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mihalych1998 [28]
3 years ago
5

Find two mixed numbers so that the sum is 15 3/10 and the difference is 8 5/10

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0
11 9/10 and 3 2/5

\left \{ {{ 11\frac{9}{10}+3\frac{2}{5}=15\frac{3}{10}} \atop { 11\frac{9}{10}-3\frac{2}{5}=8\frac{5}{10}}} \right.

To solve for this, you can create a series of two equations
\left \{ {{y+x=15 \frac{3}{10} } \atop {y-x= 8\frac{5}{10} }} \right.

After that, you solve one of the equations for x and plug it into the other equation.
\left \{ {{x=15 \frac{3}{10}-y } \atop {y-x= 8\frac{5}{10} }} \right.

{2y-15 \frac{3}{10}= 8\frac{5}{10}

Then, solve for variable y
{2y=23 \frac{8}{10}
{y=11\frac{9}{10}

Then, you plug in this value for y into one of the original equations

11\frac{9}{10}+x=15 \frac{3}{10}

x=15 \frac{3}{10} -11\frac{9}{10}

x=3 \frac{2}{5}
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Use the information provided to write the equation of the circle Center: (10,-9) Point on Circle: (12,-13)
Zielflug [23.3K]

Answer:

(x - 10)² + (y + 9)² = 20

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

The radius is the distance from the centre to a point on the circle

To calculate r use the distance formula

r = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (10, - 9) and (x₂, y₂ ) = (12, - 13)

r = \sqrt{(12-10)^2+(-13+9)^2}

  = \sqrt{4+16} = \sqrt{20}, hence

(x - 10)² + (y - (- 9))² = (\sqrt{20})², that is

(x - 10)² + (y + 9)² = 20

7 0
3 years ago
I need help on this...
maria [59]
7 . 112
8 . 246

for number 7 , you multiply 8 by 16 to get 128 then subtract both windows so you get 112

for number 8 , you find the area of the rectangle which is 10x26 = 260 then add the triangles area which is 130 and you get 390 then subtract the 16 window and 128 door
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an art teacher has 1 1/2 pounds of red clay and 3/4 pound of yellow clay.The teacher mixes the red clay and yellow clay together
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Well, seeing as how she mixed the clay, she has a total of 2 2/8 pounds clay (unsimplified). Although we don't know how many students she has in one class, with simple division of this number we can figure out how many student can finish the project. Removing the 2/8, we can already tell 2 students can do it, so that's a start. Now to divide the 2 pounds into 8ths. Each pound is enough for 8 students, so the 2 pounds totals to 16. Now add the extra 2 students, it's 18 total students. Hope I explained it well enough!
7 0
3 years ago
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