Answer:
the wronge value is -2y
Shana should have wrote -2xy
-18-27x. Multiply each thing in the parentheses by -9
Answer: 29 cookies
Step-by-step explanation:
Judging that a "batch" is a dozen which is 12 then...
12 + 12 + 5 = 29
Hope this helps!!! Good luck!!! ;)
Answer:
∠ABC = 84°
∠BEF = 64°
Step-by-step explanation:
∠ABC is supplementary to the 96° angle shown, so is 180° -96° = 84°.
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∠ABD, marked as (x+y)°, is a vertical angle with ∠EBC, so has the same measure, 96°. ∠BEF, marked as y°, is a vertical angle with the one marked 2x°.
These relationships can be expressed as two equations:
Using the second of these equations to substitute for y in the first equation, we have ...
x + 2x = 96
x = 96/3 = 32
y = 2x = 2·32 = 64 . . . . . . substitute the value of x into the second equation
Then ∠BEF = 64°.
Answer:
![\large\boxed{\dfrac{7x^2}{6x-10}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7B7x%5E2%7D%7B6x-10%7D%7D)
Step-by-step explanation:
![\dfrac{7x^2}{2x+6}\div\dfrac{3x-5}{x+3}=\dfrac{7x^2}{2(x+3)}\cdot\dfrac{x+3}{3x-5}\\\\\text{cancel}\ (x+3)\\\\=\dfrac{7x^2}{2}\cdot\dfrac{1}{3x-5}=\dfrac{(7x^2)(1)}{(2)(3x-5)}\\\\\text{use the distributive property}\ a(b-c)=ab-ac\\\\=\dfrac{7x^2}{6x-10}](https://tex.z-dn.net/?f=%5Cdfrac%7B7x%5E2%7D%7B2x%2B6%7D%5Cdiv%5Cdfrac%7B3x-5%7D%7Bx%2B3%7D%3D%5Cdfrac%7B7x%5E2%7D%7B2%28x%2B3%29%7D%5Ccdot%5Cdfrac%7Bx%2B3%7D%7B3x-5%7D%5C%5C%5C%5C%5Ctext%7Bcancel%7D%5C%20%28x%2B3%29%5C%5C%5C%5C%3D%5Cdfrac%7B7x%5E2%7D%7B2%7D%5Ccdot%5Cdfrac%7B1%7D%7B3x-5%7D%3D%5Cdfrac%7B%287x%5E2%29%281%29%7D%7B%282%29%283x-5%29%7D%5C%5C%5C%5C%5Ctext%7Buse%20the%20distributive%20property%7D%5C%20a%28b-c%29%3Dab-ac%5C%5C%5C%5C%3D%5Cdfrac%7B7x%5E2%7D%7B6x-10%7D)