Answer:
The height of the tent = 3 feet
Step-by-step explanation:
Question
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?
Given:
Length of the tent = 6 feet
Width of the tent = 4 feet
Volume of the tent = 36 
To find the height of the tent.
Solution:
Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:
where 
represents length, 
represents width and 
represents height of the prism.
Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.
Simplifying.
Dividing both sides by 12.
∴ 
Thus, the height of the tent = 3 feet
Answer:
24
Step-by-step explanation:
Let the number of mangoes owned by Tulsa be T and that by Julie be J
If Tulsa has 4 times as many mangoes as Julie then
T = 4J
Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie
T + 6 = 5J
Solve both equations simultaneously by substitution
4J + 6 = 5J
Collect like terms
6 = 5J- 4J
J = 6
Since
T = 4J
T = 4 * 6
= 24
Hence Tulsa had 24 mangoes at first
Answer:
x=7 DO=25 OG=35
Step-by-step explanation:
4x-3+2x+21=60 4(7)-3 2(7)+21
4x+2x -3+21 28-3=25 14+21=35
6x+18=60 DO=25 OG=35
60-18=42
6x=42
42/6=7
x=7
Answer:
y ≥ −4x − 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
let x be apple juice and y be orange juice
12 = x + y
x = 12 - y
15 = 1x + 1.5y
x = 15 - 1.5y
set the equations as equal
12 - y = 15 - 1.5y
solve for y
12 + .5y = 15
.5y = 3
y = 6, you bought 6 bottles of orange juice
so, 12 = x + 6 , x = 6 , you bought 6 bottles of apple juice
