MATHEMATICS HIGH SCHOOL

2x+5y=34, x+2y=14
solve the system of linear equations

Answers

Answer 1
Answer: x=2 and y=6   i hope this helps

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For f(x) = -10x + 8, what is the value f(-5)?A. f(-5) = 58
B. f(-5) = -42
C. f(-5) = -58
D. f(-5) = 50

Answers

Answer:

Step-by-step explanation:

put the -5 for the x

-10.-5 +8

50+8

58

Is 4xy + 2y = 9 linear ? If yes write the equation in standard form & determine the x & y interests

Answers

no it is not. if that y by the x wasn't there then yes it would be

Final answer:

Yes, the equation 4xy + 2y = 9 is linear. Its standard form is 4xy + 2y - 9 = 0. The x-intercept is (2.25, 0) and the y-intercept is (0, 4).

Explanation:

Yes, the equation 4xy + 2y = 9 is linear. To write it in standard form, we can rearrange the terms to bring them all to one side of the equation:



4xy + 2y - 9 = 0



The x and y intercepts can be determined by setting either x or y to 0 and solving for the other variable. Let's set x = 0:



2y - 9 = 0



Solving for y, we get y = 4. So the y-intercept is (0, 4).



Next, let's set y = 0:



4x + 0 - 9 = 0



Solving for x, we get x = 2.25. So the x-intercept is (2.25, 0).

Learn more about Linear equations here:

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John has a $1000 bond with a 3% coupon. How much interest will John receive for this bond every 6 months?

Answers

The interest of the bond  for 6 months is $15. This is computed as 3% of 1000 is $30. Then since it is only for 6 months, $30 divided by 12 months and multiplied by 6, which is equal to $15

Rachna has nickels, dimes, and quarters in her piggy bank. She has $4.65 altogether. She has three more quarters than dimes and twice as many nickels as quarters. How many quarters does Rachna have? a.8
b.11
c.22
d.41

Answers

the value of the coin times the number of coins equals the total value
so
0.05n + 0.10d + 0.25q = 4.65

the we are given that there are "three more quarters than dimes"
this translates to
q = d + 3
or
d = q - 3

then we are also given that there are "twice as many nickels as quarters"
this translates to
n = 2q

we plug d = q - 3 and n=2q
into the first equation and solve for q
0.05(2q) + 0.10(q-3) + 0.25q = 4.65

we distribute/multiply
0.10q + 0.10q - 0.30 + 0.25q = 4.65

then add like terms
0.45q - 0.30 = 4.65

then add 0.30 to both sides
0.45q = 4.95

then divide both sides by 0.45
and we get
q = 4.95/0.45 = 11

therefore there are 11 quarters

What is f + 3pie = 7pie ?

Answers

I think I conducted the equation correctly (:

f = 12.56

Of the 250 sheep in the flock, 34% are gray. What is the total number of gray sheep in the flock?

Answers

Answer:

85 sheep are grey

Step-by-step explanation:
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