Q1) If Q is directly proportional to P and Q = 28 when P = 4, (i) express Q in terms of P, (ii) find the value of Q when P = 5, (iii) calculate the value of P when Q = 42. Q2) If z is directly proportional to x and z = 12 when x = 3, find the value of x when z = 18. Q3) If B is directly proportional to A and B = 3 when A = 18, find the value of B when A = 24. I NEED THE ANSWERS QUICKLY!!!

Answer:

2 into x into y

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

So we know that:

[tex]f(x)=4x+8\text{ and } g(x)=2x-12[/tex]

First, know that:

[tex](f-g)(x)[/tex]

Is the same as:

[tex]=f(x)-g(x)[/tex]

Substitute:

[tex]=(4x+8)-(2x-12)[/tex]

Distribute:

[tex]=4x+8-2x+12[/tex]

Combine like terms;

[tex]=2x+20[/tex]

Thus:

[tex]f(g(x))=2x+20[/tex]

This is simply a linear equation.

Thus, the domain is all real numbers.

In interval notation, this is:

[tex](-\infty, \infty)[/tex]

Answer:

160 balloons

Step-by-step explanation:

Step 1: State what is known

She blew up 24 balloons

She only inflated 15%

We want to find the total amount of balloons

Let the total balloons equal "x"

Step 2: Write you equation

[tex]0.15x=24\\\frac{0.15x}{0.15} =\frac{24}{0.15} \\x = 160[/tex]

Therefore there are 160 balloons in total

Answer:

36

Step-by-step explanation:

To find the average of a series of numbers, add them together and then divide by the count of numbers, i.e., 4.

(35 + 27 + 54 + 28) / 4 = 36

Answer:

answer is 36

Step-by-step explanation:

for finding average we have to add all the numbers and by dividing that by the total number present we can get the average

so there are 4 numbers

average= 35+27+54+28/ 4

or 144/4= 36 (ans)

thank uu

Answer:

[0,6] means that its the numbers from 0 through 6 containing 0 and 6

[0,6) means that it contains the numbers from 0 through 6 containing 0 but not 6

(0,6) means that it contains the numbers from 0 through 6 containing not 0 or 6.

Step-by-step explanation:

Answer:

*Over the interval (-3,-1], the local minimum is 0

*Over the interval (-1,0], the local maximum is 4.39

*Over the interval [0, 3], the local minimum is -32

here’s my answer hope I got it right!

Answer:

1. 0

2. 4.39

3.  -32

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

[tex](-140 ^0) ^ -2\\1^-2\\1\\[/tex] (Any number whose exponent in 0, becomes 1)

Answer:

[tex]\sqrt{\frac{9}{4}}[/tex]       [tex]\frac{5}{3}[/tex]         [tex]\sqrt{5}[/tex]       [tex]2.5[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{\frac{9}{4}}[/tex]

[tex]\sqrt{5}[/tex]

2.5

[tex]\frac{5}{3}[/tex]

Required

Order from least to greatest

Start by simplifying each expression

[tex]\sqrt{\frac{9}{4}}[/tex]

Split square root

[tex]\frac{\sqrt{9}}{\sqrt{4}}[/tex]

Take square root of numerator and denominator

[tex]\frac{3}{2}[/tex]

[tex]1.5[/tex]

Hence

[tex]\sqrt{\frac{9}{4}} = 1.5[/tex]

-----------------------------------------------------------

[tex]\sqrt{5}[/tex]

[tex]\sqrt{5} = 2.2361[/tex] (Approximated)

-----------------------------------------------------------

[tex]2.5[/tex]

-----------------------------------------------------------

[tex]\frac{5}{3}[/tex]

[tex]\frac{5}{3} = 1.6667[/tex]

Considering the simplified expression; the number from least to greatest is:

[tex]\sqrt{\frac{9}{4}}[/tex]       [tex]\frac{5}{3}[/tex]         [tex]\sqrt{5}[/tex]       [tex]2.5[/tex]

Answer:

2+9 is 11

so write any expression that equals 11  like...

1+10=11

2+9=11

3+8=11

4+7=11

5+6=11

and those above are all example of expression that is equivalent to 2+9

Answer: C ON EDGE 2021

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4x4x4x4=256

Answer:

It is a linear model

Step-by-step explanation:

The answer choices imply that you can model the relationship between the variables with a line or curve.

find the relevant data points on the scatter plot and draw a line of best fit to visualize this relationship. The line of best fit should be drawn through appropriate points. The only far away point can be ignored. The line of best fit need not pass through the majority of the points.

According to the scatter plot and the line of best fit, it will be seen that as X - variables increases, Y - variable decreases, leading to a strong negative correlation.

The Majority of the data points are fairly close to the line of best fit, which means the correlation is strong.

Answer:

10

Step-by-step explanation:

Let A = set of numbers from 1 - 10

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Let B = subset of A which are even numbers

B = {2, 4, 6, 8, 10}

Let C = subset of A which are multiples of 5

C = {10}

which elements are in both the subset of even numbers, and the subset of multiples of 5:

AnB means elements which appears in both set B and C

BnC = {5}

Answer:

[tex]\large \boxed{\mathrm{2.1 \ is \ to \ the \ left \ of \ 2.8 \ on \ a \ horizontal \ number \ line}}[/tex]

Step-by-step explanation:

[tex]2.1<2.8[/tex]

[tex]\sf 2.1 \ is \ lesser \ than \ 2.8.[/tex]

[tex]\sf A \ number \ that \ is \ lesser \ than \ another \ number \ is \ to \ the \ left \\ \ of \ that \ number \ on \ a \ horizontal \ number \ line.[/tex]

Answer:1 is to the left of 2.8 on a horizontal number line

Step-by-step explanation:

Circumference of a circle = 176 m

Calculate the diameter.

Circumference of circle = 2πr

We know that,

Circumference of circle = 2πr

=> 176 = 2 × 22/7 × r

=> 176 × 7 = 44 × r

=> 1232/44 = r

=> r = 28 m

Answer: Kim took 50 minutes to read the third book.

Step-by-step explanation: If you substract 120 - 15 = 105. Then divide 105 / 3 = 35. And finally add 35 + 15 = 50.

Answer: -2y^2+7y-4

Step-by-step explanation:

Combine -5y^2 and 3y^2 to get -2y^2.

Combine 5y and 2y to get 7y.

Combine -5, 2, and -1 to get -4.

Put these in order with the highest exponent first.

-2y^2+7y-4

Answer:

x = 5

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] (x + [tex]\frac{5}{2}[/tex] ) = [tex]\frac{15}{4}[/tex]

Multiply both sides by 4 to clear the fractions

2(x + [tex]\frac{5}{2}[/tex] ) = 15 ← distribute parenthesis on left side

2x + 5 = 15 ( subtract 5 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Answer:

x = 5

Step-by-step explanation:

i solved x using trial and error

1/2 (x+ 5/2)= 15/4

so i tried with 2

1/2 (2 + 5/2)= 9/4

which is too less, so i tried with 7

1/2 (7+ 5/2)= 19/4

which is too big, so i tried with 6

1/2 (6+ 5/2)= 17/4

which is nearly there and i tried with 5

1/2 (5+ 5/2)= 15/4

and it came exactly

​

​

Answer:

0

Step-by-step explanation:

-5 + 7 - 6 - (-4)

-11 + 7 - (-4)

-11 + 7 +4

-11 + 11

= 0

Answer: 0

Step-by-step explanation:

-5 + 7 -6-(-4)    

-5 + 7 -2

-5+ 5 = 0

Answer:

[0, 57.5]

OR

0 - 57.5

Step-by-step explanation:

Given the function [tex]H(t)[/tex] which gives the heart rate as per time.

That means Heart rate of the runner changes according to time.

[tex]H(t)[/tex] is a function which takes Time as input as observed by the function's representation. In bracket, there is [tex]t[/tex].

That also means time [tex]t[/tex] is the input to the function [tex]H(t)[/tex].

It is also given that during the time as the runner runs, the heart beat will change.

The output of the given function will be Heart beat of the runner.

Time taken to complete the run is given as 57 minutes and 30 seconds.

Domain of a function is the valid inputs that can be given to the function for which the output of the function is defined.

Here, time in minutes is the input to the function.

So, maximum time can be 57.5 minutes.

And as the runner will start from the time = 0 minutes

So, the valid inputs can be from 0 to 57.5 minutes.

Therefore, the domain is [0, 57.5]

OR

0 - 57.5

Answer:

yes

Step-by-step explanation:

take for example

in the expression: 3x²+5x+2=0,

the coefficients here are +3 and +5 while +2 is a constant. +3 and +5 are coefficients of the variables x² and x respectively

Answer:

Per day earning is $1.

Step-by-step explanation:

Initial balance that Usha had  = $84

Number of working days = 6 days

Total money after working 6 days = $45 × 2 = $90

Since we know that the initial amount is $84 and the final amount is $90. Thus the amount earned by working 6 days is 90 – 84 = $6.

Now we have to calculate the per day earning. Therefore, just divide the earning with number of days.

Per day earning = $6 / 6 = $1

Answer:

17

Step-by-step explanation:

If you divide 20 by 100 then multiply by 85 you get the number shes likely to make

Answer:

17

Step-by-step explanation:

She will make 17 shots because:

[tex]\frac{85 x 20}{100}[/tex] = 17.

So, the answer is 17. Hope this helps!

Answer:

1/4

Step-by-step explanation:

3 red + 6 green = 9 total

P( red) = red/total = 3/9 = 1/3

Now we don't put it back

2 red + 6 green = 8 total

P( green) = green/total = 6/8 = 3/4

P (red, keep,green) = 1/3 * 3/4 = 1/4

Answer:

[tex]\Large \boxed{{\frac{1}{4} }}[/tex]

Step-by-step explanation:

There are 3 red clips and 6 green clips.

Total clips = 3 + 6 = 9

The probability of picking a red clip is 3/9 = 1/3.

You don’t put the red clip back.

Now there are 2 red clips and 6 green clips.

Total clips = 2 + 6 = 8

The probability of picking a green clip is 6/8 = 3/4

P(pulling out a red clip and then a green clip) = 1/3 × 3/4 = 3/12 = 1/4

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

2x + 3y = 10 → (1)

x + y = 7 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate y

- 3x - 3y = - 21 → (3)

Add (1) and (3) term by term to eliminate y, that is

- x = - 11 ( multiply both sides by - 1 )

x = 11

Substitute x = 11 into either of the 2 equations and evaluate for y

Substituting into (2)

11 + y = 7 ( subtract 11 from both sides )

y = - 4

Solution is (11, - 4 )

Answer:

It will take 11/30(cistern/hour) for the tank to be full

Answer:

Neptune is 2.86 times further away from Saturn.

Step-by-step explanation:

Distance from Neptune to Earth is [tex]4.3\times 10^9\ km[/tex]

Distance from Saturn to Earth is [tex]1.5\times 10^9\ km[/tex]

We need to find how many times Neptune is further away from Saturn. It can be calculated by dividing distance from Neptune to Earth to the distance from Saturn to Earth as follows :

[tex]\dfrac{d_N}{d_S}=\dfrac{4.3\times 10^9}{1.5\times 10^9}\\\\\dfrac{d_N}{d_S}=2.86\\\\d_N=2.86\times d_S[/tex]

It would mean that Neptune is 2.86 times further away from Saturn.

Answer:

Step-by-step explanation:

a.

[tex]20\%\:\\\\20\%\:=\frac{20}{100}\\\\\mathrm{Simplify}\:\frac{20}{100}\\\\=\frac{1}{5}\\\\\frac{1}{5}:\quad 0.2[/tex]

b.

[tex]71\%\:\\\\71\%\:=\frac{71}{100}\\\\=\frac{71}{100}\\\\\frac{71}{100}:\quad 0.71[/tex]

c.

[tex]75\%\:\\\\75\%\:=\frac{75}{100}\\\\\mathrm{Simplify}\:\frac{75}{100}\\\\=\frac{3}{4}\\\\\frac{3}{4}:\quad 0.75[/tex]

d.

[tex]62.5\%\\\\= \frac{62.5}{100}:\\\\\quad 0.625\\[/tex]

Answer:

(14,1)

Step-by-step explanation:

You can see with the LKMJ rectangle, it moves over 7 and up 3.

We can do this for STUV and U is originally (7,-2) but moves up and right to the point (14,1)

Answer:

(-4, -1/2)

Step-by-step explanation:

The midpoint between two points (x₁, y₁) and (x₂, y₂) is given by:

((x₁ + x₂)/2, (y₁ + y₂)/2)

So in this case:

((-3 - 5)/2, (3 - 4)/2) = (-8/2, -1/2) = (-4, -1/2)