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3 years ago

Solve the equation. Write a justification for each step. 5m-3=22

Mathematics

2 answers:

Liono4ka [1.6K]3 years ago

6 0

Answer:

m = 5

Explanation:

5m - 3 = 22

We need to get '5m' by itself in order to find 'm'.

Step One: Add 3 To Each Side Of The Equation

5m - 3 + 3 = 22 + 3

- 3 + 3 Cancel Each Other Out So We Have 5m By Itself On One Side

5m = 25

We Need To Divide Each Side By 5 To Get 'm' By Itself

5m / 5 = 25 / 5

m = 5

We Got 'm' By Itself, And m is 5

balu736 [363]3 years ago

5 0

Answer:

m=5

Step-by-step explanation:

5m-3=22

take 3 the other side by doing the opposite operation

5m= 22+3

5m= 25

then divide it by 5 on both sides to get the value of m.
5m÷5=25÷5
5and 5 cancels out and the answer becomes :

m=5

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3 years ago

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3 years ago

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3 years ago

What is a logarithmic quotient?

umka2103 [35]

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3 years ago

Point C is in the interior of ∠ABD, and ∠ABC ≅ ∠CBC. If m∠ABC = (5/8x + 18) and m∠CBD = (4x), what is m∠ABD?

mixer [17]

Answer:

$\angle ABD =42.4^{\circ}$

Step-by-step explanation:

We are given that Point C is in the interior of ∠ABD

We are also given that ∠ABC ≅ ∠CBD

Now ,

$\angle ABC = (\frac{5}{8}x + 18)\\\angle CBD = (4x)$

Since we are given that ∠ABC ≅ ∠CBD

So, $\frac{5}{8}x + 18=4x\\4x-\frac{5}{8}x=18\\\frac{32x-5x}{8}=18\\\frac{27x}{8}=18\\x=\frac{18 \times 8}{27}\\x=5.3$

$\angle CBD = (4x)=4(5.3)=21.2^{\circ}$

$\angle ABD = \angle CBD+\angle ABC=21.2+21.2=42.4^{\circ}$

Hence $\angle ABD =42.4^{\circ}$

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3 years ago