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earnstyle [38]
3 years ago
10

How to solve d - 5 = 7 algebraically

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
7 0

Answer:

Step-by-step explanation:

Simplifying

d + -5 = 7

Reorder the terms:

-5 + d = 7

Solving

-5 + d = 7

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + d = 7 + 5

Combine like terms: -5 + 5 = 0

0 + d = 7 + 5

d = 7 + 5

Combine like terms: 7 + 5 = 12

d = 12

Simplifying

d = 12

adelina 88 [10]3 years ago
6 0

Answer:

d = 12

Step-by-step explanation:

d - 5= 7

( d - 5 ) + 5 = 7 + 5

d - 5 + 5 = 12

d = 12

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12a^3b^2 +18a²b^2 – 12ab^2<br> Factor completely
AleksAgata [21]

The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is 6 a b^{2}(a+2)(2 a-1)

<u>Solution:</u>

Given, expression is 12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}

We have to factorize the given expression completely.

Now, take the expression

12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}

Taking b^2 as common term,

b^{2}\left(12 a^{3}+18 a^{2}-12 a\right)

Taking "a" as common term,

b^{2}\left(a\left(12 a^{2}+18 a-12\right)\right)

Taking "6" as common term,

b^{2}\left(a\left(6\left(2 a^{2}+3 a-2\right)\right)\right)

Splitting "3a" as "4a - a" we get,

b^{2}\left(a\left(6\left(2 a^{2}+4 a-a-2\right)\right)\right)

\begin{array}{l}{b^{2}(a(6(2 a(a+2)-1(a+2))))} \\\\ {b^{2}(a(6((a+2) \times(2 a-1))))} \\\\ {6 a b^{2}(a+2)(2 a-1)}\end{array}

Hence, the factored form of given expression is 6 a b^{2}(a+2)(2 a-1)

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3 years ago
Jordan Pat 6 4/5 yards of pink ribbon and 3 1/4 yards of purple ribbon how much more pink ribbon the purple ribbon did she buy?
evablogger [386]
Hello! For this question, we will have to subtract fractions. In order to do this, we will have to convert the fractions into the same denominator. We do this by finding the LCD of the two numbers. In other words, we find the LCM. The LCM of 5 and 4 is 20. 4/5 converts to 16/20, and 1/4 converts to 5/20. Let's subtract these numbers like we would regular numbers. 6 16/20 - 3 5/20 is 3 11/20. There. Jordan bought 3 11/20 yards more pink ribbon than purple ribbon.
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