The product of two ratio rational numbers is 48/5. If one of the rational number is 66/7, find the other rational number.

Answers

Answer 1

Final answer:

The other rational number is 384/7.

Explanation:

To find the other rational number, we can set up a proportion by setting the two ratios equal to each other. The given ratio is 66/7, and the product of the two ratios is 48/5.

Let the other rational number be represented by w. Writing the proportion, we have:

66/7 = w/(48/5)

Cross multiplying and solving for w:

w = (66/7) * (48/5)

w = 8*48/7

w = 384/7

Hence, the other rational number is 384/7.

Related Questions

What two square numbers have a difference of 55

Answers

27 & 28 is the answer to your question.

steps for solving 3x+18=54 are shown explain how step 1 helps solve the equation.

Answers

its c or b but i believe its c

Answer:

Option C is correct

Subtracting 18 from both sides isolates the variable term

Step-by-step explanation:

Given an equation:

[tex]3x+18 = 54[/tex]

Subtract 18 from both sides we get;

Step 1.

[tex]3x+18-18 = 54-18[/tex]

Simplify:

Step 2.

[tex]3x = 36[/tex]

Divide both sides by 3 we have;

Step 3.

[tex]\frac{3x}{3}=\frac{36}{3}[/tex]

Simplify:

Step 4.

x = 12

Therefore, Subtracting 18 from both sides isolates the variable term in step 1 helps to solve the equation.

Write ratio for each situation for 310 heartbeat per 5 minutes

Answers

310:5? The most simplified is 62:1 but I might need a bit more information.

A ratio:

Variable A:Variable B

In this case it would be

Heartbeat:Minutes

Or,

310:5

Which could be simplified by dividing both sides by 5

310/5 : 5/5

62:1

Question for you people.

What is 13 + c = -9(btw it's a negative 9)

Answers

I believe that c would equal -22

Hope this helps!

c =-22 because it c has to be a negative. so negative 22 plus positive 13 is -9

A restaurant used 8 5/6 pounds of rice on Monday and 5 1/6 pounds of rice on Tuesday. How many more poundsof rice was used on Monday than on Tuesday?

Answers

The answer is 3 and 2/3.

3 4/6 = 3 2/3 Subtract 8 5/6 from 5 1/6 and you will get your answer

Subtract.

16−(−713)

Enter your answer, as a mixed number in simplest form, in the box.

Answers

Is it 729 lol why would you put it as mixed number

-697 becuase you would do 16+-713

Someone smart please

Answers

It's times 3 you were right

k=5/9(f-32)+273.15
Solve for f

Answers

k = -274.19f is the answer think to the problem

Answer:

f = 1.8

K = − 459.67

I just gave the answer for K for fun. Not sure if this is correct though :)

round 89678 to the nearest ten thousand

Answers

90000 because 9 rounds up to 10, and so 89 rounds up to 90.

100,000 be 8 is closest to 10. 1-4 you round down. 5-10 you round up

The area of circle B is 36 times greater than the are of circle A. If the radius of circle B is 12 feet, what is the radius of circle A?

A)2 feet
B)4 feet
C)6 feet
D)36 feet

Answers

C would be the correct one

The science department buys microscopes every 5 years, safety goggles every 4 years, and test tubes every 2 years. They bought all three items this year. In how many years will they have to buy all three items again.

Answers

in 20 years they will buy all three items again

11 because I have to add all the years/number up

Is 5.8 greater than fifty eight hundredths

Answers

true. 5.8 is fifty eight TENTHS

Yes 5.8 is bigger than 0.58, because there is a 5 in the ones place and in 0.58 there is a 0 resulting in 5.8 being the bigger number.

What property did Ramon use? 150+214+89=214+89+150

Answers

This is the communicative property. This means you just move the numbers around, but the result will be he same as long as you’re ADDING

Final answer:

Ramon used the Commutative Property of Addition in the equation 150+214+89=214+89+150. This property indicates that the order in which numbers are added doesn't affect the result.

Explanation:

In the given equation, 150+214+89=214+89+150, Ramon is using an important property of addition known as the Commutative Property. The Commutative Property of Addition states that the order in which numbers are added does not change the sum. For example, if we have two numbers, 5 and 3, adding them in any order (5+3 or 3+5) will always give us the same result, which is 8. Hence, in this question, whether you add 150, 214 and 89 in the given order or reverse, the sum remains the same. Therefore, you can see how Ramon made use of the Commutative Property to rearrange the numbers while still keeping the total sum the same.

Learn more about Commutative Property

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what is the highest point from turpan pendi china -154m and mt Everest 8850m

Answers

you cannot have negative distance, and so - 154 is really +154, only in the other direction. (your just starting more behind, and traveling to the same point)

So 154 + 8850 = 9004

9004m is your answer

hope this helps

What is the difference between earth's highest mountain and its deepest ocean canyon?what is the difference between mars highest mountain and its deepest canyon?Which difference is greater?How much greater is it?

Answers

Earth's Highest Mountain: Mount Everest = 29,029 ft
Earth's Deepest Ocean Canyon: Challenger Deep = - (-)36,070 ft
Total Difference ----------------------------------------------------- 65099 ft

Mars' Highest Mountain: Olympus Mons = 69,650 ft Mars' Deepest Ocean Canyon: Valles Marineris = - (-) 23000 ft
Total Difference ----------------------------------------------------- 92650 ft

ANSWER: Mars has greater difference of Highest Mountain - Deepest Ocean Canyon. It differ with that of Earth's by 27, 551 ft

What is another way to refer to ∠EFG ?
A.∠E
B.∠G
C.∠GFE
D.∠FGE

Answers

C.∠GFE Is the answer.

The answer is C: ∠GFE

on a shopping trip gill spends 1/3rd of his money in store A then he spends 1/3 of money he has left in store B. Finally he spends his remaining $12 in store C. How many dollars did he have at the start?

Answers

Answer:

$18

Step-by-step explanation:

Let the money he had at the start be $x

Store A = 1/3 of $x = $ x/3

Remaining = $ x/1 - $x/3 = $ 2x/3

He spends remaining $12. So,

2x/3 = 12

2x = 36

x= $18(Answer)

The sum of 5 consecutive integers is 270

Answers

The 5 (FIVE) consecutive integers are: 52, 53, 54, 55, and 56 .
______________________________________________________
The expression is written as:
________________________________________________
x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 270 ;
________________________________________________
in which the 5 (FIVE) consecutive integers are:
________________________________________________
x, (x + 1), (x + 2), (x + 3), (x + 4) .
________________________________________________
To find the 5 (FIVE) consecutive integers, we solve for "x" , and the plug in the the value of "x" for the expressions of the other integers.
________________________________________________
We have:
________________________________________________
x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 270 ;
________________________________________________
Rewrite as:
________________________________________________
x + x + 1 + x + 2 + x + 3 + x + 4 = 270 ;
________________________________________________
Combine the "like terms" on the "left-hand side" of the equation:
________________________________________________
x + x + x + x + x = 1x + 1x + 1x + 1x = 1x = 5x ;

1 + 2 + 3 + 4 = 10 ;
________________________________________________
→ 5x + 10 = 270 ;

Subtract "10" from each side of the equation;

5x + 10 − 10 = 270 − 10 ;

to get:

5x = 260 ;

Divide EACH SIDE of the equation by "5" ;

5x / 5 = 260 / 5 ;

to get:

x = 52 ;
____________________________________
x = 52 ;

x + 1 = 52 + 1 = 53 ;

x + 2 = 52 + 2 = 54 ;

x + 3 = 52 + 3 = 55 ;

x + 4 = 52 + 4 = 56 ;
___________________________
The 5 (FIVE) consecutive integers are: 52, 53, 54, 55, and 56 .
________________________________________________
Let us check our answer:
________________________________________________
52 + 53 + 54 + 55 + 56 =? 270 ?
________________________________________________
52 + 53 = 105;

105 + 54 = 159 ;

159 + 55 = 214 ;

214 + 56 = 270 ;

→ 52 + 53 + 54 + 55 + 56 =? 270 ? Yes!
_______________________________________

Solve the equation. 3|3k| = 27

A.) {-9, 9}

B.) {-3, 3)

C.) {-3, 9}

D.) -3 < k < 3

Answers

The answer is B. -3, 3
This is why:
3|3*3| = 27
3|9| = 27
3*9 = 27
The same will happen with -3 since this | means the distance from the number to zero and in this case it is 3 units til you reach zero. So the answer is B. 3, -3

By applying basic property of modulus function we got value of k as 3 and -3

What is modulus function ?

Modulus function gives magnitude of a number . It's represented by |x|

Given equation

[tex]3|3k|=27\\[/tex]

we can simplify this equation as

[tex]|3k|= \frac{27}{3}\\\\|3k|=9[/tex]

As 3 is a positive number we can take it out from modulus as it is

[tex]3|k|=9\\\\|k| = \frac{9}{3}\\\\|k|=3[/tex]

As we know modulus function gives magnitude of a number so can k can be 3 and -3

By applying basic property of modulus function we got value of k as 3 and -3

To learn more about modulus function visit : https://brainly.in/question/34804932

Solve the following quadratic trig equations algebraically (without graphing technology) for the domain 0 ≤ x ≤ 360°. Use exact solutions whenever possible. 6cos2(θ) + cos(θ) - 1 = 0 2 - 2sin2(θ) = cos(θ)Solve the following quadratic trig equations algebraically (without graphing technology) for the domain 0 ≤ x ≤ 360°. Use exact solutions whenever possible. A. 6cos2(θ) + cos(θ) - 1 = 0 B. 2 - 2sin2(θ) = cos(θ)

Answers

I may be wrong, but I believe this would be the answer:
6cos^2(θ) + cos(θ) - 1 = (2cos(θ) + 1)(3cos(θ) - 1) = 0

cos(θ) ∈ {-1/2, 1/3}

cos(θ) = -1/2 ⇒ θ ∈ {2π/3, 4π/3}

cos(θ) = 1/3 ⇒ θ ∈ {Arccos(1/3), 360° - Arccos(1/3)} ≈ {70.53°, 289.47°}

2cos²(θ) - cos(θ) = cos(θ)(2cos(θ) - 1) = 0 ⇒

cos(θ) ∈ {0, 1/2} ⇒ x ∈ {60°, 90°, 270°, 300°}
Hope this helped and have a great day!

The volume of 1000 drops of a liquid is 0.1 fluid ounce.
What is the volume of 10,000 drops?

Answers

1 fluid ounce

1000= 0.1

when you add zeros you move the decimal point over to the left making it

10,000= 1fluid ounce

Final answer:

To find the volume of 10,000 drops, if 1000 drops equal 0.1 fluid ounce, we multiply the volume by 10 to get 1.0 fluid ounce.

Explanation:

The volume of 10,000 drops of a liquid, when 1000 drops is equivalent to 0.1 fluid ounce, can be calculated using a simple ratio. If 1000 drops equal 0.1 fluid ounce, then we can multiply both the number of drops and the volume by 10 to find the volume of 10,000 drops:

1000 drops = 0.1 fluid ounce

10,000 drops = 1.0 fluid ounce (since 0.1 fluid ounce x 10 = 1.0 fluid ounce)

Therefore, the volume of 10,000 drops is 1.0 fluid ounce.

Given: 5x+3> 4x+7 Choose the graph of the solution set

Answers

Answer:

First solve the inequality to determine the solution set. Solving the inequality we have

[tex]5x+3>4x+7[/tex]

[tex]5x-4x>7-3[/tex]

[tex]x>4[/tex]

Then, the solution set is [tex]\{x\in \mathbb{R}\lvert x>4\}=(4,\infty)[/tex]. The solution is the interval [tex](4,\infty)[/tex] and it can be represented by the following graph.

Step-by-step explanation:

Answer:

x > 4 is a solution to the given inequality.

Step-by-step explanation:

We are given an inequality in the question.

[tex]5x+3> 4x+7[/tex]

We have to graph this inequality.

In order to graph this inequality, we first solve the inequality.

Solution to inequality:

[tex]5x+3> 4x+7\\5x>4x + 7-3\\5x>4x+4\\5x-4x>4\\x>4[/tex]

In interval form we can write the solution as:

[tex]x \in (4, \infty)[/tex]

The attached image shows the graph for the given inequality.

The dotted line on the graph shows that the points on the line does not belong to the solution set.

All the points in the red shaded region is a solution he given inequality.

The formula PV=300R is used in chemistry. How can this formula be solved for P?

Answers

Just divide V to both sides giving you P= 300P/V

By dividing V into both sides.

What are the rules of simplification?

Almost usually, simplifying the problem is the initial step in solving an algebraic equation. To simplify an equation is to reduce it to its most basic form in order to make it simpler to comprehend and solve. It necessitates an easy-to-follow, step-by-step approach that is frequently straightforward. The following are some typical techniques for reducing the complexity of algebraic equations:

combining similar words

Expansion of equations with the Distributive Property by factoring

Factorizing

Division or amplification of words.

Given an equation PV = 300R which is used in chemistry for calculating pressure and volume. in problem asked to solve for P so for solving for P we have to divide the formula with V.

PV = 300R

divide by V into both sides.

P = 300 R/V.

Learn more about simplification here:

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Name the three labeled segments that are parallel to EF

Answers

Letter b. Segment AB, Segment CD, and Segment GH.
Hope this helps!

Answer:B.) AB, CD, GH.

Step-by-step explanation:

To cover A rectangle region of her yard penny needs atleast 170.5 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region? Write an inequality and solve. I know the answer is 11, but how would you write the inequality?

Answers

The area needed is at least 170.5 ft².

Let w = the width of the rectangular area.
Because the length is 15.5 ft, therefore the calculated area should be at least 170.5 ft². That is
(15.5 ft)*(w ft) ≥ 170.5 ft²
w ≥ 170.5/15.5
w ≥ 11 ft

Answer: w ≥ 11 ft

By graphing the system of constraints, find the values of x and y that maximize the objective function.
x+y≤8
2x+y≤10
x≥0
y≥0

Can someone explain to me how to solve this/these types of problems? Don't just answer it, explain.

Answers

The easiest method to solve problems like this is to graph the inequalities given and shade the regions that make them true. When you have properly shaded all of the regions, you will find that you have a region which is bounded on all four sides by one of the inequalities, and then you can find the x and y values which correspond to the vertices of the shaded region.

You didn't provide a function that you are trying to maximize in this example, but the idea is that you take all of the (x,y) points which correspond to the vertices and plug them into your objective function. The one which produces the largest value maximizes it (it is a similar process for minimizing it, but you'd be looking for the smallest value). Let me know if you need more help than that, or would like me to work out the example you have provided (I will need an objective function for it though).

answer a,b, and c please

Answers

a.
Expenses: $3.38 + $5.57 = $8.95
Sale price: $15.99
Profit = sale price - expenses = 15.99 - 8.95 = 7.04
7.04/15.99
7/16

b. 7.04/15.99 = 0.44

c. 223.86/15.99 = 14
She sold 14 necklaces.

Profit: $14 * 7.04 = $98.56

What is 6y=-3x+24 in Standard Form? If you could show your work, that’d be great!

Answers

Hope that helped;).

3/12 = y/8 solve for y

Answers

2 is the answer for y

Answer:

y = 2

Step-by-step explanation:

3/12 = y/8

=> y/8 = 3/12

=> y/8 = 1/4

=> y = 8/4

=> y = 2

awesome car company sold 20 cars this week. their goal is to sell at least 25% more next week. write an inequality that represents their goal.

Answers

20 cars < 25%. I hope this helped :)

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