What is 24/40 in simplest form??
what is 24/40 in simplest form?? - 1

Answers

Answer 1
Answer: it is 3/5 because 40 divided by 8 is 5, and 24 divided by 8 is 3
Answer 2
Answer:

Final answer:

The fraction 24/40 can be simplified to 3/5 by dividing both the numerator and the denominator by the greatest common divisor, which is 8.

Explanation:

To simplify the fraction 24/40, you have to find the greatest common divisor (GCD), also called the greatest common factor, for 24 and 40. The GCD refers to the largest integer that divides two numbers without leaving a remainder. In this case, the GCD for 24 and 40 is 8.

Now, divide both the numerator and the denominator of the fraction 24/40 by the GCD. This gives us:
24 ÷ 8 / 40 ÷ 8 = 3/5

So, the fraction 24/40 in simplest form is 3/5.

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What is -3 1/3 - -5 2/3

Hamburgers cost $2.50 and cheeseburgers cost $3.50 at a snack bar. Ben has sold no more than $30 worth of hamburgers and cheeseburgers in the first hour of business. Let x represent the number of hamburgers and y represent the number of cheeseburgers. The inequality 2.50x + 3.50y ≤ 30 represents the food sales in the first hour.If Ben has sold 4 cheeseburgers, what is the maximum value of hamburgers Ben could have sold?

Answers

Using the inequality
2.50x + 3.50y ≤ 30
substituting y with the number of cheeseburgers sold
2.5x + 3.5(4) ≤ 30
 x = 6.4
The maximum number of hamburgers he can sell is 6

Answer:

The maximum value of hamburgers is 6

Step-by-step explanation:

Let

x-------> the number of hamburgers

y-----> the number of cheeseburgers

we know that

2.50x+3.50y\leq 30 -------> inequality that represent the situation

For y=4

substitute in the inequality and solve for x

2.50x+3.50(4)\leq 30

2.50x+14\leq 30

2.50x\leq 30-14

2.50x\leq 16

x\leq 6.4

so

The maximum value of hamburgers is 6

The speed of a space shuttle orbiting the earth is 28,325mph.How many miles does the space shuttle travel in 5 days?

Answers

In one day, there is 24 hours, so in 5 days, there is 120 hours.
As you've got this information, you've then got to multiply the two numbers together.
28,325*120= 3399000
Therefore, the space shutt;e travels 3,399,000 miles in 5 days
Hope this helps :)
First to find out the hours times 24 (as there are 24 hours in a day) by the number of days
24x5=120
Then times the hours by the speed
28,325*120=3399000
that will be the amount of miles it will have travelled in the time

If the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its radius is:

Answers

Hey there :)

The equation of a circle is:
( x - h )² + ( y - k )² = radius²

Therefore, in this example,
( x + 4 )² + ( y - 6 )² = 25
25 = radius²
√(radius^2) = √(25)
radius = 5

Final answer:

The equation you provided is a standard form equation for a circle. By comparing it to the general circle equation and taking square root of the constant on the right side, we find that the radius of the circle is 5.

Explanation:

The equation of a circle is typically given in the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

  • Looking at your given equation: (x + 4)² + (y - 6)² = 25, we can see that this fits the general form.
  • The radius r is given by the square root of the number on the right side of the equation. In this case, it equals to √25 which is 5.

Therefore, the radius of the circle is 5.

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Your model locomotive is 16 inches long. It is an exact model of a locomotive that is 40 feet long. A window on the locomotive is how many times wider than a window on the model?

Answers

Here you have to use proportionality,
1 feet is 12 inches so 40 feets is 480 inches
Then the real locomotive is 480/16=30 times wider then the model
And then a window on the real locomotive is 30 times wider then the model..

Answer:

30 times wider than the model

Step-by-step explanation:

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Simplify a - {b - [c - (d - e) - f] - g}.a + b + c - d + e - f + g
a - b + c - d + e - f + g
a + b + c + d + e - f + g
a - b + c - d + e + f - g

Answers

Answer:

a - b + c - d + e - f + g

Step-by-step explanation:

We know that,

(-)(-) = (+),

(-)(+) = (-),

(+)(-) = (-)

(+)(+)=(+)

Now,

Here, the given expression is,

a - \{b - [c - (d - e) - f] - g\}

a-\{b-[c-d+e-f]-g\}

a-\{b-c+d-e+f-g\}

a-b+c-d+e-f+g

Hence, Second option is correct.

 a - {b - [c - (d - e) - f] - g} 
= a - {b - [c - d + e - f] - g} 
= a - {b - c + d - e + f - g} 
= a - b + c - d + e - f + g.
so ur answer is the third one C there all equivalent so the last one is the answer choice so there u go

2y = x + 3 5y = x - 7 What is the solution set of the given system?

Answers

2y = x + 3 then x = 2y - 3
5y = x - 7 then x = 5y + 7

so 
2y - 3 = 5y + 7
2y - 5y = 7 + 3
-3y = 10
y = -10/3
y = -3 1/3

2y = x + 3
2 (-10/3) = x + 3
-20/3 - 3 =x
-29/3 = x
-9 2/3 =x
or
x = -9 2/3

solutions: x = -9 2/3 and y = -3 1/3

Answer: the solution set would be {(-29/3, -10/3)}

Step-by-step explanation: