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3 years ago

Someone help heree plss

Mathematics

1 answer:

Novay_Z [31]3 years ago

3 0

Answer:

a c and g

Step-by-step explanation:

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Loren drove 200 miles at a certain rate, and his wife, Lois, drove 100 miles at a rate 10 mph slower. If Loren had driven for th

NeX [460]

As long as Loren drove, the law of motion was

$200 = st_1 \implies t_1 = \dfrac{200}{s}$

As long as Loid drove, the law of motion was

$100 = (s-10)t_2 \implies t_2 = \dfrac{100}{s-10}$

So, the total time they took is

$t_1+t_2=\dfrac{200}{s}+\dfrac{100}{s-10}$

Had Loren driven the whole time, the law of motion would have been

$300=st_3 \implies t_3 = \dfrac{300}{s}$

And we know that this time would have been 30 minutes (i.e. 0.5 hours) faster. So, we have

$t_3 = t_1+t_2-0.5$

This translates into

$\dfrac{300}{s}=\dfrac{200}{s}+\dfrac{100}{s-10}-\dfrac{1}{2}$

If we subtract 200/s from both sides, we have

$\dfrac{100}{s}=\dfrac{100}{s-10}-\dfrac{1}{2}$

We can simplify the right hand side by summing the two fractions:

$\dfrac{100}{s-10}-\dfrac{1}{2} = \dfrac{200-(s-10)}{2(s-10)}=\dfrac{210-s}{2(s-10)}$

So, we have to solve

$\dfrac{100}{s}=\dfrac{210-s}{2(s-10)}$

If we cross multiply the denominators, we have

$200(s-10)=s(210-s) \iff 200s-2000=210s-s^2 \iff s^2-10s-2000=0$

Which yields the solutions

$s=-40,\quad s=50$

We accept the positive solution, because the negative would mean to travel backwards, so Loren's rate was 50mph

5 0

3 years ago

Read 2 more answers

A(n) ____ is a numeric variable used for adding together something.

finlep [7]

It is the accumulator.

3 0

3 years ago

The following regular polygon has a side length of ____

vivado [14]

Answer:

9 inches

Step-by-step explanation:

5 sides

45 inches

45:5=9

4 0

4 years ago

Translate the following statement into an equation and solve for x

Tamiku [17]

Answer:

104 = -13 x -8

Step-by-step explanation:

The reason you got it wrong is, I'm assuming, because of the way you formatted it. Try this and see if it works.

3 0

3 years ago

10) The line FG is a diameter of the circle with centre C (6, 1). Given F is (2.-3), find the coordinates of G.

Maurinko [17]

Answer:

Coordinates of the endpoint g is (10,5)

Step-by-step explanation:

The coordinates of a midpoint can be found using the formula;

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

In this case, we have the mid point but we want to get the end point

Thus;

(6,1) = (x1 + 2)/2 , (y1-3)/2

x1 + 2 = 2(6)

x1 + 2 = 12

x1 = 12-2

x1 = 10

y1 - 3 = 2(1)

y1 -3 = 2

y1 = 2 + 3

y1 = 5

The coordinates of G are (10,5)

6 0

3 years ago