Please answer and put how
Answers
m/4 = -3 (multiply both sides by 4)
m = -12
Can plug in to original equation to check work:
6 - 12/4 = 3
6 - 3 = 3
3 = 3
The answer m = -12 checks out
subtract 6 from both sides
then multiply both sides by 4
because if you multiply something to one side you have to do it to the other one too
m = -12
you can then check work like this
6 - 12/4 = 3
6 - 3 = 3
3 = 3
(m = -12 subtract 6 from both sides)
(m/4 = -3 then you multiply both sides by 4)
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Pythagoras was born about 582 BC. Isaac Newton was born in 1643 AD. How many years apart where they born
What is the range of #17
A car and a girl are 50 miles apart. The girl is traveling at 5 mph and the car is traveling at 45 mph. Will their paths cross? If so, when?
42 is 30%of what number
Determine the area, in square meters, of the new rectangular garden.
Answers
The square area is expressed as:
A = a²,
where A is the area of the square, and a is the side of the square.
The rectangle area is expressed as:
A₁ = a₁ · b₁,
where A₁ is the area of the rectangle, and a₁ and b₁ are the sides of the rectangle.
After renovations, square garden becomes rectangular.
One side is doubled in length:
a₁ = 2a
The other side is decreased by three meters.
b₁ = a - 3
The new area is 25% than the original square garden:
A₁ = A + 25%A =
= A + 25/100·A
= A + 1/25·A
= a² + 1/25·a²
= a² + 0.25·a²
= 1.25·a²
If the starting equation is:
A₁ = a₁ · b₁
Thus, the equation is:
1.25a² = 2a·(a - 3)
1.25a² = 2a · a - 2a · 3
1.25a² = 2a² - 6a
Therefore, the equation that could be used to determine the length of a side of the original square garden is:
2a² - 6a = 1.25a²
Now, we will solve the equation:
2a² - 6a = 1.25a²
2a² - 1.25a² - 6a = 0
0.75a² - 6a = 0
⇒ a(0.75a - 6) = 0
From here, one of the multiplier must be zero - either a or (0.75a - 6). Since a could not be zero, (0.75a - 6) is:
0.75a - 6 = 0
0.75a = 6
a = 6 ÷ 0.75
a = 8
If the side of the square is 8, then the area of the rectangle is
A₁ = 1.25 · a²
A₁ = 1.25 ·8²
A₁ = 1.25 · 64
A₁ = 80
Therefore, the area of the new rectangle garden is 80 square meters.
Answers
Let's write out what we do know...
70% of the people are under 16 years old
From this information, we can infer that 30% of the people are 16 or older.
100%-70%=30%
1/3 of the people 16 or older are teachers. There are 21 teachers.
1/3 of 30% is 10%
1/3*.30=.10 or 10%
So 21 is 10% the total number of people at the fair.
(I cross multiplied and then divided both sides by 10 to get x=210)
There are 210 people at the fair.
a third of 30% is 10%
so 10% are teachers
21 (amount of teachers) × 10 = 210
answer = 210
-3x-2=25
A. The equations have the same solution because the second equation can be obtained by subtracting 6 from both sides of the first equation.
B. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
C. The equations have the same solution because the second equation can be obtained by subtracting 19 from both sides of the first equation.
OD. The equations do not have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
Answers
Answer:
B
Step-by-step explanation:
If you add 6 to both sides, you get -3x-8+6=19+6 which is then -3x-2=25
A.) The ball traveled a total distance of 50 yards.
B.) The ball traveled a total distance of 70 feet.
C.) The ball reaches a maximum height of 50 feet.
D.) The ball reached a maximum height of 70 yards.
Answers
Answer:
D. The ball reached a maximum height of 70 yards.
Step-by-step explanation:
The total distance is the arc length of the parabola. The point indicates the vertical and horizontal position with respect to launch point. (Horizontal distance - 50 feet, Vertical distance - 70 yards). According to the figure, the object reached maximum height. Therefore, the right answer is D.
Answer:
D.) The ball reached a maximum height of 70 yards.
Step-by-step explanation:
The point (50, 70) was the peak point on the graph. Since the y-axis represent how high the ball was, 70 is the max height.
Answers
60 divided by 3 is 20
So each person gets $0.20
Answers
Yes, it's the same.