Answer:
14 + 11
Step-by-step explanation:
Let's solve your equation step-by-step.<span><span><span><span>1/2</span>y</span>−<span>21/4</span></span>=<span><span>−35/</span>4</span></span>Step 1: Simplify both sides of the equation.<span><span><span><span>12</span>y</span>+<span><span>−21/</span>4</span></span>=<span><span>−35/</span>4</span></span>Step 2: Add 21/4 to both sides.<span><span><span><span><span>1/2</span>y</span>+<span><span>−21/</span>4</span></span>+<span>21/4</span></span>=<span><span><span>−35/</span>4</span>+<span>21/4</span></span></span><span><span><span>1/2</span>y</span>=<span><span>−7/</span>2</span></span>Step 3: Multiply both sides by 2.<span><span>2*<span>(<span><span>1/2</span>y</span>)</span></span>=<span>2*<span>(<span><span>−7/</span>2</span>)</span></span></span><span>y=<span>−7</span></span>Answer:<span>y=<span>−<span>7</span></span></span>
Answer:
x < 3
Step-by-step explanation:
−4x − 8 > −20
Add 8 to both sides.
-4x > -12
Divide both sides by -4. Remember that when you multiply or divide both sides of an inequality by a negative number, the direction of the inequality sign changes.
-4x/(-4) < -12/(-4)
x < 3
Answer:
Yes
Step-by-step explanation:
The formula for area of a triangle is A = (1/2)bh,
For the first triangle we can leave it in general terms, so it's area is
A = (1/2)bh, depending on what b and h are, but it doesn't matter here...
The second triangle has base that is twice the other triangles base. Bases being multiples of each other is the definition of being proportional so the bases are proportional, an the area of the second triangle is
A = (1/2)(2b)h, which simplifies to
A = bh
Comparing the 2 areas, you can see that one has a multiplier of (1/2), so their areas are proportional
Answer:
Ellen bought 2700 paper clips.
Step-by-step explanation:
Total boxes=18
Paper Clips in 1 box=150
Total paper clips=18×150
=2700