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Natali5045456 [20]

3 years ago

14

Lori is running a marathon, which is 26.2 miles long. So far, she has run one-tenth of the marathon. How far has Lori run? (from

the book)

2 answers:

mars1129 [50]3 years ago

4 0

She has 23.58 miles left to run because you multiply 26.2×0.1 and get 23.58.

myrzilka [38]3 years ago

3 0

To find how long Lori has run do 1/10 x 26.2
1/10 x 131/5
= (1x131) / (10x5)
= 131/50 or 2 and 31/50 miles long

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How to solve using substitution<br> y=3/4X+5<br> 4x-3y=-1

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Please, use parentheses to enclose each fraction:
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Let's eliminate the fraction 3/4 by multiplying the above equation through by 4:

4[y] = 4[(3/4)x + 5]
Then 4y = 3x + 20
(no fraction here)

Let 's now solve the system

4y=3x + 20
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We are to solve this system using subtraction. To accomplish this, multiply the first equation by 3 and the second equation by 4. Here's what happens:

12y = 9x + 60 (first equation)
16x-12y = -4, or -12y = -4 - 16x (second equation)

Then we have

12y = 9x + 60
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If we add here, 12y-12y becomes zero and we then have 0 = -7x + 56.
Solving this for x: 7x = 56; x=8

We were given equations
</span><span>y=3/4X+5
4x-3y=-1

We can subst. x=8 into either of these eqn's to find y. Let's try the first one:

y = (3/4)(8)+5 = 6+5=11

Then x=8 and y=11.

You should check this result. Subst. x=8 and y=11 into the second given equation. Is this equation now true?</span>

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3 years ago

Some body can help me with a geometric mean maze

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Answer:

See explanation

Step-by-step explanation:

Theorem 1: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

Theorem 2: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

1. Start point: By the 1st theorem,

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3. West point from the previous: By the 2nd theorem,

$x^2=(32-20)\cdot 32=4\cdot 3\cdot 16\cdot 2\Rightarrow x=2\cdot 4\cdot \sqrt{6}=8\sqrt{6}.$

4. West point from the previous: By the 1st theorem,

$9^2=x\cdot 15\Rightarrow x=\dfrac{81}{15}=\dfrac{27}{5}=5.4.$

5. West point from the previous: By the 2nd theorem,

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$12^2=x\cdot 30\Rightarrow x=\dfrac{144}{30}=4.8.$

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$6^2=1.6\cdot (x-1.6)\Rightarrow x-1.6=22.5,\ x=24.1.$

11. East point from the previous: By the 2nd theorem,

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13. North point=The end.

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Let
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then
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the answer is
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