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Andre45 [30]
2 years ago
6

Eileen is taking a trip to Louisiana and expects to drive 850 miles round trip. If her car gets 23 miles per gallon, and the cos

t per gallon of gas is $2.79, how much will she spend on gasoline? Round to the nearest dollar. (Points : 2)
$98
$103
$41
$69
Mathematics
1 answer:
bazaltina [42]2 years ago
4 0
The answer is <span>$103.

To determine </span><span> how much Eileen will spend on gasoline, first we need to calculate how many gallons she needs.
If she drives 850 miles and </span><span>her car gets 23 miles per gallon, we can use the proportion:
850 miles : x gallons = 23 miles : 1 gallon
Crossing the products:
x = 850 miles </span>× 1 gallon ÷ 23 miles
x = 36.96 gallons

Thus, Eileen needs 36.96 gallons of gas. If the cost per gallon of gas is$2.79, using the proportion:
36.96 gallons : x = 1 gallon : <span>$2.79
x = 36.96 gallons </span>× $2.79 <span>÷ 1 gallon
x = </span>$103.12 
x ≈ $<span>103</span>
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now factors of -4 are ±(1,2,4) and factors of 2 are ± (1,2) the possible rational roots are ± ( 1/1, 1/2, 2/1, 2/2, 4/1, 4/2) which reduces to ± (1, 1/2, 2, 4)

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Read 2 more answers
Given: mKP=2mIP, mIVK =120°<br> Find: m∠KJL.
anzhelika [568]

Answer:

<h2>The measure of angle KJL is 40°.</h2>

Step-by-step explanation:

Givens

m(KP)=2m(IP)

m(IVK)=120\°

Notice that

m(KP)+m(IP)+m(IVK)=360\°, by definition sum of arcs.

Replacing given values, we have

2m(IP)+m(IP)+120\°=360\°\\3m(IP)=360\° - 120\°\\m(IP)=\frac{240\°}{3}\\ m(IP)=80\°

Which means m(KP)=2(80\°)=160\°

Notice that arc KP is the subtended arc by angle KJL.

We know that the angle formed by a tangen and a secant is equal to one-half of the difference of the intercepted arcs.

m\angle KJL = \frac{1}{2} (m(KP)-m(IP))\\m \angle KJL = \frac{1}{2}(160\° - 80\° )=\frac{1}{2}(80\°)=40\°

Therefore, the measure of angle KJL is 40°.

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