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charle [14.2K]
4 years ago
9

your teacher is giving you a test worth 100 points that contains 40 questions. there are 2point questions on the test. how many

of each type of question are on the test? use t to represent 2ponts and f to represent 4points. what is equation 1 and 2.t=? f=?

Mathematics
1 answer:
kykrilka [37]4 years ago
3 0
100 = 2t + 4f 
40= t + f
-----------
get t or f by itself first.

f = 40 - t : Then substitute it back into for f in the other equation
100 = 2t + 4f 
100= 2t +4(40-t) 
100= 2t + 160 - 4t
100 = -2t + 160
-160           -160

<u>-60 </u>= <u>-2t
</u>-2        -2

t = 30 (Then plug this into either equation to solve for f)

Therefore,
t = 30 questions
f = 10 questions
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When z is divided by 6, the remainder is 4. What is the remain-der when z is divided by 2 ?
Aleksandr [31]

Answer:

12

Step-by-step explanation:

So first, when z is divded by 6 we get 4 left.

So an example for z could be 24.

(24 / 6 = 4)

When z is divded by 2, it would be 12

24 / 2 = 12

(I hope this helps and that you have a nice day!)

4 0
3 years ago
1)
almond37 [142]

Radio Barn : 200 + .15 x  x = the weekly sales

Woofer: 300 + .10x

set them equal to find when they are them same

200 + .15x = 300 + .10x

subtract .10x from both sides

200 +.15x -.10x = 300 + .10x-.10x

200 +.05x = 300

subtract 200 from each side

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.05x = 100

divide each side by .05

.05x/.05 = 100/.05

x =2000

The 2 jobs pay the same when the weekly sales are 2000 dollars


2.  {x - 5 = -y}

{2y - 10 = -2x}

x-5 = -y

add 5 to each side

x = -y+5

multiply each side by -2

-2x = 2y -10

the 2 equations are the same, it has an infinite number of solutions

The system is dependent  since the 2 equations are the same line


3.  {2x = y - 7}

{4x - 2y - 14 = 0}

2x = y-7

subtract y-7 from each side

2x - (y-7) = 0

2x -y+7 =0

multiply by 2

4x -2y +14 =0

subtract the two equations

4x -2y +14 =0

4x - 2y - 14 = 0

---------------------------

               28 = 0

since this cannot happen   the lines will never cross ( parallel lines)

the system is inconsistent

5 0
3 years ago
The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by
siniylev [52]

Answer:

the value of x=33

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2(2x+3)=4x+6 (This is the sum ob both anlgles base)

All angles in a triangle add to 180

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x=33

2(33)+3= 69

69+69+42 = 180

5 0
3 years ago
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