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3 years ago

Find the value of two numbers if their sum is 12 and their difference is 4. Show work please.

Mathematics

2 answers:

Elza [17]3 years ago

6 0

Answer:

8,4

Step-by-step explanation:

x+y=12

x-y=4

(x+y)(x-y)=12*4

x^2-y^2=48

x=8 y=4

Irina18 [472]3 years ago

5 0

Answer:

4 & 8

Step-by-step explanation:

x-y = 4 -> x = 4+y

x+y = 12 = 4+y+y -> 4+2*y = 12

-> 2*y = 8 -> y = 4

-> x = 4+y = 8

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6 $44 is shared between David, Jo and Mary in the ratio 2:3:5<br> How much does each receive?

OverLord2011 [107]

Answer:

David=$8.8

Jo=$13.2

Mary=$22

Step-by-step explanation:

2+3+5=10

44/10=4.4

David=4.4x2=$8.8

Jo=4.4x3=$13.2

Mary=4.4x5=$22

8.8+13.2+22=44

8 0

3 years ago

Write this ratio as a fraction in the simplest form 3 feet to 63 inches

Lana71 [14]

Answer: The answer is 1/21

Step-by-step explanation:

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4 years ago

which of the following gives an equation of a line that passes through the point (6 over 5, -19 over 5) and is parallel to the l

victus00 [196]

One equation for this would be

$y = \frac{41}{16} x-\frac{55}{8}$

We start by finding the slope between the two points:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-\frac{-19}{5}}{-2-\frac{6}{5}}
\\
\\=(-12+\frac{19}{5}) \div (-2-\frac{6}{5})
\\
\\=(\frac{-60}{5}+\frac{19}{5}) \div (\frac{-10}{5}-\frac{6}{5})
\\
\\=\frac{-41}{5} \div \frac{-16}{5}=\frac{-41}{5} \times \frac{-5}{16}=\frac{41}{16}$

A line parallel to this one will have the same slope. We will use point-slope form to write our equation:

$y-y_1=m(x-x_1)
\\
\\y-\frac{-19}{5}=\frac{41}{16}(x-\frac{6}{5})
\\
\\y+\frac{19}{5}=\frac{41}{16}x- \frac{41}{16} \times \frac{6}{5}
\\
\\y+\frac{19}{5}=\frac{41}{16}x-\frac{246}{80}
\\
\\y+\frac{304}{80}=\frac{41}{16}x-\frac{246}{80}
\\
\\y=\frac{41}{16}x-\frac{246}{80}-\frac{304}{80}
\\
\\y=\frac{41}{16}x-\frac{550}{80}
\\
\\y=\frac{41}{16}x-\frac{55}{8}$

6 0

3 years ago

Write the exact value of, or estimate, the side length of a square with an area of 100 square units.

timofeeve [1]

Answer:

l =10 units, 9.7 units, 5.5 units

Step-by-step explanation:

Area = length x breadth

Area of a square = l^2

100= l^2

√100 =√l^2

l=10 units

95=l^2

√95 = √l^2

l= 9.7 units

30=l^2

√30=√l^2

l= 5.5 units

6 0

3 years ago

Matias stacked his cubes to make this rectangular prism. rectangular prism with grid lines How many cubes did Matias use?

Montano1993 [528]

Counting each visible cube, and multiplying it by 2, he used 112. If you counted them, there would be 56 cubes. You'd multiply by 2 for the non-visible ones.

7 0

4 years ago

Read 2 more answers