Step-by-step explanation:
-5(p + 3/5 ) = -4
-5p - 3/5 *5 = -4
-5p - 3 = - 4
-5p = -4 +3
-5p = -1
therefore p = 1/ 5
85−(6x+11)=6(x+8)+x
Step 1: Simplify both sides of the equation.<span><span>85−<span>(<span><span>6x</span>+11</span>)</span></span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span><span><span>85+<span><span>−1</span><span>(<span><span>6x</span>+11</span>)</span></span></span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span>(Distribute the Negative Sign)<span><span><span>85+<span><span>−1</span><span>(<span>6x</span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(11)</span></span></span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span><span><span><span><span><span>85+</span>−<span>6x</span></span>+</span>−11</span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span><span><span><span><span><span>85+</span>−<span>6x</span></span>+</span>−11</span>=<span><span><span><span>(6)</span><span>(x)</span></span>+<span><span>(6)</span><span>(8)</span></span></span>+x</span></span>(Distribute)<span><span><span><span><span>85+</span>−<span>6x</span></span>+</span>−11</span>=<span><span><span>6x</span>+48</span>+x</span></span><span><span><span>(<span>−<span>6x</span></span>)</span>+<span>(<span>85+<span>−11</span></span>)</span></span>=<span><span>(<span><span>6x</span>+x</span>)</span>+<span>(48)</span></span></span>(Combine Like Terms)<span><span><span>−<span>6x</span></span>+74</span>=<span><span>7x</span>+48</span></span><span><span><span>−<span>6x</span></span>+74</span>=<span><span>7x</span>+48</span></span>Step 2: Subtract 7x from both sides.<span><span><span><span>−<span>6x</span></span>+74</span>−<span>7x</span></span>=<span><span><span>7x</span>+48</span>−<span>7x</span></span></span><span><span><span>−<span>13x</span></span>+74</span>=48</span>Step 3: Subtract 74 from both sides.<span><span><span><span>−<span>13x</span></span>+74</span>−74</span>=<span>48−74</span></span><span><span>−<span>13x</span></span>=<span>−26</span></span>Step 4: Divide both sides by -13.<span><span><span>−<span>13x</span></span><span>−13</span></span>=<span><span>−26</span><span>−13</span></span></span><span>x=2</span><span>Answer:
x=2</span>
Translating the words into formula, we have
In fact, we have that the pay rate is the total payment divided by the number of hours worked.
We can solve this formula for w in two steps: starting from the formula above, multiply both sides by w:
And then divide both sides by r:
Answer:
3.root 15 feet
Step-by-step explanation:
To solve this problem, we will use Pythagorean’s theorem. Now let’s visualize a right angled triangle in which the hypotenuse stands for the total ladder length and the base of the ladder standing away from the wall is say the adjacent.
The length of the ladder is the opposite which is the last side of the complete triangle.
Hence, to find this side we use s^2 = 12^2 - 3^2
S^2 = 144 -9
S^2 = 135
S= square root of 135 = 3.root15 feet
Answer:
4<C
<10
Step-by-step explanation:
Theorem: Given a triangle with sides A, B and C the sum of the lengths of any two sides of a triangle must be greater than the third side:
1. A+B>C
2. B
+C
>A
3. A+C>B
Thus given two sides of A=3 and B=7 C can be:
7
−3<C
<
7+3
C range
4<C
<10
