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Sindrei [870]
3 years ago
10

It takes Audrey 3/5 hour to paint 2/5 square yards of wood to be used for making shelves. How many square yards can she paint in

1 hour? Enter your answer in the box as a fraction in simplest form
Help asap
Mathematics
2 answers:
Vikki [24]3 years ago
8 0

\frac{3}{5} \frac{2}{5}

To divide by a fraction, multiply by its reciprocal.

\frac{3}{5} \frac{5}{2}

Cancel the common factor of 5

.

Tap for more steps...

\frac{3}{1} \frac{1}{2}

Multiply

\frac{1}{3} and \frac{1}{2}

.

\frac{3}{2}

To divide by a fraction, multiply by its reciprocal.

\frac{3}{5} \frac{5}{2}

Cancel the common factor of 5

.

Tap for more steps...

\frac{3}{1} \frac{1}{2}

Multiply \frac{3}{1}

and \frac{1}{2}

.

\frac{3}{2}

The result can be shown in both exact and decimal forms.

Exact Form:

\frac{3}{2}

Decimal Form:

1.5

Mixed Number Form:

1\frac{1}{2}


vlabodo [156]3 years ago
5 0
First, you formulate a ratio of Audrey's work time to work done. In this case, 3/5 hour : 2/5 square yards. Expressing and simplifying that into a fraction would yield:

3/5 ÷ 2/5 = 3/5 * 5/2 = 3/2

We use this ratio to determine the sq yards she could paint in an hour:

1 hour * (1/(3/2) = 2/3 square yards

I hope I was able to help you with this question. Have a good day.
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vodomira [7]

Answer:

y=\frac{-3}{4} x+2

Step-by-step explanation:

First, we can find the slope using the slope equation and two of the points.

Slope equation:

m=\frac{y2-y1}{x2-x1}

I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.

m=\frac{2-5}{0--4}

Simplify:

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Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is

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The average of students is 15 years if the age of a teacher is included their average becomes 18 years .what is the age of the t
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3 similar shirts and 4 similar jackets cost $360. 1 such shirt and 3 such jackets cost $220. Find the costof each shirt.
Lyrx [107]
3s + 4j = 360
1s + 3j = 220

This one we can solve using substitution, in that
s + 3j = 220 implies s = 220 - 3j (subtract 3j from each side).

Now substitute into the first equation:

3(220 - 3j) + 4j = 360.  Solve for jackets.
660 - 9j + 4j = 360  [Distributive property]
660 - 5j = 360 [Add -9j + 4j]
Subtract 360 from each side, and add 5j to each side.
660 - 360 - 5j + 5j = 360 - 360 + 5j
300 = 5j
Divide each side by 5.
$60 = price of a jacket.

Three of these plus a shirt runs $220.
3(60) = 180
180 + s = 220
180 - 180 + s = 220 - 180 [Subtract 180 from each side]
s =   40

Now we double check.
3(40) + 4 (60) = 120 + 240 = 360.  This satisfies the first equation.
We could check the second one too, but I'm satisfied.
4 0
3 years ago
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