Sarah has been training for a marathon, which will cover a distance of 42.195 km. In trainingshe has consistently run 1km each 6 minutes. How long will it take Sarah to complete the
Marathon if she runs at this pace consistently throughout the race?

Answers

Answer 1
Answer:

Answer:

4 hours 21 minutes 17 seconds.

Step-by-step explanation:

1km = 6 minutes

42.195km = ?

42.195 × 6 = 253 minutes 17 seconds = 4 hours 21 minutes 17 seconds.

Answer 2
Answer:

Answer:

4 hours 21 minutes 17 seconds.

Step-by-step explanation:


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Would you please help me to solve this 9.1x10^-5)^-4
Ebony earned scores of 71, 73, 83, 94, and 82 on five math tests. Determine herscore on the sixth test if her average for the six tests was 83? Enter your answer as a whole number Your Answer:
Solve each system.y=2x+6y= -3x+16

During a sale at the bookstore,books sold for $3 and magazines sold for $2.50.Jan spent $16 and bought a total of 6 books and magazines.how many of each did she buy

Answers

If you would like to know how many of each did Jan buy, you can calculate this using the following two equations:

b ... the number of books
m ... the number of magazines

$16 = b * $3 + m * $2.50 ... 16 = 3 * b + 2.50 * m
b + m = 6 ... b = 6 - m
__________________
16 = 3 * b + 2.50 * m

16 = 3 * (6 - m) + 2.50 * m

16 = 3 * 6 - 3 * m + 2.50 * m

16 - 18 = - 3 * m + 2.50 * m

- 2 = - 0.50 * m     /0.50

m = 2 / 0.50

m = 4 magazines 

b = 6 - m = 6 - 4 = 2 books

Result: Jan bought 4 magazines and 2 books.

4 magazines @ $2.50 a piece
2 books @ $3 a piece
6 in total for $16

If the base of a rectangle is 12cm and the area is 250.8cm2 what is the height of the rectangle

Answers

250.8cm^2/12cm= 20.9cm.
the height of the rectangle is 20.9 cm
250.8cm^2/12cm = 20.9cm
the height of the rectangle is 20.9cm

Which graph represents the solution set of the system of inequalities?

Answers

Answer:

D (right-down graph)

Step-by-step explanation:

y = ax+b - linear function,

a>0 - ascending

a<0 - descending

y=\frac13x-3 - ascending function, because a=\frac13, so a>0

y=-3x-3 - descending function, cause a=-3, so a<0

We refuse both graphs on the left side, these are two ascending functions

y\ge\frac13x-3 is the area above the ascending function y=\frac13x-3

y<-3x-3 is the area below the descending function

This causes that D (right-down graph) is a correct answer

Find the value of x so that the function has the given value
f(x) = 4x -3; f(x) = 33

Answers

Answer:

x = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Algebra I

  • Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 3

f(x) = 33

Step 2: Solve for x

  1. Substitute:                    33 = 4x - 3
  2. Isolate x term:               36 = 4x
  3. Isolate x:                       9 = x
  4. Rewrite:                        x = 9

Can someone plz help me out with this?

Answers

Answer:

1. They are equal to 90°

2. They are both right angles so they are equal to 90° and they are on a straight line

3. An isosceles triangle has two sides of equal length

4. Right angles on a straight line

5. Isosceles triangle has two angles that are equal

What is the converse of the statement below??
x>Y

Answers

Converse means switching the hypothesis and conclusion of a conditional statement. The converse of x > y, is y > x. Therefore, the answer to your question is y > x, switching the hypothesis and conclusion of the statement.