So,
1/4(3c + 5) + -1/2(2c + 3) = 1/2
First, we distribute to get rid of the parentheses. (PEMDAS)
3/4c + 1 1/4 - c - 1 1/2 = 1/2
Now, we collect like terms.
-1/4c - 1/4 = 1/2
Add 1/4 to both sides.
-1/4c = 3/4
Now, multiply by the reciprocal (-4/1).
c = -3
Check your answer.
1/4(3[-3] + 5) + -1/2(2[-3] + 3) = 1/2
1/4(-9 + 5) + -1/2(-6 + 3) = 1/2
-2 1/4 + 1 1/4 + 3 - 1 1/2 = 1/2
-1 + 1 1/12 = 1/2
1/2 = 1/2
Step-by-step explanation:
Going to assume you need to know that value of x
2x + 6 = 2
isolate the variable by subtracting 6 on both sides
2x = 8
divide by 2
x = 4
Answer:
If you need additional resources to support virtual learning, please ... 9) I can solve problems involving a system of linear inequalities. ... of the submarine is 50 ft below sea level when it starts to descend ... ft/s. It dives at that rate for 5 s. ... After the initial 5-second descent, the submarine increases its rate of ...
Step-by-step explanation:
Answer:
AC = 7
Step-by-step explanation:
1. Draw out the line and label everything you know.
2. By observation, we know that AD is also equal to AC + CD.
3. To find CD, take the length of BD (12) and subtract it by the length of BC (4): 12 - 4 = 8. The length of CD is 8.
4. Finally, to find AC, subtract the length of CD (8) from AD (15): 15 - 8 = 7. The length of AC is 7.
