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earnstyle [38]
3 years ago
13

Can someone solve and explain this question plz​

Mathematics
1 answer:
oee [108]3 years ago
4 0

firstly let's convert the mixed fraction to improper fraction, then hmmm let's see we have two denominators, 5 and 3, and their LCD will simply be 15, so we'll multiply both sides by that LCD to do away with the denominators, let's proceed,

\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{z}{5}-4=\cfrac{7}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15\left( \cfrac{z}{5}-4 \right)=15\left( \cfrac{7}{3} \right)}\implies 3z-60=35 \\\\\\ 3z=95\implies z=\cfrac{95}{3}\implies z = 31\frac{2}{3}

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Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to –2x – 5 by using the steps below.
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Answer:Hope This Helps ☺️

Step-by-step explanation:

She is not correct because she did not substitute the same number in both expressions in Step 1

Step-by-step explanation:

CASE 1: substitute 1 for x to both sides of the equations

L.H.S

-(4x-5)+2(x-3)

-(4 (1) - 5)+ 2(1-3) = - (-1) + 2(-2) = 1 - 4 = -3

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Hence for x= 1

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Because -3 ≠ -7

CASE 2: substitute -1 for x to both sides of the equations

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R.H.S

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Answer:

She is not correct because she did not substitute the same number in both expressions in Step 1

3 0
3 years ago
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under a reflection in the x- axis

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2 years ago
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ankoles [38]

Answer:

<em><u>A. 132 units² </u></em>

<em><u></u></em>

Step-by-step explanation:

The figure has already been broken into chunks, so there is no need to break it up any further.

I'll start with the top left triangle,

Formula for finding the area of triangles: <em>(H x B) / 2</em>

Following this formula, we take the height, 4, and multiply it by the base, 6.

4 x 6 = 24.

Now, we divide the product by 2:

24 / 2 = <em><u>12</u></em>.

We now have the area for the triangle, it is time to move onto the second.

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Now that we've found the area for both triangles, it is time to find the area of the rectangles.

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<em><u /></em>

We have the areas of all the shapes in this figure, all we have left to do is to <u>add them together</u>:

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<u></u>

<u>132 units² will be your answer.</u>

<u></u>

<h2>I hope this helps!</h2>
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