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3 years ago

Allison and Megan were at track practice. The track is 3/8 kilometers around.

Mathematics

1 answer:

Ad libitum [116K]3 years ago

5 0

Allison ran 3/8 km (0.375 km) in 3 minutes.

Set up a proportion to find how long it takes for her to run 1 km

$\frac{0.375\textrm{km}}{3 \textrm{min}} = \frac{1\textrm{km}}{x \textrm{min}}$

Cross multiply to get:

$3 = 0.375x$

Solve:

$x = \frac{3}{0.375}$

x = 8 minutes

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On the coordinate grid of a map. Jeff's house is located at (9,5). Hannah's house is at (-5,-5). Kenya's house is located at the

Andru [333]

The midpoint formula is $\frac{ x_{1} + x_{2} }{2}, \frac{ y_{1}+ y_{2} }{2}$
So just plug in the corresponding coordinates in the correct place to get the midpoint.
x_1=-5 ; x_2=9 ; y_1=-5 ; y_2=5
((-5 + 9)/2 , (-5 + 5)/2)
(4/2 , 0/2)
(2,0) is where Kenya's house is(which is the midpoint).

The distance formula is a bit more complicated than that. The distance formula is D= $\sqrt{({y_{2}- y_{1} }^{2}) + ({ x_{2}- x_{1}}^{2} ) }$
In this case now, your looking for the distance from Hannah's house to Kenya's house.
D= $\sqrt{(-5-2)^{2} + (-5-0)^{2} }$
= $\sqrt{49+25}$
= $\sqrt{74}$ ≈8.6023

8 0

3 years ago

Read 2 more answers

write an equation in point-slope form for the line through the given point with the given slope. (10, –9); m = –2 a. y – 9 = –2(

Bas_tet [7]

Hello,

y+9=(x-10)*(-2)
==>y=-2x+11

Answer D if you put an "+" betheen y and 9 !!!!!!

3 0

3 years ago

What is the equation of a line that contains point (4, –3) and is PARALLEL to –4x + y = 7?

Debora [2.8K]

Answer:

Step-by-step explanation:

First, put -4x+y=7 into y=mx+b format

move -4x to the other side (or add 4x on both sides)

y=4x+7

now, parallel lines have the same slopes, but not the same y intercepts.

So, you already know the slope of your new line

y=4x+b

now we need to find b (y intercept)

take the point (4,-3) and put it into the equation above

-3=4(4)+b

-3=16+b

move 16 to the other side (or subtract 16)

-19=b

therefore the new line will be y=4x-19

Hope this helps!

7 0

3 years ago

I willl mark brainiest plz answer send right answer get points

kirza4 [7]

Answer: Option D

Step-by-step explanation:

Soup : 15/5 is 3 x 7 is 21

Peanut: 35/7 is 5 x 5 is 25

8 0

3 years ago

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A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $1

Nutka1998 [239]

Answers:

To reach the breakeven point, how many attendees will that take? <u> 117 </u>

What will be the company's total expenses and revenues? <u> $1755 for each </u>

=============================================================

Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

15x = 14x+117

15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) = 1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

7 0

2 years ago