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lutik1710 [3]
3 years ago
8

0.5s +1=7 + 4.5s S =

Mathematics
1 answer:
kvv77 [185]3 years ago
3 0

Answer:

s = -\frac{3}{2}

Step-by-step explanation:

Solve for the value of s :

0.5s + 1 = 7 + 4.5s

-Combine both 0.5s and 4.5s by subtracting 0.5s by 4.5s :

0.5s + 1 - 4.5s = 7 + 4.5s - 4.5s

-4s + 1 = 7

-Subtract 1 to both sides:

-4s + 1 - 1 = 7 - 1

-4s = 6

-Divide both sides by -4 :

\frac{-4s}{-4} = \frac{6}{-4}

s = -\frac{3}{2}

So, the value of s is -\frac{3}{2}.

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Convert 110 km/myr (kilometers per million years) to cm/yr (centimeters per year)
jenyasd209 [6]

Answer:

110\ \text{km/myr} =11\ \text{cm/yr}

Step-by-step explanation:

To find : Convert 110 km/myr (kilometers per million years) to cm/yr (centimeters per year) ?

Solution :

Using metric conversions,

1 kilometer = 1000 meter

1 meter = 100 centimeter

So, 1 kilometer = 100,000 centimeter

and 1 million year = 1,000,000 year

1\ \text{km/myr} =\frac{100000}{1000000}\ \text{cm/yr}

1\ \text{km/myr} =0.1\ \text{cm/yr}

So, 110\ \text{km/myr} =110\times 0.1\ \text{cm/yr}

110\ \text{km/myr} =11\ \text{cm/yr}

Therefore, 110\ \text{km/myr} =11\ \text{cm/yr}

6 0
3 years ago
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Emisha earned $30 for 3 1/3 hours of work. How much does she get paid per hour?
Oksana_A [137]

Answer:

$9 Per Hour

Step-by-step explanation: If we split 9 into 1/3 we can get 3 so if we say 9x3 is 27 then add the 3 we get $30

8 0
3 years ago
Jessica paid $5 toward a $20 ticket this month. What decimal represents the fraction she paid?
CaHeK987 [17]

Answer:

b 0.25

Step-by-step explanation:

20 ÷ 5 = 4 so 1/4 of 20 or 0.25 is 5

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Prove that the circumcenter of a triangle is equidistant from its vertices.
ruslelena [56]

Answer:

Step-by-step explanation:

The circumcenter is equidistant from the three vertices of the triangle. From the figure shown, we will prove DA = DB = DC. 2) DA = DB, DC = DB(If a point is on the perp. bisector of a segment, it is equidistant from each endpoint of the segment.)

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3 years ago
Question 7: Find the value of x. The numbers below are in degrees.<br> 140<br> S<br> 50<br> 20
Lyrx [107]

Given:

A figure.

To find:

The value of x.

Solution:

Draw two parallel lines as shown in the below figure.

If a transversal line intersect two parallel lines, then alternate interior angles are same.

a=20              (Alternate interior angle)

d=b              (Alternate interior angle)           ...(i)

The value of angle d is

d=50-a

d=50-20

d=30

Using (i), we get

b=30

If a transversal line intersect two parallel lines, then same sides interior angles are supplementary angles.

c+140=180

c=180-140

c=40

Now,

x=b+c

x=30+40

x=70

Therefore, the value of x is 70.

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3 years ago
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