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Sindrei [870]
3 years ago
8

Adam rides his bike from his home to the school's bike lot at point F each day. Assuming he takes the same route home, how far d

oes he bike to school and back each day? Each unit represents one block.
A) -12 blocks
B) 4 blocks
C) 6 blocks
D) 12 blocks

Mathematics
2 answers:
Wewaii [24]3 years ago
7 0
I'm saying the answer is D.
ikadub [295]3 years ago
7 0

Answer:

The answer is 12 blocks

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Viefleur [7K]

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The answer is -7.15, hope this helps.

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Find the value of x in the triangle shown below.
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A boat is traveling at an average speed of 15 meters per second. How many kilometers per second is the boat traveling
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Sam and Mary collect marbles. “If you give me 5 marbles I’ll have twice as many as you.” said Sam to Mary.
ivann1987 [24]

Answer:

54 marbles

Step-by-step explanation:

The question is a word problem leading to a simultaneous equation

Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,

If Mary gives Sam 5 marbles, we have;

x + 5 = 2 × (y - 5)...(1)

If Sam gives Mary 4 marbles, we get;

x - 4 = y + 4...(2)

From equation (1), we get;

x + 5 = 2 × (y - 5) = 2·y - 10

x = 2·y - 10 - 5 = 2·y - 15

x = 2·y - 15...(3)

From equation (2), we have;

x - 4 = y + 4

∴ x = y + 4 + 4 = y + 8

x = y + 8...(4)

Equating the two values of 'x' in equation (3), and equation (4), we get;

2·y - 15 = y + 8

2·y - y = 8 + 15 = 23

∴ y = 23

From equation (4), we get;

x = y + 8 = 23 + 8 = 31

x = 31

The total number of marbles they have altogether = x + y

However, x + y = 23 + 31 = 54

Therefore;

The total number of marbles they have altogether = 54 marbles.

7 0
3 years ago
A relation is plotted as a linear function on the coordinate plane starting at point C (0,−1)(0,−1) and ending at point D (2,−11
Alika [10]
To find the rate of change, or slope, pick two points. The slope, is change in y coordinates over change in x coordinates.
slope =  \frac{y2-y1}{x2-x1}.

In this case, the slope is 
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Remember that subtracting a negative number equals adding the number without the negative sign.
a-(-b) = a+b

Now for the y-intercept. The y-intercept is where the graph intersects the y-axis, where x = 0.
You have the coordinate (0, -1), where x = 0. So the y-intercept is -1.

Putting these values into the slope-intercept form y = mx+b, the equation is
y = -5x - 1
4 0
3 years ago
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