Answer:
Step-by-step explanation:
6 in to 13 ft = 9 in to x ft
6 / 13 = 9 / x.....cross multiply because this is a proportion
(6)(x) = (13)(9)
6x = 117
x = 117/6
x = 19.5 (or 19 1/2) ft <====
Marcus Garvey was <span>a Jamaican-American Civil Rights activist who was part of the "Back to Africa" movement of the early 20th century and founded the "Black Star Steamship Company" for this purpose.
He was also pro Pan-African movement which proposed the idea that all people of African descent should unite in order to improve the state of affairs in Africa. </span>
Answer:
Step-by-step explanation:
Let the number of ounces of
A = x
B = y
A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?
Our system of equations is given as
x + y = 90.... Equation 1
x = 90 - y
40% × x + 55% × y = 45% × 90 ounces
0.4x + 0.55y = 40.5....Equation 2
We substitute 90 - y for x in Equation 2
{ 3-y=2x
{ x+1/2y=3/2
{ -y=2x-3
{ 1/2y=3/2-x
{ y=-2x+3
{ y=3-2x
-2x+3=3-2x
(x,y) = (x,-2x+3)
Answer:
9/4
Step-by-step explanation:
The divide symbol is also the line that separates the numerator and the denominator, so 45÷20 can also be written as 45/20.
We can see that both 45 and 20 are divisible by 5, so we can simplify the fraction down to 9x5/4x5, and then we cancel out the 5s and are left with 9/4
