Answer:

Step-by-step explanation:
See attached file for complete work.
THIS IS THE COMPLETE QUESTION BELOW;
Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Matt needs is $58.07. Which of the following is closest to the width of the portion of the driveway on which Matt plans to put concrete?. . [1 foot = 12 inches; 1 yard = 3 feet]. a. 0.5 feet. b. 1.5 feet. c. 3 feet. d. 6 feet
Answer:
OPTION D is correct
d)6feet
Step by step Explanation:
We were given The price of concrete as $98 per cubic yard
Price= $98 /yrd³
But 1 foot = 12 inches
1 yard = 3 feet
Square both side we have,
Then 1yrd³ = 27 ft³.
So we can use this conversion factor to convert $98 /yrd³ to per ft³ as follows
$98 /yd³) ×(1 yrd³ / 27 ft³) = $ 98/27/ft³
If we denote the width of the portion as "y"
then the volume of the rectangular portion of the driveway =
= (8 ft) (1/3 ft) x = 8y/3 ft³
But we're given The total cost of the concrete Matt needs as $58.07,
Total cost = $58.07 = (8y/3)(98/27)
y= 5.99957 ft= 6feet
Therefore, the width of the portion of the driveway is 6feet
Answer:
False
Step-by-step explanation:
10 – [50 ÷ (-2 x 25) -7] x 22 = -18
10 - (50 ÷ (-50)-7) x 22= -18
10 - (-1 - 7) x 22= -18
10 - (-8) x 22 = -18
10 + 8 x 22 = -18
10+176=-18
186=-18
False
9x^2 - 16x + 60
Find the discriminant, b^2 - 4ac, which is the same as the value of the radicand.
(-16)^2 - 4 * 9 * 60 = -1904
Since the discriminant is negative, there will be NO real solutions, and 2 complex solutions.
Part B.
4x^2 + 8x - 5 = 0
You can tell if a quadratic is factorable if you find the discriminant and it is a perfect square. The discriminant for this quadratic is 144 so it is factorable.
(2x + 5)(2x - 1) = 0
Set each factor equal to zero.
2x + 5 = 0 2x - 1 = 0
subt 5 from both sides add 1 to both sides
2x = -5 2x = 1
divide both sides by 2 divide both sides by 2
x = -5/2 <span> </span> x = 1/2