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julia-pushkina [17]
4 years ago
10

Consider the formula d = rt, where d represents distance, r represents rate, and t represents time. How could the formula be rea

rranged to determine the number of hours it takes to reach Kate's destination?
A) t=d/r
B) t=r/d
C) t=rd
D) t=dr
Mathematics
1 answer:
avanturin [10]4 years ago
5 0

Answer: (A) t = d/r

Explanation:

You can arrive at this answer algebraically, as well as by reasoning:

Algebraic:

d = rt    | divide both sides by r. Note that r must never equal 0.

d/r = t

t = d/r --> choice (A)

Reasoning:

* the (time) must be proportional to (distance), i.e., the longer the distance the more time it will take.

* the (time) must be indirectly proportional to the (rate/speed), i.e., the faster Kate is moving the less time it will take her to the destination.

The two above are reflected in (A) and only in (A). You can apply a check to the remaining (B) - (D) choice to see that they do not satisfy the two logical expectations.


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3

Step-by-step explanation:

Here's the rundown of values:

12=9

9=6

6=3

3rd value=3

*The values are created through going through the numerical process.

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How many years are there between 1894 and 2008?
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114 years (this has to be 20 characters so ignore this)
4 0
3 years ago
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If this is for slope-intercept, the equation is: y = 3x + 1

To find the slope, you would find the rise over run ( \frac{rise}{run} ). So, you would start where the graph intersect at the y-axis, which is 1. You would go up 3 times, and right 1 time. So, \frac{3}{1}, or 3, would be your slope. To find the y-intercept, you would need to find where the graph intersects at the y-axis, which is 1, so it would be your y-intercept. Plug them into the y = mx + b formula and the answer is <em>y = 3x + 1</em>.

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5 0
3 years ago
What is this answer
Veronika [31]
1. 2x+8=3x+10
Step 1: Subtract 3x from both sides.
2x+8(-3x)= 3x+10 <span>(-3x)
</span>-x+8=10 
Step 2: Subtract 8 from both sides.
-x+8 (-8) = 10 <span>(-8)
</span>-x=2
Step 3: Divide both sides by -1.
-x/(-1)=2/(-1)
x=-2
Answer= x=-2
2. -3x+9=2x-1
Step 1: Subtract 2x from each side. 
-3x (-2x) +9= 2x-1 <span>(-2x)
</span>-5x+9=-1
Step 2: Subtract 9 from both sides. 
-5x+9 (-9)=-1 (-9)
-5x=-10
Step 3: Divide -5 from both sides. 
-5x/-5= -10/-5
x=2
The answer is 2.
3. 4x-7=5x-6
Step 1: Subtract 5x from both sides.
4x-7 (-5x)= 5x-6 (-5x)
-x-7=-6
Step 2: Add 7 to both sides.
-x-7 (+7)= -6 (+7)
-x=1
Step 3: Divide each side by -1.
-x/-1=1/-1
x=-1
The answer is -1. 
5 0
4 years ago
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