All categories

2 years ago

Find two consecutive integers whose sum is 113

Mathematics

2 answers:

shtirl [24]2 years ago

8 0

Answer: 56 and 57

Step-by-step explanation:

Integers are whole numbers

Consecutive means right before or after something (back to back). (For example 4 and 5; x and y)

Sum is the answer to an addition problem.

So 56 and 57 are integers, consecutive numbers, and when added, equal 113!

pychu [463]2 years ago

3 0

X + X + 1 = 113

2x + 1 = 113

2x = 112

X = 56

X + 1 = 57

Therefore, our two consecutive integers are 56 and 57.

You might be interested in

Iliana was part of a group that was working on changing 0.4 repeated to a fraction. Each member of the group had a different ans

amm1812

$\bf 0.444444444\overline{4}\impliedby \textit{and keeps on going}\\\\
-------------------------------\\\\
\textit{let's say }\boxed{x=0.444444444\overline{4}}\quad \textit{ thus }10\cdot x=4.44444444\overline{4}
\\\\\\
\textit{wait a minute! }4.44444444\overline{4}\textit{ is really just }4+0.444444444\overline{4}$

$\bf \textit{but we know }x=0.444444444\overline{4} \textit{ so then }4+0.444444444\overline{4}=\boxed{4+x}
\\\\\\
\textit{wait a second! }10\cdot x\implies 10x=4.444444444\overline{4}=4+x
\\\\\\
thus\qquad 10x=4+x\implies 10x-x=4\implies 9x=4\implies \boxed{x=\cfrac{4}{9}}$

you can check in your calculator.

anyhow, to get the "recurring decimal to fraction", you start by setting to some variable, "x" in this case, then move the repeating part to the left of the point by multiplying it by some power of 10, and then do the equating.

3 0

3 years ago

Read 2 more answers

Is the sequence geometric? If so, identify the common ratio. 6, 12, 24, 48, ...

Artist 52 [7]

Yes. It is a Geometric sequence!
Common ratio = a2/a1 = 12/6 = 2

In short, Your Answer would be Option A

Hope this helps!

5 0

3 years ago

The ratio of forks to spoons in the cafeteria is 15:25. If the total

9966 [12]

Answer:

30 forks

Step-by-step explanation:

Let's start by simplifying the given ratio. Since both 15 and 25 are multiples of 5, we can divide the whole ratio by 5.

Forks: spoons

= 15: 25

= 3: 5

This means that forks take up 3 units of the total number of utensils, while the number of spoons is 5 units of the total number of utensils.

Number of forks= 3u

Number of spoons= 5u

Units shall be represented by the letter u from this point forth.

Now, we can form an equation using the total number of utensils in the cafeteria.

Assuming that the utensils in the cafeteria are only forks and spoons,

number of fork and spoons= 80

3u +5u= 80

8u= 80

Let's solve for u.

Divide by 8 on both sides:

1u= 80 ÷8

1u= 10

This means that 1 unit represents 10 utensils.

Substitute the value of u into the expression of the number of forks:

Number of forks

= 3u

= 3(10)

= 30

Thus, there are <u>30 forks</u> in the cafeteria.

8 0

2 years ago

A flowchart proof

Whitepunk [10]

Answer: uses a visual representation of the logical flow of steps needed to reach a conclusion.

Step-by-step explanation:

A flowchart proof is a visual representation that is made of boxes with which arrows are used to show the flow of steps which take place. It uses a visual representation of the logical flow of steps needed to reach a conclusion.

The true facts which are the statements, will be placed in the boxes that are drawn. The arrows in flowchart proof shows the progression of statements made.

4 0

3 years ago

Having some trouble with this...pls help (in fraction form)

Yuri [45]

Answer:

$\frac{17}{6}$ or $2\frac{5}{6}$