Answer:
Hot dog:155 calories Cottage cheese: 200 calories
Step-by-step explanation:
Make 2 equations ---->(y=cottage cheese, x=hot dog) 2x+3y=910, 5x+2y=1,175---> solve for one variable---> x+1.5y=910---> x=605-1.5 y-----> do for both-----> x=155, y=200
Answer: -4/7
Step-by-step explanation:
To find the slope, let's change the equation to slope-intercept form.
[subtract both sides by 4x]
[divide both sides by 7]

Now, we know the slope is -4/7.
Answer:
Area of the shaded region = 1.72r²
Step-by-step explanation:
Radius of the circle = r
Length of the rectangle = 4r
Width of the rectangle = 2r
Area of the circle = πr²
Area of the rectangle = Length × Width
= 4r × 2r
= 8r²
Area of the shaded region = Area of the rectangle - 2 × Area of the circle
= 8r² - 2 × πr²
= 8r² - 2πr²
= r²(8 - 2π)
= r²(8 - 2 × 3.14)
= r²(8 - 6.28)
= 1.72r² 
Answer:
Step-by-step explanation:
![\sqrt[3]{54c}=\sqrt[3]{3*3*3*2c} =3\sqrt[3]{2c}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54c%7D%3D%5Csqrt%5B3%5D%7B3%2A3%2A3%2A2c%7D%20%3D3%5Csqrt%5B3%5D%7B2c%7D)
It is 30 degrees. Add 90 and 60 to get 180. Then subtract that from 180, since all triangles interior angles add to 180. You’ll get 30.