Answer:
x=5 and y=8
Step-by-step explanation:
Find x:
3x - 2 = x + 8
-x -x
2x - 2 = 8
+2 +2
2x = 10
---- ----
2 2
x = 5
Find y:
6y - 7 = y + 33
-y -y
5y - 7 = 33
+7 +7
5y = 40
---- -----
5 5
y = 8
A of the yard= L*l=16*14= 224 feet²
A of the fountain= πR²
d=2R
4=2R
R=4:2=2
A of the fountain= 2²π=4 *3,14= 12,56 feet²
A of the grass portion= 224-12,56= 211,43 feet²
answer d)211,43 feet²
Answer:
36 pencils
Step-by-step explanation:
Let h and p represent the number of highlighters and the number of pencils, respectively.
Then h + p = 45, and h = 45 - p.
Tom paid a total of $30 for these supplies, with ($2/highligher)(h) + ($0.333/pencil) adding up to that amount.
substituting 45 - p for h in 2h + 0.333p = 30, we get:
2(45 - p) + 0.333p = 30, or
90 - 2p + 0.333p = 30
Combine the constants: 60 = 2p - 0.333p, or 60 = 1.667p
Then p = 60/1.667 = 35.9928, or 36.
Tom bought 36 pencils for $12, and 45-36, or 9, highlighters for $18, for a total purchase of $30. This shows that these calculations are correct.
Answer: 1296 cm³
Step-by-step explanation:
Since, the volume of a square pyramid is,
Where a = side of the square base,
h = height of the pyramid,
By the given diagram,
a = 18 cm,
h = 12 cm,
Hence, the volume of the given pyramid,
cube cm.
⇒ First option is correct.
Answer:
42 ft², IF that side is 6ft, it was cut off in the picture. (I can rework if it isn't 6ft.)
Step-by-step explanation:
Break it down into individual shapes. All of my work is on this sheet.
