They will need 2 5/12 more pounds to reach their goal.
<h3>Sum and difference of fractions</h3>
Given the following information as shown:
- Amount Blake collected = 6 1/3 pounds
- Amount his brother collected = 5 3/4 pounds
If their goal is to collect 14 1/2 pounds of food by the end of the month, the remaining food they need to collect will be expressed as:
y =14 1/2 - (6 1/3 + 5 3/4)
y = 14 1/2 - (19/3 + 23/4)
y = 29/2 - (76+69/12)
y = 29/2 - (145/12)
y = 174-145/12
y = 29/12
y = 2 5/12
Hence they will need 2 5/12 more pounds to reach their goal.
Learn more on sum and difference of fractions here: brainly.com/question/24205483
Answer:
Step-by-step explanation:
<u>3 hours for studying x subjects:</u>
Answer:
If you were to fully simplify it would technically be 1/2 as 4/8 is correct but can be further rounded down
Step-by-step explanation:
1/8 x 4 = 4/8
4/8 ÷ 4 = 1/2
Multiply 2x-5y= -21 by 3 to make it 6x-15y= -63
Multiply 3x-3y= -18 by -5 to make it -15x+15y=90
This cancels the y’s out which leaves us with
6x=-63
&
-15x=90
x for 6x=-63 equals - 10.5 so x is - 10.5 and for -15x=90, x= -6
Then you plug in x into any equation you’d like to find y.
Let’s plug in - 10.5 into 6x... equation.
6(- 10.5)-15y=-63
63-15y= -63
-63 -63
-15y=0
y=0 and x= - 10.5. When you plug in this values it makes the equation true!
But the correct answer is the first one north. Sorry if I’m doing too much hahah
If I’m confusing here’s the right answer...
6x-15y= -63
-15x+15y=90
Easiest way is if you substitute each point (x,y) into each set of equations and both points work for both equations in the system of equations, then it is the correct answer
Otherwise substitute one equation for y in the other equation:
2x + 6 = x^2 + 5x + 6
-2x - 6. -2x -6
0 = x^2 + 3x. Factor
0 = x (x + 3)
Solve: x = 0. x + 3 = 0. ——> x = -3. Substitute into one original equation to get y value for
y = 2x + 6.
y = 2(0) + 6. y = 2(-3) + 6
y = 6. y = -6 + 6 —-> y = 0
(0 , 6) And. (-3 , 0)