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

2) (x8y2)(x3y11)
a) xlly13
b) x24y22
c) xSy
d) 1

Answers

It’s a, x11y13 djdhdh

Answer:

the answer would be A.)

Step-by-step explanation:

Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven.

Part A
Let m = the number of miles Mr. Parker drives for the day. Choose the expression that shows the amount he will pay for the van.
A. 50m + 0.35 B. 0.35 + m + 50 C. m(0.35 + 50) D. 50 + 0.35m
Part B
Evaluate the expression you wrote to find the amount Mr. Parker will pay if he drives 80 miles.
Enter your answer in the box.

$

Answers

Answer:

Part A is D and part B is 78

Step-by-step explanation:

for part b 80 x0.35 is 28

28+50 is 78

Two what expression must 5a²-4a+3 be added to make the sum zero?

Answers

addition sybole is right

Find the angle measure of MP

Answers

Answer:

arc MP = 88°

Step-by-step explanation:

The measure of the inscribed angle MQP is half the measure of its intercepted arc MP , then

arc MP = 2 × ∠ MQP = 2 × 44° = 88°

Find the number of hours worked from 7:34 A.M.
to 11:48 A.M., assuming pay is for full quarter-
hours.

Answers

Answer:

3 hours

Step-by-step explanation:

If pay is for full quarter hours, then the worker won't get paid for work intervals of less than 15 minutes.

Subtract 7:34 from 11:48:  we get 3:14 hours.  Because the 14 minutes is less than the 15 minutes of a full quarter hour, the worker won't get paid for those 14 minutes.  

So the 'number of hours worked' is 3 hours.

Note that 3:14 would be 3 hours 14 minutes.

Find the solution to the following system using substitution or elimination:
y = -x + 10
y= 7x+ 2
O A. (1, - )
O B. (1,9)
O C. (,1)
O D. (9,65)

Answers

Answer:

B

Step-by-step explanation:

y = - x + 10 → (1)

y = 7x + 2 → (2)

Substitute y = 7x + 2 into (1)

7x + 2 = - x + 10 ( add x to both sides )

8x + 2 = 10 ( subtract 2 from both sides )

8x = 8 ( divide both sides by 8 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

y = 7(1) + 2 = 7 + 2 = 9

solution is (1, 9 ) → B

Find the area of this figure
Show work, please

Answers

Answer:

80 in2

Step-by-step explanation:

Here is my work shown in screeny

What is the value of x in the figure?
Enter your answer in the box.
X=
Look

Answers

Answer:

68

Step-by-step explanation:

both angles added should equal to 90

x = 90-22

x = 68

CHECK

68+ 22

90

.˙. x is equal to 68

In a bag of candies, the total number of yellow candies and blue candies is 75. The number of yellow candies is
15 more than twice the number of blue candies. How many yellow candies are in the bag?
Help!!

Answers

Answer:

Step-by-step explanation: 2x+15 = 75

                                             2x=60

                                              x=30 blue candies

                                              30 + 15 = 45 yellow candies in the bag

6 × 2 = ?
5 - 3 = ?
~~~~~~~~~~~
Hi i'm from Indonesian ​

Answers

Answer:

12

2

answer

hope it helps

What is 7/4+2/3
I can’t find the answer pls help

Answers

Answer:

2.41666666667

Step-by-step explanation:

2.41666666667 is the answer because of the additon. Just convert it.

2.41666666667 as a fraction equals 241666666667/100000000000.

Answer:

7/4 + 2/3 = 2 5/12

Step-by-step explanation:

What is 7/4 plus 2/3?

FractionCalculator

It can sometimes be difficult to add fractions, such as 7/4 plus 2/3.

But it's no problem! We have displayed the answer below:

7/4 + 2/3 = 2 5/12

How did we solve the problem above? When we add two fractions, such as 7/4 + 2/3, we make sure that the two denominators are the same and then we simply add the numerators.

In cases where the denominators are not the same, we find the lowest common denominator and adjust the fractions to keep them.


Simplify the expression 6C5.
a.6.
b. 24
C. 30
d. 720

Answers

Answer:  A) 6

=====================================================

Explanation:

Plug n = 6 and r = 5 into the nCr combination formula

[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_6 C _5 = \frac{6!}{5!*(6-5)!}\\\\_6 C _5 = \frac{6!}{5!*1!}\\\\_6 C _5 = \frac{6*5*4*3*2*1}{5*4*3*2*1*1}\\\\_6 C _5 = \frac{720}{120}\\\\_6 C _5 = 6\\\\[/tex]

Or you could use the shortcut

[tex]_n C _{n-1} = n\\\\[/tex]

Yet another path you could take is to use Pascal's Triangle. Locate the row that starts with 1,6,... and then locate the second to last item. That value in the triangle is 6.

A real world interpretation is to consider having 6 people and you are selecting 5 of them to form a group where order doesn't matter. How many ways are there to do this? Well there are 6 such ways because there are 6 ways to leave someone out of the group.

Solve for w.
-3(-8w+1) -w=5(w-1)-1
Simplify your answer as much as possible.
W =

Answers

Answer:

W = - 6

Step-by-step explanation:

-3(-8w+1) - w = 5(w-1) - 1 -> (Original equation)

24w - 3 - w = 5w - 5 - 1 -> (Expanded version)

23w - 3 = 5w - 6 -> (Simplified version)

18w - 3 = - 6 -> (Subtract 5w from both sides)

18w = - 3 -> (Add 3 to both sides)

w = 18/-3 which is - 6 -> (Doing 18/-3)

What is the slope of the line through (6,9)(6,9)left parenthesis, 6, comma, 9, right parenthesis and (7,1)(7,1)

Answers

Answer:

-8

Step-by-step explanation:

I don't really have an explenation

Answer:

y = -8x + 57

Step-by-step explanation:

hope this helps! :)

what is 18 1/5 -7 3/5 as a mixed number in simplest form

Answers

Answer:

53/5

Step-by-step explanation:

I hope this helps u.

Mark me as brainliest.

PLEASE HELP ASAP 40 points Solve -2/3x > 8 or -2/3x < 4. {x | x > -12 or x < -6} {x | -12 < x < -6} {x | x < -12 or x > -6}

Answers

Your answer should be mx+b

Cost to cross the bridge(one-way): Truck (2 or 3 axles): $3.00 Truck (4 or 5 axles): $6.25 Truck (6 or more axles): $10.00. One morning, 3 trucks, each with 5 axles, and 1 truck with 8 axles, crossed the bridge in one direction. write a math problem and solve it to answer. HOW MUCH WAS THE TOLL FOR THE CROSSING OF THE BRIDGE.​

Answers

Truck (2 or 3 axles): $3.00

Truck (4 or 5 axles): $6.25

Truck (6 or more axles): $10.00

Day1= 3 trucks with 5 axles and 1 truck with 8 axles passed the bridge

What we need to find:

Part a: an expression that represents the first passing of the 4 trucks and

a solution to the the first expression

Part b: a modification of first expression that includes the return passing of the 4 trucks and a solution for the trucks passing both times.

Part a:

3(6.25)+1(10.00)

3(6.25)+1(10.00)=$28.75

Part b:

2[3(6.25)+1(10.00)]

2[3(6.25)+1(10.00)]=2[28.75]=$57.50

The total bill was 56.25. how much would the bill be if 7 % tax was added

Answers

I used a calculator to solve and it came up with $60.1875

Suppose TD=SG and what additional information is needed to prove the two triangles congruent SAS
a)


PLEASE HELP

Answers

Answer:c

Step-by-step explanation:

Answer:

If TD = SG and MD = SL, then angle D would have to equal angle S in order to prove the triangles congruent by SAS.

Step-by-step explanation: C

Simply the expression. Write your answer as a power
8^9/8^7
The simplified expression is

Answers

When you have the same base but different exponents, simply subtract the exponents:
8^9/8^7
9-7=2
8^2

-salary of £1410
-26% of the total profit the company makes from her sales

Answers

Answer:

I'm not sure what the question is actually asking but 26% of the profit is 366.60

Step-by-step explanation:

if u subtract the profit, u have 1043.40 remaining

3(x+3/4+5-x/4-x/6)=10​

Answers

3(x+3-4+5-x-4-x-6)=10

-3x/-3= -28/3

x= -28/3

Х
0
1
9
5
29
Y
4
What is the slope of the line?
A 3
B 2
C 5
U UN W
D

Answers

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (5, 29) ← 2 ordered pairs from the table

m = [tex]\frac{29-4}{5-0}[/tex] = [tex]\frac{25}{5}[/tex] = 5 → C

There were approximately 16 million visitors to Disneyland in 2012. If the theme park is open every day of the year, about how many people visit per day?

Answers

approximately 43836 (rounded) people visit per day

I FORGOT TO PUT THE ANSWERS SORRY PLEASE HELP​

Answers

Answer:

Step-by-step explanation:

Circumscribed means written around the outside. -scribe means writing and

think of how circumference is the distance around the outside of a circle. It is a little more special and specific...all the segments that make the triangle are tangents to the circle, that is, they only touch the circle at one point.

So the circle is inscribed-- that is, written inside of the triangle (in the same, special specific way).

Circle A is inscribed in triangle RST.

Answer:

Inscribed

Step-by-step explanation:

What is polygon inscribe?

When a polygon is inscribed inside another polygon it is called polygon inscribe.Here Circle A is drawn inside ∆RST so it's inscribed.

9. Change the given equation to the form y = mx + b. Give the values of b and m.
x + 4y = 16
B=
M=

Answers

x+4y=16
subtract x
4y = -x+16
divide 4 from 4y and divide by 4 on other side too
(4y/4) = (-x/4) + (16/4)

y=-1/4x+4
M=-1/4
B=4

Can you help me with number 45 please ?

Answers

Answer:

h = 84

f = 132

g= 28

Step-by-step explanation:

h = 180 - 48 - 48 = 84

f = 180 - 48 = 132

g = 180 -132 - 20 = 28

What is 22.6% of 65 ​

Answers

First convert the percentage to decimal

22.6/100 = 0.226

0.226 x 65 = 14.69

Answer:

14.69

Step-by-step explanation:

22.6% = 0.226

65 × 0.226 = 14.69

help quick please
given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=920(1.05)^x​

Answers

Answer:

Growth

Step-by-step explanation:

since the (1.05) is bigger than 1 it is growth but if it was lower then  1 it would be decay .

The exponential function represents the growth and the percentage rate of increase is 5%

What is an exponential function?

The formula for an exponential function is f (x) = aˣ, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Given exponential function y = 920(1.05)ˣ

since the base value of the function is greater than 1 then the function shows growth.

for the rate of increase,

let x = 0 for the initial value

y = 920(1.05)ˣ = 920(1.05)⁰            (a⁰ = 1)

y₀ = 920

now x =1

y = 920(1.05)ˣ  = 920(1.05)¹

y₁ = 966

percent increase = 100(y₁ - y₀)/y₀

percent increase = 100(966 - 920)/920

percent increase = 100 x 0.05 = 5%

Hence the growth of function at the rate of 5%.

Learn more about exponential function;

https://brainly.com/question/14355665

#SPJ2

Find the equation of a line perpendicular to y= 3x + 7 that passes through the
point (9,-7).

Answers

Okay so the gradient of the perpendicular line is -1/3 and then from there u have to solve for the y intercept. Substitute in 9 and -7 where -7 is y and 9 is x. The equation is y=-1/3x-4 :)

Answer:

[tex]y=-\frac{1}{3}x-4[/tex]

Step-by-step explanation:

To find the slope perpendicular to this, take the negative reciprocal of the slope. Basically, invert both the fraction and the negative/positive so that 3 becomes -1/3.

Now, using the new slope and the given point, we can find the y-intercept. Plug the 3 known variables into the equation:

[tex]y=mx+b\\-7=(-\frac{1}{3})(9)+b[/tex]

Then, solve for b:

[tex]-7=-3+b\\-4=b\\b=-4\\[/tex]

Finally, with both the slope and the y-intercept, you can write the equation of the line:

[tex]y=-\frac{1}{3}x-4[/tex]

Other Questions
how much more than 79 is 78 + 18? 7/24*5/14*16/25PLS HELP!!!!!!! How would you express sin(-a-b) Which elements of art did the artist use to accomplish the illusion of depth? Line, shape, space, and color Line, texture, space, and value Texture, repetition, space, and line Value, shape, pattern, and color The table below shows a correct representation that 15 pounds (lb) of sugar cost $3:A. True B. False Which ion/molecule in the saliva allows you to taste sugar as sweet? A. Hydrogen ions B. Sodium ions C. Glucose D. Alkaloid molecules Alberta is going to take a 2-hour-26-minute flight from Chicago, Illinois, toDenver, Colorado, that leaves at 11:49 a.m. Chicago time. If Illinois is in thecentral time zone and Colorado is in the mountain time zone, what will be thelocal time in Denver when the flight arrives?Use the following to help you answer the question12:00 p.m. eastern time = 11:00 a.m. central time = 10:00 a.m. mountaintime = 9:00 a.m. Pacific time.A. 12:15 p.m.B. 2:15 p.m.C. 1:15 p.m.D. 11:15 a.m.SUBMIT Which type of energy is produced on farms and rooftops and has managed to reduce New Mexico's carbon emissions by over 30 percent? A. Solar B. Oil C. Natural gas D. Wind. HELP Plz Read this excerpt from Vachel Lindsays "In Praise of Johnny Appleseed. " Self-scourged, like a monk, with a throne for wages, Stripped like the iron-souled Hindu sages, Draped like a statue, in strings like a scarecrow, His helmet-hat an old tin pan, But worn in the love of the heart of man. The author most likely uses the allusions in this excerpt to indicate Appleseeds intelligence. Explain Appleseeds religious faith. Depict Appleseeds love of agriculture. Illustrate Appleseeds humble station. When there are two bearings and you want to go out to five how many will they be left Which of the following statements correctly uses the distributive property?-2(15 - 3) = -2(15) + (-2)(3)7(9 - 8) = 7(9) - 89(-7 + 6) = 9(-7) + 9(6)-3(12 + 5) = -3(12) - (-3)(5) Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot? Assume y not-equals 0. (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) (x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline) (x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline) (x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline). the weak base ionization constant (ka) for h2c2o4 is equal to what? How do I find x please I need help asap Which ordered pairs are solutions to the inequality 2y-x-6 ? a. (0,-3) b. (5,10) c. (2, -2) d. (-5, 2) How many crew members did Zheng He command?a.16,000c.40,000b.32,000d.28,000 You plan on making a $235. 15 monthly deposit into an account that pays 3. 2% interest, compounded monthly, for 20 years. At the end of this period, you plan on withdrawing regular monthly payments. Determine the amount that you can withdraw each month for 10 years, if you plan on not having anything in the account at the end of the 10 year period and no future deposits are made to the account. A. $769. 27 b. $767. 23 c. $78,910. 41 d. $79,120. 84. which event occurs as a direct result of pops tellling ted he wants t get rid of Ollly Militia members ready to fight atminute's notice" were calledA. the best of the militiaB. turn coatsC. minute men Fifteen cards numbered 1-15 are placed in a hat. What is the probability that the card has a multiple of 3 on it, given that the card picked is an oddnumber? Express your answer as a fraction in simplest form.