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BlackZzzverrR [31]
3 years ago
8

Solve the following "two-step" linear equation. x/3-7=-2

Mathematics
2 answers:
RUDIKE [14]3 years ago
7 0

Answer: x=15

Step-by-step explanation:

**Disclaimer** I am not quite sure of the meaning of "two-step", which I assume is the literal meaning of using two steps to solve the linear equation. If I was incorrect, you may point it out and I will redo it.

Given

x/3 - 7 = -2

Add 7 on both sides (Below is one step, I just want to make it clearer for you to understand. When you write your steps, just directly write the second part)

x/3 - 7 + 7 = -2 + 7

x/3 = 5

Multiply 3 on both sides (Below is one step, similar to the step before)

x/3 · 3 = 5 · 3

x = 15

Hope this helps!! :)

Please let me know if you have any questions

OleMash [197]3 years ago
5 0
Firstly add 7 to both sides= x/3= 5
Times by 3 on both sides to get x on its own= x= 15
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A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 5 grams and the amo
krok68 [10]

Answer:

The jeweler made 9 necklaces.

The jeweler made 8 bracelets.

Step-by-step explanation:

x = number of bracelets

y = number of necklaces

17 = x + y

238 = 5x + 22y

Make one of the coefficients, x, the same.

17 = x + y

Multiply this equation by 5.

85 = 5x + 5y

Subtract the equations to get rid of x.

(238 = 5x + 22y) - (85 = 5x + 5y)

(5x - 5x) + (22y - 5y) = 238 - 85

22y - 5y = 238 - 85

17y = 153

y = 153/17 = 9

The jeweler made 9 necklaces. Substitute this back into one of the equations to find x.

17 = x + y

17 = x + 9

17 - 9 = x

x = 8

238 = 5x + 22y

238 = 5x + 22(9)

238 = 5x + 198

238 - 198 = 5x

40 = 5x

x = 40/5

x = 8

The jeweler made 8 bracelets.

8 0
3 years ago
Find the distance between the 2 points (6, - 4) and (2, - 7). Please show me how you found it.
Serga [27]
\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ 6}}\quad ,&{{ -4}})\quad 
%  (c,d)
&({{ 2}}\quad ,&{{ -7}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[2-6]^2+[-7-(-4)]^2}\implies d=\sqrt{(2-6)^2+(-7+4)^2}
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3 years ago
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Then, subtract the area of the rectangle to the area of the triangle
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4 0
2 years ago
naomi's fish is 40 millimeters long. her guinea pig is 25 centimeters long. how much longer is the guinea pig than her fish
horrorfan [7]
Hi there!

The correct answer is 6.25 times.

This is how you get there:

1) First off, you are going to need to have the same unit (either cm or mm). I used millimeters for this problem. 25cm=250mm

2) This next part is very easy to get wrong. You need to figure out what you are dividing, and by what. Simply look at the problem. <span><em>"How much longer is the guinea pig than her fish?" </em>This shows what numbers you should be getting. The guinea pig is 250mm long, where the fish is only 40. This means that her guinea pig should be larger. 250÷40=6.25

If you did this problem the other way, you would've ended up with .16. If you put the sizes into perspective, you will notice that this is highly unlikely.

I hope that I have been able to simplify this problem for you!

Brady
</span>
3 0
3 years ago
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