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-BARSIC- [3]
3 years ago
13

Bob is training for a race. Bob ran 14.6 miles away from his home. Then bob ran 9.8 miles toward his home. Finally bob ran 5.3 m

iles away from his home. How far is bob from his home ?
Mathematics
1 answer:
Maksim231197 [3]3 years ago
8 0
10.1 miles from his home
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Solve the following simultaneous equation by using an algebraic method (either substitution or elimination)
Maru [420]

Answer:

( \frac{29}{14}, - \frac{19}{7})

Step-by-step explanation:

given the 2 equations

2x + 3y = - 4 → (1)

4x - y = 11 → (2)

Rearrange (2) expressing y in terms of x, that is

y = 4x - 11 → (3)

Substitute y = 4x - 11 into (1)

2x + 3(4x - 11) = - 4

2x + 12x - 33 = - 4

14x - 33 = - 4 ( add 33 to both sides )

14x = 29 ( divide both sides by 14 )

x = \frac{29}{14}

Substitute this value into (3) for corresponding value of y

y = (4 × \frac{29}{14}) - 11 = \frac{116}{14} - \frac{154}{14} = - \frac{38}{14} = - \frac{19}{7}

solution is ( \frac{29}{14}, - \frac{19}{7})



7 0
4 years ago
The third term of a sequence is 120. The fifth term is 76.8. Write an explicit rule representing this geometric sequence.
juin [17]
The nth term of the geometric sequence is:
an=ar^(n-1)
where 
a=first term
r=common ratio
n=nth term
from the question:
120=ar(3-1)
120=ar^2
a=120/(r^2)....i
also:
76.8=ar^(5-1)
76.8=ar^4
a=76.8/r^4.....i
thus from i and ii
120/r^2=76.8/r^4
from above we can have:
120=76.8/r²
120r²=76.8
r²=76.8/120
r²=0.64
r=√0.64
r=0.8
hence:
a=120/(0.64)=187.5
therefore the formula for the series will be:
an=187.5r^0.8
4 0
3 years ago
Read 2 more answers
Simplify the expression [14]-[-14]
uysha [10]

The problem to solve is:

[14]-[-14]

Because of the minus sign

14 becomes - 14

The answer is -14

[14]-[-14] evaluates to 28

The final answer is

28

mark brailiest please


6 0
3 years ago
Read 2 more answers
PLEASE HELP ME, i'll mark brainlist (moderators: STOP DELETING MY STUFF BROS)
weeeeeb [17]

Answer:

Both angles are 51°

Step-by-step explanation:

By the Vertical Angles Theorem, both angles are congruent.

Step 1: Set up equation

68 - x = 3x

Step 2: Solve for <em>x</em>

68 = 4x

x = 17

Step 3: Find angles

68 - 17 = 51°

5 0
4 years ago
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What are the x-intercepts for the function shown in the graph?
rjkz [21]

Answer:

-1 and 3

Step-by-step explanation:

The x intercepts are where the graph crosses the x axis.

Looking at the graph it crosses at two points

x = -1 and x=3

4 0
3 years ago
Read 2 more answers
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