Answer:
2.52.
Step-by-step explanation:
If one number is x then the other = 3x/8.
Also x - 3x / 8 = 4.2
x - 0.375 x = 4.2
0.625x = 4.2
x = 4.2 / 0.625
x = 6.72.
So the lesser number is 6.72 * 0.375 = 2.52.
Answer:
3.5p ≤ 40
Step-by-step explanation:
The inequality that best describes this problem is 3.5p ≤ 40;
Given parameters:
Total amount with me = $40
Cost per package of hot dog = $3.5
Unknown;
The inequality that represents the problem = ?
Solution:
p is the number of hotdogs that can be bought.
So, total hotdog that can be bought if each hotdog cost $3.5 per box is;
p x 3.5
Now,
this will equal the total amount at hand;
p x 3.5 ≤ 40
3.5p ≤ 40
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone =
r² +
r
(where r = radius of the base and
= slant height)
Given slant height
= 10 and surface area = 188.5
Surface area =
r² +
r
188.5 =
r² + 10
r
r² + 10
r - 188.5 = 0
r =
= 4.219621117...
Volume of a cone = (1/3)
r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of
using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² =
²
h² =
² - r²
h = √(
² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)
r²√(
² - r²)
Given slant height
= 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
1) 10n
10 points per game, times however many games she plays.
2) x-15=19
x=34 (b)
x=15+19
Data:
Read pages = 36
Total pages = 180
<span>The ratio of pages read = ?
Solving:
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