There are two types of flowers are given: Potted pansies and Marigolds.
Number of Potted pansies flowers sold = 48.
Number of Marigolds flowers = 96.
<em>Total number of flowers sold = Number of Potted pansies flowers sold+Number of Marigolds flowers = 48+96 = 144 flowers.</em>
Fraction of the marigolds flowers sold to the total flowers sold =
.
Reducing it into simplest fraction by dividing top and bottom by 48, we get
.
Therefore,
of the flowers sold were marigolds.
Answer:
x = -4
Step-by-step explanation:
Notice that the two points given, share the same x-value even when the y-value changes. This is because the equation is going to be a vertical line at -4 on the x-axis. Being a vertical line, you cannot take its slope using the slope formula of: <em>m = (y2 - y1) / (x2 - x1)</em> because the denominator will result in a 0 and you cannot divide by 0 in mathematics.
Answer:
11.2
Step-by-step explanation:
x is the length of a radius of the circle, all radii have the same length.
the chord of length 20 is perpendicular to the segment of length 5, so the segment bisects the chord , so half of the chord is length 10.
The segment of length 10 is one leg of a right triangle while the segment of length 5 is the other leg. The hypotenuse is also a radius of the circle.
The length of the hypotenuse can be found by they Pythagorean Theorem, a^2 + b^2 = c^2, so
5^2 + 10^2 = c^2 or
25 + 100 = c^2 or
c^2 = 125 or
c =
= ≈ 11.2
so if one radius is approximately 11.2, then all radii (including the one of length x) are 11.2
Answer:
infinitely many solutions
Step-by-step explanation:
The two sides of this equation are identical. Thus, this is an 'identity.' The equation will be true no matter what value is substituted for x. Thus, there are infinitely many solutions.
Y=mx+b
m=slope
b=y-intercept
y=-4x+b
Plug in the coordinate in place of x and y (-2,1)
1=-4(-2)+b
1=8+b
Subtract both sides by 8 to isolate B
b=-7
Final answer:
<span>y = −4x − 7
</span>