Answer:
He currently has 5/8 of a gallon. He needs 11/8 more paint to finish his mural.
Add 11/8 gallons or 5/4 and 1/8 of a gallon.
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Below numbers are divisible by the number of students:</u>
<u>Lets find GCF of 24 and 36:</u>
- 24 = 2*2*2*3
- 36 = 2*2*3*3
- GCF(24,36) = 2*2*3 = 12
The largest possible number of students is 12
Answer: x = 4 and x = -3/2
Procedure:
1) Given: 2x^2 - 5x - 12 = 0
2) Multiply both sides by : 2(2x^2) - 2(5x) - 2(12) = 0
3) Rearrange: (2x)^2 -5(2x) - 24 = 0
4) Notice that the common factor is (2x)
5) Set the parenthesis with the common factor inside:
(2x ) (2x ) =0
6) The first sign is the same sign of the second term of the trinomial, which is negative, the second sign is the product of the signs of the second and the third terms of the polynomial, which is (-)*(-) = + (positive)
(2x - )(2x + ) = 0
7) find two numbers that sum up - 5x and its product is -24.
- 8 + 3 = - 5
(-8)(+3) = -24
=> the numbers in the factors are -8 and +3
(2x - 8) (2x + 3) = 0
That is the factored equation. Now you can solve
8) a) 2x - 8 = 0 => 2x = 8 => x = 8/2 => x = 4
b) 2x + 3 = 0 => 2x = - 3 => x = - 3/2
Answer: the two solutions are x = 4 and x = -3/2
Answer:
a = 26
Step-by-step explanation:
29 + 33 + 27 + a + 19 + 17 + 10 / 7 = 23
135 + a / 7 = 23
135 + a = 161
a = 26
Answer:
The length of the road that runs straight from Pittsburgh to Jeanette is 29.8 miles
Step-by-step explanation:
We are given
Bethel Park is 28 miles directly west of Jeanette
10.3 miles directly south of Pittsburgh
We can draw diagram
we can see that this is triangle
so, we can use Pythagoras theorem
and we get
now, we can solve for x
So,
The length of the road that runs straight from Pittsburgh to Jeanette is 29.8 miles
