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madreJ [45]
3 years ago
6

List some similarities and differences between two-variable systems of linear equations and of linear inequalities. what similar

ities and differences do you think there might be in the solutions to these systems? ANSWER ASAP please n ty
Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0
An equation solution is simply the limit for an inequality. So if it is a < or > then the solution does not include the solution for the quation, but everything below or above it (depending on the sign of the inequalities). If the inequality is <= or => then the solution would include the solutions for the equation.
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A man drove 15/4 miles from his home to his office. He then went out for lunch to a nearby restaurant 2/3 miles from his office
Genrish500 [490]
Let's get all of the distances lined up:

\frac{15}{4} = home to office
\frac{2}{3} to a restaurant
\frac{2}{3} back to the office
2 = store
\frac{11}{6} = back home

So then we just add up all of the numbers. However we need to make sure that there is a common denominator. Let's make the common denominator 12, since that is a common factor to all of the denominators in the problem:

\frac{45}{12} = home to office
\frac{8}{12} to a restaurant
\frac{8}{12} back to the office
\frac{24}{12} = store
\frac{22}{12} = back home

Then let's add them up:

\frac{45}{12} + \frac{8}{12}+ \frac{8}{12}+ \frac{24}{12}+ \frac{22}{12}= \frac{107}{12} miles

This does not reduce to a nice number, however, we can simplify to:

8 \frac{11}{12}miles
5 0
3 years ago
To solve the system of equations by elimination, what could you multiply each equation by to cancel out the x-variable?A:6x-3y=-
Novay_Z [31]

Answer:

Step-by-step explanation:

You could multiply all of equation A by 1/6 and all of equation b by -1/4 to get

A. x-3/2y=-1/3 and B. x+1/4y=/5/4, then subtract the equations from each other to solve

8 0
3 years ago
If PR=40, what are PQ and QR?
RUDIKE [14]

Answer:

B

Step-by-step explanation:

I did it in my head but pretty much just add the 5x-2 and x+ 12 then set it equal to 40. u get x = 5. plug x back in and you get 23 and 17

8 0
3 years ago
Read 2 more answers
What is 2/3 x (9+12)
GalinKa [24]
2/3 x (9+12) is 14. Hope it helps :)
3 0
3 years ago
Mr.Nguyen bought a suit that was on sale for 40% off the original price.He paid 9% sales tax on the sale price. The original pri
monitta

Answer: The total amount that he paid for the suit is $170

Step-by-step explanation:

The original price of the suit was $260.

Mr.Nguyen bought a suit that was on sale for 40% off the original price. This means that the amount of discount in the suit is

40/100 × 260 = 0.4 × 260 = $104

The sale price would be

260 - 104 = $156

He paid 9% sales tax on the sale price. This means that the amount of sales tax that he paid is

9/100 × 156 = 0.09 × 156 = $14.04

The total amount that he paid for the suit, including tax is

156 + 14.04 = $170 to the nearest dollar

7 0
4 years ago
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