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insens350 [35]
3 years ago
13

Solve the equation. Please show working :D :) 1/2y-21/4=-35/4 for y

Mathematics
1 answer:
Ganezh [65]3 years ago
6 0
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>
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A total of 1,716 selections of the 7 flowers are possible.

Step-by-step explanation:

Step 1:

There are 13 flowers from which Jeanine Baker plans to use 7 of them.

To determine the number of selections that are possible we use combinations.

The formula for combinations is; ^{n} C_{r}=\frac{n !}{(n-r) ! r !}.

Step 2:

In the given formula, n is the total number of options and r is the number of options to be selected.

For this question, n = 13 and r=7.

So ^{13} C_{7}=\frac{13 !}{(13-7) ! 7 !} = \frac{13 !}{(6) ! 7 !} = 1,716.

So a total of 1,716 selections are possible.

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