Answer:
Step-by-step explanation:
x+y=10
x=10-y
x=10-5
x=5
3y= -3x+30
3(10-y)= -3(10-y)+30
30-3y= -30+3y+30
30+30-30=6y
30=6y
y=5
Step 1: Make equation equal to Zero
3x^2 = 4x + 2
3x^2 - 4x - 2
Step 2: use equation
a= 3 b = -4 c= -2
after plugging in answer should be
(2 + or - sqrt 10) / 3
Answer:
Step-by-step explanation:
Given equation:
On comparing the equation by ax² + bx + x = 0, We get: a = 1, b = 2 and c = 3
To Find the nature of the roots of the equation firstly we need to find the discriminant of the equation. The expression b²- 4ac is called the discriminant.
- Two Distinct real roots, if b² - 4ac > 0
- Two equal real roots, if b² - 4ac = 0
- No real roots, if b² - 4ac < 0
The discriminant is smaller than 0.
- <u>Hence, Equation has no </u><u>real</u><u> roots (no solution)</u>
9514 1404 393
Answer:
- 84 small cubes
- 3 1/9 unit cubes
Step-by-step explanation:
A cube that is 1/3 ft on a side will fit 3 in a foot. In terms of the 1/3 ft small cube, the dimensions of the prism are ...
1 1/3 ft = 4 small cubes
1 ft = 3 small cubes
2 1/3 ft = 7 small cubes
Then the volume in terms of small cubes is ...
V = LWH = (4)(3)(7) = 84 small cubes
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There are 3×3×3 = 27 small cubes in a 1-ft unit cube, so the prism volume in terms of unit cubes is ...
84/27 = 3 1/9 . . . unit cubes
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<em>Additional comment</em>
The largest dimension of the prism is just over 2 ft, so the maximum number of unit (1 ft) cubes that will fit is 2. To fill the volume with 3 1/9 unit cubes, those would have to be cut and fit into the space.
Answer:
He has 27 cups of flour.
He has 6.75 quarts of flour.
Step-by-step explanation:
There are 4 cups in a quart.
27 divided by 4 is 6.75.
