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JulsSmile [24]
2 years ago
10

Jenny & Natasha are working on a problem together: Solve x/3 + 8 = −2. Natasha thinks the first step is to multiply by 3. Je

nny explains that this is not the most efficient way to solve. Explain who is correct & justify your reasoning.
Mathematics
1 answer:
ratelena [41]2 years ago
5 0

The individual that is correct is Natasha. This is because the answer can be gotten using Natasha's method

The given equation is  \frac{x}{3} + 8 = -2

<u><em>Solving the equation using </em></u><u><em>Natasha's</em></u><u><em> method </em></u>

the fist step is to multiply by 2

x + 24 = - 6

The second step is to combine  and add similar terms

x = -24 - 6

x = -30

<u><em /></u>

<u><em>Second method of solving the equation</em></u>

The equation the friends are trying to solve is \frac{x}{3} + 8 = -2

The first step is to combine similar terms

\frac{x}{3} = - 8 - 2

The second step is to add similar terms together

\frac{x}{3} = - 10

The third step is to multiply both sides of the equation by 3

x = (-10 x 3)

x = -30

A similar question was answered here: brainly.com/question/18613652?referrer=searchResults

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A shop makes 3250£ in march in april it makes 3542.50£ what if the percentage increase
babunello [35]

Answer:

1.09

Step-by-step explanation:

3250 x 1.09 =  £3542.50

7 0
3 years ago
Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangl
Whitepunk [10]

Answer:

<u>24 meters</u> is the width of the original rectangle.

Step-by-step explanation:

Given:

Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangle is 30 meters and the reduced rectangle has a length of 9 meters.

Now, to get the width of original rectangle.

The reduced rectangle's perimeter = 30 meters.

The reduced rectangle's length = 9 meters.

Now, we find the width of reduced rectangle by using formula:

Let the width of reduced rectangle be x.

Perimeter=2\times length+2\times width

30=2\times 9+2\times x

30=18+2x

<em>Subtracting both sides by 18 we get:</em>

<em />12=2x<em />

<em>Dividing both sides by 2 we get:</em>

6=x\\\\x=6\ meters.

The width of reduced rectangle = 6 meters.

Now, to get the width of original rectangle:

Let the width of original rectangle be w.

<em>As given, the perimeter of the original rectangle = 120 meters.</em>

<em>And, the perimeter of reduced rectangle is 30 meters and its width is 6 meters.</em>

<em>So, 30 is equivalent to 6.</em>

<em>Thus, 120 is equivalent to </em>w.<em />

Now, to get the width using cross multiplication method:

\frac{30}{6}=\frac{120}{w}

<em>By cross multiplying we get:</em>

<em />30w=720<em />

<em>Dividing both sides by 30 we get:</em>

<em />w=24\ meters.<em />

<em>The width of original rectangle = 24 meters.</em>

Therefore, 24 meters is the width of the original rectangle.

6 0
2 years ago
Read 2 more answers
Shelley wants to purchase a cell phone package, which includes a free phone. The cost of the package is $0.10 per minute, for th
GarryVolchara [31]

Answer:

The function would be linear because the rate of change is constant.

Step-by-step explanation:

Given

Base= \$89.00

Rate = \$0.10 per minute

See attachment for complete question and options

First, we write the function that calculates the cost (C(t)) for t minutes.

This is calculated as:

Cost = Base + Rate * t

C(t) = 89.00 + 0.10 * t

C(t) = 89.00 + 0.10t

Rewrite as:

C(t) = 0.10t + 89.00

A function that has the above format is referred to as a linear function which has the general format

f(x) = mx + b

Where

m represents the slope/rate and it is constant

From the list of given options, (a) is correct.

6 0
3 years ago
Reposting becuase it want let me edit my last one and somebody spam answered it.
harkovskaia [24]

Answer:

5

5Step-by-step explanation:

If you use the distance formula you can solve it pretty easily. The distance formula is:

d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \\

The two points you want are A and D. A is (-1, -4) and D is (3, -1). Plug that into the formula...

d = \sqrt{(3 - (-1))^2 + (-1 - (-4))^2}

d = \sqrt{4^2 + 3^2}

d = \sqrt{16 + 9}

d = \sqrt{25}

5

I can solve it in a different way if you want me to.

8 0
3 years ago
Please do this question
Lerok [7]
I think its 46 srry if im wrong
5 0
2 years ago
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