Answer: 19 macaroons
Step-by-step explanation:
Let's create an equation to represent this situation. Let x represent the number of macaroons that Em made.
33=x+x+5
33=2x+5
33-5=2x+5-5
28=2x
28/2=2x/2
14=x
This means that Em made 14 macaroons.
14+5=19
Therefore, Jim baked 19 macaroons.
Answer:
Choice A.
Step-by-step explanation:
Let x = price of a helmet, y = price of a bat, z = price of a ball.
Company A can provide 9 helmets, 6 bats, and 12 balls for $525.
9x + 6y + 12z = 525
Company B can provide 10 helmets, 8 bats, and 10 balls for $600.
10x + 8y + 10z = 600
Company C can provide 8 helmets, 5 bats, and 15 balls for $500.
8x + 5y + 15z = 500
Answer: Choice A.
<span>
</span>Sam wants to write an equation to represent a proportional relationship with a constant of proportionality of 6. He writes the equation y = 6 + x.
The solution to your problem is as follows:
The tangent line passes through (4,-6), so x = 4 when y = -6
=> f(4) = -6
The tangent line will have a constant gradient.
gradient is m = (-6 - 9)/(4 - 10) => 5/2
Equation is y - 9 = (5/2)(x - 10)
=> y - 9 = (5/2)(x-10)
<span>i.e. y = (5/2)(x-10) + 9
</span> y = (5/2)x - 25 + 9 = y = (5/2)x - 16
Now, f '(x) = dy/dx = 5/2
so, f '(4) = 5/2....i.e. gradient is 5/2 whatever the value of x.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
