Answer:
<h3>#1</h3>
<u>Rectangle area:</u>
<u>Given:</u>
<u>Find w:</u>
- 12w = 300
- w = 300/12
- w = 25 ft
<h3>#2</h3>
<u>Perimeter is the sum of side lengths:</u>
P = 2 1/4 + 5 2/5 + 5 17/20 =
2 + 5 + 5 + 1/4 + 2/5 + 17/20 =
12 + 5/20 + 8/20 + 17/20 =
12 + 30/20 =
12 + 1.5 =
13.5 ft
<h3>
#3</h3>
- Cost of a shirt = $19.99
- Number of shirts = 6
<u>Total cost:</u>
Corollary - It is a theorem in geometry that the angles opposite two congruent sides of a triangle are also congruent. So I’d say true
Let's simplify step-by-step.<span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>−7</span>−<span>4x</span></span>−<span>(<span><span><span><span><span>3<span>x2</span></span>−<span>5x</span></span>+2</span>+<span>5<span>x5</span></span></span>+<span>3<span>x4</span></span></span>)</span></span>
Distribute the Negative Sign:<span>=<span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>−7</span>−<span>4x</span></span>+<span><span>−1</span><span>(<span><span><span><span><span>3<span>x2</span></span>−<span>5x</span></span>+2</span>+<span>5<span>x5</span></span></span>+<span>3<span>x4</span></span></span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+</span>−7</span>+</span>−<span>4x</span></span>+<span><span>−1</span><span>(<span>3<span>x2</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>−<span>5x</span></span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(2)</span></span></span>+<span><span>−1</span><span>(<span>5<span>x5</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>3<span>x4</span></span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+</span>−7</span>+</span>−<span>4x</span></span>+</span>−<span>3<span>x2</span></span></span>+<span>5x</span></span>+</span>−2</span>+</span>−<span>5<span>x5</span></span></span>+</span>−<span>3<span>x4</span></span></span></span>
Combine Like Terms:<span>=<span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+<span>−7</span></span>+<span>−<span>4x</span></span></span>+<span>−<span>3<span>x2</span></span></span></span>+<span>5x</span></span>+<span>−2</span></span>+<span>−<span>5<span>x5</span></span></span></span>+<span>−<span>3<span>x4</span></span></span></span></span><span>=<span><span><span><span><span><span>(<span><span>x5</span>+<span>−<span>5<span>x5</span></span></span></span>)</span>+<span>(<span>−<span>3<span>x4</span></span></span>)</span></span>+<span>(<span>6<span>x3</span></span>)</span></span>+<span>(<span><span>2<span>x2</span></span>+<span>−<span>3<span>x2</span></span></span></span>)</span></span>+<span>(<span><span>−<span>4x</span></span>+<span>5x</span></span>)</span></span>+<span>(<span><span>−7</span>+<span>−2</span></span>)</span></span></span><span>= <span><span><span><span><span><span>−<span>4<span>x5</span></span></span>+<span>−<span>3<span>x4</span></span></span></span>+<span>6<span>x3</span></span></span>+<span>−<span>x2</span></span></span>+x</span>+<span>−9</span></span></span>
Answer:<span>=<span><span><span><span><span><span> −<span>4<span>x5</span></span></span>−<span>3<span>x4</span></span></span>+<span>6<span>x3</span></span></span>−<span>x2</span></span>+x</span>−<span>9</span></span></span>
Answer:
$81.92
Step-by-step explanation:
Week 1:
250 * 20% = 50
250 - 50 = 200
Week 2:
200 * 20% = 40
200 - 40 = 160
Week 3:
160 * 20% = 32
160 - 32 = 128
Week 4:
128 * 20% = 25.6
128 - 25.6 = 102.4
Week 5:
102.4 * 20% = 20.48
102.4 - 20.48 = 81.92
