<u>Steps:</u>I will try to solve your system of equations.
<span><span>y=<span><span>−<span>8x</span></span>+23</span></span>;<span><span><span>−<span>7x</span></span>+<span>2y</span></span>=<span>−23
</span></span></span><span>Step: Solve <span>y=<span><span>−<span>8x</span></span>+23 </span></span>for y: </span><span>Step:
Substitute<span><span>−<span>8x</span></span>+23 </span>for y in <span><span><span><span>−<span>7x</span></span>+<span>2y</span></span>=<span>−23</span></span>:
</span></span><span><span><span>−<span>7x</span></span>+<span>2y</span></span>=<span>−23</span></span><span><span><span>−<span>7x</span></span>+<span>2<span>(<span><span>−<span>8x</span></span>+23</span>)</span></span></span>=<span>−23</span></span><span><span><span><span>−<span>23x</span></span>+46</span>=<span>−23</span></span>(Simplify both sides of the equation)</span><span><span><span><span><span>−<span>23x</span></span>+46</span>+<span>−46</span></span>=<span><span>−23</span>+<span>−46</span></span></span>(Add -46 to both sides)</span><span><span>−<span>23x</span></span>=<span>−69</span></span><span><span><span><span>−<span>23x</span></span><span>−23</span></span>=<span><span>−69</span><span>−23</span></span></span>(Divide both sides by -23)</span><span>x=3</span><span>Step: Substitute 3 for x in <span><span>y=<span><span>−<span>8x</span></span>+23</span></span>:</span></span><span>y=<span><span>−<span>8x</span></span>+23</span></span><span>y=<span><span><span>(<span>−8</span>)</span><span>(3)</span></span>+23</span></span><span><span>y=<span>−1</span></span>(Simplify both sides of the equation)
</span><u>Answer:</u><span><span>y=<span>−<span><span>1<span> and </span></span>x</span></span></span>=<span>3</span></span>
1 bread = 3/4 cup
5 breads = 3/4 x 5
5 breads = 15/4
5 breads = 3 3/4cups
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Answer: Alani will use 3 3/4 cups to make 5 bread.
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Answer:
(0.392 ; 0.508)
Step-by-step explanation:
Given that :
p = 45% = 0.45
α = 1 - 90% = 0.1
Zα/2 = Z0.01/2 = Z0.05 = 1.645 (from Z standard table).
Using the relation :
p ± Z0.05*sqrt((p(1-p))/n)
p ± 1.645 * sqrt(0.45(0.55)/200)
p ± 1.645 * sqrt(0.0012375)
p ± 1.645 *0.0351781
0.45 - (1.645 * 0.0351781) = 0.3921320255
0.45 + (1.645 * 0.0351781) = 0.5078679745
(0.392 ; 0.508)