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3 years ago

11

describe a ratio in words about the coins that compares the whole coin collection to one part of it then write the ratio in at l

east two different ways

2 answers:

Veronika [31]3 years ago

6 0

Answer:

1 Quarter is one fourth of Dollar.

And, 1 Dime is one tenth of Dollar.

Number of Coins in Ben's Bag=15 coins

Number of Quarters=7

So, number of Dimes

=15-7=8

Total amount in Dollars

$=\frac{1}{4}\times7+\frac{1}{10}\times8\\\\=\frac{7}{4}+\frac{8}{10}\\\\=1.75+0.80\\\\=2.55$ $

In Words=Ratio of $2.55 to 7 Quarters that is $1.75 will be ?

Ratio in two different ways

$\rightarrow \frac{2.55\text{Dollars}}{1.75\text{Dollars}}=\frac{51}{35}=\frac{102}{70}$

Ksivusya [100]3 years ago

5 0

There are two parts in the given collection. One contains quarters and other contains dimes.

Let's compare the whole coin collection to the quarters.

One way to represent the ratio is 15 : 7.

The other way is $\frac{15}{7}$

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2x^3-x^2-3x=210<br> the answer is 5 but I want to know why.

mel-nik [20]

Answer:

$x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}$

Step-by-step explanation:

1) Move all terms to one side.

$2x^{3} -x^{2} -3x-210=0$

2) Factor $2{x}^{3}-{x}^{2}-3x-210$ using Polynomial Division.

1 - Factor the following.

$2x^{3} -x^{2} -3x-210$

2 - First, find all factors of the constant term 210.

$1,2,3,4,5,6,7,10,14,15,21,30,35,42,70,105,210$

3) Try each factor above using the Remainder Theorem.

Substitute 1 into x. Since the result is not 0, x-1 is not a factor..

$2*1^{3} -1^{2} -3*1-210=-212$

Substitute -1 into x. Since the result is not 0, x+1 is not a factor..

$2(-1)^{3} -(-1)^{2} -3*-1-210=-210$

Substitute 2 into x. Since the result is not 0, x-2 is not a factor..

$2*2^{3} -2^{2} -3*2-210=-204$

Substitute -2 into x. Since the result is not 0, x+2 is not a factor..

$2{(-2)}^{3}-{(-2)}^{2}-3\times -2-210 = -224$

Substitute 3 into x. Since the result is not 0, x-3 is not a factor..

$2\times {3}^{3}-{3}^{2}-3\times 3-210 = -174$

Substitute -3 into x. Since the result is not 0, x+3 is not a factor..

$2{(-3)}^{3}-{(-3)}^{2}-3\times -3-210 = -264$

Substitute 5 into x. Since the result is 0, x-5 is a factor..

$2\times {5}^{3}-{5}^{2}-3\times 5-210 =0$

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

⇒ $x-5$

4) Polynomial Division: Divide $2{x}^{3}-{x}^{2}-3x-210$ by $x-5$ .

$2x^{2}$ $9x$ $42$

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

$x-5$ | $2x^{3}$ $-x^{2}$ $-3x$ $-210$

$2x^{3}$ $-10x^{2}$

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

$9x^{2}$ $-3x$ $-210$

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

$42x$ $-210$

$42x$ $-210$

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

5) Rewrite the expression using the above.

$2x^2+9x+42$

$(2x^2+9x+42)(x-5)=0$

3) Solve for $x.$

$x=5$

4) Use the Quadratic Formula.

1 - In general, given $a{x}^{2}+bx+c=0$ , there exists two solutions where:

$x=\frac{-b+\sqrt{b^{2} -4ac} }{2a} ,\frac{-b-\sqrt{b^2-4ac} }{2a}$

2 - In this case, $a=2,b=9$ and $c = 42.$

$x=\frac{-9+\sqrt{9^2*-4*2*42} }{2*2} ,\frac{-9-\sqrt{9^2-4*2*42} }{2*2}$

3 - Simplify.

$x=\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}$

5) Collect all solutions from the previous steps.

$x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}$

4 0

3 years ago

Read 2 more answers

Uncle Sam sells cups at a shop. For every cup he sells, he collects 20% of the price of the cup. For every 10 cups that he sells

svlad2 [7]

Answer:

if its uncle sam IT MUST BE A CONSPIRACY!!!

Step-by-step explanation:

UNCLE SAM IS WATCHING

4 0

3 years ago

Robin spent $ 28 at an amusement park For admission and rides. If she paid $6 for admission and rides cost $2 each what is the t

motikmotik

Answer:

11 rides

Step-by-step explanation:

let the total amount be y

and let the number of ride be x

the expression for the situation is y=mx+c

given

total amount=$28

admission fee= $6

cost per ride=$2

we are expected to find x

substitute into the expression we have

28=2x+6

28-6=2x

22=2x

divide boths sides by 2 we have

x=22/2

x=11

the number of rides is 11

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3 years ago

What information does a supply schedule provide?

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Answer:

A

Step-by-step explanation:

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3 years ago

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2. Sam is climbing 2/3 meters every 1/3 of an hour. How many meters does

ICE Princess25 [194]

Answer:

2/9

Step-by-step explanation:

if u multiply 2/3 × 1/3 u get 2/9

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3 years ago