Answer:
y = 23
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other, thus
∠1 = 90° and ∠1 = 4y - 2, so equating gives
4y - 2 = 90 ( add 2 to both sides )
4y = 92 ( divide both sides by 4 )
y = 23
<h3>
Answer: 6 ounces</h3>
========================================================
Work Shown:
(6 servings)/(4 oz of sauce) = (8 servings)/(x oz of sauce)
6/4 = 8/x
6*x = 4*8
6x = 32
x = 32/6
x = 5.333 approximately
x = 6 we round up despite 5.333 being closer to 5, than it is to 6.
If we went with 5 ounces, then we wouldn't clear the hurdle needed to serve 8 people.
The section below goes over why this is the case in more detail.
---------
6 servings : 4 ounces
6/4 servings : 4/4 ounces
1.5 servings : 1 ounce
So one ounce of sauce gets us 1.5 servings.
If we multiply both sides by 5, then,
1.5 servings : 1 ounce
5*1.5 servings : 5*1 ounce
7.5 servings : 5 ounces
This shows that 5 ounces of sauce will only produce 7.5 servings, which comes up short compared to 8 servings.
If we multiplied both sides by 6, then
1.5 servings : 1 ounce
6*1.5 servings : 6*1 ounce
9 servings : 6 ounces
This shows that 6 ounces of sauce yields 9 servings. We've gone overboard, but it's better to do that than come up short.
☆ First we need to Distribute:
⇒ <span><span><span>(2)<span>(3m)</span></span>+<span>(2)(4)</span></span>+<span>(3)(m)</span></span>+<span>(3)<span>(−5<span>)
</span></span></span>⇒ <span><span><span>6m+8</span>+3m</span>+</span>−<span>15
</span>☆ Now Combine Like Terms:
⇒<span>6m+8+3m</span>+−15
⇒<span>(<span><span>6m</span>+<span>3m</span></span>)</span>+<span>(<span>8+<span>−15</span></span>)
</span><span>⇒9m+<span>−<span>7
</span></span></span>☆ Giving us the answer of:
9m+−7
