

Plugging -2 into the equation, you get -2(-2)^2-4(-2)-10 which is 6. This makes the coordinate (-2,6)

Fwam went shopping for a new phone. Sales tax where he lives is 9%. The price of the phone is $33. Find the total price including tax. Round to the nearest cent.

Answers

Answer:

$35.97

Step-by-step explanation:

33 × .09 = 2.97

33 + 2.97 = $ 35.97


5-Which of the equłtions represents the circle below?
A) x2 + y² = 12
B) x2 + y2 = 36
o +vy=v12
D) Vx+vy=v6

Answers

Answer:

The equator the circle is;

x^2 + y^2 = 36

Step-by-step explanation:

The general equation of a circle is ;

(x-a)^2 + (y-b)^2 = r^2

(a,b) is the center of the circle which is the origin here

The radius is half the distance from edge to edge, passing through the center either in the vertical or horizontal direction

From the center to the edge of the positive x axis bounding the circle, we have 6 units

This would be the same for the left too

So, the diameter of the circle would be 6 + 6 = 12 units

The radius of the circle is half of this which would be 12/2 = 6 units

thus, we have the equation of the circle as;

(x-0)^2 + (y-0)^2 = 6^2

x^2 + y^2 = 36

Simplifying algebraic expressions

Answers

The simplified form of the algebraic expression [tex]2c-7c[/tex] is [tex]-15[/tex]

The given algebraic expression is [tex]2c-7c[/tex] and we need to use [tex]c=3[/tex]

Let's substitute the value of [tex]c[/tex] in the given algebraic expression, that is

                      [tex]=2(3)-7(3)\\=6-21\\=-15[/tex]

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Answer:

-15

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

Given expression

2c - 7c

Simplify it:

2c - 7c = (2 - 7)c = - 5c

Find its value by plugging in the value of c:

- 5c = - 5*3 = - 15

In the figure given alongside: O is the centre of circle. If
To
OP AB, write the relation between AP and AB.
plz help​

Answers

Answer:

[tex]AP = \frac{1}{2} AB \\ AB = 2AP[/tex]

Help me pleaseeeeeeeee

Answers

71

Step-by-step explanation:

that it is not 0 because i am a teacher mrs.brainly so there is the thing

Which point is in Quadrant III?

Answers

Answer:

B

Step-by-step explanation:

B is in Quadrant III.

B is the answer.

The point is Quadrant 3 is (-2,-3)

What is the volume of the cone in the diagram?

Answers

Answer:










Step-by-step explanation:I need to see the picture

Answer:

A

Step-by-step explanation:

just did it on edmentum .

f(x)=3^√x-1
Find f(27) and f(-343)

need to find cube root

Answers

On solving the provided question, we can say that - the value of the cube root is 19683 =  27

what is cube root?

In mathematics, y3 = x since the cube root of a number x equals a number y. Each non-zero real integer has precisely one real cube root, one set of complex conjugate cube roots, and three different complex cube roots. When a number is multiplied three times, the result is the cube root of that number. Three cube roots, the final cube root, is the symbol for the cube root. The opposite of cubing an integer is finding the cube root of that number. Prime factorization is a fairly straightforward technique that may be used to get a number's cube root. The sign stands for a cube root.

here,

we have f(27)

cube will be [tex]( 27 )^3[/tex] = 19683

and f(-343) = -7

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9. A triangle with a height of 12 inches has an area of 36 square inches. How long is the base of the triangle?







If anyone knows this please tell me this is due tommorow!​

Answers

Area = 1/2(base)(height)

36 = 1/2(base)(12)
36 = 6(base)
6 = base

The base is 6 inches long.

Answer:

Step-by-step explanation

The triangle base would be 6

simplify when x=4 3x^3+3

Answers

Answer:

The value is 195 When x = 4 in 3x³ + 3.

Step-by-step explanation:

3x³ + 3

Insert 4 for x.

3(4)³ + 3

Cube the 4.

3(64) + 3

Multiply 3 by 64.

192 + 3

Add.

195

Eric got home from work at 8:00 pm. He was traveling for 1 hour and 15 minutes. At what time did he start traveling home from work?

Answers

9:15 i think that’s the answer

Answer:

the answer is 6:45pm brain list me

What do 7th graders learn in math?

Answers

In 7th grade math, students learn basic algebra, ratios and proportions, geometry, graphing, probability, equation and statistics.

In 7th grade math, students typically learn basic algebraic principles, including linear equations, variables, and functions. They also learn about ratios, proportions, and percents. Geometry is typically introduced, with topics such as angles, lines, triangles, and circles. Additionally, students may be taught more advanced topics such as graphing, probability, and statistics.In 7th grade math, students learn basic algebra, ratios and proportions, geometry, graphing, probability, and statistics.

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*15 points* will give brainliest

Yazmin is collecting data for her environmental science class. She catalogued all the trees in an acre of the nature preserve. She found 8 oak trees, 4 pecan tree, 2 crepe myrtle trees, and 2 magnolia trees. If the nature preserve covers 280 acres, how many pecan trees are likely to be in the park?​

Answers

Answer:

maybe 70

Step-by-step explanation:

acute ? right ? or obtuse ! Thank youu

Answers

Answer:

obtuse

Step-by-step explanation:

it's obvious if it was acute it would be tiny

In a survey 1500 people , 775 of them like nepal idol , 975 like comedy chapion and 450 people like both the showes how many people didnot like both the show​

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

There will be 800 people who did not like either show.

What is a survey?

To find out how many people did not like either show, we need to subtract the number of people who liked both shows from the total number of people surveyed.

Let A be the number of people who liked Nepal Idol, B be the number of people who liked Comedy Champion, and C be the number of people who liked both shows.

According to the problem, we have:

A = 775

B = 975

C = 450

To find the number of people who did not like either show, we can use the formula:

Total number surveyed - (A + B - C)

Substituting the values given in the problem, we get:

1500 - (775 + 975 - 450) = 800

Therefore, 800 people did not like either show.

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If you are doing a linear regression, what is the slope of the line predicted by the null hypothesis?

Answers

Therefore , the solution of the given problem of slope comes out to be the slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.

Define slope.

The slope-intercept formulation of an equation is used to represent each time the formula of a line is stated as y = mx + b. The line slope is represented by the m. Additionally, b is the b in the y-intercepting point (0, b). For instance, the y-intercept is at (0, 7) and the slope is 3 in

the formula y = 3x - 7.

Here,

The slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.

:  

:  B not equal to 0

The slope is equal to zero according to the null hypothesis, however the slope is not equal to zero according to the alternative hypothesis.

The alternative hypothesis therefore asserts that the slope is not equal to zero, whereas the null hypothesis asserts that the slope is equal to zero.

Therefore , the solution of the given problem of slope comes out to be the slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.

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What is the product of 2x 3y )( 2x 3y )? *?

Answers

The product of (2x-3y)(2x+3y) is 4x^2-9y^2.

the solution of the question is as follows,

Product = (2x-3y)(2x+3y)

Product =2x(2x+3y)-3y(2x+3y)

Product = 2x(2x)+2x(3y)-3y(2x)-3y(3y)

{using distributive property of multiplication}

Product = 4x^2 +6xy - 6xy -9y^2

solving 6xy-6xy=0,

Product = 4x^2 - 9y^2

4x^2-9y^2 is the product of (2x-3y)(2x+3y).

distributive property of multiplication

This property states that  multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. The multiplication of (a - b)(a + b) is equal to a^2 - b^2. This result is used as an identity.

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Find the measures of all of the missing angles. FAST!!!

Answers

Answer:

angle BCD=58 degree

angle ACD=32 degree

angle DAC=58 degree

angle CDB=90 degree

Step-by-step explanation:

Hope it helps you!!

can someone please help me out on this one, thank you!

Answers

Answer: 8 times as long

Step-by-step explanation:

Answer:

I believe it is approx. 8 times longer.

Step-by-step explanation:

2^10 = 1024

2^7 = 128

1024 / 128 = 8

i hope this is right and helps :)

What is the segment partition formula?

Answers

The segment partition formula is used to calculate the coordinates of a point on a line segment, given the coordinates of the two endpoints of the segment and the ratio of the desired point from the first endpoint.

The formula is:

Point = (x1 + r * (x2 - x1), y1 + r * (y2 - y1))

Where x1 and y1 are the coordinates of the first endpoint, x2 and y2 are the coordinates of the second endpoint, and r is the ratio of the desired point from the first endpoint.

The segment partition formula is used to calculate the coordinates of a point on a line segment, given the coordinates of the two endpoints and the ratio of the desired point from the first endpoint. The formula is given in the form of Point = (x1 + r * (x2 - x1), y1 + r * (y2 - y1)).

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