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Soloha48 [4]
1 year ago
15

Luca cut 5 shelves of equal length using 1/2 of a yard of wood. How long was each shelf?

Mathematics
1 answer:
WITCHER [35]1 year ago
3 0

Each shelf was 1/10 of a yard long.

<h3>What are Arithmetic operations?</h3>

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

<h3>What is the fraction?</h3>

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

Given that Luca cut 5 shelves of equal length using 1/2 of a yard of wood

There were 5 shelves.

1/2 divided by 5

⇒ (1/2)/5

⇒ (1/2)/(5/1)

⇒ (1/2)(1/5)

⇒ 1/10  

Hence, each shelf was 1/10 of a yard long.

Learn more about the fraction here:

brainly.com/question/10354322

#SPJ1

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The sum of three consecutive integers is 114. what are the three integers?
RSB [31]

Answer: 37, 38, and 39

Step-by-step explanation: This problem states that the sum of 3 consecutive integers is 114 and it asks us to find the integers.

3 consecutive integers can be represented as followed.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒ <em>third integer</em>

<em />

Since the sum of our 3 consecutive integers is 114, we can set up an equation to represent this.

X + X + 1 + X + 2 = 114

We can simplify on the left side by combining the X's and the numbers.

3x + 3 = 114

      -3     -3   ← <em>subtract 3 from both sides of the equation</em>

3x = 111

÷3    ÷3   ← <em>divide both sides of the equation by 3</em>

<em> </em>X = 37

X ⇒ <em>first integer   = 37</em>

X + 1 ⇒ <em>second integer   = 38</em>

X + 2 ⇒ <em>third integer   = 39</em>

<em />

<em>Therefore, our 3 consecutive integers are 37, 38, and 39.</em>

5 0
3 years ago
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A system of equations is shown below. Which of the following statements describes the graph of this system of equations in the (
ollegr [7]

The given system of equations represent a single line with positive slope. So option C is correct.

<u>SOLUTION: </u>

Given system of equations are

\begin{array}{l}{3 y-5 x=15 \rightarrow(1)} \\\\ {6 y-10 x=30 \rightarrow(2)}\end{array}

Now, if we observe, (1) \times 2 \rightarrow(2) multiplying the 1^{st} equation with 2 results in 2^{nd} equation.

which means the two line equations represents the same line.

Now, let us find the slope of line, \text { slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-3}{-5}=\frac{3}{5}=\text { positive slope }

So, the line has a positive slope.

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Step-by-step explanation:

since we are rounding to the nearest whole number, our answer will use ±0.5

as we are calculating upper bound, we will add 0.5 to the original weight, so the answer is 98.5 kg

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Step-by-step explanation:

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