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sammy [17]
3 years ago
11

Kate made 4 dresses with 7 yards of fabric. how many yards did she use on 1 dress

Mathematics
1 answer:
Ksju [112]3 years ago
5 0
This is a fraction equal to
7 yards ÷ 4 dresses

We want a unit rate where
<span>1 is in the denominator, </span>
so we divide top and bottom by 4.

7÷4= 1.75
_
4÷4=1.
Therefore, Kate used 1.75 yards per one dress (1.75 yds. p/ d)

Hope I helped! :)

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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.
Kobotan [32]

Answer:

The numbers are

-2+3\sqrt{5}   and 3\sqrt{5}

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

so

x=y-2

y=x+2 ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

so

4y+x^2=49 ----> equation B

substitute equation A in equation B

4(x+2)+x^2=49

solve for x

x^2+4x-41=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+4x-41=0

so

a=1\\b=4\\c=-41

substitute in the formula

x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}

x=\frac{-4\pm\sqrt{180}} {2}

x=\frac{-4\pm6\sqrt{5}} {2}

x=-2\pm3\sqrt{5}

so

The positive real number is

x=-2+3\sqrt{5}

Find the value of y

y=x+2

y=-2+3\sqrt{5}+2

y=3\sqrt{5}

6 0
4 years ago
The average of 100 measurements is 23 and the average of 50 additional measurements is 27.
Elden [556K]
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Average of 150 measurements
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Answer is B
8 0
3 years ago
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Lady bird [3.3K]
Hello Again!

What you want to do first is add 4 to -4 and to -13. After doing so, you'll equation will look a little something like this...

-3x=9

You'll then want to divide both -3 and 9 by -3. After doing so, the equation will look like this...

x=-3

Your answer is x=-3

I hope this helps


6 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
Please help me it says What kind of triangle makes the Pythagorean theorem true?what angle does it need to have?
Levart [38]
<h3>Answer:</h3>

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<h3>Step-by-step explanation:</h3>

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