Mr Castle shares out 54 marbles between Emily and jack the ration 5:1How much marbles does each child get?

Answers

Answer 1

Answer: Let's take the number of marbles given to Jack = x
Then, the marbles got by Emily will be 5 times that of Jack i.e. 5x
Then,
5x + 1x = 54
6x = 54
x = $(54)/(6)$

x = 9

So, number of marble Jack got = x = 9
And number of marbles Emily got = 5x = 5 * 9 = 45

Answer 2

Answer: $5x+x=54\n 6x=54\n x=9\n 5x=5\cdot9=45\n$

Emily - 45
Jack - 9

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Bridget needs an actor. Actor A is offering her services for an initial $250 in additionto $50 per day. Actor B is offering her services for an initial $200 in addition to $60
per day. When will the two actors charge the same amount of money?

Answers

$250 + 50x = $200 + 60x

Get like terms on the same side using subtraction
250 -200 + 50x = 60x
50 + 50x - 50x = 60x -50x
50 = 10x now divide by 10 and get 5 days.

Let's check

Day 1 Actor A is $250 + 50 = $300 Actor B = $200 + 60 = $260
Day 2 Actor A is $250 + 100 = $350 Actor B = $200 + 120 = $320
Day 3 Actor A is $250 + 150 = $400 Actor B = $200 + 180 = $380
Day 4 Actor A is $250 + 200 = $450 Actor B = $200 + 240 = $440
Day 5 Actor A is $250 + 250 = $500 Actor B = $200 + 300 = $500

Answer:

The two actors will have the same amount of money in 5 days.

Step-by-step explanation:

True or False: Certain irrational numbers can be written as fractions

Answers

Answer:

False

Step-by-step explanation:

It can be written as a decimal but not a fraction cause it will always terminate or repeat

Final answer:

The claim that certain irrational numbers can be written as fractions is false. Irrational numbers cannot be expressed as fractions while rational numbers can be. The statement is false.

Explanation:

By definition, irrational numbers cannot be written as fractions. Irrational numbers are numbers that, when time in a decimal form, neither terminate nor repeat. Examples of irrational numbers include sqrt(2) and π. On the other hand, fractions or rational numbers always terminate or repeat when written as a decimal.

Learn more about Irrational Numbers here:

brainly.com/question/36897609

#SPJ3

What is this equation in slope intercept form?
-4x + 3y = 2

Answers

Since the formula you are looking for is y=mx+b that means you have to leave the y alone. Your first step is to move the -4 to the other side which means your new equation is 3y=4x+2. Now you want to leave the y alone so what you have to do is divide everything by 3 so that would be y=4/3x+2/3.

1. Place y variable on one side:

3y = 2 + 4x

2. Simplify to make y variable one.

y = 2/3 + 4/3 x

3. Rearrange in the form Y = mX + c, where c is the y intercept and m is the slope.

y = 4/3 x + 2/3

Thus, slope is 4/3 and y intercept is 2/3

How much compound interest is earned on $4300 at 2.9% interest for 10 years, compounded quarterly?

Answers

The final sum of money will be $13492, and earnings will therefore be $9192.

Using coal, steam, and _____, the fischer-tropsch procedure converts coal into a liquid fuel.

Answers

Answer:

Using coal, steam, and OXYGEN, the fischer-tropsch procedure converts coal into a liquid fuel.

Step-by-step explanation:

A series of chemical reactions in which hydrogen and carbon monoxide converges into liquid hydrocarbons by using a metal catalyst. This process is called The Fischer-Tropsch process.

Converting Coal into Liquid Fuel is know as Coal liquification.

IN Liquification process Oxygen, heat is used.

Therefore steam is for heat and oxygen to covert coal into liquid fuel.

Arrange the list of numbers in increasing order.Three fractions, arranged from left to right, separated by commas. Begin fraction three over five end fraction. Begin fraction five over nine end fraction. Begin fraction four over seven end fraction.
3/5 5/9 4/7

A.Three fractions, arranged from left to right, separated by commas. Begin fraction three over five end fraction. Begin fraction four over seven end fraction. Begin fraction five over nine end fraction.
3/5 4/7 5/9

B.Three fractions, arranged from left to right, separated by commas. Begin fraction five over nine end fraction. Begin fraction four over seven end fraction. Begin fraction three over five end fraction.
5/9 4/7 3/5

C.Three fractions, arranged from left to right, separated by commas. Begin fraction four over seven end fraction. Begin fraction three over five end fraction. Begin fraction five over nine end fraction.
4/7 3/5 5/9

D.Three fractions, arranged from left to right, separated by commas. Begin fraction three over five end fraction. Begin fraction five over nine end fraction. Begin fraction four over seven end fraction.
3/5 5/9 4/7

Answers

The right answer for the question that is being asked and shown above is that: "C.Three fractions, arranged from left to right, separated by commas. Begin fraction four over seven end fraction. Begin fraction three over five end fraction. Begin fraction five over nine end fraction."

Answer:

What he said ⬆️

Step-by-step explanation:

Ta-Da

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