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zhenek [66]
3 years ago
11

Karen purchased a prepaid phone card for $15. Long-distance calls cost 19 cents a minute using this card. Karen used her card on

ly once to make a long-distance call. If the remaining credit on her card is $12.91, how many minutes did her call last?
Mathematics
2 answers:
Sergio039 [100]3 years ago
7 0

Step-by-step explanation:

Ok so we start with $15 now the remaining amount is $12.91, so let's substract

15.00 - 12.91 = 2.09

Alright now I must work with this number, since every minute used on the call is 19 cents, i must divide 2.09 to see how many 19 cents fit into this number

2.09 / 0.19 = 11

So she lasted talking or in this call 11 minutes....

I hope this helps!

Anna [14]3 years ago
5 0

Answer:

I am pretty sure the answer is 11 minutes and the cost was $2.09

Step-by-step explanation:

Ihope this helps you:)

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If AK= 14, EK=17, BK= 7 , What is the length of DK? 12.7 8.5 7.0 3.5
Elden [556K]
To get the value of DK we use proportionality:
AK/EK=BK/KD
thus plugging the values we get:
14/17=7/KD
getting the reciprocal of getting both sides we have:

17/14=KD/7
thus
KD=17/14×7
KD=8.5
thus 
8 0
3 years ago
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Guys help me solve this plzzz:(((;;(;;;((;
Maru [420]

Answer:

It should be 60 degrees

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3 0
3 years ago
Brandon rode in a taxi that charges a flat fee of $2.25 and an additional $0.40 per mile of his trip. If he paid $6.80 for the c
r-ruslan [8.4K]

Answer:

11 \frac{3}{8} miles.

Step-by-step explanation:

To find how many miles Brandon rode, we can create an equation in slope-intercept form: y = mx + b

$2.25 is the flat fee, or the unchanging variable. This is our y-intercept, or b.

$0.40 is the changing variable, as it changes value depending on the amount of miles ridden. This is our slope, or m.

We know Brandon spent $6.80 on the cab ride. So, this is our y.

We get the equation: 6.80 = 0.40x + 2.25.

To solve, first subtract 2.25 from both sides of the equation:

6.80 - 2.25 = 0.40x + 2.25 - 2.25

We get: 4.55 = 0.40x

Now, just divide by 0.40 on both sides:

4.55 ÷ 0.40 = 0.40x ÷ 0.40

We get: 11.375 = x

So, Brandon rode for 11.375 miles. When converted to a mixed number, we get 11 \frac{3}{8} .

<em>I would appreciate brainliest, if not that's ok!</em>

6 0
3 years ago
I can’t figure out, can someone please explain how to get the correct answer?
Karolina [17]

Answer:

  a)  CD = 9

  b)  AB = 20

Step-by-step explanation:

<h3>a)</h3>

In this geometry, all of the right triangles are similar. This means The ratio of short side to long side is the same for all of the triangles.

You are given the short and long sides of ΔADB, and the long side of ΔCDA. You are asked for the short side of ΔCDA, so you can write the proportion ...

  CD/AD = AD/BD

  CD/12 = 12/16

  CD = 12(12/16)

  CD = 9

__

<h3>b)</h3>

There are a couple of options for finding AD. One you may be familiar with is the Pythagorean theorem.

  AB² = AD² +DB²

  AB² = 12² +16² = 144 +256 = 400 . . . . fill in known values

  AB = √400 = 20 . . . . . take the square root

__

Alternatively, you can use the same proportional relationship that is described above. Here, we make use of the ratio of the hypotenuse to the long side.

  AB/BD = CB/AB

  AB² = BD·CB = 16·(16+9) = 16·25 . . . . cross multiply; fill in known values

  AB = √(16·25) = 4·5 . . . . . take the square root

  AB = 20

_____

<em>Additional comment</em>

This geometry, where the altitude of a right triangle is drawn, has some interesting properties. We have hinted at them above.

You can write three sets of proportions for this geometry: the ratios of short side and long side; the ratios of short side and hypotenuse; and the ratios of long side and hypotenuse. When you look at the way the sides touching the longest hypotenuse relate to that hypotenuse, you see three similar relations:

  AC = √(CD·CB)

  AD = √(DC·DB)

  AB = √(BD·BC) . . . . . . . . the relation used in part (b) above

This "square root of a product" is called the <em>geometric mean</em>. In effect, the length of a side touching the longest hypotenuse is the geometric mean of the two segments of that hypotenuse that it touches.

7 0
2 years ago
Does the angle have to be
Studentka2010 [4]

Answer:

Number 4

Step-by-step explanation:

Side-Angle-Side, it has to be between the two sides.

6 0
2 years ago
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