At Barlow school, 4/9 of the 873 students are boys.
At Willow school, 2/3 of the 630 students are girls
Which school has a greater of boys and how many?

Answers

Answer 1

Answer:

Barlow School has the greater number of boys by  178.

Answer 2

Answer:

Barlow school by 178

Step-by-step explanation:

→ First let's work out the number of boys at Barlow school

[tex]\frac{4}{9}[/tex]  of  [tex]873[/tex]  [tex]=[/tex]  [tex](873/9)*4[/tex]  [tex]=[/tex]  [tex]388[/tex]

→ There is 388 boys in Barlow school. Now let's work out the number of boys at Willow school. Since we know that  [tex]\frac{2}{3}[/tex]  of the school is girls, it must mean that the remaining part must be boys so the fraction of boys at Willow school is  [tex]\frac{1}{3}[/tex]

[tex]\frac{1}{3}[/tex]  of  [tex]630[/tex]  [tex]=[/tex]   [tex](630/3)*1[/tex]  [tex]=[/tex] 210

→ The question specifies to say which school has a greater number of boys and we can see Barlow school has more boys and the question says by how many so we take away the totals so 388 - 210 = 178


Related Questions

Help me please I need help!!!!

Answers

Answer:

Answer B (proportional)

Step-by-step explanation:

The variable y and x are related by the constant of proportionality "6" in the expression

y = 6 x

Such means that if x adopts whatever value, y is always proportional to that x-value, by the multiplicative factor 6.

y is proportional to x via the proportionality constant (it has to be always a multiplicative constant) "6"

Which expression is equivalent to (StartFraction 4 m n Over m Superscript negative 2 Baseline n Superscript 6 Baseline EndFraction) Superscript negative 2? Assume m not-equals 0, n not-equals 0. StartFraction n Superscript 6 Baseline Over 16 m Superscript 8 Baseline EndFraction StartFraction n Superscript 10 Baseline Over 16 m Superscript 6 Baseline EndFraction StartFraction n Superscript 10 Baseline Over 8 m Superscript 8 Baseline EndFraction StartFraction 4 m cubed Over n Superscript 8 Baseline EndFraction

Answers

Question

Which expression is equivalent to [tex]\frac{4mn}{m^{-2}n^6}[/tex]. Assuming [tex]m \neq 0; n\neq 0[/tex]

Answer:

[tex]\frac{4m^3}{n^5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4mn}{m^{-2}n^6}[/tex]

Required:

Simplify

To simplify this, we start by splitting each individual function

[tex]\frac{4mn}{m^{-2}n^6} = \frac{4m}{m^{-2}} * \frac{n}{n^6}[/tex]

From laws of indices

[tex]\frac{a^x}{a^y} = a^{x-y}[/tex]

SO, the above expression can also be expressed the same way

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1-(-2)} * n^{1-6}[/tex]

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1+2)} * n^{1-6}[/tex]

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * n^{-5}[/tex]

From laws of indices,

[tex]a^{-x} = \frac{1}{a^x}[/tex]

So,

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * \frac{1}{n^5}[/tex]

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = \frac{4m^3}{n^5}[/tex]

Hence, [tex]\frac{4mn}{m^{-2}n^6}[/tex] is equivalent to [tex]\frac{4m^3}{n^5}[/tex]

Answer:

A

Step-by-step explanation:EDGE (not sure if im right let me know)

Which relationship describes angles 1 and 2?

Select each correct answer.


supplementary angles

vertical angles

complementary angles

adjacent angles

Answers

Answer:

Supplementary angles

Adjacent angles

Step-by-step explanation:

They add up to a straight line, which is 180 degrees, therefore they are supplementary.

They also share a side and the corner point, hence adjacent.

Answer: A,D              Supplementary Angles

                                  Adjacent Angles

Step-by-step explanation: K12 3.04 test

What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48

Answers

Answer:

h(x) = 4x+48

Step-by-step explanation:

Given the function f(x) = 1/4x -12. To get the inverse of the function, first we will let y = f(x) to have y = 1/4x - 12.

Then we will make x the subject of the formula as shown:

y = 1/4x - 12

adding 12 to  both sides we have;

y + 12= 1/4x - 12 + 12

y + 12 = 1/4x

Multiplying both sides by 4 we have;

4(y+12) = x

x = 4y + 48

Substituting y for x

y = 4x+48

f^-1(x) = 4x+48

h(x) = 4x+48

Thee final expression will give the inverse of the function

Answer:

h(x) = 4x+48

Step-by-step explanation:

Given the function f(x) = 1/4x -12. To get the inverse of the function, first we will let y = f(x) to have y = 1/4x - 12.

Then we will make x the subject of the formula as shown:

y = 1/4x - 12

adding 12 to  both sides we have;

y + 12= 1/4x - 12 + 12

y + 12 = 1/4x

Multiplying both sides by 4 we have;

4(y+12) = x

x = 4y + 48

Substituting y for x

y = 4x+48

f^-1(x) = 4x+48

h(x) = 4x+48

Thee final expression will give the inverse of the function

Find the distance between the points.

(4,6),(9,6)

Answers

Answer:

5

Step-by-step explanation:

Find the difference between coordinates:

(x²-x1) = (9 - 4) = 5

(y²-y1) = (6 - 6) = 0

Square the results and sum them up:

(5)² + (0)² = 25 + 0 = 25

Now Find the square root

A farmer harvested 21 1/4 fewer bushels of sweet corn this year than the previous year. If the farmer's sweet corn crop is planted across 3 acres, what is the average loss per acre?

Answers

Answer: 85/12 fewer bushels per acre

Step-by-step explanation:

Hi, to answer this question we have to write an expression with the information given and solve it:

We simply have to divide the total loss (21 1/4) by the number of acres (3):

Mathematically speaking:

21 1/4 ÷3 = (21(4) +1)/4 ÷3 = 85/4 ÷ 3= 85/12 fewer bushels per acre

Feel free to ask for more if needed or if you did not understand something  

The average loss per acre is [tex]7\frac{1}{12}[/tex]

The average loss per acre = difference in bushels harvested last year and this year ÷ total number of acres

[tex]21\frac{1}{4}[/tex] ÷ 3

In order to solve this question, the mixed number has to be changed to an improper fraction.

Steps to take :  

1. Multiply the whole number by the denominator ( 4 x 21 = 84)

2. Add the numerator to the answer gotten in the previous step (84 + 1 = 85)

3. divide the number gotten in the previous step by the denominator (85/4)

[tex]\frac{85}{4}[/tex] ÷ 3

= [tex]\frac{85}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{85}{12}[/tex] = [tex]7\frac{1}{12}[/tex]

A similar question has been solved here: https://brainly.com/question/580268?referrer=searchResults

which graph shows the solution to the system of linear inequalities x-4y< 4 y < x+1

Answers

Answer:

Third graph in the image attached

Step-by-step explanation:

Let's rewrite the first inequality:

x - 4y < 4

-4y < 4 - x

4y > x - 4

y > x/4 - 1

We can draw the line y = x/4 - 1, then all values above this line will be solution for this inequality (check first graph in the image attached)

Now, for the second inequality, we have:

y < x+1

We can draw the line y = x + 1, then all values below this line will be solution for this inequality (check second graph in the image attached)

Now, if we combine these solutions, we have the third graph in the image attached.

The crossing point can be found making the value of y from one line equal the value of y from the other line:

[tex]x/4 - 1 = x + 1[/tex]

[tex]x - x/4 = -2[/tex]

[tex]3x/4 = -2[/tex]

[tex]3x = -8[/tex]

[tex]x = -8/3[/tex]

[tex]y = x + 1 = -5/3[/tex]

The crossing point is (-8/3 , -5/3)

Answer:

its c

Step-by-step explanation:

edge

The Expression3(x-9) equivalent to

Answers

Answer:

3x - 27

Step-by-step explanation:

3(x-9)

Distribute

3x * -3*9

3x - 27

Answer:

Brainliest!

Step-by-step explanation:

it is equivialent to 3x-27

just simplify the equatoin

The perimeter of the triangle shown is 40 meters. Write an equation to represent the
perimeter and then solve for the value n.


The sides of the triangle are 11m, (2n+3)m and 16m

Answers

Answer:

15m

Step-by-step explanation:

perimeter=total distance round a figure

40m=11m+16m+2n+3m

40m=30m+2n

50m-30m=2n. 30=2n. (divide both sides by 2 to get). n=15m

When 10b=5 is solved for c, one equation is c=(2b-2)^2

Answers

Answer:

b= 1/2

c = 1

Step-by-step explanation:

10b = 5

You want to leave the variable b on it's own so you divide both sides by 10

10b/10 = 5/10  --> b = 5/10 or 1/2

Since you have the value of b now, plug it in to solve for the value of c

c = (2 (1/2) - 2)^2

  = (1 - 2)^2    Half of 2 is 1, of course

  = (-1)^2  (-1 * -1)

c = 1  (a negative times a negative is a positive

So the value of be is 1/2 and c is 1

Hope this helps!

Explain what a direct line segment is and describe how you would find the coordinates of point P along a directed line segment AB that partitions segment AB so that the ratio of AP to PB is 3:1

Answers

Answer:

  P = (A +3B)/4

Step-by-step explanation:

A "directed" line segment is one that has a "beginning" and an "end". The first letter of the line segment's name is the beginning; the last letter is the end.

Line segment AB begins at point A and ends at point B.

The problem statement tells you what it means to locate point P so the segment is divided in the ratio 3:1.

  AP : PB = 3 : 1

  (P -A) / (B -P) = 3 / 1

  P -A = 3(B -P) . . . . . . . . multiply by (B-P)

  P +3P = A +3B . . . . . . . add A+3P

  P = (A +3B)/4

You can find point P by filling in the coordinate values in the formula just found.

_____

Comment on the general case

If you derive the formula for P dividing the segment in the ratio m : n, you find it is ...

  P = (nA +mB)/(m+n) . . . length ratios are applied in reverse to the end points

What represents the inverse of the function f(x)=4x?

Answers

Answer:

Dear user,

Answer to your query is provided below

The inverse of the function f(x)=4x is y=(x/4)

Step-by-step explanation:

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables: y=4x becomes x=4y.

Now, solve the equation x=4y for y.

y=(x/4)

7. Diana took 2 hours to cycle from town X to town Y. Her average speed was 10 kilometers per
hour.
a) Find the distance between the two towns. (2 marks)
b) If her average speed was increased by 2 kilometers per hour, how much time would she take
for the journey? (2 marks)

Answers

Answer:

a.) 20 kilometers

b.)1.67 hours

Step-by-step explanation:

a.) formula= speed =distance/time

Speed= 10km/hr

Distance=unknown

Time=2hrs

Therefore from formula, distance=speed x time

10 x 2

20 kilometers

b.) If average speed is increased by 2km/hr then

total speed= 2+10=12km/hr

Distance remains constant therefore distance= 20km

Therefore time =distance/speed

20/12

= 1.67 hours

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side BC at point
M.
What is the length of MC?
16 mm
0 24 mm
O 32 mm
O 48 mm

Answers

Answer:

Correct option: First one -> 16 mm

Step-by-step explanation:

The equilateral triangle has its three sides with the same length.

So if the perimeter is 96 mm, we have:

[tex]Perimeter = 3*side[/tex]

[tex]3*side = 96[/tex]

[tex]side = 32 mm[/tex]

The segment MA is the height of the equilateral triangle, and its length can be calculated with the equation:

[tex]height = \frac{side * \sqrt{3}}{2}[/tex]

[tex]height = 16\sqrt{3}[/tex]

Using the Pythagoras' theorem in the triangle ACM, we have:

[tex]side^2 = MC^2 + height^2[/tex]

[tex]1024 = MC^2 + 768[/tex]

[tex]MC^2 = 256[/tex]

[tex]MC = 16\ mm[/tex]

Correct option: First one

Answer:

(A) 16mm

Step-by-step explanation:

If GF = 3.2 ft, which is a possible measure of T5?

1.6 ft

3.0 ft

3.2 ft

4.0 ft

Answers

Complete Question:

In the triangles, TR= GE and SR=FE. If GF= 3.2 ft, which is a possible measure of TS?

Answer:

3.2ft

Step-by-step Explanation:

From the given information of the question, we can draft out the diagram of the triangles being depicted here. See attached picture showing triangles RST and EFG.

Since we are told that TR= GE, and SR = FE, it means both triangles are isosceles triangle a having 2 equal sides, and triangles RST and EFG are similar.

Also, given that the measure of the 3rd side (GF) of triangle EFG is 3.2ft, therefore, TS = 3.2ft

Answer:

c

Step-by-step explanation:

What must be added to each term of the ratio 2:3 so that it may become equal to 4:7

Answers

Step-by-step explanation:

HOPE THE ANSWER IS CORRECT AND USEFUL

a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola

Answers

Answer:

Step-by-step explanation:1/2 of answer is zero

Answer:

y=1/3x^2+4/3 x -2/3

Step-by-step explanation:

y=1/3x^2+4/3 x -2/3

Find median of the data. 14, 18, 16, 122, 22, 19, 12

Answers

Answer:

18

Step-by-step explanation:

The order from least to greatest is 12,14,16,18,19,22,122.

The middle number is 18 because there is 3 numbers next to 18 on the right which is 19,22,122 and 3 numbers on the left which is 12,14,16. A median would be easier to find if there is an odd amount of numbers.  

Please help!
there were 6000 people at a football match
10% of them left 2 minutes before the end of the game to avoid traffic
50% of the rest left as soon as the match ended
a) how many people in total had left the football match when it ended?
b) what percentage of the original crowd was still there?

Answers

10%+50%=60%

60% of 6000=3600

a)3600 people had left the match when it ended

b)6000-3600=2400

40% of the crowd was still there

There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 red?

Answers

Answer:

4/6 chance

One is taken at random, we do not know the colour so we just take away 1 from both colours, this leaves us with 4/6 chance.

What is the slope of the line that contains the points (-23, -16) and (13, -16)?

Answers

Answer:

Use the slope formula to find the slope   . m = 0

Step-by-step explanation:

Ans:

3/2. your welcome

Step-by-step explanation:

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

-2 is the slope

Step-by-step explanation:

Slope (gradient)  = rise/run or (y1 - y2/x1 - x2)

We will take the points so that we have a whole number:

Therefore the two points are:

(10,0) and (30, -40)

Now the gradient;

(y1 - y2/x1 - x2)

0 - -(40) / 10 - 30

40/-20

-2/1

-2

Mark my answers as brainliest if helped thanks!

Solve x - 3 < -1. Graph the solution.

Answers

Answer: x < 2

Explanation: To solve for x in this inequality, our goal is the same as it would be if this were an equation, to get x by itself on one side.

Since 3 is being subtracted from x, we add 3

to both sides of the inequality to get x < 2.

Before we graph, write your answer in set notation.

We can write this as {x: x < 2}.

It's important to understand what this means.

This means that any number less than 2 is a solution to this inequality.

I have graphed the inequality for you below.

Start with an open dot on +2.

We use an open dot because +2 is not included as a solution.

Then draw an arrow going to the left.

2⁄6 + 4⁄8 + 3⁄4 = is what?

Answers

Answer:

2/6+4/8+3/4=19/12

(Decimal: 1.583333)

hope i helped

-lvr

Answer:

1 7/12

Step-by-step explanation:

2/6 + 4/8+3/4

Simplify the fractions

1/3 + 1/2 +3/4

The common denominator is 12

1/3*4/4 + 1/2 *6/6+ 3/4*3/3

4/12 + 6/12 +9/12

19/12

12/12 + 7/12

1 7/12

Expand and simplify
n(6 + n) =

Answers

Answer:

n²+6n

Step-by-step explanation:

n(6 + n) = 6n+n²= n²+6n

What is the equation of the following line? Be sure to scroll down first to see all answer options.

Answers

Answer:

C

Step-by-step explanation:

Since the graph hits 0 at x = 0, your y intercept is 0.

The graph is decreasing which means you have a negative slope.

They gave you a coordinate so use it to find the slope.

[tex]\frac{1-0}{-3-0} = \frac{-1}{3}[/tex]

That's your slope.

C is the correct answer.

y=-1/3x

mark brianliest if my answer suits ur question.

A quadratic function g(x) passes through the points (-8, 33), (2, 1), and (8, 1).

Which statement correctly describes g(x)?

1. The line x = -5 is an axis of symmetry, and the vertex is a minimum because the y-values increase as the graph moves away from that function.

2. The line x = -5 is an axis of symmetry, and the vertex is a maximum because the y-values increase as the graph moves away from that function.

3. The line x = 5 is an axis of symmetry, and the vertex is a minimum because the y-values increase as the graph moves away from that function.

4. The line x = 5 is an axis of symmetry, and the vertex is a maximum because the y-values increase as the graph moves away from that function.

Answers

Answer:

Correct option: 3

Step-by-step explanation:

The points (2,1) and (8,1) have the same y-coordinate, so to find the vertex of the quadratic function (where the axis of symmetry will be located), we just need to find the average of their x-coordinate:

x_vertex = (2 + 8) / 2 = 5

The points (2, 1) and (-8, 33) show that when the graph moves away from the axis of symmetry (from x = 2 to x = -8), the y value increases (from 1 to 33), so the vertex is a minimum.

Correct option: 3

Answer:

3

Step-by-step explanation:

I had this question and got it right on a test

Triangle ABC was translated according to the rule T4.5, –6.2(x, y) to form A’B’C’ as shown. What are the coordinates of point C of the pre-image

Answers

Answer:

(-5.5, 3.2)

Step-by-step explanation:

According to the question, the data provided in the question is as follows

(x,y) = (x + 4.5 , y -6.2)

Now

(x + 4.5 , y -6.2) = (-1,-3)

Therefore

x + 4.5 = -1

So, the x equals to

= -1 - 4.5

= -5.5

Now

y - 6.2 =  -3

So, the y is

= - 3 + 6.2

= 3.2

hence, the coordinates of point C of x and y is (-5.5, 3.2)

Therefore the third option is correct

Answer:

C

Step-by-step explanation:

a plane flies 1640 miles in 4 hours. what is the average speed of the plane?

Answers

The answer to that question would be 410 miles per hour

Answer:

Speed = 410 miles/hour

Step-by-step explanation:

Speed = Distance / Time

Distance = 1640 miles, Time = 4 hours

Speed = 1640/4

Speed = 410 miles/hour



Which shows the fractions in order from greatest to least?

A. 3/6, 4/9, 3/7, 3/10
B. 3/10, 3/7,4/9,3/6
C. 3/6, 4/7,4/9,3/10
D. 3/10, 4/9,3/7,3/6

Answers

Answer:  A

Step-by-step explanation:

3/6= 0.5

4/9= 0.444

3/7= 0.428

3/10= 0.3

0.5 > 0.444....> 0.428 > 0.3

The best and correct answer that shows the fractions in order from greatest to lease is Answer choice A which is 3/6, 4/9, 3/7, 3/10 Because it makes sense
Other Questions
question 2 How did the tank change battle during World War I? What advantages did it provide? In EFG, E \congG, GE = 7 and FG = 15. Find the length of EF. The political cartoon below references the: - Sherman Anti Trust Act- Lend Lease Act- Quota System- Cash & Carry policy Whats the correct answer for this? Match each opinion statement on the left to the fact or reason on the right that substantiates it.This building will probably collapseHe is polite and friendlysoonHe would be a good restaurant host.The walls are tilted, and most of thebolts are rusty or brokenLake Elmo is a great place to visitThere are many restaurants andrecreational activities nearbyYou should wear a hat and coat.It is only thirty degrees outside. Determine the value of z in the figure answers: z = 50 z = 45 z = 10 z = 30 Please help! Correct answer only!In a raffle, one ticket out of 250 will win a $230 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?$__ I'm so sorry but I forgot and some of my notes are at school ( don't mind the yellow/orange high light ) If the figures below are similar, find the scale factor of Figure B to Figure A.48276016B209 A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of inclination of the roof to the nearest degree? Angelina read 30% of her book containing 360 pages. How many pages has she read so far ABC and ACD are both right-angled triangles.Da)Explain why the length of ACis 13 cm.5 cmC5 cmb)Calculate the length of AD.Give your answer correctto 1 decimal place.BA12 cm Explain how each of these inventions helped to develop the country:automobileairplaneradio Which equation can be used to solve for in the following diagram?3.30Choose 1 answer:3x = 30 3.r +30 +90 = 1803x + 30 = 9090 3.2 - 30 An official proclamation from the church that issued guidance or decisions on anissue is known as which of these answers Papal BullPopes ProclamationCatholic CatechismReligious Guide Books Christie and Jergens formed a partnership with capital contributions of $250,000 and $350,000, respectively. Their partnership agreement calls for Christie to receive a $55,000 per year salary. Also, each partner is to receive an interest allowance equal to 10% of a partner's beginning capital investments. The remaining income or loss is to be divided equally. If the net income for the current year is $119,000, then Christie and Jergens's respective shares are: A jar contains 4 pink, seven red, and 3 orange marbles. If you pick one without looking, what is the probability that the marble you pick will be neither pink nor red? show work pls tnx! A baker prepares a cake mix that weighs 120 pounds. The cake mixconsists of shortening and other ingredients. The weights of the other ingredients are, 20 1/2 pounds of flour, 29 3/4 pounds of sugar, 18 1/8 pounds of milk, 16 pounds of whole eggs, and a total of 5 1/4 pounds of flavoring, salt, and baking powder. How many pounds of shortening are used in this cake mix? whoever gets done faster wins