A runner completed a 26.2-mile marathon in 210 minutes.

a. Estimate the unit rate, in miles per minute. Round your answer to the nearest hundredth of a mile.
The unit rate is about mile per minute.

b. Estimate the unit rate, in minutes per mile. Round your answer to the nearest tenth of a minute.

The unit rate is about minutes per mile.


Question 2
c. Another runner says, “I averaged 10-minute miles in the marathon.” Is this runner talking about the kind of rate described in part (a) or in part (b)? Explain your reasoning.
The runner is talking about the rate in because “10-minute miles” is a way of talking about the rate in .

Answer:

63*42=2646

22*22=484

Area of Shaded Gray portion=2646-484=2162

Answer:

12x+20

Step-by-step

nice

Replace x with 11 and solve:

4(3(11) + 5)

3 x 11 = 33:

4(33 + 5)

33 + 5 = 38:

4(38)

4 x 38 = 152

answer: 152

Rigid motion: Type of transformation that creates congruent figures (that's the definition, so I can't really explain much)

Congruent: Same shape, same size

Dilation: Enlarge or reduce a shape

Rotation: Twists a shape

Reflection: Flips a shape

Translation: Slides a shape

Answer:

0.0005 km, 100000 cg, 0.2 L, 100 cm, 0.35 cm

Step-by-step explanation:

50 cm = 0.0005 km

3) 1000 g = 100000 cg

5) 1 kg = 1000000 mg

2) 200 mL = 0.2 L

4) 0.01 hm = 100 cm

6) 3.5 mm = 0.35 cm
Hope this helps :)

Answer:

Yes, the 2 negative signs cancel each other out. The definition of irrational is a repeating decimal that cannot be written as a fraction. 5/7 is a fraction

Step-by-step explanation:

Answer: 8

Step-by-step explanation:
I wouldn’t use a proportion to solve this. I would simply take .125 times 64 and get 8

Answer:

the answer is 8.

Step-by-step explanation:

Answer:

Hi so you need to find an intersection so like 2/2 and -1/-1 and you get one for both then you go up 3 from -1/-1 and go over 2 to get your 2/2 now you take 3 divided by 2=1.5

Step-by-step explanation:

Answer:

A. [tex]y=\frac{3}{2}x-1[/tex]

B. [tex]y=\frac{3}{2}x[/tex]

Step-by-step explanation:

For the graph shown, the slope is [tex]\frac{3}{2}[/tex] and the y-intercept is -1. For the new line, it would have the same slope, but would have a y-intercept of 0.

Answer: 5

Step-by-step explanation:

3345556788

5 is in the middle

Answer:

70 degrees

Step-by-step explanation:

2x+3x-20+x+20=180

( angles in a triangle add up to 180 degrees)

as you want to find one x you need to move everything else to the other side: first collect all the like terms: 6x=180

in order to find x you need to divide 180 by 6 which is equal to 30

therefore x=30

if you substitute this into XYZ it would be: 3(30)-20

90-20=70

therefore XYZ=70 degrees

Hope this helped

Answer:

70

Step-by-step explanation:

So we know that the angles of a triangle equal up to 180 degrees. So let's make an equation. So we can do:

2x+(3x-20)+(x+20) = 180

Simplify:

6x=180

x=30

We can also plug this in to check our work. So it would be:

60+(90-20)+(30+20)

simplify

70+50+60=180

Then we have to find angle XYZ so we do 90-20=70

Answer:

Step-by-step explanation:

a= -1

a= 10/3 = 3.333

Answer:

Hello! Elizabeth is here! The answer to your question is 3) M and N are similar but not congruent!

Step-by-step explanation:

As you can see on the coordinate grid, the M is at the (-4,3) and the N is at (4,1/2) , both M & N are similar from it size, sure but their coordinate location is quite different, or should I say M & N is not similar with congruent.

Hope this helped and have a wonderful day!

^~Elizabeth

Answer:

it is a rotation of 180 degrees and a reflection over the y -3 or y -4 axis

Step-by-step explanation:

Answer:

x ≥ 4; solid circle at 4 and shaded to the right

Step-by-step explanation:

Given:

 x +2 ≥ 6

Subtract 2

 x +2 -2 ≥ 6 -2

 x ≥ 4

This is graphed as a solid circle at x=4 and shaded to the right (where x > 4).

Answer:

  132 units²

Step-by-step explanation:

The figure is a trapezoid, so its area can be found using the formula for the area of a trapezoid.

  A = 1/2(b1 +b2)h

The top "base" is the difference between 21 units and 9 units, so is 12 units. Filling in the numbers, we have ...

  A = 1/2(21 units +12 units)(8 units) = 132 units²

The area of the figure is 132 square units.

Answer: 4y^2

Step-by-step explanation: Please view the attached.

Answer:

For the first one it would be E.

Step-by-step explanation:

Answer:

7: A, B, E

8: D

Step-by-step explanation:

for 7:

all i did was make a mental picture and solve after that

for 8:

this is simple. make a circle graph, with radii 6, and plot the points. If they are on the edges of the circle, they are 6 units away from origin. ive attached an image of this lol

Answer: C

Step-by-step explanation

You have to divide the output, which in this case is Y (5), into the input, also known as X (1). You will then get your answer, which is 5 dollars per car.  To put that into an equation, it will be: y = 5x.

Here is the work:

5(y) ÷ 1(x) = 5  

y = 5x

Answer:

Answer c is correct

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

On the top layer, there is one cube, on the layer below it there is 3, plus the one under the cube is 4. Then on the very last layer, there is 5, plus the 4 under the cubes is 9, so 9 + 4 + 1 = 14

Answer:14

Step-by-step explanation:first you count up the bottom to the to then that is your bottom answer which is 9 then you count up the ons above it which will be 4 that is your middle answer then there is one at the top add up them all and that is your answer 14.

Answer:

27°

Step-by-step explanation:

when you see a square to represent that angle, that means that angle is 90 degrees (a right angle)

the angle of a straight line is 180

so [tex]180-90=90[/tex]

[tex]3x+9=90[/tex]

[tex]3x=81[/tex]

[tex]x=27[/tex]

Answer:20

Step-by-step explanation:

Answer:

see attached

Step-by-step explanation:

Convert the mixed numbers so that the fractions are eighths.

2 1/4 = 2 2/8

2 1/2 = 2 4/8

3 1/4 = 3 2/8

Construct the line from the lowest value to the highest value, with a distance of 1/8 between each mark.  Add dots above the relevant values corresponding to the number of values in the list.

Answer:

StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 12 centimeters over x meters EndFraction

Step-by-step explanation:

The complete question is

Eveline made a scale drawing of a patio she is planning to build.

1 centimeter = 2.5 meters. Triangle A B C. Side A is 12 centimeters, side B is 5 centimeters, and side C is 13 centimeters.

Which proportion could Eveline use to find the length of side A?

StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 13 centimeters over x meters EndFraction

StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 12 centimeters over x meters EndFraction

StartFraction 12 centimeters over 2.5 meters EndFraction = StartFraction x centimeters over 1 meter EndFraction

StartFraction 1 centimeter over 12 meters EndFraction = StartFraction 2.5 centimeters over x meters EndFraction

The picture of the question in the attached figure

we know that

The scale drawing is

That means

1 cm in the drawing represent 2.5 m in the actual

using proportion

Find out the actual length of side A if in the drawing the length is 12 cm

solve for x

The length of side A is 30 meters

The answer is B

Answer:

333

Step-by-step explanation:

kleann

[tex]2000 \div 6 \\ \frac{2000}{6} = \frac{ \cancel{2000} {}^{ \: \: \: 1000} }{ \cancel{6} {}^{ \: \: \: 3} } \\ \frac{1000}{3} = 333.333...[/tex]

Answer:

t = 2.7

Step-by-step explanation:

5.3 + 5.3 = 10.6

16 - 10.6 = 5.4

5.4 ÷ 2 = 2.7

Answer:

t = 2.7 feet

Step-by-step explanation:

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