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Vladimir [108]
3 years ago
12

Lucy is a dress maker. She sews \dfrac47

Mathematics
1 answer:
Strike441 [17]3 years ago
5 0

Answer:

\frac{16}{21} dresses

Step-by-step explanation:

We are given that

Lucy sews dress in 3/4 hours=\frac{4}{7} of dress

Lucy sews at constant rate.

We have to find the number of dresses sewed by Lucy in hour.

To find number of dress sewed by Lucy in 1 hour we will use unitary method.

By using unitary method

Lucy sews in 3/4 hours=\frac{4}{7} dress

Lucy sews in 1 hour=\frac{\frac{4}{7}}{\frac{3}{4}}

Lucy sews in 1 hour=\frac{4}{7}\times \frac{4}{3}

Lucy sews in 1 hour=\frac{16}{21} dresses

Hence, Lucy sews \frac{16}{21} dresses in 1 hour.

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Arte-miy333 [17]

Answer:

this could work y=(-22)x+41

4 0
3 years ago
AB is the angle bisector of ∠CAD. Solve for x.
Sliva [168]

Answer: x=7

Step-by-step explanation:

Since AB is a bisector, it cuts the angle in half, and since we know that the angle is a right angle, we know it’s 90 degrees, so knowing that you use the equation 7x-4= 45 (since 45 is half of 90), add 4 to both sides so you have 7x=49, the divide 49 by 7 and you get 7, so x= 7

3 0
3 years ago
What would the variables for a and b be? 3/x + 5/x^2 = (ax+b)/x^2
allsm [11]

Answer:

a=3,b=5

Step-by-step explanation:

\frac{3}{x}  +  \frac{5}{ {x}^{2}  }  \\  =  \frac{3x}{ {x}^{2} }   +  \frac{5}{ {x}^{2} }  \\  =  \frac{3x + 5}{ {x}^{2} }

so as you got it:

\frac{(ax + b)}{ {x}^{2} }  =  \frac{3x + 5}{ {x}^{2} }  \\ a = 3 \\ b = 5

4 0
3 years ago
Arrange the steps to solve the equation square root x+3 - square root 2x-1=-2
stiv31 [10]

Answer:x=31.4919

Step-by-step explanation:

Step1:isolate a square root on the left hand side√x+3=√2x-1-2

Step2:eliminate the radicals on the left hand side

Raise both sides to the second power

√x+3)^2=(√2x-1-2)^2

After squaring

x+3=2x-1+4-4-4√2x-1

Step3:get the remaining radicals by itself

x+3=2x-1+4-4√2x-1

Isolate radical on the left hand side

4√2x-1=-x-3+2x-1+4

4√2x-1=x

Step4:eliminate the radicals on the left hand side

Raise both side to the second power

(4√2x-1)^2=x^2

After squaring

32x-16=x^2

Step 5:solve the quadratic equation

x^2-32x-16

This equation has two real roots

x1=32+√960/2=31.4919

x2=32-√960/2=0.5081

Step6:check that the first solution is correct

Put in 31.4919 for x

√31.4919+3=√2•31.4919-1-2

√34.492=5.873

x=31.4919

Step7:check that the second solution is correct

√x+3=√2x-1-2

Put in 0.5081 for x

√0.5081+3=√2•0.5081-1-2

√3.508=-1.873

1.873#-1.873

One solution was found

x=31.4919

6 0
3 years ago
harry owes the bank money.To replay his debt,he paid $150 back to the bank each month . After 10 months, his remaining debt was
Maksim231197 [3]
Answer: 8400 $

Explanation:
His original debt: money paid for 10 months + remaining debt
Assume X is his original debt
Then X= 10 • 150 + 6900
X= 1500+6900=8400$
8 0
4 years ago
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