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VikaD [51]
2 years ago
10

Evaluate the following expressions given x=6 and y=-3

Mathematics
1 answer:
Nana76 [90]2 years ago
7 0

a.

\purple{5 \times 6 - 4 \times ( - 3)}

= 30 + 12

\blue{ =  \boxed{42}}

b.

\purple{ {6}^{2}  +  \frac{6}{ - 3} }

= 36 - 2

\blue{ =  \boxed{34}}

c.

\purple{(6 - 5 {)}^{3}  +  {( - 3)}^{2} }

=  {1}^{3} + 9

= 1 + 9

\blue{ =  \boxed{10}}

<h2>=============================</h2>

Hope it helps

<h2>=============================</h2>
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The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.
Alenkasestr [34]

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be 4\,in\,:\,5\,ft and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale (r), measured in inches per feet, is equivalent to the following rational number:

r = \frac{4\,in}{5\,ft}

We can convert each length by dividing it by scale factor. That is:

Length

l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }

l' = 20\,ft

Width

w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }

w' = 31.25\,ft

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

8 0
3 years ago
If a system of linear equations has no solution, then
Natali5045456 [20]

Answer:

If a system of linear equations has no solution,then it is said to be inconsistent.The graphs of the lines do not intersect,and therefore  the graphs are parallel and there is no solution.

Step-by-step explanation:

If a system of linear equations has no solution,then it is said to be inconsistent.The graphs of the lines do not intersect,and therefore  the graphs are parallel and there is no solution.

5 0
3 years ago
Read 2 more answers
Simplify 9y+2y-5y please answer
Brums [2.3K]

Answer:

9y+2y-5y=6y

Step-by-step explanation:

So we have the expression:

9y+2y-5y

To simplify, simply combine the like terms. Therefore:

9y+2y-5y\\=11y-5y\\=6y

Further notes:

To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

9y+2y-5y

Now, factor out a y from the three terms:

=y(9+2-5)

Do all the operations inside the parenthesis:

y(9+2-5)\\=y(11-5)\\=y(6)=6y

And we moved the y back to the front!

This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!

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Answer:

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Step-by-step explanation:

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