Simplify the ratio 5m:240cm

Answers

Answer 1

Answer:

To simplify the ratio make sure that the units are the same

5m:240cm

Change the meters into centimeters

That's

1m = 100cm

5m = 500cm

So we have

500cm:240cm

500/240

= 25/12

= 25:12

Hope this helps

Answer 2

Answer:

25:12

Step-by-step explanation:

First you have to convert both amounts into the same unit. So;

5m × 100 = 500 cm

We're multiplying by 100 because a metre is 100 times bigger than 1 cm.

This changes the ratio from 5:240 to 500:240, which makes it easier to get to your end result.

Now, find the Highest Common Factor of both 500 and 240 - much like you do when simplifying fractions.

Factors of 240 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240.

Factors of 500 = 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250 and 500.

We then divide both numbers by the HCF, which we've just figured out is 20;

240 ÷ 20 = 12

500 ÷ 20 = 25

And there's your answer, 25:12

Related Questions

The population of China was about 1,360,000,000 people in 2014. Which number best approximates the population as a single digit times a power of 10?

Answers

Answer: 1 * 10^9

Step-by-step explanation:

1*10^9 = 1,000,000,000, which is the closest you can get.

Hope it helps <3

Which of the following options correctly describes the graph below?

Answers

It’s a piecewise function

The option that correctly describes the graph below is A. Piecewise function.

What is a piecewise function?

A piecewise function is a function that reacts in different ways based on the input received at every point in time. This function has different intervals and funtions that apply to the respective domains.

Sometimes, these graphsa re recognized by the three main parts that they have. So, the function that is represented by the graph is the piecewise function.

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Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8). x + y =

Answers

Answer:

  2x -3y = 19

Step-by-step explanation:

For the two points (8, -1) and (2, -5), the two-point form of the equation of a line is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-5-(-1))/(2 -8)(x -8) +(-1)

  y = -4/-6(x -8) -1

  3y = 2x -16 -3 . . . . multiply by 3

  2x -3y = 19 . . . . . . rearrange to standard form

__

The point-slope form is y +1 = 2/3(x -8). It helps to have all the numbers.

Answer:

2x + -3y = 19

Step-by-step explanation:

I promise

Evaluate 3(4-2) what would be the answer to this

Answers

Answer:

6

Step-by-step explanation:

3(4 - 2)

Expand brackets.

3(4) + 3(-2)

12 + - 6

= 6

━━━━━━━☆☆━━━━━━━

▹ Answer

6

▹ Step-by-Step Explanation

Follow PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

3(4 - 2)

3(2)

= 6

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

if f(x)=4ˣ-8 and g(x)=5x+6, find (f-g) (x)

Answers

Answer:

(f-g) (x) is

[tex] {4}^{x} - 5x - 14[/tex]

Step-by-step explanation:

f(x)=4ˣ - 8

g(x)=5x+6

(f-g) (x) is

[tex] {4}^{x} - 8 \: - (5x + 6) \\ {4}^{x} - 8 - 5x - 6[/tex]

The final answer is

[tex] {4}^{x} - 5x - 14[/tex]

Hope this helps you.

Blaine says that the product of a positive integer and a negative integer is always less than either factor. Is he correct? Provide examples or counterexamples to support your answer.​

Answers

Answer:

you go to th harris right cause u literally have the same summer schools answers

Step-by-step explanation:

An evergreen nursery usually sells a certain shrub after 5 years of growth and shaping. The growth rate during those 5 years is approximated by dh/dt = 1.5t + 4, where t is the time in years and h is the height in centimeters. The seedlings are 12 centimeters tall when planted (t = 0). (a) Find the height after t years.

Answers

Answer:

[tex]h(t) = 0.75t^2 + 4t + 12[/tex]

Step-by-step explanation:

The equation given calculates the derivative of the height in relation to the time, that is, the rate of change of the height. To find the equation for the height, we need to integrate this equation:

[tex]dh/dt = 1.5t + 4[/tex]

Multiplying both sides by 'dt', we have:

[tex]dh = (1.5t + 4)dt[/tex]

Using the integral in both sides:

[tex]\int dh = \int (1.5t + 4) dt[/tex]

[tex]h = 0.75t^2 + 4t + h(0)[/tex]

[tex]h = 0.75t^2 + 4t + 12[/tex]

So the height after t years is represented by this equation:

[tex]h(t) = 0.75t^2 + 4t + 12[/tex]

A small grain silo is filled with wheat at the end of each season. If the silo is only half full, how many cubic meters of wheat have been stored? Group of answer choices 339.29 m³ 223.19 m³ 169.65 m³ 113.10 m³

Answers

Answer:

Volume of wheat = 147.26 m³ (check the explanation)

Step-by-step explanation:

The question still lacks some details such as the size of the silo. We will go forward by assuming the size of the silo to aid our calculation. Silos are cylindrical storage structures that range from 3 - 27 m in diameter and 10 - 90 m in height. For the purpose of this question, let's assume that the size of the silo is 5 m (diameter) by 15 m (height).

Let's list out the parameters to be used:

diameter (D) = 5 m; r = D ÷ 2 ⇒ r = 5/2 = 2.5 m,

height (h) = 15 m

Volume of silo = πr²h = π * 2.5² * 15

V (silo) = 294.52 m³

The silo is half full ⇒ ½ * V

Volume of wheat stored is given by half of the silo volume, since the silo is half-full

V (wheat) = ½ * 298.52

V (wheat) = 147.26 m³

1. What is the exact circumference of a circle that has a radius of 10 cm?

Answers

Answer:

62.8318531

10 x 2 = 20 so 20 is the diameter

20 x pi = 62.8318531

Hope this helps

Step-by-step explanation:

The exact circumference of a circle that has a radius of 10 cm is 62.8318531

What is the circumference of the circle?

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

Given that circle that has a radius of 10 cm

The circumference is given by

C = 2πr

  = 2π10

   = 20π

10 x 2 = 20

Therefore, 20 is the diameter

So, 20 x π = 62.8318531

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What would be the most logical first step for solving this quadratic equation?
x2 + 2x- 14 = 6
A. Take the square root of both sides
B. Add 14 to both sides
C. Divide both sides by x
Ο Ο
D. Subtract 6 from both sides

Answers

Answer:

D

Step-by-step explanation:

So that you can have an equation equal to zero to solve for x

Round 0.0008873319 to 2 significant figures

Answers

Answer:

0.00089.

Step-by-step explanation:

The third significant figure is 7 so we round up the 8,

Please help! Question two

Answers

Answer:

4y+6

Step-by-step explanation:

Perimeter is adding up the outside

so.. there are y+y = 2y

y+3 + y+3 = 2y+6

2y+6 + 2y = 4y+6

Hope this helps :)

AC is tangent to circle o at point c. What is the length of AC? ___________ units. diagram below pls help

Answers

Answer:

AC = 4 units

Step-by-step explanation:

[tex] OB = OC = 3 (Radii \:of \:same \:circle) \\

OA = OB + AB = 3 + 2 = 5\\

OA \perp AC.. (tangent\: \perp radius) \\

\therefore m\angle OCA = 90\degree \\[/tex]

By Pythagorean theorem:

[tex] AC^2 = OA^2 - OC^2 \\

= 5^2 - 3^2 \\

= 25-9\\

= 16\\

AC =\pm \sqrt{16}\\

AC = \pm 4[/tex]

Since, side of a triangle can't be negative.

Therefore, AC = 4 units

What is the sign of the product (−4)(2)(−3)(6)? (5 points) Select one: a. Positive, because the products (−4)(2) and (−3)(6) are negative and the product of two negative numbers is positive b. Positive, because the products (−4)(2) and (−3)(6) are positive and the product of two positive numbers is positive c. Negative, because the products (−4)(2) and (−3)(6) are negative and the product of two negative numbers is negative d. Negative, because the products (−4)(2) and (−3)(6) are positive and the product of two positive numbers is negative

Answers

Answer: Option A

Step-by-step explanation:

Which number(s) below belong to the solution set of the inequality? Check all that apply x + 30 < 60 a.300 b.1 c.29 d.30 e.50 f.45

Answers

Answer:

b and c

Step-by-step explanation:

x+30<60 -->x < 60 -30 = 30 --> x < 30

Answer:

B and C

Step-by-step explanation:

We can solve for x in the inequality just like you do when solving algebra equations of an = sign.

x + 30 < 60

x + 30 - 30 < 60 -30

x < 30

"<" means the number on the left is smaller than the number on the right. Both numbers must not be equal to each other.

Since x is smaller than 30, and is not 30,

the only option that is correct is B, 1 and C, 29.

Which of the following best describes the slope of the line below?
A. Zero
B. Positive
C. Negative
D. Undefined

Answers

Answer:

C. Negative

Step-by-step explanation:

We know that

The farther right this line goes the further it goes down.

This is a negative slope.

If this line was directly vertical it would be undefined.

If it was horizontal it would be zero.

Answer:C

Step-by-step explanation:

Y is always decreasing and X increases and Y is always increasing one X is decreasing this is why it’s a negative slope.

A polynomial function can be written as (x + 1)(x + 4)(x – 7). What are the x-intercepts of the graph of this function?
(1,0), (4,0), (7,0)
O(-1,0), (-4,0), (-7,0)
O (1,0), (4,0), (-7,0)
O(-1,0), (-4,0), (7,0)

Answers

Answer:

fourth option

Step-by-step explanation:

Given

f(x) = (x + 1)(x + 4)(x - 7)

To find the x- intercepts let f(x) = 0, that is

(x + 1)(x + 4)(x - 7) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 4 = 0 ⇒ x = - 4

x - 7 = 0 ⇒ x = 7

x- intercepts are (- 1, 0 ), (- 4, 0 ), (7, 0 )

Jason is playing a game. He has two sets of cards. One set has three red cards, numbered 1, 2 and 3. The other set has four green cards, numbered 4, 5, 6 and 8. Jason chooses a red card and a green card at random. He works out his score by adding the numbers on the two cards together. A sample space diagram is drawn below. Work out the probability that Jason gets a score of 9 or more.

Answers

Answer:

1/3

Step-by-step explanation:

There are 12 different sums.

4 of the sums are 9, 9, 10, 11.

All other sums are 8 or less.

p(9 or more) = 4/12 = 1/3

Help please! How would i solve this?

Answers

Answer:

B is correct

Step-by-step explanation:

What is need to be done here is to set up an exponential equation for both scenario.

The exponential equation to set up is as follows;

V = P(1 + r)^t

It looks exactly like an equation used to get the amount on a compound interest after a stipulated number of years.

We have the following definitions;

V is the future value.

P is the present value

r is the rate in percentage

t is the time in years

So, for A, we have;

Kindly note that 4% = 4/100 = 0.04

110,000(1+0.04)^t = 110,000(1.04)^t

For B, we have;

6/100 = 0.06

100,000(1+0.06)^t = 100,000(1.06)^t

Now expected value of B is twice that of A.

The equation that defines this would look like;

100,000(1.06)^t = 2(110,000(1.04)^t)

Find the measure of angle C of a triangle ABC, if: d m∠A = 60°+α, m∠B = 60°−α???

Answers

Answer:

c= 60

Step-by-step explanation:

The value of measure of angle C of a triangle ABC is 60°.

Here,

Given that, in a triangle value of two angles is,

m∠A = 60°+α,  m∠B = 60°−α

We have to find the angle C of a triangle ABC.

What is sum of angle in triangle?

In a triangle, The sum of angles of a triangle is 180°.

Now,

Given that, in a triangle value of two angles is,

m∠A = 60°+α,  m∠B = 60°−α

Let measure of angle C is x°.

Sum of all angle of triangle = 180°

⇒( 60°+α )+ ( 60°−α ) + x° = 180°

⇒ 120° + x° = 180°

⇒ x° = 180° - 120°

⇒ x° = 60°

Hence, The value of measure of angle C of a triangle ABC is 60°.

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The figure below shows a line graph and two shaded triangles that are similar:
-20-16-12-8-40
-1
4 8 12 16 20
Which statement about the slope of the line is true?
The slope from point o to point A is one-fourth times the slope of the line from point A to point B.
The slope from point o to point A is four times the slope of the line from point A to point B.
Olt is throughout the line
It is -4 throughout the line.

Answers

Answer:

It is - [tex]\frac{1}{4}[/tex] throughout the line

Step-by-step explanation:

The points O, A and B lie on the line and so the slope will be the same for OA, OB and AB

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = B(- 12, 3) and (x₂, y₂ ) = O(0, 0)

m = [tex]\frac{0-3}{0+12}[/tex] = [tex]\frac{-3}{12}[/tex] = - [tex]\frac{1}{4}[/tex]

Thus the slope is - [tex]\frac{1}{4}[/tex] throughout the line.

Identify the property that justifies the following statement: I will make you a brainllest.

Answers

Answer:

reflexive property of simliarity

Step-by-step explanation:

Alice and Bob each have a certain amount of money. If Alice receives $n$ dollars from Bob, then she will have $4$ times as much money as Bob. If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?

Answers

Answer: 31 : 9

Step-by-step explanation:

Assume the following:

Alice's amount = P

Bob's amount = Q

Amount received = n

If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.

P + n = 4(Q - n)

P + n = 4Q - 4n

P = 4Q - 4n - n

P = 4Q - 5n - - - - (1)

If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob

P - n = 3(Q + n)

P - n = 3Q + 3n

P = 3Q + 3n + n

P = 3Q + 4n - - - - - - (2)

Equating both equations - (1) and (2)

4Q - 5n = 3Q + 4n

4Q - 3Q = 4n + 5n

Q = 9n

Express P in terms of n, use either equation (1) or (2)

From equation 2:

P = 3Q + 4n

Substituting Q = 9n

P = 3(9n) + 4n

P = 27n + 4n

P = 31n

Alice's amount = P, Bob's = Q

Ratio = P:Q

31 : 9

Answer:

31:9

Step-by-step explanation:

Let $A$ and $B$ be the amount of money Alice and Bob have, respectively, at the beginning. We know that

\begin{align*}

A + n &= 4(B - n),\\

A - n &= 3(B + n).

\end{align*}

Simplifying, we have

\begin{align*}

A + 5n &= 4B, \\

A &= 3B + 4n.

\end{align*}Subtracting the first equation from the second gives $5n = B - 4n$, so $B = 9n$. Substituting this into the first equation gives $A + n = 4(9n - n)$, from which we get $A = 31n$.

Therefore, the desired ratio is $\frac{A}{B} = \frac{31n}{9n} = \boxed{\dfrac{31}{9}}$.

35% off a phone = £78 how much was the phone before the discount prices?

Answers

Answer:

£120

Step-by-step explanation:

Given that

The price after reduction = £78

So, 65% = £78.

We have to calculate 100 %

To do so, find 5% and multiply that by 20

65% = £78

5% = 78/13 = £6

So, 100% = 6 x 20 = £120

Hope this helps.

Good Luck

Please mark brainiest

Worker A could paint a whole room in 2 hours. Worker B could paint a whole room in 3 hours.
How many parts of the room could both of them paint in 1 hour if worker A and worker B worked together.

Answers

half of room because worker A can paint fast so he will paint fast

Answer:

5/6 of the room would be painted if both of them painted the room together in 1 hour

Step-by-step explanation:

Work done by A in 1hour=1/2

Work done by B in 1hour=1/3

Therefore total work done by both in 1hr=1/2+1/3

LCM of 2 and 3 is 6

therefore 1/2+1/3=3/6+2/6=5/6

Which is a factor of: 2x^2+2x−12 ?

Answers

Answer:

(x - 2) and (x + 3) is a factor of: 2x² + 2x - 12

Step-by-step explanation:

2x² + 2x - 12 given equation

Now divide it by 2 we get,

x² + x - 6

then

x² + x - 6

x² + 3x - 2x - 6

x(x + 3) - 2(x + 3)

(x - 2) (x + 3)

Answer:

2 ( x+3)(x-2)

Step-by-step explanation:

2x^2+2x−12

Factor out 2

2 ( x^2 +x-6)

Factor inside the parentheses

What 2 numbers multiply to -6 and add to 1

3*-2 = -6

3+-2 =1

2 ( x+3)(x-2)

i need help with this i dont understand at all. find the 1st, 2nd, 3rd, 4th and 10th nTh term rule is n+5

Answers

The rule is n + 5

So we have that

an = n + 5

Where n is the term, that said we want the 1st, 2nd, 3rd, 4th and 10th term

a1 = 1 + 5 = 6

a2 = 2 + 5 = 7

a3 = 3 + 5 = 8

a4 = 4 + 5 = 9

a10 = 10 + 5 = 15

some help a homie out in math

Answers

Answer:

1. A pentagonal Pyramid

2. Super Easy, tell me to draw one if you need but i am not gonna give in that much effort right now

rationalize the denominator of
1/3+√2​

Answers

Answer:

(-√2 + 3)/7

Step-by-step explanation:

To rationalize the denominator, we need to multiply by the conjugate:

1/(3 + √2)*(3 - √2)/(3 - √2)

(3 - √2)/(9 - √4)

(3 - √2)/(9 - 2)

(-√2 + 3)/7

Please answer this quickly - just want the answers, explanation not needed!

Answers

Answer:

Step-by-step explanation:

3782
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