Equation: 2/5 + p = 4/5 + 3/5p
Simplify Both Sides:
p + 2/5 = 3/5p + 4/5
Subtract 3/5p from both sides:
p + 2/5 - 3/5p = 3/5p + 4/5 - 3/5p
2/5p + 2/5 = 4/5
Subtract 2/5 from both sides:
2/5p + 2/5 - 2/5 = 4/5 - 2/5
2/5p = 2/5
Multiply both sides by 5/2
(5/2) * (2/5p) = (5/2) * (2/5)
p = 1
Answer: p = 1
Hope that helps!!! (Answer: Letter Choice (A), p = 1
Answer:
Step-by-step explanation:
If P, Q and S are collinear, then the three points lies on the same straight line.
If the Straight <P Q S is divided into 2 angles, <P Q R and <R Q S, by ray Q R, then;
<P Q R + <R Q S = 180
Given
<R Q S =x+1
<P Q R = 3x-5
Substitute the given expression into the formula and calculate x;
3x-5+x+1 = 180
collect like terms
3x+x - 5+1 = 180
4x-4 = 180
4x = 180+4
4x = 184
divide both sides by 4
4x/4 = 184/4
x = 46°
To get m∠PQR, we will substitute x = 46 into the expression for m∠PQR.
m∠PQR = 3x-5
m∠PQR = 3(46) - 5
m∠PQR = 138 - 5
m∠PQR = 133°
Hence the measure of angle m∠PQR is 133°
Honestly I don't know that is a really hard question
Let G be the granola we need (in pound)
Let N be the nut we need (in pound)
Trail mix cost $5.00 per pound---> cost for 7 pound = 5 x 7 = $ 35
4.5G+7N= 35
G+ N = 7
Therefore G = 5.6 N=1.4, we would need 5.6 pound granola & 1.4 pound nut
Steps to solve:
15 + 2a = 35
~Subtract 15 to both sides
2a = 20
~Divide 2 to both sides
a = 10
Best of Luck!
