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Katarina [22]
3 years ago
7

Colleen says she is thinking of a 4 digit number im which all the digits are the same. The value of the digit in the hundreds pl

ace is 200.
Mathematics
1 answer:
uysha [10]3 years ago
7 0

Well, the number should be 2,222 since she wants the hundreds place to be a 2, being worth 200. Since she wanted all the digits to have the same number, it would be 2,222 for your final answer.

Hope this helped!

Nate

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At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress.
vaieri [72.5K]

Given:

The system of equations that represent the constraints for the given situation is

x+y=4.25

16.90x+4y=36.35

To find:

The solution of given system of equations.

Solution:

We have,

x+y=4.25           ...(i)

16.90x+4y=36.35           ...(ii)

Multiply equation (i) by 4.

4x+4y=17           ...(iii)

Subtracting (iii) from (ii), we get

16.90x+4y-(4x+4y)=36.35-17

16.90x+4y-4x-4y=19.35

12.90x=19.35

Divide both sides by 12.90.

x=\dfrac{19.35}{12.90}

x=1.5

Put this value in (i).

1.5+y=4.25

y=4.25-1.5

y=2.75

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

5 0
3 years ago
Identify the slope and y-intercept of the<br> line!
marta [7]

Slope of the line = \frac{1}{2}.

y-intercept of the line = -7.

Solution:

General form of equation of a line:

y = mx + c

where m is the slope and c is the y-intercept of the line.

Equation of a line:

$y=\frac{1}{2} x-7

To compare this with general equation.

$m=\frac{1}{2}

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Slope of the line = \frac{1}{2}.

y-intercept of the line = -7.

5 0
3 years ago
What is the volume of the prism?
mezya [45]

Answer:

40 \frac{5}{8} cm^{3}

Step-by-step explanation:

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length =  6 \frac{1}{2} cm

width  =  2 \frac{1}{2} cm

height  =  2 \frac{1}{2} cm

If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 \frac{1}{2} cm x 2 \frac{1}{2} cm x 2 \frac{1}{2} cm.

Without a calculator, I would first turn the mixed numbers into improper fractions.

  • 6 \frac{1}{2}  = \frac{13}{2}
  • 2 \frac{1}{2} = \frac{5}{2}

Volume = \frac{13}{2} x  \frac{5}{2} x  \frac{5}{2}

When you multiply everything together you should get \frac{325}{8}.

As a mixed number, that would be 40 \frac{5}{8} cm^{3}.

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2 years ago
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