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vovangra [49]
3 years ago
14

During a 12-hour period, the temperature in a city dropped from a high of 66°F to a low of −29°F. What was the range of the temp

eratures during this period?
Mathematics
1 answer:
LenaWriter [7]3 years ago
7 0

Answer:

95

Step-by-step explanation:

66-66=0

0-29=-29

66+29=95

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Eli has saved $8 more than 1/3 of Angela's savings.If they each save $10 more Eli will have saved &4 more than Angela's savi
statuscvo [17]

Answer:

Eli has saved $10

Step-by-step explanation:

Let us use the first letters of their names to represent them.

A for Angela and E for ELi

So, from the first statement, we can write out an equation: E = \frac{1}{3}A + 8, that is, <em>one-third of Angela's savings + $8 will give us Eli's savings</em>

From the second statement, we can write out: E + 10 = (A + 10) + 4 which means that <em>if $10 is added to both their savings, Eli will still have $4 more than Angela.</em>

So, we can solve both equations;

Equation 1: E = \frac{1}{3}A + 8

Equation 2: E + 10 = (A + 10) + 4; which can be rewritten as E + 10 = A + 14

and then E = A + 4

The two equations (in bold), can then be solved simultaneously.

Let us carry out this operation to <u>eliminate the E:</u> Subtract equation 1 from equation 2, so that;

A + 4 - ( \frac{1}{3}A + 8) = E - E

\frac{2}{3}A - 4 = 0

\frac{2}{3}A = 4

A = 4 × \frac{3}{2} = 6

So, if A is 6, and E = A + 4 (from equation 2, that means that E = 6 + 4 = 10

So, Eli has saved $10, while Angela has saved $6.

If we check what was said in the question about their savings, which is what we have represented using the equations, the answers can be confirmed.

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Step-by-step explanation:

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To convert 25 hours to minutes would you use the ratio 1/60
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Step-by-step explanation:

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