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densk [106]
3 years ago
14

Andrea has 18 yards of fabric. How many 4-inch pieces can she cut from her original piece?

Mathematics
2 answers:
Mrac [35]3 years ago
6 0

Answer:

162 pieces

Step-by-step explanation:

Andrea has 18 yards

How many 4 inch pieces can she get?

Convert

1 yard = 3 feet

18 yards = 54 feet

1 foot = 12 inches

54 feet = 648 inches

Divide

648 inches ÷ 4 inches =  162 pieces

Hope this helps :)

Arlecino [84]3 years ago
5 0

Answer:

162 pieces

Step-by-step explanation:

a yard = 3 feets and a feet = 12 inches.

therefore a yard  =3*12=36 inches

so,

18 yards = 36 inches *18 = 648 inches.

now, how many 4 inches pieces?

total pieces= total size of  fabric divide by size of piece needed

therefore

total pieces=648/4 = 162 pieces.

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Which equation represents the function on the graph?
Marrrta [24]

Answer:

A. Sin 2x

Step-by-step explanation:

This is a trig function and has the shape of sine or cosine. Since it intersects at (0,0), it is likely a sine graph. A normal sine graph starts at (0,0), crests up at 1, and crosses back down at the x-axis at (3.14, 0). However, this graph starts at (0,0) and crosses back again at half that value. This graph has been horizontally compressed by multiplication of a number greater than 1. So this graph is Sin 2x.

6 0
3 years ago
Find the equation of the line in slope-intercept form.<br> m=− 4 7 through (14, 3
kakasveta [241]

Answer:

The answer to your question is:   y = -47x + 661

Step-by-step explanation:

Data

m = - 47         I wasn't sure if the slope was -47 or -4.

Point (14, 3)

Formula

(y - y1) = m(x - x1)

Process

                  (y - 3) = -47(x - 14)

                   y - 3 = -47x + 658

                   y = -47x + 658 + 3

                   y = -47x + 661

5 0
3 years ago
How do you divide 400 by 10 to the power of 3
Ivanshal [37]
10 to the power of 3 is 1000, and 400 divided by 1000 is 0.4 because you move the decimal place over 3 in the number 400 to get 0.4.
8 0
3 years ago
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The Smith family went to eat at Buffalo Wild Wings. The bill was $43.86. They gave the server a 20% tip. How much did they pay a
Marysya12 [62]
<h2>Answer:</h2>

$52.63

<h2>Step-by-step explanation:</h2>

To find 20% of $43.86 we multiply $43.86 by 0.2

$43.86 • 0.2 = $8.772

Now add $43.86 and $8.772 to find out how much the family paid altogether.

$43.86 + $8.772 = $52.632

In money the smallest place value is cents so we have to round to the hundredths place.

Doing this we get the grand answer of:

$52.63

3 0
2 years ago
Which of the following are identities?
podryga [215]

Answer:

A. III only

Step-by-step explanation:

In mathematics, an identity is one of the characteristics of algebraic expressions.

Given variable a and b in an algebraic expression, an identity is defined as an equality that remains the same no matter the values that we choose for either variable a or b.

Identity in mathematics makes it very easy to solve algebraic expressions. The two sides of an identity in an algebra can easily be exchanged for each other.

In the above question, we are given 3 Options.

I) 3(5 + 2x) = 15 + 6x

II) y = x + 3

III) (x² - y²) = (x + y) (x - y)

Option I) 3(5 + 2x) = 15 + 6x

Is showing distributive property in mathematics.

Distributive property is :

a(b + c) = ab + ac

Option I is not an identity , therefore it is wrong.

Option II) y = x + 3 is just an algebraic expression.

Only Option III is an identity. This is because it follows the rule of

(a² - b²) = (a + b) (a - b)

We can prove and confirm this be solving the algebraic expression

(x + y) (x - y)

We expand the bracket

x² - xy +xy - y²

x² - y²

Therefore, option A is the correct option.

6 0
3 years ago
Read 2 more answers
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