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3 years ago

Luci cuts a board that is 3/4 yard long into pieces that are 3/8. how many pieces does she cut

2 answers:

7 0

Luci cuts a board that is 3/4 yard long into pieces that are 3/8. The pieces she cut can be solve by dividing the board by length of the new board. The length of the ¾ yards long divided by the desired length of 3/8 yards which is equal to 2 pieces.

IrinaK [193]3 years ago

3 0

Answer:

The board will be cut into 2.66 pieces.

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

Based on the information given we should first start by turning yards into inches and then calculating the size of the board by multiplying 3/4 by the amount of inches in a yard. Like so,

1 Yard ⇔ 36 inches

$36 * \frac{3}{4} = 27 in$

Now we can see that the board is 27 inches long. Now we need to find out how long a 3/8 piece is.

$27 * \frac{3}{8} = 10.125in$

Finally, we divide the length of the board by 10.125 inches to see how many pieces the board will be cut into.

$27 / 10.125 = 2.66$

The board will be cut into 2.66 pieces.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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Rewrite this radicand as two factors, one of which is a perfect square.

seropon [69]

Answer:

$2 \sqrt{15}$

Step-by-step explanation:

1) rewrite 60 as it's prime factors.

$\sqrt{2 \times 2 \times 3 \times } 5$

2) group the smae prime factors into pairs.

$\sqrt{(2 \times 2)} \times 3 \times 5$

3) Rewrite each pair in exponent form.

$\sqrt{ {2}^{2} \times 3 \times 5 }$

4) use this role:

$\sqrt{ {x}^{2} } = x$

$2 \sqrt{3 \times 5}$

5) Simplify.

$4 \sqrt{15}$

So, therefor, the answer is option 1.

5 0

3 years ago

Read 2 more answers

Find the midpoint of PQ P(4 1/3, 3 1/6), Q(-2 1/5, 3 2/3)

Paha777 [63]

Answer:

$(1\frac{1}{15},3\frac{5}{12})$

Step-by-step explanation:

To find the midpoint, you must average the x's then average the y's.

So the x's are $4 \frac{1}{3}$ and $-2\frac{1}{5}$ .

The y's are $3\frac{1}{6}$ and $3\frac{2}{3}$ .

To find an average of a data with 2 elements you must add the two elements then take that sum and divide it by 2.

So this is what we will do with the x's then the y's.

So first x:

$\frac{4\frac{1}{3}+-2\frac{1}{5}}{2}$

Write as improper fractions:

$\frac{\frac{13}{3}+\frac{-11}{5}}{2}$

Division by 2 is the same as multiplying by 1/2:

$\frac{13}{6}+\frac{-11}{10}$

The least common multiple of 6 and 10 is 30. We will multiply first fraction by 5/5 and 3/3 for the second so we can have the same denominator.

$\frac{65}{30}+\frac{-33}{30}$

Now that the bottoms are the same we can write as one fraction:

$\frac{65+-33}{30}$

Simplify:

$\frac{32}{30}$

If you want the answer as a mix fraction like your question began as we can do that by first figuring out how many 30's are in 32 and what is the remainder of that division.

There is one 30 and 32 and so 32-30=2 is the remainder.

$1\frac{2}{30}$

Reduce by dividing top and bottom by 2:

$1\frac{1}{15}$

Now for y:

$\frac{3\frac{1}{6}+3\frac{2}{3}}{2}$

Write the mix fractions as improper fractions:

$\frac{\frac{19}{6}+\frac{11}{3}}{2}$

Dividing by 2 is the same as multiplying by 1/2:

$\frac{19}{12}+\frac{11}{6}$

The least common multiple of 12 and 6 is 12 so I'm going to multiply the second fraction by 2/2 so the denominators will be the same:

$\frac{19}{12}+\frac{22}{12}$

Since the denominators are the same we can write as a single fraction:

$\frac{41}{12}$

How many 12's are in 41? 3 and so the remainder is 41-3(12)=41-36=5.

$3\frac{5}{12}$

So the midpoint is:

$(1\frac{1}{15},3\frac{5}{12})$ .

6 0

3 years ago

Read 2 more answers

Graph the circle (x+6)^2 + (y+5)^2 =9

Andrei [34K]

Answer:

This a circle centered at the point $(-6,-5)$ , and of radius "3" as it is shown in the attached image.

Step-by-step explanation:

Recall that the standard formula for a circle of radius "R", and centered at the point $(x_0,y_0)$ is given by:

$(x-x_0)^2+(y-y_0)^2=R^2$

Therefore, in our case, by looking at the standard equation they give us, we extract the following info:

1) $R^2 = 9\,\,\,then\,\,\,R=3$ since the radius must be a positive number and ( $R=-3$ ) is not a viable answer.

2) $x_0=-6$ for ( $x-x_0$ ) to equal $(x+6)$

3) $y_0=-5$ for ( $y-y_0$ ) to equal $(y+5)$

Therefore, we are in the presence of a circle centered at the point $(-6,-5)$ , and of radius "3". That is what we draw as seen in the attached image.

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3 years ago

Select all ratios equivalent to 5:2 A) 25:10 B) 10:4 C) 4:1

Scrat [10]

Answer:

A and B

Step-by-step explanation

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3 years ago

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