Help me with this please

(1/3+5/6)*m ( let m=1/4

olga55 [171]

Answer:

The value of $\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$ when $m=\frac{1}{4}$ would be:

$\left(\frac{1}{3}+\frac{5}{6}\right)\frac{1}{4}=\frac{7}{24}$

Step-by-step explanation:

Considering the expression

$\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$

As

$m=\frac{1}{4}$

As the expression is

$\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$

Putting $m=\frac{1}{4}$ in the given expression would bring:

$\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$

$\left(\frac{1}{3}+\frac{5}{6}\right)\frac{1}{4}$

$\mathrm{Join}\:\frac{1}{3}+\frac{5}{6}:\quad \frac{7}{6}$

$=\frac{7}{6}\cdot \frac{1}{4}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}$

$=\frac{7\cdot \:1}{6\cdot \:4}$

$\mathrm{Multiply\:the\:numbers:}\:7\cdot \:1=7$

$=\frac{7}{6\cdot \:4}$

$\mathrm{Multiply\:the\:numbers:}\:6\cdot \:4=24$

$=\frac{7}{24}$

Therefore, the value of $\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$ when $m=\frac{1}{4}$ would be:

$\left(\frac{1}{3}+\frac{5}{6}\right)\frac{1}{4}=\frac{7}{24}$

Keywords: algebraic expression

Learn more about simplifying algebraic expression from brainly.com/question/4687406

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5 0

4 years ago

Show that each of these conditional statements is a tautology by using truth tables. a) [¬p ∧ (p ∨ q)] → q b) [(p → q) ∧ (q → r)

nlexa [21]

Step-by-step explanation:

To show that a statement is a tautology using truth table - is to show that all the entries in the expression are truths T.

We can do this by taking each statement, expression by expression. For example, to show that

[~p ∧ (p ∨ q)] → q

is a tautology, knowing we have 3 columns, we have 2^3 = 8 rows. We start by putting putting truth values for p, q, and r respectively

Next, we find ~p, then find (p ∨ q), then find ~p ∧ (p ∨ q), before finally arriving at the required [~p ∧ (p ∨ q)] → q

TERMINOLOGIES AND SYMBOLS

- T means Truth

- F means False

- ~p means negation of p.

~p is F if p is T, and vice versa

- ∧ means conjunction.

p ∧ q is T only if p is T and q is T.

- ∨ means disjunction.

p ∨ q is T if either p or q is T.

- → is for conditional 'if then'

p → q is T if both p and q are T, or both p and q are F, or p is F and q is T, otherwise, it is F.

THE STEP BY STEP WORKINGS FOR THE STATEMENTS GIVEN ARE IN THE ATTACHMENT.

8 0

3 years ago

Read 2 more answers

What is the reference angle of -200

Anna71 [15]

-20 would be the answer

7 0

3 years ago

Read 2 more answers

Blairs new computer cost 5$ less than twice the cost og her old computer. Her new computer cost 709$. how much did blairs old co

Phantasy [73]

The cost of old computer is $ 357

<em><u>Solution:</u></em>

Let "x" be the cost of old computer

From given,

Cost of new computer = $ 709

Blairs new computer cost 5$ less than twice the cost of her old computer

Therefore,

Cost of new computer = twice the cost of old computer - 5

Cost of new computer = 2x - 5

709 = 2x - 5

2x = 709 + 5

2x = 714

Divide both sides by 2

x = 357

Thus the cost of old computer is $ 357

8 0

4 years ago

Can i get some help ::

Eduardwww [97]

Answer:

last option

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3 0

2 years ago

Help me with this please ​

Help me with this please