a trail mix recipe calls for 1/3 pound of mixed nuts, 4/15 pound of raisins and 2/5 pounds of granola. What is the ratio of raisins to mixed nuts in simplest form?

Answers

Answer 1
Answer:

The unsimplified ratio of raisins to mixed nuts in the trail mix is:

4/15 to 1/3


To simplify this, it is easiest to make 1/3 into an equivalent fraction with the denominator 15 by multiplying both the numerator and the denominator by 5.

1 * 5 / 3 * 5 = 5 / 15


If we substitute in this new value, our ratio is:


4/15 : 5/15


Because both of these fractions have the same denominators, we can just compare their numerators, so we can simplify our ratio to be:


4:5


Therefore, your final answer is a 4:5 ratio of raisins to mixed nuts.


Hope this helps!

Answer 2
Answer:

Answer

\text {the ratio of raisins to mixed nuts is}{\boxed {4:5}}


The problem is asking us to determine thew ratio of raisins to mixed nuts in the simplest form.


Solution & detailed explanation

Let's start.


We have two fractions here.

(1)/(3)  \text{and} (4)/(15)


We would need to simplify both of the fractions, the LCM of both fractions is 15.

(1)/(3) \rightarrow (5)/(15)


Since we now have the same denominators we could convert this into a ratio.

4:5


Therefore, the ratio of of raisins to mixed nuts is 4:5


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On Mary's walk she covered the 3-mile distance to the park in one hour. However, the return trip took her one and a half hours. What was her average speed for the round trip?

5x divided by 6 = 20

Answers

We have such equation
(5x)/(6)=20          /*6 (multiply both sides by 6)
5x=20*6
5x=120           /:5   (divide both sides by 5)
x=24 - its the answer

The value of the variable "x" in expression "5x divided by 6 = 20" is 24.

To find the value of the variable "x" in the expression "5x divided by 6 = 20", we use algebraic-techniques.

To separate the variable "x," we multiply both sides of the equation by 6, the denominator of the fraction.

This cancels out the division on the left side, leaving us with 5x on the left side:

⇒ (5x divided by 6) × 6 = 20 × 6,

⇒ (5x/6) × 6 = 20 × 6,

Simplifying the equation:

⇒ 5x = 120

To solve for the variable "x," we divide both sides of equation "5x = 120" by 5:

⇒ (5x) / 5 = 120 / 5,

⇒ x = 24

Therefore, the required value of "x" is 24.

Learn more about Algebraic Expression here

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The given question is incomplete, the complete question is

Find the value of "x" in the expression "5x divided by 6 = 20".

If I multiply the number by itself, I would get 100. What number would it be? How many possible answers are there?

Answers

ok the only answer is 10x10 really easy question really. you just use common sense in a way. but yes the only 1 number (without decimals) you can multiply together to get 100 are 10 and itself.

Sophia walked 6 miles in 90 minutes at bear creek park in eluless, Texas. if she continued at this rate , use a ratio table to determine how many miles she could walk in 60 minutes.

Answers

Answer:

4 miles

Step-by-step explanation:

the data we have is:

  Miles     Minutes

     6      ⇒  90

and the thing we want to know is how many miles she could walk in 60 minutes:

  Miles     Minutes

     6      ⇒  90

     x      ⇒  60

where the x represents the unknown number of miles she will walk in 60 minutes.

we solve this problem using rule of three, for this we multiply cross quantities (6 by 60) and then we must divide by 90:

x = 6*60/90

x = 360/90

x = 4

in 60 minutes she walks 4 miles.

she can walk 4 miles in 60 minutes. 6/105=4 miles
                                                          90/1.5=60 minutes

Y - 11 = 3(x +4)

Write this In slope intercept form

Answers

Y=3x+15. You need to use distributive property and multiply 3 by x and by 4 which equals to 3x + 4 then add to both sides so it cancels out and gets y by itself and 11 + 4 = 14 so it comes out to be y=3x+15

Is -101 any rational or irrational number

Answers

Answer:

It is rational

Step-by-step explanation:

Step 1:  Determine

A number is irrational if it does not terminate.

A number is rational if the number does terminate.

-101 terminates

Answer: It is rational

Answer:  

its a rational number

Which expression is equal to 3(5x - 6) -2(4x + 5)? A) 7x - 1 B) 9x - 1 C) 9x - 13 D) 7x - 28

Answers

3(5x - 6) -2(4x + 5) \n \n 15x - 18 - 8x - 10 \ / \ expand \n \n (15x - 8x) - 18 - 10 \ / \ gather \ the \ like \ terms \n \n 7x - 18 - 10 \ / \ simplify \n \n 7x - 28 \ / \ simplify \n \n

The final result is D) 7x - 28.
3 (5x-6)-2 (4x+5)
1st Distribute the 3 and -2
15x-18-8x-10
Now combine like terms
7x-28 answer D