It would 6 Pounds/ Liquid gallon.
Answer:
Step-by-step explanation:
The given pair of angles lie on a line, hence they are classified as linear angles. They possess the property by which their sum is equal to 180°.
Answer:
a = 21
Step-by-step explanation:
If x = h is a zero of a polynomial then f(h) = 0, thus
p(- 
) = 27( - )³ - a(- ) - (- ) + 3 = 0, that is
27 (- 
) - 
a + + 3 = 0
- 1 - a + 
= 0 ( multiply through by 9 to clear the fractions )
- 9 - a + 30 = 0
- a + 21 = 0 ( subtract 21 from both sides )
- a = - 21 ( multiply both sides by - 1 )
a = 21
We want to know when we brought it back in to the room. at that time
the temperature difference is 80 - 42 = 38 so we have to solve
<span>
38=9<span>e<span>^−.3344t</span></span></span> for t
this time we get
<span><span>38 / 9</span>=<span>e^<span>−.3344t</span></span></span>
<span>t=<span><span>ln(<span>38 / 9</span>)</span><span> / −.3344</span></span></span>
<span>t=−4.3</span>
so 4.3 minutes before 2:10
Answer:
The jeweler made 11 bracelets and 7 necklaces.
Step-by-step explanation:
Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:
(16 - 6) x 7 = 70
178 - 70 = 108
108/6 = 18
18 - 7 = 11
(11 x 6) + (7 x 16) = X
66 + 112 = X
178 = X
Thus, the jeweler made 11 bracelets and 7 necklaces.
