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ale4655 [162]
3 years ago
10

Bernard solved the equation 5x+(-4)=6x+4 using algebra tiles. Which explains why Bernard added 5 negative x-tiles to both sides

in the first step of the solution?
A) He wanted to create zero pairs on the left side of the equation to get a positive coefficient of x on the right side.

B) He wanted to combine more negative tiles with the 4 negative tiles on the left side of the equation.

C) He wanted to remove the larger coefficient on the left side of the equation.

D) He wanted to have 10 x-tiles on the left side of the equation.
Mathematics
2 answers:
densk [106]3 years ago
7 0
A) He wanted to create zero pairs on the left side of the equation to get a positive coefficient of x on the right side
Westkost [7]3 years ago
6 0
To find why he would do this, we need to understand what all the possible first steps are in this equation.

You could add 4 to both sides.
You could subtract 4 from both sides.
You could subtract 5x from both sides.
You could subtract 6x from both sides.

Any of these work. In Bernard's case, he added 5 negative x tiles, meaning he subtracted. C and D already make no sense, but allow me to further explain. By him subtracting 5x from both sides, the equation turns into:

-4 = x + 4

By this point, he can just subtract 4 from both sides to find the value of x. But the question asks for why he did the first step. Therefore, it would be A.
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Last year 120 students went on the annual school trip to Fiorida. This year. 225 students went What was the percent increase of
Tju [1.3M]
Percent change formula states that

((New-old)/old) x 100 = the percent change / percent increase
So if we take your equation and plug it into our formula

((225-120)/120) x 100

(105)/120 x 100

.875 x 100

87.5 % increase of students on the trip

Hope this helps!
8 0
1 year ago
Among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a ma
scoundrel [369]

Answer:

Step-by-step explanation:

Given that among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a mathematics course, and 123 are enrolled in both an economics and a mathematics course.

From the above we find that

a) either economics of Math course is

315+213-123 =405

Out of 500 students 405 have taken either Math or Economics

Hence

c) student who have taken neither = 500-405 =95

Exactly one course is either math or economics - both

= 405-123 = 282

3 0
3 years ago
It is estimated that 28.5% of automobile crashes are caused by driver distraction, such as texting. If there are 16,370 automobi
frez [133]

Answer:

4665 approx

Step-by-step explanation:

Given data

Total number of crashes=  16,370 automobile crashes

Percentage caused by distraction =28.5%

Let us find the number of crashes caused by distraction

=28.5/100* 16,370

=0.285* 16,370

=4665.45

Hence the number of crashes caused by distraction is 4665 approx

6 0
2 years ago
Select the correct answer from each drop-down menu. In the figure, x = , y = , and z = .
alexdok [17]
X= 95
z=180
y=147

based on from making sure each triangle added up to 180 degrees and with the outer angles
8 0
3 years ago
Read 2 more answers
The demand for video recorders has been estimated to be Qv = 134 − 1.07Pf + 46Pm − 2.1Pv − 5I, where Qv is the quantity of video
stepladder [879]

Answer:

The Video recorders are inferior goods.

Step-by-step explanation:

As Q_{v} =134-1.07Pf+46Pm-2.1Pv-5I

where;

The price of the recorders films are increasing by a term 1.07 which gives that the Price is increasing by a little. Also adding the Price of video recorder is increasing by a factor 2.1 and the Revenue or income is increasing by a term 5 (Which is high) so, revenue and price are increasing leaving the quality of the voice recorder decreasing by a large margin for maintaining the balance.

As

                               Revenue =price*Quality

So, in conclusion the quality decreases and thus the video recorders are inferior goods.

5 0
3 years ago
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