Answer:
B
Step-by-step explanation:
You need to divide it to further simplify the expression unless it is already in its simplest form.
Answer:
k = (-1/4)
Step-by-step explanation:
Given that,
The point (-2, k) lies on the line 2x – 4y + 3 = 0.
We need to find the value of k.
Put x = -2 and y = k in the given equation.
2(-2) – 4k + 3 = 0
-4-4k = -3
-4+3 = 4k
-1 = 4k
k = (-1/4)
So, the value of k is equal to (-1/4).
<h3>
Answer: 60 muffins</h3>
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Explanation:
x = some positive whole number
2x = amount Helen baked initially
5x = amount Rebecca baked initially
Notice that the ratio 2x:5x reduces to 2:5 after dividing both parts by x.
So (2x)/(5x) = 2/5
Helen then bakes another 12 muffins, bumping the 2x up to 2x+12. The ratio is now 1:2, which means,
(amount Helen bakes)/(amount Rebecca bakes) = 1/2
(2x+12)/(5x) = 1/2
2(2x+12) = 5x*1 .... cross multiply
4x+24 = 5x
24 = 5x-4x
24 = x
x = 24
From here, we then can say,
- Helen = 2x+12 = 2*24+12 = 48+12 = 60
- Rebecca = 5x = 5*24 = 120
Helen baked 60 muffins and Rebecca baked 120 muffins. We see that 60:120 reduces to 1:2 after dividing both parts by the GCF 60.
Furthermore, note how
- 2x = 2*24 = 48
- 5x = 5*24 = 120
- 48:120 reduces to 2:5 after dividing both parts by 24
This helps confirm we have the correct answer.
Answer:
2^2 +5^2 = c^2
Step-by-step explanation:
We can use the Pythagorean theorem to solve for c
a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse
2^2 +5^2 = c^2
4+25 = c^2
29 =c^2