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tatyana61 [14]
3 years ago
5

A cross-country racer travels 20 kilometers before she realizes that she has to cover 75 kilometers in order to qualify for the

next race.If the racer travels at a rate if 10 kilometers per hour, how many whole hours will it take her to reach the 75-kilometer mark?
Mathematics
1 answer:
Katarina [22]3 years ago
5 0
6............................................
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Tony owes Tina 40p.
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Tina needs to pay Tony 70p still
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Tan (25pi/2) = ___<br><br> A). 1<br> B). 0<br> C). -1<br> D). Undefined
jasenka [17]
A.) 1
Type it in your calc. to find
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3 years ago
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Please help asap calculate the slope of the line through the points (6,-8) and (3,-4).
Taya2010 [7]

Answer:

Step-by-step explanation:

Mathematically, we can calculate the slope

using the formula below;

m = (y2-y1)/(x2-x1)

Where (x1.y1) = (6,-8)

(x2, y2) = (3,-4)

So inputing these values into the formula, we have

m = (-4-(-8))/(3-6)

m = (-4+8)/-3 = 4/-3 = -4/3

Now, we want to write the equation of the line;

y= -4/3x + c

to get the value of c, we simply need to use any of the points. We use any of the two points by substituting the values of x and y at that point.

Let’s use (3,-4)

That would give ;

-4 = -4/3(3) + c

-4 = -4 + c

This means c = 0

Thus the equation of the line is y = -4/3x

Now to find out if the point (-3,4) is on the line

We only need to substitute the values of x and y here and see ;

Thus;

4 = -4/3(-3)

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We can conclude that the point is on the line in question

7 0
3 years ago
A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defect
krek1111 [17]

Answer:

The probability that the first two electric toothbrushes sold are defective is 0.016.

Step-by-step explanation:

The probability of an event, say <em>E </em>occurring is:

P (E)=\frac{n(E)}{N}

Here,

n (E) = favorable outcomes

N = total number of outcomes

Let <em>X</em> = number of defective electric toothbrushes sold.

The number of electric toothbrushes that were delivered to a store is, <em>n</em> = 20.

Number of defective electric toothbrushes is, <em>x</em> = 3.

The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:

{20\choose 2}=\frac{20!}{2!(20-2)!}=\frac{20!}{2!\times 18!}=\frac{20\times 19\times 18!}{2!\times 18!}=190

The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:

{3\choose 2}=\frac{3!}{2!(3-2)!}=\frac{3!}{2!\times 1!}=3

Compute the probability that the first two electric toothbrushes sold are defective as follows:

P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes

                                                            =\frac{3}{190}\\

                                                            =0.01579\\\approx0.016

Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.

8 0
3 years ago
Which is a solution to the equation?<br> (x-2)(x=5)=18
kobusy [5.1K]
Expand
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minus 18 both sides
x^2+3x-28=0
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7 and -3 
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set each to zero

x+7=0
x=-7
x-3=0
x=3

x=-7 and 3
6 0
3 years ago
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