Answer:
A.) negative twenty-seven over forty
Step-by-step explanation:
Screenshot below will explain the answer
Answer:
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. We know that 1 yard is 36 inches, therefore, 50 yards expressed in inches is:
<u>
(50)(36)=1800in</u>
2. If he is 50 yards from school and the map shows that the school is 34 inches from his current location, when it shows 3 inches the real distance is:
<u>
(1800)(3in)/24in=158.82</u>
3. If you can to express it in yards:
<u>
158.82/36=4.41yd</u>
<h2><u>
Therefore, the answer is: 158.82 inches or 4.41 yards.</u></h2>
Answer:
c = -54
Step-by-step explanation:
Solve for c:
(7 c)/8 - 3 (c/8 - 7) = -6
Put each term in c/8 - 7 over the common denominator 8: c/8 - 7 = c/8 - 56/8:
(7 c)/8 - 3 c/8 - 56/8 = -6
c/8 - 56/8 = (c - 56)/8:
(7 c)/8 - 3(c - 56)/8 = -6
(7 c)/8 - (3 (c - 56))/8 = (7 c - 3 (c - 56))/8:
(7 c - 3 (c - 56))/8 = -6
-3 (c - 56) = 168 - 3 c:
(7 c + 168 - 3 c)/8 = -6
7 c - 3 c = 4 c:
(4 c + 168)/8 = -6
Multiply both sides of (4 c + 168)/8 = -6 by 8:
(8 (4 c + 168))/8 = -6×8
(8 (4 c + 168))/8 = 8/8×(4 c + 168) = 4 c + 168:
4 c + 168 = -6×8
8 (-6) = -48:
4 c + 168 = -48
Subtract 168 from both sides:
4 c + (168 - 168) = -168 - 48
168 - 168 = 0:
4 c = -168 - 48
-168 - 48 = -216:
4 c = -216
Divide both sides of 4 c = -216 by 4:
(4 c)/4 = (-216)/4
4/4 = 1:
c = (-216)/4
The gcd of -216 and 4 is 4, so (-216)/4 = (4 (-54))/(4×1) = 4/4×-54 = -54:
Answer: c = -54
<u>The formula in the question is incorrect. The formula for the volume of a triangular prism is V = Bh/2.</u>
Answer:
The variable B stands for the <u>base</u>.
In this prism, B equals <u>11</u> in.
The variable h stands for <u>height</u>. In this prism, h is <u>9</u> in.
The volume of the prism is <u>346.5 in^3</u>.
