36 + h = 75...subtract 36 from both sides
h = 75 - 36
h = 39
-176 = h + (-219)
-176 = h - 219....add 219 to both sides
219 - 176 = h
43 = h
The width used for the car spaces are taken as a multiples of the width of
the compact car spaces.
Correct response:
- The store owners are incorrect
<h3 /><h3>Methods used to obtain the above response</h3>
Let <em>x</em><em> </em>represent the width of the cars parked compact, and let a·x represent the width of cars parked in full size spaces.
We have;
Initial space occupied = 10·x + 12·(a·x) = x·(10 + 12·a)
New space design = 16·x + 9×(a·x) = x·(16 + 9·a)
When the dimensions of the initial and new arrangement are equal, we have;
10 + 12·a = 16 + 9·a
12·a - 9·a = 16 - 10 = 6
3·a = 6
a = 6 ÷ 3 = 2
a = 2
Whereby the factor <em>a</em> < 2, such that the width of the full size space is less than twice the width of the compact spaces, by testing, we have;
10 + 12·a < 16 + 9·a
Which gives;
x·(10 + 12·a) < x·(16 + 9·a)
Therefore;
The initial total car park space is less than the space required for 16
compact spaces and 9 full size spaces, therefore; the store owners are
incorrect.
Learn more about writing expressions here:
brainly.com/question/551090
1. Expand
2x − 2 + 4 = 4x + 4
2. Simply
2x + 2 = 4x + 4
3. Subtract
2 = 4x + 4 - 2x
4. Simplify
2 = 2x + 4
5.Subtract
2 - 4 = 2x
6. Simplify
-2 = 2x
7. Divide both sides by
-1 = x
8.Switch sides.
x = -1
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
It's asking for the coordinates of the treasure and I can't really see it right but it looks like the coordinate is about (-0.5, 1.5) it's not exact though cuz I can't really see it
