Answer:
x = 72 / 85
Step-by-step explanation:
x -6/7=-x/84
x + x/84 = 6/7
84/84x + 1/84x = (12*6) / (12*7)
85/84x = ( 72 ) / ( 84 )
85/84x = 72 / 84
Multiply left and right from the = sign by 84/85 and you do that so you get a division ON THE LEFT SIDE that equals as 1... See how it works:
84/85 * { 85/84 } * x = 84/85 * { ( 72 ) / ( 84 ) }
{ (84 * 85) / ( 85 * 84) } * x = ( 84 * 72 ) / ( 85 * 84 )
(7140) / ( 7140) * x =. ( 6048 ) / ( 7140)
x = 6048 / 7140
x = 72 / 85
a. The inequality 15x+300≤750 represents the situation.
b. It means that the band can spend at most $30 on each uniform without exceeding the budget.
Step-by-step explanation:
Given,
Budget = $750
Competition fee = $300
Uniforms to make = 15
Let,
x be the amount for each uniform.
a. Write an inequality to represent this situation.
Uniforms to make * Cost per uniform + Competition ≤ Budget
15x+300 ≤ 750
The inequality 15x+300≤750 represents the situation.
b. Solve the inequality and describe what it means in the situation.
Dividing both sides by 15
It means that the band can spend at most $30 on each uniform without exceeding the budget.
Keywords: inequality, division
Learn more about inequality at:
#LearnwithBrainly
Y = (-1/9).x + 4
The slope m of the line perpendicular to y = (-1/9).x + 4 is equal to 9:
(if the product of 2 slopes = - 1, then the 2 lines are perpendicular)
y = 9x + b, Since it passes by the point (-1,0) , then:
0= 9(-1) + b and b = 9
Final equation:
y = 9x+9
Answer:
y= 10x-38
Step-by-step explanation:
Equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.
Given that m=10,
y= 10x +c
Now substitute the coordinates into the equation.
When y=12, x=5,
12= 10(5) +c
12= 50 +c
c= 12 -50
c= -38
Thus the equation of the line is y= 10x -38
