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3 years ago

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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3 years ago

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

CaHeK987 [17]

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

R.H.S

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-2(1) - 5 = -2-5 = -7

Hence for x= 1

-(4x-5)+2(x-3) ≠ -2x -5

Because -3 ≠ -7

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

L.H.S

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

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R.H.S

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Hence for x= -1

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Answer:

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

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3 years ago

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Eva8 [605]

Answer:

(- 1, - 1 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

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a translation of 3 units up means adding 3 to the y- coordinate , so

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2 years ago

What is the area of this composite shape?

ankoles [38]

Answer:

A. 132 units²

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,

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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 = 12.

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

To find the height of the larger triangle, we add 4 and 4 together, giving us 8. To find the base, we subtract 6 from 15, giving us 9.

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I'll start with the smaller rectangle underneath the top left triangle:

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60 + 24 + 36 + 12 = 132 units²

132 units² will be your answer.

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

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3 years ago

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Answer:

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Step-by-step explanation:

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Can someone solve and explain this question plz​

Can someone solve and explain this question plz