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Fynjy0 [20]
3 years ago
15

Anna and Belle are asked to solve −2x − 15 = 6x + 9. Identify where one of them made an error.

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
7 0
Ok so first you need to identify what you are looking for... you need to find x. 
to do that you need toge it on one side. so cancel out the "-2x" on the left side by adding 2x(on both sides, don't forget you add common variables). now you should have something like this...
-15=8x+9
now all you have to do is get rid of the 9  by subtracting 9 on both sides
you should have 
-24=8x
 With that, all you have to do now is divide 8 into both sides and it should look like a fraction now

-24/8=8x/8
the 8x/8 will cancel out the 8 and you will have 
-24/8=x
Simplify that and you should get
-3=x
need me to explain it with fewer words?
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All the students in a school were weighed. Their average weight was 30.8 kilograms, and their total weight was 16,293.2 kilogram
Zinaida [17]

Answer: 529 students

Step-by-step explanation:

To solve this, we will be using the formula for finding averages:

> (total sum of student weights) ÷ (total sum of students) = (average of student weights)

Plugging in the values that are given in the problem, you get:

> 16,293.2 ÷ x = 30.8

Where x is equal to the total sum of students. From here, it's a simple equation to isolate x, and find out what numerical value x is equal to. In case you are unsure how to do this, I've created a clear step by step process for how to do this (NOTE: The slash represents division, while the asterisk represents multiplication.):

> 16,293.2 / x = 30.8

> (16,293.2 / x) * x = (30.8) * x

> 16,293.2 = 30.8 * x

> (16,293.2) / 30.8 = (30.8 * x) / 30.8

> 529 = x

In total, there are 529 students in the school.

7 0
2 years ago
What is the net decimal equivalent of the series 30/25/15. round to the nearest thousandths?
Brut [27]
<span>We can determine, a 30/25/15 series trade discount would be calculated as follows:

let X = retail price.

X - 0.30 </span>× X = Y    ⇒ first discounted price.
<span>
Y - 0.25 </span>× Y = Z    ⇒ second discounted price.
<span>
Z - 0.15*Z = T        </span>⇒ total discounted price.
<span>
X - 0.30 </span>× X = (1 - 0.30) × X = 0.70 × X = Y
<span>
Y - 0.25 </span>× Y = (1 - 0.25) × Y = 0.75 × Y = Z
<span>
Z - 0.15 </span>× Z  = (1 - 0.15) × Z  = 0.85 × Z = T
<span>
since Z = 0.85 </span>× Y, then 0.85 × Z = 0.85 × 0.75 × Y
<span>
since Y = 0.70 </span>× X, then 0.85 × Z = 0.85 × 0.75 × 0.70 × X
<span>
based on the above, then T = total discount


                                               = 0.85 </span>× 0.75 × 0.70 × X


                                               = 0.44625X<span>

30/25/15 series discount is equivalent to a total discount of 44.625%
</span>
7 0
3 years ago
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