y = 3x - 11
y = 3x - 7
y = -1/3x - 9
Parallel lines have the same a slope. Therefore if
k: y = 3x - 6 → slope = 3
and l: y = mx + b
l || k ⇔ m = 3
l: y = 3x + b
We have the point (-6, -7). Put the coordinates to the equation:
-7 = 3(-6) + b
-7 = -18 + b add 18 to both sides
11 = b → b = 11
2x+5y = 3y+8
Answer:
y = -x +4
Step-by-step explanation:
2x+5y = 3y+8
Subtract 3y from each side
2x+5y-3y = 3y-3y+8
2x+2y = 8
Subtract 2x from each side
2x+2y -2x = -2x+8
2y = -2x+8
Divide by 2
2y/2 = -2x/2 +8/2
y = -x +4
On Solving equation in one variable 0.4x = 5.2, we found that the clerk returned 13 dimes, 34 quarters and4 nickels in change of $10 bill.
What is an linear equation in one variable?
Linear equation is an equation containing one variable with power one and constants.
Standard form of an linear equation in one variable x is :
ax + b= 0 , a, b are constants
x= -b/ a is solution if this equation. Linear equation can be solved by adding or subtracting , multiplying , division same number to both sides.
A clerk need a change of $10 bill
Let the clerk returned x dimes and y nickels and z quarters to pay $10
Value of one nickel = $ 0.05, one dime = $ 0, one quarter = $ 0.25
Value of x dimes becomes 0.1x
Value of y nickels becomes 0.05 y
value of z quarters becomes 0.25 z
Total value of given dimes, quarters and nickels , 0.1 x + 0.05 y + 0.25z = 10
Number of dimes = Number of nickels + 9
∴ x = y +9 ⇒ y = x- 9
Number of quarters = Number of dimes +21
∴ z = x + 21
Put y = x-9 and z = x + 21 in 0.1 x + 0.05 y + 0.25z = 10
Then,
0.1 x + 0.05 ( x-9) + 0.25 (x +21) = 10
⇒ 0.1 x +0.05x -0.45 + 0.25 x + 5.25 = 10
⇒ 0.4x +4.8 = 10
⇒ 0.4 x = 10- 4.8
⇒ 0.4x = 5.2
⇒ x = 5.2/0.4 = 13
Thus , y = x-9 = 13 -9 = 4
z = x + 21 = 13 + 21 = 34
Therefore, the clerk returned 13 dimes , 4 nickels and 34 quarters for $10 bill.
Also, learn more about linear equation from the link below:
#SPJ2
8.7 inches homie I gotcho
30 pounds on the moon.
If on astronaut weights
25 pounds on the moon,
how much would they
weight on earth?
Answer:
150 pounds
180/30=6 so whatever other weight you get will have to be a multiple of 6
25*6=150
Step-by-step explanation:
Answer:*80 pounds
Step-by-step explanation:
25 pounds on Earth
4 pounds on the Moon
=
500 pounds on Earth
? pounds on the Moon
Compare the numerators.
25pounds on Earth
4 pounds on the Moon
=
500pounds on Earth
? pounds on the Moon
To get from 25 to 500, multiply by 20. Multiply the numerator and denominator by 20 to find how many pounds the astronaut would weigh on the Moon.
25 pounds on Earth20
4 pounds on the Moon20
=
500 pounds on Earth
80pounds on the Moon
The astronaut would weigh 80 pounds on the Moon.