What is the justification for each step taken from line 2 to line 3?

Mathematics

2 answers:

matrenka [14]3 years ago

7 0

2x was subtracted from both sides.

A. Subtraction Property of Equality

ElenaW [278]3 years ago

6 0

the answer is A

hope it helps

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Robin used one fourth of a pound of butter to make a cake. Before she started she seven eighths of a pound of butter. How much b

ad-work [718]

Answer:

$\dfrac{5}{8}$ pounds.

Step-by-step explanation:

To find how much butter Robin had after baking, we first need to find how much she initially had.

According to the problem Robin had 7/8 of a pound of butter.

She used 1/4 of a pound of butter to make a cake.

This gives us:

$\dfrac{7}{8}-\dfrac{1}{4})$

Since we have different denominators, we need to first find the LCD of the fractions.

$\dfrac{7}{8}-\dfrac{1}{4}(\dfrac{2}{2}$

$\dfrac{7}{8}-\dfrac{2}{8}$

Now that they have the same denominators, we can then subtract them directly.

$\dfrac{5}{8}$ pounds.

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3 years ago

There are 3 black marbles and 4 red marbles in a bag.

devlian [24]

3 + 4 = 7 all marables in bag
The probability that the first marable is black
$P(A_1)=\dfrac{3}{7}$
The probability that the second marable is black too
$P(A_2)=\dfrac{2}{6}=\dfrac{1}{3}$
Together:
$P(A)=P(A_1)\cdot P(A_2)=\dfrac{3}{7}\cdot\dfrac{1}{3}=\dfrac{1}{7}\to D$

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3 years ago

Find the area of the regular 30-gon with radius 10 mm.

Irina-Kira [14]

Answer:

This polygon is comprised of 30 congruent triangles, each with a central angle of 12°

And using trig, each has an area of......

(1/2)(20)^2 sin(12°) = 41.5823381636 sq ft

So, 30 times this = 1247.470144908 sq ft = 1247.5 sq ft (rounded to the nearest tenth)

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3 years ago

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