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VikaD [51]
3 years ago
8

Which of the following best describes the solution to the system of equations below?

Mathematics
1 answer:
OverLord2011 [107]3 years ago
3 0

Answer: OPTION A

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m is the slope and b the y-intercept.

Solve for y from each equation:

\left \{ {{5y=-4x+7} \atop {10y=-8x+14}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-8}{10}x+\frac{14}{10}}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-4}{5}x+\frac{7}{5}}} \right.

As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.

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Tawana has $325.54 in her checking account. She must keep a balance of at least $300 to avoid a fee. She plans to write a check
den301095 [7]

Answer: To pay her bill with the minimum balance to avoid the fee, she needs the total amountof $300+$125.43=$425.43. But she only has $325.54. So, the extra minimum amount she needs to deposit is 425.43-325.54=$99.89.

Hence, the answer is $99.89.

6 0
3 years ago
Read 2 more answers
A train leaves at 14:56 and arrives at 16:43. It travelled at an average speed of 135 km/h. How far did it travel? Give your ans
Firlakuza [10]

Answer:

240.8

Step-by-step explanation:

→ Calculate time taken

16:43 - 14:56 = 1 hour and 47 minutes

→ Write the speed formula and make distance the subject

Speed = Distance ÷ Time ⇔ Distance = Speed × Time

→ Convert 1 hour and 47 minutes into decimal format

1.78333333 or  1\frac{47}{60}

→ Substitute values into formula

135 ×  1\frac{47}{60}  = 240.75

8 0
3 years ago
3) -5
xxMikexx [17]

Answer:

Constant monomial

Step-by-step explanation:

Monomial means that there is only one term, so constant trinomial cannot be correct.

Quintic monomials have a degree of 5 and quadratic monomials have a degree of 4, but this has a degree of zero, so this must be a constant monomial.

I hope this helps you. Have a nice day.

8 0
3 years ago
Round 13,046 to the nearest thousand.
Margaret [11]

Answer:

13,000

Step-by-step explanation:

When rounding, first:

Find the place value that you are looking for, in this case, being the thousands place value. It is a 3:

1<u>3</u>,046

When you round, you will look at the place value directly next to the one you are trying to find (which is the thousands place value). In this case, it will be the hundreds place value, which has the value of 0.

When the value of the number is 5 or greater, you round up.

When the value of the number is 4 or less, you round down.

In this case, it is 0, which is less than 4, so you round down.

13,046 to the nearest thousand place value is 13,000.

~

8 0
2 years ago
Read 2 more answers
A wireless cafe charges $5.40 for 3/4 hour of Internet access. How much does the cafe charge per hour?
Debora [2.8K]
5.40/x=0.75/1

cross multiply:
0.75x=5.40

divide:
0.75x/0.75=5.40/0.75

x=$7.20

just to check:
5.40/3=1.8

1.8*4=7.2

the answer is $7.20 for 1 hour
5 0
2 years ago
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