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Semmy [17]
3 years ago
5

Variables x and y are in direct proportion, and y = 12.5 when x = 25. If x = 40, then y =

Mathematics
1 answer:
BabaBlast [244]3 years ago
6 0
25/12.5 = 40/y
cross multiply
(25)(y) = (12.5)(40)
25y = 500
y = 500/25
y = 20 <====
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Answer:

b=−1/14ot+2

Step-by-step explanation:

Let's solve for b.

to−8+5b=−6+26−9b

Step 1: Add 9b to both sides.

ot+5b−8+9b=−9b+20+9b

ot+14b−8=20

Step 2: Add -ot to both sides.

ot+14b−8+−ot=20+−ot

14b−8=−ot+20

Step 3: Add 8 to both sides.

14b−8+8=−ot+20+8

14b=−ot+28

Step 4: Divide both sides by 14.

14b

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2 years ago
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The product of 2 numbers is -24 and their sum is -5. What are the two numbers and why are they the two numbers?
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The numbers are (-8, 3) or (3, -8).

Step-by-step explanation:

  • Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.

⇒ a + b = -5 ⇒ b = -5 - a

⇒ a × b = -24 -------- (1)

  • Step 2: Substitute the value of b in eq(1)

⇒ a × (-5 - a) = - 24

⇒ -5a - a² = -24

⇒ a² + 5a - 24 = 0

  • Step 3: Solve the quadratic equation for a.

a = (-5 ± √25 - 4 × 1 × -24)/2

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  • Step 4: For each value of a, find b.

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When a = 3, b = -5 - 3 = -8.

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