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miv72 [106K]
3 years ago
6

A dress needs 3 1/4 yards of fabric to make. If the matching jacket requires 5/6 less yards of fabric. How much fabric is needed

for both pieces?
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
3 0
Fabric needs to make a dress = 3 1/4
fabric needs to make jacket= 3 1/4 - 5/6
= 29/12 or 2 5/12
Hence total fabric needed for both pieces is
= 3 1/4 + 2 5/12
= 68/12 or 5 8/12 or 5 2/3 yards
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In 2003 a town’s population was 1431. By 2007 the population had grown to 2134. Assume the population is changing linearly.How m
sergiy2304 [10]

We will have the following:

First, we will have that the population change by:

\Delta P=2134-1431\Rightarrow\Delta P=703

So, the population changed by 703 people.

It took the follwoing number of years to change from 1431 to 2134:

\Delta y=2007-2003\Rightarrow\Delta y=4

So, it took 4 years to changes from 1431 to 2134.

m=\frac{2134-1431}{2007-2003}\Rightarrow m=175.75

The average population growth per year is of 175.75 people per year.

The population in 2000 would have been:

P_{2000}=\frac{2000\cdot1431}{2003}\Rightarrow P_{2000}=1428.856715\ldots

\Rightarrow P_{2000}\approx1429

So, the population in 2000 would have been approximately 1429 people.

We will have that the equation for the population would be:

P=(\frac{2134-1431}{2007-2003})t+1429\Rightarrow P=\frac{703}{4}t+1429

So, the equation would be:

P=175.75t+1429

Now, we predict the number of people of the town in 2014:

P_{2014}=175.75(14)+1429\Rightarrow P_{2014}=3889.5

\Rightarrow P_{2014}\approx3890

So, there will be approximately 3890 people of the town in 2014.

3 0
1 year ago
Number six on the page
Mekhanik [1.2K]
A square has the same length on all of it's sides. The area of a square is side times side. So it's 2.2×2.2=?
7 0
3 years ago
What is 3 X 3/4 ? please help me
Vilka [71]
It is a multiplication question, just multiply: 3 x 3/4 = 9/4, now convert into mixed number and the answer is 2 1/4. I highly suggest learning how to solve simple math like this, it is quite easy.
8 0
3 years ago
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6 0
3 years ago
Log10 (2x + 1) - logio(3x - 2) = 1​
Pavlova-9 [17]

Answer: x=3/4

Step-by-step explanation:

To solve, first express the left side as one logarithm. To do so, apply the quotient rule which is log_bM/N=log_bM-log_bN .

log((2x+1)/(3x-2))=1

Then, express the equation to its equivalent exponential form to eliminate the logarithm.

Note that the exponential form of log_b M=a is M=b^a .

Since the base of the logarithm in the given equation is not written, it indicates that its base is 10.

So re-writing the equation, it becomes:

log_10((2x+1)/(3x-2))=1

And its exponential form is:

(2x+1)/(3x-2)=10^1

(2x+1)/(3x-2)=10

Now that the equation has no more logarithm, the next step is to remove the x in the denominator.

To do so, multiply both sides by 3x-2.

(3x-2)*(2x+1)/(3x-2)=10*(3x-2)

2x+1=30x-20

Next, combine like terms.

To combine 30x and 2x, bring them together on one side of the equation. So, move 2x to the right side by subtracting both sides by 2x.

2x-2x+1=30x-2x-20

1=28x-20

To combine 20 and 1, bring them together on the side opposite the term with x. So, add both sides by 20.

1+20=28x-20+20

21=28x

And, divide both sides by 28 to have x only at the right side.

21/28=(28x)/28

3/4=x

Hence, the solution to the given equation is x=3/4 .

3 0
3 years ago
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