Answer: The trip should take 3.5 hours.
Step-by-step explanation: To find the time, divide the distance by the rate. In this case, 210/60 = 3.5.
Answer:
x = -3 +/- square root(22)
Step-by-step explanation:
x = -b +/- square root(b^2 - 4ac) / 2a
ax^2 + bx + c = 0
these are both the quadratic formula but one is solved for the x and another for 0
a= 1
b= 6
c = -13
x= -6 +/- square root( 6^2 - 4(1)(13)) / 2(1)
x = -6 +/- sqrt( 36 + 52) / 2
x= -6 +/- sqrt (88) / 2
sqrt of 88 = 2 x sqrt (22)
divide 2 on each
x= -3 +/- sqrt (22)
Answer:
7 packets of grass seed
Step-by-step explanation:
First, find the area of the circular lawn using the formula, A = r²
If the diameter is 20 meters, the radius is 10 meters.
Plug in 10 as the radius and solve for the area:
A = r²
A = (10²)
A = 100
So, the area of the lawn is 100 m² or approximately 314.16 m²
Divide this by 50 to find how many packets of grass seed are needed:
314.16/50
= 6.28
Round this up to 7, since we need to have a whole number answer.
So, 7 packets of grass seed have to be bought.
Given:
64 total students
x = drama club students
y = yearbook club students
x = y + 10
y = 64 - x
y = 64 - x
y = 64 - (y + 10)
y = 64 - y - 10
y + y = 64 - 10
2y = 54
2y/2 = 54/2
<span>y = 27
</span>x = y + 10
x = 27 + 10
<span>x = 37
</span>To check:
x + y = 64
37 + 27 = 64
64 = 64
Your answer would be x = 12
The triangle sum theorem states that the 3 angles in a triangle equal 180.
Since we have a 90 degree angle shown, we can add it to the other two and set it equal to 180.
30+90+6x-12=180
108+6x=180
6x=72
x=12