
Let one of those even numbers be x, Then other even number would be x + 2.
<u>According</u><u> </u><u>to</u><u> </u><u>question</u><u>,</u>
⇛ Their reciprocal add upto 3/4
<u>So</u><u>,</u><u> </u><u>we</u><u> </u><u>can</u><u> </u><u>write</u><u> </u><u>it</u><u> </u><u>as</u><u>,</u>
⇛ 1/x + 1/x + 2 = 3/4
⇛ x + 2 + x / x(x + 2) = 3/4
⇛ 2x + 2 / x² + 2x = 3/4
<u>Cross</u><u> </u><u>multiplying</u><u>,</u>
⇛ 3(x² + 2x) = 4(2x + 2)
⇛ 3x² + 6x = 8x + 8
⇛ 3x² - 2x - 8 = 0
⇛ 3x² - 6x + 4x - 8 = 0
⇛ 3x(x - 2) + 4(x - 2) = 0
⇛ (3x + 4)(x - 2) = 0
Then, x = -4/3 or 2
☃️ It can't be -4/3 because it is fraction and negative number. So, x = 2
Then, x + 2 = 4
✤ <u>So</u><u>,</u><u> </u><u>The</u><u> </u><u>even</u><u> </u><u>numbers</u><u> </u><u>are</u><u> </u><u>2</u><u> </u><u>and</u><u> </u><u>4</u><u>.</u>
<u>━━━━━━━━━━━━━━━━━━━━</u>
A) .05n + .10d + .25 q = 10.30
B) d +2 = q
C) n = 3q
Substituting equations B and C into A
A) .05*3q + .10(q-2) + .25 q = 10.30
A) .15q + .1q -.2 + .25q = 10.30
A) .50q = 10.50
21 quarters
C) n = 3q
C) n = 3*21
63 nickels
B) d +2 = q
d + 2 = 21
19 dimes
Answer:
1. B.
2. A, E.
3. D.
Step-by-step explanation:
1. 8.225 ÷ 5 = 1.645
2. 892 ÷ 8 = 111.5
8920 ÷ 80 = 111.5
894 ÷ 10 = 89.4
89.2 ÷ 0.08 = 1115
8.92 ÷ 0.8 = 11.15
0.892 ÷ 0.008 = 111.5
3. 4367 ÷ 0.004 = 1,091,750
There would be only 1 pint left of iced tea in the pitcher.