There are fewer than 30 students in the A-level mathematics class. One half of them
play the piano, one quarter play hockey and one seventh are in the school play.
How many of the students play hockey?

Answers

Answer 1

The number of students that play hockey is 7

The proportion is given as:

[tex]Piano =\frac 12[/tex]

[tex]Hockey =\frac 14[/tex]

[tex]School\ Play =\frac 17[/tex]

The total number of students must be a multiple of 2, 4 and 7 less than 30;

The only multiple of 2, 4 and 7 less than 30 is 28.

The number of students that play hockey is the product of 28 and the proportion that plays hockey.

So, we have:

[tex]Hockey =\frac 14 \times 28\\[/tex]

Multiply

[tex]Hockey =7[/tex]

Hence, 7 students play hockey

Read more about common multiples at:

https://brainly.com/question/290451


Related Questions

Malcolm took 18 minutes to do 15 math problems. Diedra took 17 minutes to do 16 math problems. Which student did more problems per minute?

Answers

The student that did more maths problems per minute is Diedra.

In order to determine which student did more maths problems per minute, the rate of each student has to be determined. Rate is the total questions solved divided by the time.

Rate = total questions / total time

Malcolm = 15 / 18 = 0.833 problems per minute

Diedra = 16/ 17 = 0.941 problems per minute

To learn more about rate, please check: brainly.com/question/9834403

I really really really need help with this

Answers

Answer:

404

Step-by-step explanation:

PEMDAS48 ÷ 6 + (5×6) × 13 + 6 =            → Parenthesis48 ÷ 6 + 30 × 13 + 6 =                → Multiplication, division8 + 390 + 6 =                              → Addition404

[tex]\huge \bf༆ Answer ༄[/tex]

Use PEDMAS/BODMAS rule for simplification !

Let's solve ~

[tex] \sf{48} \div 6 + (5 \times 6) \times 13 + 6[/tex]

[tex] \sf48 \div 6 + 30 \times 13 + 6[/tex]

[tex] \sf8 + 30 \times 13 + 6[/tex]

[tex] \sf8 + 390 + 6[/tex]

[tex] \sf404[/tex]

Write an exponential function to model each situation. Find each amount after the

specified time.


A population of 1,236,000 grows 1.3% per year for 10 years

Answers

The formula would be y = 1,236,000(1.3)^t

After 10 years, the population would grow to become 17,039,309.59 people. You can round up to 17,039,310 people if the question asks to round to the nearest person.

1
A line has a slope of -2 and a y-intercept of -2.

What is the x-intercept of the line?
A -4
B -1
C 1
D 4

Answers

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 and c = - 2 , then

y = - 2x - 2 ← is the equation of the line

To find the x- intercept let y = 0 in the equation and solve for x , that is

- 2x - 2 = 0 ( add 2 to both sides )

- 2x = 2 ( divide both sides by - 2 )

x = - 1

The x- intercept is - 1 → B

What is the domain and range of the function f(x)=17?

Answers

D: All Real Numbers R: [17,17]
First, rewrite as y=17. This will look like a horizontal line.

Domain is all x values represented. If the line is infinately horizontal, the domain is all real numbers

Range is all y values. The only y value is 17. So u can write range as y=17. I don’t know what the other dude was doin with brackets. It’s simply y=17

PLLSSS HELP MEEEE!!

Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.

Number of tiles Bruce used: 5x + 2
Number of tiles Felicia used: 5x + 5

Answers

Answer:

No it is not possible for Bruce and Felicia to have used the same number of tiles.

Step-by-step explanation:

Bruce would have used 10x of tiles and Felicia used 7x of tiles.

No, it is not possible that Bruce and Felicia to have used the same number of tiles

The expression which shows the difference is (n² - 2)/2n, the correct option is B.

What is an Expression?

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

Number of tiles Bruce used: 5x + 2

Number of tiles Felicia used: 5x + 5

On equating the two expressions

5x+2 = 5x+5

There is no solution

At any value of x, Bruce would have always used 3 tiles less than Felicia.

To know more about Expression

https://brainly.com/question/14083225

#SPJ2

Which is the graph of the ordered pairs from the table below?

X Y
3 5
5 7
7 9
9 11

Answers

Answer:

It is the second

Step-by-step explanation:

Answer: number 2    ᕙ(@°▽°@)ᕗ

Step-by-step explanation:

Math problem (easy)
……………………………………..

Answers

PEMDAS multiply first
(-3/8 x 1/2)
= -3/16
3/4 - 3/16 multiply numerator and denominator to simplify

12/16 - 3/16

9/16

Hope this helps!
Brainliest and a like is much appreciated!
The answer would be 9/16 :))))))

2. Graph each inequality on a number line:

5x + 15 < 0

Answers

Answer:

x < -3

Step-by-step explanation:

1. To put this inequality on a number line, we first must solve it.

Step 1: Subtract 15 from both sides.

[tex]5x + 15 - 15 < 0 - 15[/tex] [tex]5x < -15[/tex]  

Step 2: Divide both sides by 5.

[tex]\frac{5x}{5} <\frac{-15}{5}[/tex] [tex]x < -3[/tex]

2. Now that we know x < -3, let's graph it!

Since it's less than, we make the number line point to the left, and we make the circle open.

is y=3/4x proportional or non proportional

Answers

Yes, it’s proportional. it’s proportional because when you graph the equation it’s a straight line the goes through the origin! brainliest is always appreciated :)

Help stuck on this question

Answers

place a point on -5, on the y axis. then draw a line straight through up one box and over one box placing points along the way to form a line

The equation 5y = 6 represents purchasing tubs of yogurt for $6. Which of these equations are equivalent to the equation 5y=6?
a 5y + 4 = 10
b 5y - 1 = 3
c 15y = 18
d 5y = 12

Answers

Answer:

blah blah

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

PLEASE HELPPPP

4(x−2 1/4)=−3.7

Answers


First let’s convert the mixed numbers to improper fractions 2 1/4 =9/4
Then u get 4(X-9/4) =-3.7
Now your gonna divide both sides by four
4(X-9/4) over 4 = -3.7 over 4
4/4 =1 …X=-9/4
-3.7/4 = -0.925
Now you’re going to add 9/4 to each side
X-9/4+9/4=-0.925 +9/4
-9/4 + 9/4 =0 (X)
Now you have just -0.925 and nine fourths
I converted 9/4 —> 2.25
Then u still have -0.925
So add 2.25+-0.925 u get ur X which is 1.325 (this is ur answer)


I need help completing this question.

Answers

Answer:

9.73556* 10^34

Step-by-step explanation:

A day and a half is 36 hours  ( 1 day is 24 hours)

1.5 days is 24 * 1.5 = 36 hours

P(t) = 300  ( 2) ^ 3t

t = 36

p(36) = 300 * 2^ (3*36)

         = 300  * 2^108

         =9.73556* 10^34

Round 23.4456 x 6.66 to the nearest ten (my brain isn't cooperating)

Answers

Answer:

160

Step-by-step explanation:

23.4456 x 6.66=156.147696 respectively.

156.147696 to the nearest ten is 160.

k + a/6 = 3k help b4 i cry my eyes out :’/

Answers

Answer:

Hope I explain it well!

Step-by-step explanation:

k + a/6 = 3k

well, I am not sure if we need to find the a, or the k, so lets find both!

--

First the a:

k + a/6 = 3k (subtract k)

a/6 = 2k (Multiply by 6)

a = 12k

--

Last, the k:

k + a/6 = 3k (Subtract k)

a/6 = 2k (Divide by 2)

a/12 = k

--

There you go, I hope you figure it out <3

Solve the system of equations.
fequations with
on: potato chips
15x + 3y = -3
equations with
n: -3x-4y=-2 &
2 = -y +3
2=
stems of
with
Y =

Answers

Answer:

y = - 3, x = 6

Step-by-step explanation:

15x + 31y = - 3

x = - y + 3

15(- y + 3) + 31y = - 3

-15y + 45 + 31y = - 3

16y + 45 = - 3

16y = - 48

y = - 3

x = - (- 3) + 3

x = 3 + 3

x = 6

Answer:

x = 6, y = -3.

Step-by-step explanation:

15x + 31y = -3

x = -y + 3

Substitute x = -y + 3 in the first equation:

15(-y + 3) + 31y = -3

-15y + 45 + 31y = -3

16y = -3 - 45 =-48

y = -3.

So x = -(-3) + 3 = 6.

Guided Practice
Give a reason to justify the equation.
3y+ (-5y) = [3+ (-5)]y
A. Commutative Property of Addition
B. Associative Property of Addition
C. Distributive Property

Answers

B. Associative Property of Addition

The volume of the triangular prism is 54 cubic units.
What is the value of x?
03
O 5
O 7
9
3x
what is the answer

Answers

Answer:

3 units

Step-by-step explanation:

I hope it helps you!

12. Fancy goldfish x cost $3 each and
common goldfish y cost $1 each. Graph
the function y
20
3x to determine
how many
of each type of goldfish Tasha
can buy for $20.

Answers

Answer:

x (Fancy Gold fish) = 3

y (Common goldfish) = 29

Step-by-step explanation:

Fancy goldfish x cost $3 each

common goldfish y cost $1 each

Graph: y  = 20 +  3x (I'm hoping this is the correct line equation, please do leave a comment below if it's not)

Thus, we graph it by subtitude either the x or y values. (Or you can use just X = 1,2,3).

Now, to find how many of each type of goldfish Tasha can buy. We subtitude the line equation by either using x = 3 or y = 1

Using either values to solve the equation, we get:

x = 3

y = 29

Hope this helps!

compare:
1. 4 3/8 (__) 4 7/10
2. 3/10 (__) 25/100
3. 5/8 (__) 3/5
4. 8/12 (__) 6/9
Help me please, and thx for the help

Answers

1. > 7/10 = 70% and is more than 3/8.
2.> 3/10 is equal to 30% which is more than 25%
3. > 5/8 is equal to 25/40 and 3/5 is equal to 24/40
4. = 8/12 is equal to 72/108 and 6/7 is equal to 72/ 108 too

1) 4 3/8 < 4 7/10

2) 3/10 > 25/100

3) 5/8 > 3/5

4) 8/12 = 6/9

hope this is helpful!

1. 6(12+4)
2. 10+4(2+20)
3. 7(4+19)

Answers

Answer:

1. 6 x 16 = 96

2. 10 + 4 x 22 = 10 + 88 = 98

3. 7 x 23 = 161

Step-by-step explanation:

factor the expression 14x - 21 using the GCF

Answers

you have to factor out the 7 because it goes into both 14 and 21. then you put the quotients from dividing into parentheses.

The volume of a cylinder is 600 pi cm cubed. The diameter of a base of the cylinder is 10 cm. What is the height of the cylinder?

Answers

Answer:

V = B * H      area of base * height

B = pi * (D / 2)^2 = pi * 5^2 = 78.5 cm^2

H = V / B = 600  cm^3 / 78.5 cm^2 = 7.64 cm

cos^2(90)+cos^2(120)+cos^2(135)+cos^2(150)+cos^2(180)​

Answers

Answer:

97

Step-by-step explanation:

what is 3/7-7/14 as a fraction

Answers

-1/14
hope this is helpful!

Answer:

-1/14or-0.07

Step-by-step explanation:

3/7-1/2=(2x3)/(2x7)-(7x1)/(7x2)=6/14-7/14=(6-7)/14=-1/14or0.07

What is the value of the expression below when z=
5?

5z - 4

Answers

Answer:

Well we’ll just substitute

So 5z-4

And z is 5

5*5-4

25-4=21

The value is 21

The value is 21 I hope it’s right

Which point would be a solution to the system of linear inequalities shown below?

Y>2/3x-4

Y<−4x−6

Answers

2/3x-4 im not all the way sure

Use the diagonals to determine whether a parallelogram with vertices A(2, 7), B(7, 9), C(5, 4), and D(0, 2) is a rectangle, rhombus, or square. Give all the names that apply.

Answers

Step-by-step explanation:

A and B have among each other the same distance relation as D and C : +5 in x, and +2 in y direction

and D and A have among each other the same distance relation as C and B : +2 in x, and +5 in y direction.

that means the slope of the first pair of sides is 2/5, and the slope of the second pair of sides is 5/2.

and that means that these 2 pairs of lines are not perpendicular (for this not only would we need to have the ratio upside down but also the sign would need to be flipped). there are no 90° angles.

so, there is no rectangle or square.

but because the sums of x and y coordinate differences are the same, we have the same distances between neighboring points.

and that makes it a rhombus.

Using a compass and a straightedge, a student constructed a triangle in which XY is one of the sides.

Answers

The length of the compass so that ΔXYZ is isosceles and not equilateral could be;

Option C; between ¹/₂XY and XY

Option E; greater than XY

We are told that;

Student has drawn a line XY

Now the student opened the compass with a set length to draw two intersecting arcs with X and Y as centers.

Now, for these two arcs to meet, the compass has to be opened to a length that is more than half of segment XY.

Secondly, since the triangle is not equilateral, it means the compass cannot be opened to length AB.

The next step would be t open the compass to a length slightly bigger or slightly smaller than AB.

Finally, the options that apply are Options C and E.

Read more about construction of Isosceles triangles at; https://brainly.com/question/2520169

Other Questions
which action prompted the united states to officially enter world war ii? What did the Monroe Doctrine do?A. It encouraged religious practices through the government.B. It maintained slavery throughout the South, but abolished it in the North.C. It warned Europeans against colonization in the Americas.D. It established a trade alliance with England. How do you multiply fractions? And do we have to simplify them by any chance or no? If the reserve requirement is 25%, a new deposit of $1,000 leads to a potential increase in the money supply of Which character feels that civil obedience should come before familial loyalty?A. IsmeneB. AntigoneC. OedipusD. Polyneices Which action will cause the tennis ball to move the farthest?You gently hit the tennis ball.You pull the tennis racket back and up and hit the ball hard as you swing down.You hit the tennis ball from another side to change its direction.You tap the tennis ball lightly. Why did the Europeans colonize the Americas? (choose all that apply)- Hatred- New opportunities- Pure Curiosity- Looking for the Northwest Passage- Imperialism- Religious exploration- Oppression- Trade Routes to China Need an answer right away for many points! I will report if it is not applicable. Multiply:5m^3 n^5 (25m^6 n)A. 125m^18n^10B. 30m^9 n^5C. 30m^9 n^6D. 125m^9 n^6 Elliot jumps up and down on a pogo stick. He weighs 600.N, and his pogo stick has a spring with spring constant 1100N/m. What is the height he will reach when he has gravitational potential energy 250J? m A cylinder has a height of 7 centimeters and a diameter of 4 centimeters. What is its volume? Use 3.14 and round your answer to the nearest hundredth. 2 Sarah's recipe for energy bars calls for 5 cup of dried fruit. How many cups of dried fruit will she need to make la batches of energy bars? hagan esto por favor escriban las palabras en un papel y abajo pongan lo que dice ahi son 25 puntos 6. Other illnesses and health problems happen when there aregenes orparts of genes or chromosomes. PLEASE RATE MY CONCLUSION DO I NEED TO CHANE AYTHING?the sky, and theyre very beautiful.This leads me back to the question: Is The Community in The Giver successful in creating a perfect world? The elders worked hard to keep the past in the past, hoping to build a society in which everyone is equal and no one is more unique than the other. A utopian society. As a result, recollections from the past resurfaced. memories of warfare, agony, desolation, and death. People were never given the opportunity to experience the frustrations, joys, and disappointments of making their own decisions. Because everything was chosen for them. The Giver might be viewed as a work of literature that critiques modern civilization. The role of The Receiver of Memory relates to how many people distrust the government. In the Giver people are unaware of their past and how they arrived at their current position. From an authority standpoint, secrets withheld from a community may be considered a safeguard and keep everyone secure. Once you start keeping secrets, that's when you lose the trust of those who once believed you. So no the Community in The Giver was and never will be successful in creating a perfect world. What is an important concept of being a patient advocate? In a chemical reaction, the mass of the reactants is 13.3 grams. Which of the following could represent the mass of the products?A. 26.6 grams.B. 13.3 grams.C. 39.9 grams.D. 3.3 grams. redacta un reglamento para un saln de clase con la estructura ( encabezado, prembulo, captulos o segmentos, artculos o apartados, sanciones) How did the cultivation of tobacco lead to the development of American slavery? The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock will form a central angle. The face of a clock is divided into 12 equal parts. Which statements about the clock are accurate? Select three options. The central angle formed when one hand points at 1 and the other hand points at 3 is 30. The circumference of the clock is approximately 62. 8 inches. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120. The length of the major arc between 3 and 10 is approximately 31. 4 inches. The length of the minor arc between 6 and 7 is approximately 5. 2 inches.