1. (5x - 2) + 7x = 12x - 2
2. 6(x - 5) > 22
6x - 30 > 22
6x > 52
x > 52/6
x > 26/3
Answer:
The maximum volume of space that 1,000 BTUs will cool is 400 cubic foot.
Step-by-step explanation:
Given : A total of 1,000 BTUs are needed to cool a space. If 2.5 BTUs are needed to cool 1 cubic foot of space.
To find : What is the maximum volume of space that 1,000 BTUs will cool?
Solution :
Applying unitary method,
2.5 BTU are needed to cool 1 cubic foot of space.
So, 1 BTU are needed to cool
cubic foot of space.
Then,1000 BTU are needed to cool
cubic foot of space.
i.e. 1000 BTU are needed to cool 400 cubic foot of space.
Therefore, the maximum volume of space that 1,000 BTUs will cool is 400 cubic foot.
Answer:
∠ 1,3,5,7 = 32°
∠2,4,6,8,= 148°
Step-by-step explanation:
From the figure attached,
AB and CD are two parallel lines and another transverse line is intersecting these line at two distinct points.
Since, m∠1 = 32°,
∠1 and ∠4 are supplementary angles [Linear pair of angles]
m∠1 + m∠4 = 180°
32° + m∠4 = 180°
m∠4 = 180° - 32°
m∠4 = 148°
therefore,
m∠1,3,5,7 = 32°
m∠2,4,6,8,= 148°
Answer:
A = 340 adult.
C = 398 children.
Step-by-step explanation:
Let the number of children be C
Let the number of adults be A
Translating the word problem into an algebraic equation, we have;
A + C = 738 .......equation 1
1.5C + 2C = 1306 .......equation 2
A = 738 - C .......equation 3
Substituting eqn 3 into eqn 2, we have;
1.5(738 - C) + 2C = 1306
1107 - 1.5C + 2C = 1306
1306 - 1107 = 2C - 1.5C
199 = 0.5C
C = 199/0.5
<em>C = 398 children. </em>
Now, to find the value of A.
From equation 3;
A = 738 - C
A = 738 - 398
<em>A = 340 adult. </em>
Answer:
23
Step-by-step explanation:
20 *.15=3
20+3=23