Laura has 10 1/2 yards of ribbon to make 7 bows.how much ribbon will she need to each bow

Mathematics

2 answers:

Ainat [17]3 years ago

7 0

10.5/7 is all you would need to do to find your answer of 1.5 yards of ribbon per bow.

Andreyy893 years ago

4 0

Well, we can simply divide 10 and 1/2 by 7, that's how many "yards" time 7 goes into 10 and 1/2.

$\bf \cfrac{\quad10\frac{1}{2} \quad }{7}\implies \cfrac{\quad \frac{10\cdot 2+1}{2}\quad }{\frac{7}{1}}\implies \cfrac{\quad \frac{21}{2}\quad }{\frac{7}{1}}\implies \cfrac{21}{2}\cdot \cfrac{1}{7}\implies \cfrac{3}{2}\cdot \cfrac{1}{1}
\\\\\\
\cfrac{3}{2}\implies \stackrel{yards}{1\frac{1}{2}}$

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ch4aika [34]

Answer:

The number that belongs in the green box is equal to 909.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem:
$\displaystyle a^2 + b^2 = c^2$

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 30

b = 3

c = x

Step 2: Find x

Let's solve for the general equation that allows us to find the hypotenuse:

[Pythagorean Theorem] Square root both sides [Equality Property]:
$\displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}$

Now that we have the formula to solve for the hypotenuse, let's figure out what x is equal to:

[Equation] Substitute in variables:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}$