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AnnyKZ [126]
3 years ago
12

At Prairie Middle School, 120 of the 450 students ride their bikes to school each day. Which fraction represents the ratio of st

udents who ride their bikes to total students at Prairie Middle School?
a. 14

b. 29

c. 15

d. 415
Mathematics
1 answer:
stellarik [79]3 years ago
6 0
I think it might be d.)
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How many solutions does the equation below have.<br> *The answer choices are below*
Natali [406]
<h3>Answer: D) One solution</h3>

==========================================

Work Shown:

2(b+3)-17 = 3b-7+b

2b+6-17 = 4b-7

2b-11 = 4b-7

-11+7 = 4b-2b

-4 = 2b

2b = -4

b = -4/2

b = -2

There is one solution and it is b = -2

A quick way to tell we have one solution is to note that both sides are a linear expression, and that the slopes of each linear expression are different values. If you had two lines with the same slope, then you'd have either parallel lines or coinciding lines (leading to no solutions and infinitely many solutions respectively). When you have two lines with two different slopes, then they are guaranteed to intersect only once. That intersection point is the solution.

5 0
2 years ago
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What is the value of X
snow_lady [41]

180 - 70 - 42 = 68

x = 68 degrees

8 0
3 years ago
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Luis wants to buy a skateboard that costs $89.99. He has $30 saved. He wants to save $11 each week until he has enough money to
Nesterboy [21]

Answer:

first you would have to subtract $89.99 - $30 to get $69.99 then multiply 11 x 7 to get 77. the answer is 7 weeks

6 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.
devlian [24]
<h3>Answer:</h3>

4, 1, 2, 3 . . . . . the systems of equations corresponding to the given solutions, in order

<h3>Step-by-step explanation:</h3>

When there are this many to do, it is convenient to let a calculator or spreadsheet help. Most will work best with integer coefficients, so the pairs of equations can be written ...

1.

  • x - y = 25
  • 2x + 3y = 180 . . . solution (51, 26)

2.

  • 2x - 3y = -5
  • 11x + y = 550 . . . solution (47, 33)

3.

  • x - y = 19
  • -12x + y = 168 . . . solution (-17, -36)

4. Here, we have a problem. The given equations don't match any solutions. The only remaining solution is (-31, -56), and it gives a value of -6 for the first equation, not 6. The second equation needs parentheses to make it work. We think your problem is ...

... 2x -y = -6, (x -305)/3 = 2y

Recast the way the others are above, these equations become ...

  • 2x - y = -6
  • x - 6y = 305 . . . solution (-31, -56)

_____

<em>Comment on solution to systems of equations</em>

The solution to ...

  • ax +by = c
  • dx +ey = f

is ...

  • x = (bf -ec)/(bd -ea)
  • y = (cd -a·f)/(bd -ea) . . . . . (same denominator as for x)

This is a modified form of Cramer's rule. It is modified in that both numerator and denominator have the terms swapped (are the negative of the terms in the classic Cramer's rule). This form can be easy to remember, as the pattern is fairly simple. (Look at where the coefficients are in the equations. Use your spatial memory to remember the pattern.)

<u>Example</u>:

Applying these solution equations to system (4), we have ...

... x = ((-1)·305 -(-6)(-6))/((-1)·1 -(-6)·2) = -341/11 = -31

... y = ((-6)·1 -305·2) = -616/11 = -56

6 0
3 years ago
Read 2 more answers
PRE ALGEBRA HELP PLEASE!!
nadya68 [22]
2/3 is the next term


5 0
2 years ago
Read 2 more answers
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