Answer:
The 1st graph
Step-by-step explanation:
20 = 2t + 12
2t = 8
t = 4
At most she can afford 4 toppings which means she can have 4 toppings to less: t ≤ 4. This is represented in the 1st graph.
Answer:
The answer is (x + 3) (x - 7) = 0
Step-by-step explanation:
x² - 4x = 21
x² - 4x - 21 = 0
x² - 7x + 3x - 21 = 0
x(x - 7) + 3(x - 7) = 0
(x + 3) (x - 7) = 0
Thus, The answer is (x + 3) (x - 7) = 0
<em><u>-TheUnknownScientist</u></em>
Answer:
Step-by-step explanation:
Volumes of two spheres A and B = 648 cm³ and 1029 cm³
Things to remember:
1). Scale factor of two objects =
[
and
are the radii of two circles]
2). Area scale factor = 
3). Volume scale factor = 
Volume scale factor Or Volume ratio = 
![\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }](https://tex.z-dn.net/?f=%5Cfrac%7Br_1%7D%7Br_2%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B648%7D%7B1029%7D%20%7D)
![\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}](https://tex.z-dn.net/?f=%5Cfrac%7Br_1%7D%7Br_2%7D%3D%5Cfrac%7B6%28%5Csqrt%5B3%5D%7B3%7D%29%7D%7B7%28%5Csqrt%5B3%5D%7B3%7D%29%7D)

Therefore, scale factor =
≈ 6 : 7
Area scale factor Or area ratio = 
= 
≈ 36 : 49
Volume scale factor or Volume ratio = 
= 
≈ 216 : 343
Answer:
-opposite sides of a parallelogram are congruent.
-definition of a parallelogram
- alternate interior angles are congruent
Step-by-step explanation:
I just did the test
The horse traveled 439.6 feet after walking around the track 5 times
<u><em>Solution:</em></u>
Given that, horse walks around a circular track while its trainer stands in the center
The trainer is 14 feet from the horse at all times
Therefore, radius of circular track = 14 feet
The circumference of circle is the distance traveled by horse for 1 lap
<em><u>The circumference of circle is given as:</u></em>

Where, "r" is the radius and
is a constant equal to 3.14

Thus the distance traveled by horse for one time in circular track is 87.92 feet
<em><u>About how far had the horse traveled after walking around the track 5 times? </u></em>
Multiply the circumference by 5

Thus the horse traveled 439.6 feet after walking around the track 5 times