7. There are 42 pupils in a class. 12 of them are Malays while the rest are
Chinese. 1/4 of the boys and 12 of the girls are Malay. How many boys
are there in the class?



I NEED THIS ASAP!!!

Answers

Answer 1

Answer:

There are 36 boys in the class.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the number of boys

y is the number of girls.

There are 42 pupils in a class.

This means that [tex]x + y = 42[/tex].

Since we want x, we have that [tex]y = 42 - x[/tex]

12 of them are Malays while the rest are Chinese. 1/4 of the boys and 1/2 of the girls are Malay.

This means that:

[tex]\frac{x}{4} + \frac{y}{2} = 12[/tex]

Since [tex]y = 42 - x[/tex]

[tex]\frac{x}{4} + \frac{42 - x}{2} = 12[/tex]

Multiplying everything by 4.

[tex]x + 84 - 2x = 48[/tex]

[tex]-x = -36[/tex]

[tex]x = 36[/tex]

There are 36 boys in the class.


Related Questions

A screening test for a disease shows a positive result in 91% of all cases when the disease is actually present and in 7% of all cases when it is not. Assume that the prevalence of the disease is 1 in 650. If the test is administered to a randomly chosen individual, what is the probability that the result is positive

Answers

Answer:

0.0713 = 7.13% probability that the result is positive.

Step-by-step explanation:

Probability of a positive test:

91% of 1/650(has the disease).

7% of 1 - 1/650 = 649/650(does not have the disease). So

[tex]p = 0.91\frac{1}{650} + 0.07\frac{649}{650} = \frac{0.91 + 0.07*649}{650} = 0.0713[/tex]

0.0713 = 7.13% probability that the result is positive.

can someone please help me with this​

Answers

Answer:

Surface Area = 139.4 (rounded to nearest tenth)

Find the degree measure 7pi/4 radians

Answers

The degree for 7pi/4 is : 315°

Please help me with simplifying this equation? (-5)^5/ (-5)^-6
Thanks

Answers

I think so that the answer is -48828125

maths question 11 divided by 4 please give me the answer in decimal as fast as u can

Answers

2.75

Step-by-step explanation:

[tex]\sf\purple{2.75}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{11}{4} \\ = 2.75[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]

The track team has 12 more boys than girls. There are a total of 142 team members. How many boys and girls are on the team?

Answers

Answer:

77 boys, 65 girls

Step-by-step explanation:

x as the variable to represent amount of girls, and there are 12 more boys than girls (x+12). So the equation would be:

x + x + 12 = 142

2x + 12 = 142

x = 65

65 girls

then 65+ 12 = 77 boys

Karen and Caroline saved up a total of $61. They decided to spend $25 on candy and $17 on ice cream. How much money did Karen and Caroline have left?​

Answers

Answer:

$19

Step-by-step explanation:

$61-$25=$36-$17=$19

The answer is $19 dollars all you do is subtract $25 dollars then $17 dollars :) !

Relationships in Figures

If one measurement of a golden rectangle is 6.1 inches, what is the other measurement?

a. 4.482
b. 7.718
c. 9.87
d. 1.618

Please select the best answer from the choices provided

Answers

Answer:

C. 9.87

Step-by-step explanation:

I calculated it logically

5th grade math. correct answer will be marked brainliest

Answers

210 - 30 = 180

180 ÷ 15 = 12

12 weeks

It would take her 12 weeks to pay for the DVD player.

Can someone explain why the ans is X=6? Its (x-6)

Answers

Answer:

because either x-6=0 or x+1=0

x-6=0

x=0+6

x=6     OR,

x+1=0

x=0-1

x=-1

Step-by-step explanation:

Assume the total cost of a college education will be $200,000 when your child enters college in 16 years. You presently have $55,000 to invest. What annual rate of interest must you earn on your investment to cover the cost of your child’s college education?

Answers

Answer:

8.4%

Step-by-step explanation:

let x = interest rate

55,000(1 + x)^16 = 200,000

divide both sides by 55,000

(1 + x)^16 = 3.636

find the invese of 16

1 + x = 1.084

x = 0.084

x = 8.4

IM LOW ON TIME AND NEED YOUR HELP 30 PST

Answers

Answer:

12.56

Step-by-step explanation:

First of all, pi = 3.14

Diameter=4

Radius=2

3.14×[tex]2^{2}[/tex]

So,

3.14 × 4 =

12.56

Hope this helps!! (Hope I did this in time!!)

Plzzz help as soon as possible

Answers

Answer:

Step-by-step explanation:

8 is not a function

9 is a function

10 is a function

-x if x si
Find f(7) for f(x) = 3 x + 5 if 15x<2
x? if x 22

Answers

Answer:

[tex]f(7) = 49[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \left[\begin{array}{cc}3x+5&1.5 <x < 2\\x^2&x>2\end{array}[/tex]

Required

Determine f(7)

To do this, we make use of

[tex]f(x) = x^2[/tex]

Because [tex]7 > 2[/tex]

So, we have:

[tex]f(x) = x^2[/tex]

This becomes:

[tex]f(7) = 7^2\\[/tex]

[tex]f(7) = 49[/tex]

Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. Michelle has a score of 48. Convert Michelle's score to a z-score. (Round to two decimal places if necessary.)

Answers

Answer:

-2.00

Step-by-step explanation:

Applying,

Z = (x-μ)/σ.................. Equation 1

Where Z =  Michelle z-score, x = Michelle score, μ = mean of the score, σ = Standard deviation of the score.

From the question,

Given: x = 48, μ = 70, σ = 11

Substitute these values into equation 1

Z = (48-70)/11

Z = -22/11

Z = -2.00

Hence Michelle's z-score is -2.00

What is its equation in slope-intercept form ?

Answers

Answer:

Candice

Step-by-step explanation:

A 4-story parking garage
has spaces for 240 + 285 + 250 + 267
cars. While one floor is closed for
repairs, the garage has spaces for
240 +250 + 267 cars. How many spaces
are there on the floor that is closed?
Explain.

Answers

i think the answer would be 189.25 round 190

add 240+250+267 = 757 divide by 4 = 190 or

240/4 = 60
250/4= 62.5 round 63
267/4= 66.75 round 67

add up = 190

I think 190 would be the answer

Solve
4x > 16
..............​

Answers

Answer:

256. fffddddddssddddd

1. 4x > 16 = x > 4.

hope i could help

Help me PLEASEEEEEEEEEEEEE

Answers

Answer:

the first two are true and the last two are false

Help with 5+5-3 please

Answers

Step-by-step explanation:

5+5-3= 7

!!!!!!!!!!!!!!!!!

Answer:

answer is 7 please give a brainliest please

Step-by-step explanation:

Find the area of the composite figure

Answers

Answer:

area of semicircle=76.969 inches

triangle is=10 in so 20 since there is 2 triangles made

rectangle=140 in

236.969 inches is the total

hope this helps

have a good day :)

Step-by-step explanation:

What is the measure of remote angle, ∠A?

Answers

Answer:

40

Step-by-step explanation:

Inscribed Angle =  1/2 Intercepted Arc

<A = 1/2 (80)

<A = 40

Question 3 of 25
If f(x) = 3x + 2, what is f(5)?
O A. 10
O B. 17
O c. 1
O D. 13

Answers

Answer:

I believe it's 17 :)

Step-by-step explanation:

5×3= 15 +2 = 17

B.) 17. F(5)=3(5)+2. F(5)=17

What is the exact measurement of the line segment?

Answers

It looks like it’s 3.25 or 3 and 1/4

Kim took a 3,000 mile trip in 4 days.

1st day - 850 miles

2nd day - 745 miles

3rd day - 660 miles

How many miles did she travel the 4th day?

O A. 2265 miles

B. 745 miles

C. 855 miles

O D. 265 miles

E 755 miles

Answers

Answer:

B. 745 miles

Step-by-step explanation:

Given that

Kim took 3000 miles trip in 4 days

And,

1st day - 850 miles

2nd day - 745 miles

3rd day - 660 miles

We need to find out that how much she travel in the 4th day

So, it is

= 3000 miles - 850 miles - 745 miles - 660 miles

= 745 miles

Hence, the option b is correct

Plz help me well mark brainliest if correct..??

Answers

Answer:

C/5

Step-by-step explanation:

This is because there are 2 people in the 3| part, and 3 people under 6 in the 4| part.

SALE
70% OFF!
The original price of a chandelier is $440. How much will Victoria pay if she buys it during the
sale?

Answers

Answer:

$132

Step-by-step explanation:

$440-440×0.70

=$132

A letter is randomly chosen from the word CANDLESTICK. Find the probability that
you chose an Nor S.

Answers

Answer:

The probability of you choosing S would be a 1/11 chance or a 0.0909090909 chance.

Answer:

1 / 11

Step-by-step explanation:

there are 11 letters in candlesick so 11 possibilities and 1 S which is 1 out of 11 or 1 / 11.

Hope this helps ( :

The sampling distribution describes the a. long-run behavior of a statistic. b. short-term behavior of the population. c. sample size. d. population proportion.

Answers

Answer:

Option A

Step-by-step explanation:

A probability distribution of a statistic that represents a large sample derived from a certain specific population size to  determine a range of possible outcomes of statistics such as Mean, Standard deviation, mode, median etc. in a way that it represents the existing entire population is known as a  sampling distribution

Hence, option A is correct

A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 141 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.)
radius = ? in.
length = ? in.

Answers

Answer:

radius r = 47/π in

length l = 23.5 in

Step-by-step explanation:

Let us recall that:

Volume of a cylinder = [tex]\pi r^2 h[/tex] --- (1)

The girth g = [tex]2 \pi r + h[/tex]      ----- (2)

Given that:

height (h) + girth (g) = 141

Then g = 141 - h   ----- (3)

Equating equation (2) and (3), we have:

141 - h = 2πr + h

2h = 141 - 2πr

h = 70.5 - πr      ------ (4)

From, here now, we can now replace the value of h into equation (1)

i.e.

V = πr²(70.5 - πr)

V = 70.5πr² -  π²r³

Taking the differential of the above equation with respect to r, we have:

[tex]\dfrac{dv}{dr} = 141 \pi r- 3\pi ^2 r^2[/tex]

By further differentiation:

[tex]\dfrac{d^2v}{dr^2} = 141 \pi - 6\pi ^2 r[/tex]

Let set [tex]\dfrac{dv}{dr}= 0[/tex], Then:

141πr - 3π²r² = 0

141πr = 3π²r²

Divide both sides by πr

141 = 3πr

r = 141/3π

r = 47/π in

Replacing the value of r = 47/π into equation (4), we have:

h = 70.5 - πr

h = 70.5 - π(47/π)

h = 70.5 - 47

h = 23.5 in

From equation (3);

h + g = 141

23.5 + g = 141

g = 141 - 23.5

g = 117.5 in

Volume = πr²h

V = π × (47/π )² × 23.5

V = 16523.94 in³

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