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Mariana [72]
3 years ago
8

A student's work to solve an equation is shown.

Mathematics
2 answers:
Leto [7]3 years ago
8 0

Answer:

Incorrectly , one solution

Step-by-step explanation:

The final solution of student is 2 = 2 which is a true statement, i.e. equation has infinitely many solution,

Given equation,

\frac{1}{8}(40x+16)=9x-7(2x-1) -5

5x + 2 = 9x - 14x + 7 -5 ( by distributive property )

5x + 2 = -5x +2

5x + 5x = 2 - 2

10x = 0

\implies x = 0

Hence, the equation has a solution which is 0.

Therefore, the student solved the equation incorrectly because the original equation has one solution(s).

zvonat [6]3 years ago
6 0

Answer:

the student solved the equation incorrectly because the original equation has one solution

Step-by-step explanation:

1/8(40x + 16) = 9x − 7(2x − 1) − 5

<em>use the distributive property a(b + c) = ab + ac</em>

(1/8)(40x) + (1/8)(16) = 9x + (-7)(2x) + (-7)(-1)

5x +2 = 9x − 14x + 7 − 5       <em>combine like terms</em>

5x + 2 = (9x - 14x) + (7 - 5)

<em>here the student make mistake 9x - 14x = 5x</em>

5x+2=-5x+2    <em>add 5x to both sides and subtract 2 from both sides</em>

5x + 5x + 2 - 2 = -5x + 5x + 2 - 2

10x = 0          <em>divide both sides by 10</em>

10x/10 = 0/10

x = 0

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Complete Questions:

<em>Create an equation with a solution closest to 0 using digits 1 to 9 </em>

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<em></em>

Answer:

See Explanation

Step-by-step explanation:

Given

_x + _ = _x + _

Required

Fill in the gap using 1 to 9 to give a result close to 0

First, you have to determine what kind of numbers that are close to 0;

In this case, I'll work with -0.4 to 0.4 because the number in this range approximate to 0;

Next, is to fill in the gaps using trial by error method

5x + 2 = 2x + 3

Checking the above expression

<em>Collect Like Terms</em>

<em></em>5x - 2x = 3 - 2<em></em>

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Divide equation by 2

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Another trial is

6x + 8 = 2x + 7

Checking the above expression

<em>Collect Like Terms</em>

<em></em>6x - 2x = 7 - 8<em></em>

4x = -1

Divide equation by 4

x = -0.25 <em>(Approximated)</em>

<em>I'll stop here but note that, there are more expressions that can fill in the gaps</em>

6 0
3 years ago
A principal of $4,570 is placed in an account that earns 4.5% interest. If the interest is compounded annually, how much money w
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4 0
3 years ago
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What is the solution of the system? Use substitution.
trasher [3.6K]

Hi

4x-y=5

3x-7=2

We need to solve 3x-7=2 for x

Let's start by adding 7 to both sides

3x-7+7=2+7

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Now just divide both sides by 3 so we can find the value for x

3x/3=9/3

x=3

Now substitute 3 for x in 4x-y=5

4x-y=5

(4)(3)-y=5

-y+12=5

Now add -12

-y=12-12=5-12

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Divide both sides by -1 so we can eliminate the negative sign

-y/-1=-7/-1

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6 0
3 years ago
A hamster running in a wheel of radius 13 cm spins the wheel at 35 revolutions per minute.
crimeas [40]

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5 0
3 years ago
seven less than the product of twice a number is greater than 5 more the same number which integer satisfies this inequality
JulsSmile [24]
To answer this question, we would have to use algebra.

Let the unknown number be A.

Now, as per the question, we have the equation -> 
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So, the final answer is --> A > 12

4 0
3 years ago
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