Find the value of x with explanation please

Find the student’s error in solving the following inequality.

Mars2501 [29]

Answer:

The correct option is:

The student should have switched the direction of the inequality sign to get –5> x for a final answer

Step-by-step explanation:

The students has made a mistake in the 3rd step.

We know that when we multiply or divide any negative number on both sides of the inequality, the sign of inequality reverse its direction.

In step 3 the student divided 25 by -5 but did not switch direction of the inequality sign.

Therefore the correct option is: The student should have switched the direction of the inequality sign to get –5> x for a final answer

5 0

2 years ago

Please help... ABCD is a quadrilateral

IgorC [24]

A ———————————————————

3 0

2 years ago

aura, brian and eric have a total of $86 in their wallets. eric has 2 times what brian has. laura has $6 less than brian. how mu

Law Incorporation [45]

Answer:

The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46 .

Step-by-step explanation:

The sum of total money does Aura , Brain , Eric have = $86

The money that Eric has = 2 times money that Brain has

The money that Aura has = $6 less than that Brain has

Let The money that Aura has = $A

Let The money that Brain has = $B

Let The money that Eric has = $E

Now, According to question

∵ Sum of total money does Aura , Brain , Eric have = $86

So, $A + $B + $E = $86

Or, A + B + E = 86 .........1

Again

E = 2 × B ..........2

Again

A = B - 6 ..........3

So, (B - 6) + B + 2 B = 86

Or, (B + B + 2 B) = 86 + 6

Or, 4 B = 92

∴ B = $\dfrac{92}{4}$

i.e B = 23

So,The money that Brain has = B = $23

Putting the value of B in eq 2

∵ E = 2 × B

So, E = 2 × 23

Or, E = 46

So,The money that Eric has = E = $46

Putting the value of B in eq 3

∵ A = B - 6

So, A = 23 - 6

Or, A = 17

So,The money that Aura has = A = $17

Hence, The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46 . Answer

6 0

2 years ago

(2.0 x 104)(3.02 x 109) simplified form

kykrilka [37]

Answer:

68469.44

Multiplication is commutative so can be multiplied anyway

(2.0× 109)(3.02×104)

2.0 can be written as ( 20÷ 10) and 3.02 can be written as (302÷ 100)

(2× 109){(3.02÷ 100)× 104]

(218)(7852÷ 25)

68469.44

5 0

3 years ago

PLEASE HELP!!!

Novosadov [1.4K]

$\bf \qquad \qquad \textit{sum of an infinite geometric serie}
\\\\
S_n=\sum\limits_{i=1}^{\infty}\ a_1\cdot r^{i-1}\implies S=\cfrac{a_1}{1-r}\quad 
\begin{cases}
a_1=\textit{first term's value}\\
r=\stackrel{0\ \textless \ |r|\ \textless \ 1}{\textit{common ratio}}
\end{cases}$

$\bf \sum\limits_{n=1}^{\infty}~3\left(\frac{1}{4} \right)^{n-1}~~
\begin{cases}
a_1=3\\
r=\frac{1}{4}
\end{cases}\implies S=\cfrac{3}{1-\frac{1}{4}}\implies S=\cfrac{\quad 3\quad }{\frac{3}{4}}
\\\\\\
S=\cfrac{\underline{3}}{1}\cdot \cfrac{4}{\underline{3}}\implies S=4$

7 0

3 years ago

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