a group of 4 pupils can take 2 weeks to do a certain job.how long will 12 pupils take to complete the job if they work at the same rate​

Answer:

Yes

Step-by-step explanation:

You can do this

2/3 = 12/18

Do cross products

2 times 18 = 3 times 12

36=36

Answer:

It will cost $12.5 per person to charter a bus for 36 passengers

Step-by-step explanation:

The cost per person c of chartering a tour bus  varies inversely as the number of passengers  n.

We can write:

[tex]c\:\alpha \:\frac{1}{n} \\c=\frac{k}{n}[/tex]

where k is constant of proportionality

We are given when c = 22.50, n = 20

We need to find c when n = 36

First using c = 22.50, n = 20 we will find k, the constant of proportionality

[tex]c=\frac{k}{n}\\22.50=\frac{k}{20}\\k=22.50 \times 20\\k=450[/tex]

So, we get k = 450

Now, we will find c when n = 36

[tex]c=\frac{k}{n}\\c=\frac{450}{36}\\c=12.5[/tex]

So, we get the value of c: c = 12.5

Therefore, It will cost $12.5 per person to charter a bus for 36 passengers

Answer:

Constant of proportionality =30

Slope = 30

So the equation is y= 30x

This is the exact question by the way:

Answer:

A.

Step-by-step explanation:

Q1 = 4.6

Q2 = 5.5

Q3 = 5.95

take care

-kitten

Answer:

4 to 1

Step-by-step explanation:

Answer:

4:1

Step-by-step explanation:

1. its black:white

2. 8 black: 2 white

3. simplify

4. 4 black: 1 white

5. answer: 4:1

5.25 + 13

= 18.25

Xavier rode his bicycle for a total of 18.25mi in one week.

Answer:

D) 57.5°

Step-by-step explanation:

As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.

Pythagoras Theorem = [tex]c^{2}[/tex] = [tex]a^{2} + b^{2}[/tex]

a = 7 and b = 11

[tex]a^{2}[/tex] = 49

[tex]b^{2}[/tex] = 121

Plugging in the values, we will get:

[tex]c^{2}[/tex] = 49 + 121

[tex]c^{2}[/tex] = 170

c = [tex]\sqrt{170}[/tex]

To calculate the unknown angle B, we can use law of sine.

Law of sine = [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

So,

[tex]\frac{c}{sinC}[/tex] = [tex]\frac{b}{sinB}[/tex]

[tex]\frac{\sqrt{170} }{sin90}[/tex] =  [tex]\frac{11}{sinB}[/tex]

Sin90 = 1

sinB = [tex]\frac{11}{\sqrt{170} }[/tex]

B = [tex]sin^{-1}[/tex] ([tex]\frac{11}{\sqrt{170} }[/tex])

B = 57.5°

Answer:

£6,910.70

Step-by-step explanation:

The computation of the amount invested is given below:

As we know that

Amount = Principal × (1 + rate of interest)^number of years

£8000 = Principal × (1 + 0.05)^3

£8000 = Principal × 1.05^3

£8000 = Principal × 1.157625

So, the principal amount is

= £8000 ÷ 1.157625

= £6,910.70

Answer: 17%

Step-by-step explanation:

Last year:

Number of boys = 150 boys

Number or girls = 150 girls.

Total = 300 students

This year:

Number of boys = 150 + (24% × 150)

= 150 + (0.24 × 150)

= 150 + 36

= 186

Number or girls = 150 + (10% × 150)

= 150 + (0.1 × 150)

= 150 + 15

= 165

Total students = 186 + 165 = 351

Percentage increase = (351 - 300) / 300 × 100

= 51 / 300 × 100

= 17%

Answer:

Thats wrong

Step-by-step explanation:

Find new values:

150(1+0.24)=\color{green}{186}

150(1+0.24)=186

150(1+0.06)=\color{blue}{159}

150(1+0.06)=159

Last Year This Year

Boys 150 186

Girls 150 159

Total 300 345

\text{Find overall increase:}

Find overall increase:

300(1+r)=345

300(1+r)=345

\frac{300(1+r)}{300}=\frac{345}{300}

300

300(1+r)

​

=

300

345

​

1+r=1.15

1+r=1.15

r=0.15

r=0.15

Subtract 1

\text{Final Answer: }15\%

Final Answer: 15%

Step-by-step explanation:

- boys=5x

- girls=3x

5x+3x=32

8x=32

x=32:8

x=4

5×4=20 (boys)

3×4=12 (girls)

Answer:

the answer should be c

Step-by-step explanation:

A Box and Whisker Plot (or Box Plot) is a convenient way of visually displaying the data distribution through their quartiles. The lines extending parallel from the boxes are known as the “whiskers”, which are used to indicate variability outside the upper and lower quartiles

Whiskers function in a box and whisker plot represent the interquartile range. Therefore, option A is the correct answer.

A special kind of graph called a box and whisker plot is used to display the distribution of groupings of numerical data. It displays the median—the average value of the numbers in your data—as well as the lowest and greatest values as well as the quartiles, which divide the data into four equally-sized groups.

The whiskers are the two lines that extend outside the box and run from the minimum to the lower quartile (the box's beginning) and from the higher quartile (the box's end) to the maximum value.

Therefore, option A is the correct answer.

Learn more about the box-and-whisker plot here:

https://brainly.com/question/11859288.

#SPJ6

Answer:

13778.94

Step-by-step explanation:

did it on my calculator

Step-by-step explanation:

I dont now but i think 20 or 34

Answer:

x=17.5 or 18,y=12.5,or 13

Step-by-step explanation:

20-15 = 5    

5÷2 = 2.5

15+2.5 = 17.5

15-2.5=12.5

Answer: 2.54x is the expression

12 in. Is equal to 30.48cm

Step-by-step explanation: multiplying 12 and 2.54 is how you get 30.48 and the expression is just so you can figure out how to get 12 inches, you’re really just showing the formula you used. Hope this helped.

Answer:

The length of the hypotenuse is: 45 yards

Step-by-step explanation:

Given

a=27 yd

b=36 yd

To Determine

Hypotenuse = c

Pythagorean Theorem

For a right-angled triangle with sides a, b, and c is defined as:

[tex]c=\sqrt{a^2+b^2}[/tex]

as

a=27

b=36

so substituting a=27, b=36

[tex]c=\sqrt{27^2+36^2}[/tex]

[tex]c=45[/tex] yards

Therefore, the length of the hypotenuse is: 45 yards

Answer:

2x + y = 3

Step-by-step explanation: because if you do 2x1 you'll get 2

Answer:

x = -2y

Step-by-step explanation:

Step 1. x + 2y = 0

Step 2. x + 0 = -2y

Step 3. x = -2y

Answer:

-9

Step-by-step explanation:

-18 divided by 3 is -6

(-15)-(-6) is -9

Answer:

35.90÷4 is the equation for one video game

Answer:

Step-by-step explanation:

If Cody bought 4 games for 35.90,

price=p

p=35.90/4

Answer:

65

Step-by-step explanation:

26 divided by 40 then multiply by a hundred

Answer:

dont report this please im here to say

hope you figure it out the answer

Step-by-step explanation:

please :(  ( T_T )

Answer:

6/5    1.2    1 1/5

Step-by-step explanation:

1+2+3=6

You do not change the denominator while adding fraction so it remains the same at 5

Answer:

Answer is 69%

Step-by-step explanation:

Because 69% of 42 is 29

Answer:

29/42*100=69%

Step-by-step explanation:

Answer:

Jane spend 4 hours in a day sleeping, and 28 hours in a week.

Step-by-step explanation:

In 1 day, there are 24 hours. 24 multiplied by 1/6 is 4. I know this because 24 x 1/6 = 24/1 x 1/6 = 24/6 = 4/1 = 4.

In 1 week, there are 168 hours. 1/6 multiplied by 168 is 28. I know this because 168 x 1/6 = 168/1 x 1/6 = 168/6 = 28/1 = 28

I would appreciate brainliest.