Mike and Breanna like to run after swim practice each day. Usually they run the same distance, x miles. Today, however, they ran different
distances.
• Mike ran at 7 miles per hour and ran 2 more miles than usual.
• Breanna ran at 6 miles per hour and ran 1 more mile than usual.
Complete the table to show each person's distance and rate, which could be used to create rational equation relating their distance, rate, and
time
Distance
Rate
Mike
Breanna

Answer:

6 cups to make 126 cookies

Step-by-step explanation:

dozen = 12 cookies

7 x 12= 84

126 - 84 = 42

so you will have to make 42 cookies more and that will be 2 more cups of flour

it total is 6 cups to make 126

Answer:

y=5x and y=40 when x=8

Answer:

y = 5x

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 2

10 = 2k ( divide both sides by 2 )

5 = k

y = 5x ← equation of variation

Answer:

x=33

Step-by-step explanation:

The angles have to add up to 180, so you get:

2x - 18 + 4x = 180

6x = 180 + 18

x = 198/6

x = 33

Answer:

Blake's car gets better mileage

Step-by-step explanation:

In order to find how many miles you get per gallon, you would do miles/gallons

As I'm typing this I realize it makes no sense but pretty much you just do 300/20 which is 15 mpg, and 495/15 which is 33 mpg, therefore Blake's car is better

9514 1404 393

Answer:

  (d)  The mean of X, the mean of Y, and the slope

Step-by-step explanation:

A point on the linear regression curve is (mean(x), mean(y)). With that point and the slope, the equation of the line can be found. That equation will reveal the y-intercept.

  y-intercept = mean(y) -slope·mean(x)

Answer:

The train was travelling at 60 km/h

Step-by-step explanation:

We're already given time and distance, and speed is just distance/time, so:

240km / 4h

= (240/4) km/h

= 60km/h

Answer:

33 nickels, 17 quarters

Step-by-step explanation:

q=quarters, n=nickels

Since total number of coins = 50 and he only has quarters and nickels,

q + n = 50.

Since a quarter is 0.25 dollars, a nickel is 0.05 dollars, and his total is $5.90,

0.25q + 0.05n = 5.90

Multiply the entire second equation by -4 to get -q and eliminate q from both equations: -4(0.25q + 0.05n = 5.90)

So, q + n = 50

And -q -0.2n = -23.6

Cancel q's and add down to combine both equations, so 0.8n = 26.4

Solve for n by dividing 0.8 by both sides, so n = 33

Plug n back into the first equation: q + 33 = 50 and q is thus 17.

Hope this helps!

Answer:

15%

Step-by-step explanation:

if 10% is to 20 then 15% is to 30

Answer:

y = 2

Step-by-step explanation:

3y - 4 = 6 - 2y

+2y                +2y

5y - 4 = 6 (new equation)

     +4   +4

5y = 10 (new equation)

/5      /5

y = 2

Answer:

PN = 10

Step-by-step explanation:

Base angles converse theorem states that a triangle with two congruent angles is isosceles. The sides opposite to the two congruent angles are the congruent sides. The side between the two congruent angles is the base.

In this problem, it is given that <P = <O, hence ΔNOP is isosceles, because of base angles theorem. OP is the base, and hence NO is one of the congruent sides and therefore has to be congruent to PN. Which means that PN is 10.

Answer:

u=2s

Step-by-step explanation:

just took the exam

The expression that most effectively represents u's value would be:

D). u = 2s

Given that,

In ΔABC,

E is the midpoint in the segment AC,

While D is the midpoint of BC,

As different letters are provided equivalent to different segments. For example; Segment ED = s ; Segment CE = p ; Segment EA = r

Segment CD = q ; Segment DB = t ; Segment ED = s ; Segment AB = u

As,

CE = 0.5 × AC(midpoint)

CD = 0.5 × CB (midpoint)

Thus,

CE/AC = CD/CB = ED/AB = 1/2           (Through side angle side similarity)

Since ED = s and AB = u

∵ u = 2s                                   (using midpoint theorem)

Thus, option D is the correct answer.

Learn more about "Segment" here:

brainly.com/question/13330632

Answer:

2*5

Step-by-step explanation:

when youre dividing with powers you have to subtract them so 2*5-2*4=2*1. When the power is in brackets you multiply the whole power. So 2*1 x 5 = 2*5.

Answer:

To negative numbers makes a positive number.

(only in dividing and multiplying)

Step-by-step explanation:

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