All categories

3 years ago

7907÷24 with remainder

Mathematics

2 answers:

kompoz [17]3 years ago

8 0

7907 / 24 = 329 with a remainder of 11

liraira [26]3 years ago

7 0

Answer:

7907 divided by 24 equals 329 with a remainder of 11

Step-by-step explanation:

You might be interested in

Which statement is true about the function f(x) = -x?

Nataly [62]

Answer:

The answer is "It has the same domain as the function f(x) = --x".

Step-by-step explanation:

If we consider its parent function that is: y= x

Domain function is: $x \in (0, \infty)$

The range function is: $y \in (0, \infty)$

The function has both the same (domain and range).

6 0

3 years ago

How many sets of three consecutive integers are there in which the sum of the three integers equals their product?

skad [1K]

Answer:

Step-by-step explanation:

since the 3 integers are consecutive, we are dealing with x, x+1, x+2.

and their sum is the same as their product :

x + (x + 1) + (x + 2) = x(x + 1)(x + 2)

3x + 3 = x(x² + 3x + 2) = x³ + 3x² + 2x

x³ + 3x² - x - 3 = 0

this is a polynomial of third degree.

and as such it has 3 solutions.

of course, it could be that some of them are the same or are even in the realm of complex numbers (i = sqrt(-1)), but usually these 3 solutions are different real numbers.

I tried x=1 just to see, and, hey, it is a solution for this equation.

x = 1 means that the other 2 consecutive integers are 2 and 3.

and indeed, 1+2+3 = 1×2×3 = 6.

now it is easier to find the other 2 solutions, as a zero solution can be expressed as a factor of the whole expression.

for x = 1 the factor term is (x - 1), as this term is then turning 0, when x = 1.

I can divide the main expression by this factor and then analyze the quotient about the other 2 solutions.

x³ + 3x² - x - 3 : x - 1 = x² + 4x + 3

- x³ - x²

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

0 4x² - x

- 4x² - 4x

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

0 + 3x - 3

- 3x - 3

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

0 0

so, the original expression can be written as

(x² + 4x + 3)(x - 1).

now we need to find the 2 zero solutions for x²+4x+3

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 4

c = 3

so,

x = (-4 ± sqrt(4² - 4×1×3))/(2×1) =

= (-4 ± sqrt(16 - 12))/2 = (-4 ± sqrt(4))/2 =

= (-4 ± 2)/2 = -2 ± 1

x1 = -2 + 1 = -1

x2 = -2 - 1 = -3

so, we have the additional solutions :

-1 0 1

-3 -2 -1

-1 + 0 + 1 = -1×0×1 = 0

-3 + -2 + -1 = -3×-2×-1 = -6

and there we have it fully proven :

there are 3 different sets of 3 consecutive integers with the same sum as product.

4 0

3 years ago

!!!URGENT!!! I WILL GIVE 100 points<br> Can someone please answer this?

avanturin [10]

Ans hope its the green

but i need better info

4 0

3 years ago

The function y = 50x describes the distance Gary has traveled in miles after x hours. Use the graph to estimate how many miles G

Nana76 [90]

Substitute 8 for x in the function.
y=50(8)=400
He would travel 400 miles

7 0

3 years ago

Read 2 more answers

How do you understand what happens on a fraction number line and how do you know where the fraction is. Tell me how we will be a

frozen [14]

9514 1404 393

Answer:

understand what the fraction means

Step-by-step explanation:

First of all, you need to <em>understand what 2/3 means</em>. It means 1 whole has been divided into 3 equal parts, and you're concerned with 2 of those parts.

In the number line in the first attachment, the space between 0 and 1 has been divided into 3 equal parts. The decimal value (rounded) is shown at each tick mark. The point marked "2/3" is located at the second of those divisions, counting from zero.

The same fraction is located on the same number line in the second attachment. That number line is marked with divisions at intervals of 1/10, so there are 10 of them between 0 and 1. The value 2/3 is represented by the point that is (2/3)(10) = 6 2/3 of those intervals, so is between 0.6 and 0.7 on the number line.

If the number line were divided into 12ths, then the fraction 2/3 would be located at the 8th tick mark, counting from 0. (2/3)(12) = 8 That is shown in the third attachment.

5 0

3 years ago