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GuDViN [60]
2 years ago
13

Susan completed a 26-mile rollerblade marathon in 2.5 hours. If Susan skated at a constant rate, how fast was she skating? A. 10

.4 mph B. 8.3 mph C. 6.5 mph D. 4.7 mph
Mathematics
1 answer:
Bond [772]2 years ago
6 0

Answer:

A. 10.4 mph

Step-by-step explanation:

26÷2.5=10.4

Double checking your answer:

If she does 10.4 miles in an hour, she can get 20.8 in two hours

then you add half of how much she can go in an hour which is 5.2 (10.4÷2)

you add it together, and you will get 26 miles in total

(20.8+5.2=26)

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FILL IN THE BLANK: FOOD, HEAT, CABLE, INTERNET, AND DOG FOOD<br><br> ARE EXAMPLES OF
koban [17]

The complete question is:

FILL IN THE BLANK: FOOD, HEAT, CABLE, INTERNET, AND DOG FOOD

ARE EXAMPLES OF

A. HOUSEHOLD ASSETS

B. HOUSEHOLD EXPENSES

C. HOUSEHOLD INCOME

D. HOUSEHOLD BUDGETS

Answer:

The correct option is B

Household Expences

Step-by-step explanation:

Household expenses are the costs of maintaining a home, like rent or mortgage payments, utility bills, groceries, etc.

So, food, heat, cable, internet, and dog food are all examples of household expences.

3 0
3 years ago
Which of the following graphs best represents the solution to the pair of equations below? y = −x + 6 y = 2x − 3 A coordinate pl
Lera25 [3.4K]
The lines are 

i)  y=-x+6
ii) y=2x-3

The solution of the system of equations is found by equalizing the 2 equations:

-x+6=2x-3

-2x-x=-6-3

-3x=-9

x=-9/(-3)=3

substitute x=3 in either i) or ii):

i)  y=-3+6=3
ii) y=2(3)-3=6-3=3

(the result is the same, so checking one is enough)

This means that the point (3, 3) is a point which is in both lines, so a solution to the system.

In graphs, this means that the lines intersect at (3, 3) ONLY


Answer: The graph where the lines intersect at (3, 3)
3 0
3 years ago
The equation of function h is h... PLEASE HELP MATH
Flura [38]

Answer:

Part A: the value of h(4) - m(16) is -4

Part B: The y-intercepts are 4 units apart

Part C: m(x) can not exceed h(x) for any value of x

Step-by-step explanation:

Let us use the table to find the function m(x)

There is a constant difference between each two consecutive values of x and also in y, then the table represents a linear function

The form of the linear function is m(x) = a x + b, where

  • a is the slope of the function
  • b is the y-intercept

The slope = Δm(x)/Δx

∵ At x = 8, m(x) = 2

∵ At x = 10, m(x) = 3

∴ The slope = \frac{3-2}{10-8}=\frac{1}{2}

∴ a = \frac{1}{2}

- Substitute it in the form of the function

∴ m(x) = \frac{1}{2} x + b

- To find b substitute x and m(x) in the function by (8 , 2)

∵ 2 = \frac{1}{2} (8) + b

∴ 2 = 4 + b

- Subtract 4 from both sides

∴ -2 = b

∴ m(x) = \frac{1}{2} x - 2

Now let us answer the questions

Part A:

∵ h(x) = \frac{1}{2} (x - 2)²

∴ h(4) = \frac{1}{2} (4 - 2)²

∴ h(4) = \frac{1}{2} (2)²

∴ h(4) =  \frac{1}{2}(4)

∴ h(4) = 2

∵ m(x) = \frac{1}{2} x - 2

∴ m(16) =  \frac{1}{2} (16) - 2

∴ m(16) = 8 - 2

∴ m(16) = 6

- Find now h(4) - m(16)

∵ h(4) - m(16) = 2 - 6

∴ h(4) - m(16) = -4

Part B:

The y-intercept is the value of h(x) at x = 0

∵ h(x) = \frac{1}{2} (x - 2)²

∵ x = 0

∴ h(0) = \frac{1}{2} (0 - 2)²

∴ h(0) =  \frac{1}{2} (-2)² =  

∴ h(0) = 2

∴ The y-intercept of h(x) is 2

∵ m(x) = \frac{1}{2} x - 2

∵ x = 0

∴ m(0) = \frac{1}{2} (0) - 2 = 0 - 2

∴ m(0) = -2

∴ The y-intercept of m(x) is -2

- Find the distance between y = 2 and y = -2

∴ The difference between the y-intercepts of the graphs = 2 - (-2)

∴ The difference between the y-intercepts of the graphs = 4

∴ The y-intercepts are 4 units apart

Part C:

The minimum/maximum point of a quadratic function f(x) = a(x - h) + k is point (h , k)

Compare this form with the form of h(x)

∵ h = 2 and k = 0

∴ The minimum point of the graph of h(x) is (2 , 0)

∵ k is the minimum value of f(x)

∴ 0 is the minimum value of h(x)

∴ The domain of h(x) is all real numbers

∴ The range of h(x) is h(x) ≥ 2

∵ m(8) = 2

∵ m(14) = 5

∵ h(8) = \frac{1}{2} (8 - 2)² = 18

∵ h(14) = \frac{1}{2} (14 - 2)² = 72

∴ h(x) is always > m(x)

∴ m(x) can not exceed h(x) for any value of x

<em>Look to the attached graph for more understand</em>

The blue graph represents h(x)

The green graph represents m(x)

The blue graph is above the green graph for all values of x, then there is no value of x make m(x) exceeds h(x)

7 0
3 years ago
1. 1.5 ÷ 1.2
kirill115 [55]

Answer:

1. 25

2. 5.7

3. 10.7

4. 204

5. 100.5

Step-by-step explanation:

calculator

6 0
2 years ago
What is the solution set?<br><br> ​ 2x−6&gt;12<br><br> ​<br><br> Enter your answer in the box.
irina1246 [14]

Yo sup??

2x-6>12

2x>18

x>9

therefore solution set is

x belongs to (9,infinity)

Hope this helps

3 0
3 years ago
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