Answer: See explanation (btw, the answer is always in bold letters)
Step-by-step explanation:
1.) 1 gallon for $1.99
1/2 gallon for $0.98
1 gallon would be 0.98 × 2 = <em>1.96</em>
2 gallons for $3.98
1 gallon would be 3.98 ÷ 2 = 1.99
2.) 621 ÷ 4 = 155.25
He pays $155.25 each payment!
3.) V = s³
s = 3
V = 3³
3 × 3 × 3 = 27
V = 27 m³
4.) This is a rectangle; the area of a rectangle is l × b.
L = 6.9
l × b = a
6.9b = 28.29
Divide both sides by 6.9
b = 4.1
The missing length is 4.1 m
5.) False
Step-by-step explanation:
The center of a circle with 2 end points of a di diameter is the midpoint of the two endpoints.
The formula needed to find the minpoints is
(x,y) = (x2 + x1)/2, (y2 + y1)/2
x2 = 3
x1 = 3
y2 = 0
y1 = -7
midpoint = (3 + 3)/2, (0 - 7)/2
midp[oint = 3,-3.5
The midpoint is the center of the circle. Observe that the signs get changed when entering the values for (x,y)
So far what you have is (x - 3)^2 + (y + 3.5)^2 = r^2
To determine r^2 you need only take the distance from the center to oneof the endpoints.
r^2 = (3 - 3)^2 + (3.5 - 0)^2
r^2 = 3.5^2
r^2 = 12.25
Answer: (x - 3)^2 + (y + 3.5)^2 = 12.25
Answer:
The system of equations is:
x + y = 15
xy = 15
Step-by-step explanation:
solve the first for y and substitute in the second:
y = 15-x
x(15-x) = 15
15x - x� = 15
15x - x� - 15 = 0
-x� + 15x - 15 = 0
x� - 15x + 15 = 0
Answer:
42
Step-by-step explanation:
Find the prime factorization of 126
126 = 2 × 3 × 3 × 7
Find the prime factorization of 420
420 = 2 × 2 × 3 × 5 × 7
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 3 × 7
GCF = 42
Answer: it might be 4 because 5x=20
Step-by-step explanation:
