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dalvyx [7]
3 years ago
8

brad drank 7 cups of juice in 4.5 days which rate represents this situation? Question A 7 Cups/4.5days Question B 7days/4.5cups

Question C 31.5Cups/7days Question D 31.5Days/7cups
Mathematics
1 answer:
Yuki888 [10]3 years ago
4 0
The answer is A: 7 cups/4.5 days.

You see, the unit rate for this would be 1 cup/~0.6 day, so C and D would be incorrect (31.5 is too high for 7). Then, if you read it, it's seven cups, not days.

So, A.
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1.) Three numbers form a geometric sequence whose common ratio is 0.5. If the first is reduced to 10 more than one quarter its v
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Let <em>x</em> be the first number in the sequence, so the first three numbers are

{<em>x</em>, 0.5<em>x</em>, 0.5²<em>x</em>}

Then

{<em>x</em>/4 + 10, 0.5<em>x</em> - 10, 2(0.5²<em>x</em>) + 10}

is arithmetic, so there is some constant<em> c</em> such that

0.5<em>x</em> - 10 = <em>x</em>/4 + 10 + <em>c</em>   ==>   <em>x</em>/2 - 10 = <em>x</em>/4 + 10 + <em>c</em>

2(0.5²<em>x</em>) + 10 = 0.5<em>x</em> - 10 + <em>c</em>   ==>   <em>x</em>/2 + 10 = <em>x</em>/2 - 10 + <em>c</em>

Solve the second equation for <em>c</em> :

<em>x</em>/2 + 10 = <em>x</em>/2 - 10 + <em>c</em>

<em>c</em> = 20

Substitute this into the first equation and solve for <em>x</em> :

<em>x</em>/2 - 10 = <em>x</em>/4 + 10 + 20

<em>x</em>/4 = 40

<em>x</em> = 160

Then the terms are

{160, 80, 40}

8 0
3 years ago
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