ratio =240cm to 400cm​

Answer:

y = 0.5m - 5

Step-by-step explanation:

the equation of a line can be written as

y = mx + b, with x being the input and y the output

let's plug in our two values.

-2 = m(6) + b

-2 = 6m + b

-5 = 0m + b

-2 = 6m+b

-5 = b

plug -5=b into the first equation

-2 = 6m - 5

add 5 to both sides

3 = 6m

divide both sides by 6

0.5 = m

our function is now

y = 0.5m - 5

Answer:

Step-by-step explanation:

Take 20 and 50.

20 * 50 = 1000.

We have the 2 zeros in 20 and 50 , also 2 * 5 = 10, making 3 zeroes.

Answer:

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

56

1

So now that we've converted 56 into a fraction, to work out the answer, we put the fraction 7/8 side by side with our new fraction, 56/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

7 x 56

8 x 1

=  

392

8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 392 and 8 is 8.

We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.

392/8 = 49

8/8 = 1

When we put that together, we can see that our complete answer is:

49

1

The complete and simplified answer to the question what is 7/8 of 56 is:

49

Hopefully this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.

Step-by-step explanation:

Answer:

forty nine

Step-by-step explanation:

convert 56 into a fraction (56/1) then multiply 7/8 × 56/1. it equals out to 392/8. then find the GCF of 392 and 8, which is 8. now divide boht the new numerator and denominator by 9 to simplify it to lowest terms. 49 is the answer

Answer:

The prime number is only 11

11 is the only one i seee

Answer:

[tex](0,20),(1,16),(2,12)[/tex]

Step-by-step explanation:

[tex]We\ are\ provided\ with\ the\ equation:\\4x+y=20\\In\ order,\ to\ find\ solutions\ to\ a\ linear\ equation\ in\ two\ variables,\ we\\ usually\ substitute\ a\ value\ to\ either\ the\ abscissa or\ the\ ordinate\ to\ get\\ the\ corresponding\ ordinate\ or\ the\ abscissa.\\Hence,\\Here,[/tex]

[tex]Let's\ plug\ in\ simpler\ value's\ of\ 0,1,2\ as\ the\ x-co-ordinate\ to\ obtain\ it's\\ y-coordinate.\\Hence,\\Coming\ back\ to\ our\ equation:4x+y=20\\Substituting\ x=0,\\4*(0)+y=20\\y=20\\Hence,\\x=0,y=20\ or\ (0,20)\ is\ a\ solution\ of\ the\ equation.[/tex]

[tex]Substituting\ x=1,\\4*(1)+y=20\\4+y=20\\y=20-4=16\\Hence,\\x=1,y=16\ or\ (1,16)\ is\ also\ a\ solution\ of\ the\ equation.[/tex]

[tex]Substituting\ x=2,\\4*(2)+y=20\\8+y=20\\y=20-8=12\\ Hence,\\x=2,y=12\ or\ (2,12)\ is\ a\ solution\ of\ the\ equation\ too.[/tex]

[tex]Hence,\ collecting\ all\ the\ solutions\ of\ the\ equations:\\(0,20),(1,16),(2,12)\ are\ all\ solutions\ of\ the\ given\ equation.\\[/tex]

Answer:

K= 15

Step-by-step explanation:

K/-3 +3 = -2

Simplify by subtracting 3 on each side:

K/-3 = -2-3

K/-3 = -5

Simplify further by multiplying each side by -3:

K= -5*-3

K = 15

Answer:

She spent $75.48

Step-by-step explanation:

multiply the price per meter by the amount of meters she purchased.

Answer:

What do you mean?

Step-by-step explanation:

Here is the answer:

75 - 40 = t

Brainliest pls

Answer:

75=T+40

35

Step-by-step explanation:

75=T+40 subtract 40 from both sides and we get 35

Answer:

After 1 month, they will have same heights.

Step-by-step explanation:

Calvin is comparing the growth of two plants.

Plant A started at a height of four inches and grows two inches each month.

h'=4+2m

where

h' is height of plant after m months.

Plant B grew according to this equation, h = 4m + 2, where h, is the height after m, months.

We need to find at what month the plants have the same height. ATQ.

h = h'

4+2m = 4m + 2

Taking like terms together,

4-2 = 4m-2m

2=2m

m = 1

Hence, after 1 month, the plants will have same height.

Answer:

[tex]z = 1 - \sqrt{3} i \\ {z}^{3} = (1 - \sqrt{3} i) ^{3} \\ =(1 - \sqrt{3} i)(1 - \sqrt{3} i)(1 - \sqrt{3} i) \\ open \: brackets \\ = (1 - 2 \sqrt{3} i + ( { \sqrt{3} i})^{2} )(1 - \sqrt{3} i) \\ but \: {( \sqrt{3}i) }^{2} = - 3 \: since \: {i}^{2} \: is \: - 1 \: in \: complex \: numbers \\ = (1 - 2 \sqrt{3} i - 3)(1 - \sqrt{3} i) \\ = ( - 2 - 2 \sqrt{3} i)(1 - \sqrt{3} i) \\ = ( - 2 + 2 \sqrt{3} i - 2 \sqrt{3} i + 2( { \sqrt{3} i)}^{2} ) \\ = - 2 - 6 \\ = - 8[/tex]

Answer:

A

Step-by-step explanation:

Edge 2023

Answer:

a = 12

b = 2

c = 11

Step-by-step explanation:

[tex] \frac{( {x}^{5}y {z}^{4} )^{3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{5 \times 3}y^{3} {z}^{4 \times 3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{15}y^{3} {z}^{12} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{15 - 3} {y}^{3 - 1} {z}^{12 - 1} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{12} {y}^{2} {z}^{11} = {x}^{a} {y}^{b} {z}^{c} \\ \\ equating \: like \: terms \: from \: both \: sides \\ \\ {x}^{12} = {x}^{a} \: \implies \: a = \boxed{ 12}\\ \\ {y}^{2} = {y}^{b} \: \implies \: b = \boxed{ 2} \\ \\ {z}^{11} = {z}^{c} \: \implies \: c = \boxed{ 11}[/tex]

Explanation: Here we have function f(x) = 2x - 5

and we're asked to find f(x - 1).

Don't be thrown off if you're asked to plus a variable into a function.

If f(x) = 2x - 5, then f(x - 1) = 2(x - 1) - 5.

Remember to use parenthses when substituting into a function.

So simplifying on the right side, we would distribute the 2

through the parenthses and we have 2x -2 - 5.

Now combining like terms, we have 2x - 7

Answer :

11.45

step-by-step explantion :

4.25=17/4

when we add 41/5 and 17/4, we get

41×4+17×5/4×5

164+65/20

229/20

11.45

Answer:

$4462.50

Step-by-step explanation:

simple interest =principal × rate × time\100

Answer:

33

Step-by-step explanation:

angles A and B should add up to 180, so A must be 40, and because it is a parallelogram the anlge across from it should also equal 40. 33+7=40.

Answer:

(x+3)(4x−2)  =  4x2+10x−6

(x+2)(x2−3x +4) = x3−x2−2x+8

Step-by-step explanation:

9514 1404 393

Answer:

  360°

Step-by-step explanation:

The sum of exterior angles of any convex polygon is 360°.

There were 40 tourist class passengers and 12 first class passengers.  

Explanation:

Let the number of passengers who booked for tourist class be

=

x

Then, number of passengers who booked for first class

=

52

−

x

According to question,

Total money paid = $25(tourist class)+$30(first class)  

$

1360

=

$

25

(

x

)

+

$

30

(

52

−

x

)

1360

=

25

x

+

1560

−

30

x

1360

−

1560

=

25

x

−

30

x

−

200

=

−

5

x

x

=

−

200

−

5

x

=

40

So, there were 40 tourist class passengers.

Now first class passengers

=

52

−

x

=

52

−

40

=

12

∴

There were 40 tourist class passengers and 12 first class passengers.  

As a check

Total money paid = $25(tourist class)+$30(first class)  

R

H

S

=

$

25

(

40

)

+

$

30

(

12

)

$

1000

+

$

360

=

$

1360

L

H

S

=

$

1360

Hence verified.

Answer:

5 and 6

Step-by-step explanation:

5×2=10 equal to

6×2=12 greater than

Answer:

a

Step-by-step explanation:

sjejeneissbebdejjesj

Answer:

8r^2(r + 2)

Step-by-step explanation:

Factor 8r^3 + 16r^2

= 8r^2(r + 2)

Answer:

56 r

Step-by-step explanation:

8r x 3 + 16 r x 2

24 r + 32 r

56 r

Answer:

D=7

Step-by-step explanation:

SO isolate the variable y dividing 5 on both sides

d=7

Answer: d = 7

Step-by-step explanation:

5d = 35

You have to divide both sides by 5 since we need to isolate the variable 'd' to figure out what d is.

5d ÷ 5 = d

35 ÷ 5 = 7

So d = 7

Answer:

[tex]\displaystyle \int {\frac{1}{\sqrt{x} \sqrt{1-x} } } \, dx = 2arcsin(\sqrt{x}) + C[/tex]

General Formulas and Concepts:

Calculus

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int\limits {\frac{1}{\sqrt{x} \sqrt{1-x} } } \, dx[/tex]

Step 2: Identify

Set up variables for u-substitution and integral trig.

[tex]\displaystyleu = \sqrt{x}\\a = 1\\du = \frac{1}{2\sqrt{x}}dx[/tex]

Step 3: integrate

We are given the expression:                                                                              

[tex]\int\limits {\frac{1}{\sqrt[]{x} }*\frac{1}{\sqrt[]{ 1-x^{2}}} } \, dx[/tex]

U-substitution:                                                                                                      

let u = [tex]x^{1/2}[/tex]             [So, x = u²]

[tex]\frac{du}{dx} = \frac{1}{2\sqrt[]{x}}[/tex]                 [differentiating both sides wrt x]

dx = du*2√(x)

dx = 2u(du)            [Since u = √x]

Finding the Integral:                                                                                              

Plugging these values in the given expression:

[tex]\int\limits {u^{-1}*(1-u^{2})^{-1/2} } \, 2\sqrt[]{x}*du[/tex]

[tex]\int\limits {\frac{1}{u}*\frac{1}{\sqrt[]{ 1-u^{2}}}*2u } \, du[/tex]

The 'u' in the numerator and denominator will cancel out

[tex]\int\limits {\frac{1}{\sqrt[]{ 1-u^{2}}}*2 } \, du[/tex]

Since 2 is a constant

[tex]2\int\limits {\frac{1}{\sqrt[]{ 1-u^{2}}} } \, du[/tex]

Using the property: [tex]\int\limits {\frac{1}{\sqrt[]{1-x^{2}} }} \, dx[/tex] = ArcSin(x) + C

2*ArcSin(u) + C

Since u = √x :

2*ArcSin(√x) + C

Answer:

C. 9d=m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:  

x=5/2,3/2

so 5/2 is the maximum height. (2.5)

Step-by-step explanation: