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Mars2501 [29]
3 years ago
12

In the same amount of time, James drove twice as far as Roger. Altogether, James and Roger drove 90km. Find the number of kilome

tres driven by each person.
Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer:

james drove 60 and roger drove 30

Step-by-step explanation:

90/3= 30= roger

90/3=30x2=60= james

james(60)+roger(30)= 90

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2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.
Andrei [34K]

Let x and x+1 be these consecutive integers. For some base b, we can write

(x_{10})^2=220_b=2b^2+2b

((x+1)_{10})^2=251_b=2b^2+5b+1

If

x^2=2b^2+2b

then

x^2+1=2b^2+2b+1

Now,

x^2+2x+1=2b^2+5b+1

2x+2b^2+2b+1=2b^2+5b+1

\implies2x=3b

Squaring both sides gives

4x^2=9b^2

and so

4(2b^2+2b)=9b^2

\implies8b^2+8b=9b^2

\implies b^2-8b=0\implies\boxed{b=8}

(because the base has to be non-zero)

3 0
3 years ago
Identify each pair of angles named below as adjacent angles or vertical angles.
rosijanka [135]
1-adjacent

3 others- vertical
5 0
3 years ago
1 1/3+2 2/3 mixed number
OleMash [197]

1\dfrac{1}{3}+2\dfrac{2}{3}=1+\dfrac{1}{3}+2+\dfrac{2}{3}=(1+2)+\left(\dfrac{1}{3}+\dfrac{2}{3}\right)=3+\dfrac{1+2}{3}\\\\=3+\dfrac{3}{3}=3+1=4

4 0
3 years ago
Read 2 more answers
Solve for x 7(3-x) = 8(4-2x)
Damm [24]

Answer:

  x = 11/9

Step-by-step explanation:

Eliminate parentheses, add 16x, subtract 21.

  7(3 -x) = 8(4 -2x) . . . . given

  21 -7x = 32 -16x . . . . . eliminate parentheses using the distributive property

  9x +21 = 32 . . . . . . . . add 16x

  9x = 11 . . . . . . . . . . . . subtract 21

  x = 11/9 . . . . . . . . . . . .divide by the coefficient of x

7 0
3 years ago
Help me I have no idea how to do 18
sleet_krkn [62]

First, subtract px2 from both sides.

Now you have:

x3 - px2 = (1 - p) x1

Next, divide both sides by (1 - p)

So now you have

x3 - px2/(1 - p) = x1

...as your final answer


*You can decide if you want to leave the parenthesis in your final answer, I left them there so it could be visible where I put them. :)

5 0
3 years ago
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