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Alex73 [517]
3 years ago
9

Here is a system of linear equations:

Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0

Step-by-step explanation:

6x + 21y = 103

-6x + 23y = 51

The signs of the x coefficients are opposite.  So adding the equations will eliminate the x terms.

44y = 154

y = 3.5

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A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist
Dvinal [7]

Answer:

The phrase that best describes the the line representing the relationship between the number of balloons remaining and the number of hats created is:

  • Negative slope.
  • Constant slope.
  • Decreasing function.

Step-by-step explanation:

We are given a graph that represents the relationship between the Number of Balloons Hats and the number of balloons remaining.

Clearly from the graph we could that it is  a linear function.

Also, the function is a decreasing function since with the increase of one variable that is the number of Balloon hats produced the other variable i.e. Balloons remaining is decreasing.

Also, we can calculate the slope of the line.

as the line is passing through (0,500) and (100,0)

Hence, the slope of line is:

Slope=\dfrac{0-500}{100-0}\\\\Slope=\dfrac{-500}{100}\\\\Slope=-5

Hence, the graph has a negative slope.

Also, we know that a slope of a line is always constant.

So, the correct statements are:

Negative slope.

Constant slope.

Decreasing function.

5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!! Take 2y 2 - 3y - 5 from y 3 - 6y 2 + 5y. Select the correct answer.
ss7ja [257]

Answer:

(D) y³ - 8y² +8y +5

Step-by-step explanation:

y³ - 6y²+ 5y - (2y²- 3y - 5 ) = y³ - 6y² + 5y - 2y² + 3y +5 = y³ - 8y² +8y +5

8 0
3 years ago
A square pyramid has a height of 9 cm and a volume of 75 cm3. What is the length of a side of the base
defon
Your answer is 5, you use the formula for a pyramid
7 0
3 years ago
Plot of land between two roads are laid out according to the boundaries shown. The boundaries between the two roads are parallel
FinnZ [79.3K]
Given: 
                Cheshire Road           Shelby Road
Plot 1           40 yards                       48 yards
Plot 3                x                                56 yards


To solve for x, we get the ratio and proportion of both plots.

40/48 = x/56

Do cross multiplication.

40 * 56 = 48 * x
2,240 = 48x
2,240/48 = 48x/48
46.67 = x

Plot 3 of Chesire Road measures 46.67 or 46 2/3 yards.  Choice A. 


5 0
3 years ago
Read 2 more answers
Prime factor of 2080
MariettaO [177]

Answer:

2 x 2 x 2 x 2 x 2 x 5 x 13

Step-by-step explanation:

The Prime Factorization is:

2 x 2 x 2 x 2 x 2 x 5 x 13

In Exponential Form:

25 x 51 x 131

CSV Format:

2, 2, 2, 2, 2, 5, 13

7 0
2 years ago
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