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igomit [66]
2 years ago
5

Maria bikes 25 km per hour and starts at mile 10. Glen bikes 29 km per hour and starts at mile 0. Which system of linear equatio

ns represents this situation?
A.Maria: d = 10t + 25
Glen: 29d = t

B.Glen: d = 25t + 10
Maria: d = 29t

C.Maria: d = 25t + 10
Glen: d = 29t

D.Maria: d = 10t + 25
Glen: d = 29t
Mathematics
2 answers:
Vladimir79 [104]2 years ago
8 0

Answer:

C.Maria: d = 25t + 10

  Glen: d = 29t

Step-by-step explanation:

Apex

Hope this helps Have a nice day

max2010maxim [7]2 years ago
7 0
Maria starts at a distance of 10 from where Glen starts.

Velocity = distance/time => v=d/t => d=vt
If the distance is measured from starting point,
After time (t),

Maria covers

d-10 =25t => d=25t+10

Glen covers

d=29t

Therefore, C is the correct answer.

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A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3000\\
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n=
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2 years ago
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A sapling, or young tree, is planted in a garden. After 3 years, it is 180 cm tall. After 7 years, it is 368 cm tall. How tall w
cestrela7 [59]
548cm tall because if you add 180 to 368 it is 548.
3 0
2 years ago
r Flag For Review A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to h
Alex787 [66]

Answer:

P = \frac{132000}{12}=11000

So then P =11000 is the minimum that the least populated district could have.

Step-by-step explanation:

We have a big total of N = 132000 for the population.

And we know that we divide this population into 11 districts

And we have this info given "no district is to have a population that is more than 10 percent greater than the population of any other district"

Let's assume that P represent our minimum value for a district in the population. The range of possible values for the population of each district would be between P and 1.1 P

The interest on this case is find the minimum value for P and in order to do this we can assume that 1 district present the minimum and the other 10 the maximum value 1.1P in order to find which value of P satisfy this condition, and we have this:

P + 10 (1.1P) = 12 P= 132000

P = \frac{132000}{12}=11000

So then P =11000 is the minimum that the least populated district could have.  

3 0
2 years ago
FWML is a parallelogram. Find the values of x and y. Solve for the value of z, if z=x−y
Dima020 [189]

Answer:

x=5

y=8

z=-3

Step-by-step explanation:

We have been given a parallelogram. We are asked to solve for the values of x and y.

We know that opposite sides of parallelogram are equal, so we can set equation as:

3x-3=x+7

3x-x-3=x-x+7

2x-3=7

2x-3+3=7+3

2x=10

\frac{2x}{2}=\frac{10}{2}

x=5

Similarly, we will solve for y.

2y-6=y+2

2y-y-6=y-y+2

y-6=2

y-6+6=2+6

y=8

To solve for z, we will subtract y from x as:

z=x-y\\z=5-8\\z=-3

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4 0
2 years ago
One of the factors of the polynomial x3 − 5x2 is x + 3. What is the other factor?
blondinia [14]

Answer:

C. x² − 8x + 24 − 72/(x+3)

Step-by-step explanation:

See attached picture for long division method.

Logically, we know x³ − 5x² factors to x² (x − 5).  Since x + 3 isn't a factor, we know the remainder isn't 0.  So we can narrow the options down to A or C.

One way to find the remainder is through long division.  Or, since this is multiple choice, we multiply the options by x + 3 and see which one results in an answer of x³ − 5x².

(x + 3) (x² − 8x + 24 − 72/(x+3))

(x + 3) (x² − 8x + 24) − 72

x³ − 8x² + 24x + 3x² − 24x + 72 − 72

x³ − 5x²

6 0
2 years ago
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