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lianna [129]
2 years ago
10

Lauren is running in a marathon to raise money for her favorite charity. The total distance of the marathon is 12.5 miles. So fa

r she has run 1/10 of the marathon. How far has lauren run?
Mathematics
1 answer:
kirill [66]2 years ago
3 0
Hi! So when you are dividing or multiplying a decimal by 10, it becomes a lot easier than it looks. If you divide by 10, you move the decimal to the left one space. If you multiply the decimal by 10, you move the decimal to the right one space. Because you are diving 12.5 by 10, you move the decimal to the left one space, which then becomes 1.25. So, Lauren has run 1.25 miles. If you want to double check, you can multiply 1.25 by 10, which comes out to 12.5. Your answer is 1.25! Hope this helps!!
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frosja888 [35]
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7 0
2 years ago
Carlos shovels snow from driveways in his neighborhood. he charges $10 for each regular driveway and he charges an extra $7.50 f
stiks02 [169]

Let, the number of regular driveways be x.

Given there are 3 fewer large driveways than regular driveways.

So, the number of large driveways = (x-3)

Given, Carlas charges $10 for each regular driveway.

So for x regular driveway the amount will be = $ (10)(x) = $ (10x)

And he charges extra $7.50 for each large driveway.

So for each large driveway Carlos charges = $(10+7.50) = $17.50.

For (x-3) large driveways Carlos will charge = $ (17.50)(x-3) = $ (17.50x - 52.50)

Given, the total amount he makes = $140

So we can write the equation as,

10x + 17.50x - 52.50 = 140

27.50x + 52.50 = 140

We will move 52.50 to the right side by adding it to both sides. We will get,

27.50x - 52.50 + 52.50 = 140 + 52.50

27.50x = 192.50

Now to get x, we will move 27.50 to the right side by dividing it to both sides. We will get,

\frac{(27.50x)}{27.50} =\frac{192.50}{27.50}

x =\frac{192.50}{52.50}

x = 7

So we have got the required answer.

The number of regular driveways Carlos shovel = 7.


8 0
2 years ago
Points E, F, and D are located on circle C. Circle C is shown. Line segments E C and D F are radii. Lines are drawn from points
elena55 [62]

Answer:

Option (1). 34°

Step-by-step explanation:

From the figure attached, CE and CD are the radii of the circle C.

Central angle CED formed by the intercepted arc DE = 68°

Since measure of an arc = central angle formed by the intercepted arc

Therefore, m∠CED = 68°

Since m∠EFD = \frac{1}{2}(m\angle ECD) [Central angle of an intercepted arc measure  the double of the inscribed angle by the same arc]

Therefore, m∠EFD = \frac{1}{2}(68)

                               = 34°

Therefore, Option (1) 34° will be the answer.

7 0
2 years ago
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The Hoffman family has bought one pizza on Friday night every week for the last 10 years.
wel

Answer:520

Step-by-step explanation:.

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2 years ago
Solve for x in the equation x squared + 14 x + 17 = negative 96. x = negative 7 plus-or-minus 4 StartRoot 6 EndRoot i x = –7 ± 8
blagie [28]

Answer:

x=-7\pm8i

Step-by-step explanation:

we have

x^{2} +14x+17=-96

Equate to zero

x^{2} +14x+17+96=0

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The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2} +14x+113=0

so

a=1\\b=14\\c=113

substitute in the formula

x=\frac{-14\pm\sqrt{14^{2}-4(1)(113)}} {2(1)}

x=\frac{-14\pm\sqrt{-256}} {2}

Remember that

i=\sqrt{-1}

so

x=\frac{-14\pm16i} {2}

x=-7\pm8i

7 0
2 years ago
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