Answer:
$45.22
Step-by-step explanation:
The number of miles per gallon can be represented by the ratio:
Since we know the unit rate of 26 miles per gallon of gas, we can set up a proportion, or equivalent ratios, to find the number of gallons needed for 420 miles:
, where 'x' is the number of gallons of gas
cross-multiply and divide: 26x = 420 or x ≈ 16.15 gallons
If gas is $2.80 per gallon, take the total number of gallons needed and multiply by $2.80:
16.15 x $2.80 = $45.22
9514 1404 393
Answer:
a) ∆ABC ~ ∆EDC by AA similarity
b) ED/AB = 3/4
c) 15 cm
Step-by-step explanation:
a) Two angles in each triangle are the same, so the AA similarity postulate can be used to declare the ∆ABC ~ ∆EDC. (Each triangle includes a right angle and angle C.)
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b) Corresponding sides are ED/AB, DC/BC, EC/AC. The ratio of corresponding sides is ED/BC = (12 cm)/(16 cm) = 3/4.
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c) Using the ratios identified above, we have ...
DC/BC = 3/4 = x/(20 cm)
x = 3/4(20 cm)
x = 15 cm
Answer:
6.375 x 10^3
Step-by-step explanation:
Topic: Numbers / Conversion to Standard Form
If you would like to understand on this conversion etc, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
The real way is to subtract the term with the variable on the right first, but both Spencer and Jeremiah are correct. When you do them both, they arrive at the same answer, only that Spencer's would be 2/5, and Jeremiah's would be -2/-5, which is 2/5, because you divide negative by a negative. It doesn't matter which term with the variable you would cancel out first. Either way, you still arrive at the correct answer.
