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Anastaziya [24]
3 years ago
8

Derek runs 4 laps around the track. If each lap around the track is 0.25 miles long, and he starts and stops in the same locatio

n, what is Derek's displacement? A) 0.5 miles. B) 0 miles. C) 1.0 miles. D) 0.25 miles
Mathematics
1 answer:
Alex3 years ago
8 0
The answer is B) 0 miles. Because displacement is the shortest distance between starting point and ending point. Since, his starting point and ending point is the same, hence, his displacement is 0 miles.
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A business is owned by 3 people. Mrs. Applegate owns
Bezzdna [24]

Given:

Mrs. Applegate owns  \dfrac{3}{19} of the business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

To find:

The  fractional part of the business that Mrs. Brown owns.

Solution:

Let Mrs. Charles owns x part of business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

Mrs. Brown owns = 3x part of business.

Mrs. Applegate owns  =\dfrac{3}{19} of the business.

x+3x+\dfrac{3}{19}=1

4x=1-\dfrac{3}{19}

4x=\dfrac{19-3}{19}

4x=\dfrac{16}{19}

Divide both sides by 4.

x=\dfrac{16}{4\times 19}

x=\dfrac{4}{19}

Now,

Mrs. Brown owns  =3\times x

=3\times \dfrac{4}{19}

=\dfrac{12}{19}

Therefore, Mrs. Brown owns  \dfrac{12}{19} of the business.

4 0
3 years ago
Constance was paid $67,452 this year (12 months) at her sales job. What were her monthly earnings (on average)?
weqwewe [10]

Answer:

To solve this problem, simply divide the total amount earned by the time in months it took to earn this total.

Therefore, divide the income of $67,452 by the 12 months it took to earn this much.

Your answer, B) $5,621.

Hope this helps!

8 0
3 years ago
Read 2 more answers
The roots of x2 − ( ) + 34 are 5 ± 3i.
Angelina_Jolie [31]
Use quadratic formula
if you had ax^2+bx+c=0, then
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}
a=1
b=?
c=34
subsitute
\frac{-b+/- \sqrt{b^{2}-4(1)(34)} }{2(1)}=5+/-3i
\frac{-b+/- \sqrt{b^{2}-136} }{2}=5+/-3i
make 5+/-3 into fraction over 2,(10+/-6i)/2
\frac{-b+/- \sqrt{b^{2}-136} }{2}=(10+/-6i)/2
multiply both sides by 2
-b+/- \sqrt{b^{2}-136}=10+/-6i
we conclude that -b=10
b=-10

ok so equaton is
x^2-10x+34


5 0
4 years ago
Read 2 more answers
The area of the triangle is<br> square centimeters.
Rom4ik [11]

Answer:

35cm²

Step-by-step explanation:

(7 x 10) ÷ 2 = 35

Area equation: (b x h) ÷ 2 = a

5 0
3 years ago
Question is down below
mash [69]

Answer:

may be a

Step-by-step explanation:

I can't do explain

4 0
3 years ago
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