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Basile [38]
2 years ago
10

What is the solution ? Please help with this !!

Mathematics
1 answer:
FromTheMoon [43]2 years ago
7 0

Answer:

the answer is c

Step-by-step explanation:

see picture

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6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?
Whitepunk [10]

Answer:

6. C. 16.64 km

7. B. P 216.00

8. B. P 565 425

9. C. 0.27

10. D. 24.6875

11. B. 3 kg

12. B. ratio

13. A. Proportion

14. D. 6:10

15. B. 2:3

Step-by-step explanation:

6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?

Speed = 5.12km/hr

Time = 3.25 hr

To find the distance;

Distance = speed * time

Distance = 5.12 * 3.25

Distance = 16.64 km

7. Mrs. Allysa purchased 48 pencils at P 4.50 each. How much did she pay for all the pencils?

Quantity = 48 pencils

Cost price = P 4.50

To find the total selling price;

Total = quantity * cost price

Total = 48 * 4.50

Total = P 216

8. The Villaroel family bought a 125.65 square meter lot at P 4500.00 per square meter. How much did they

pay?

Quantity = 125.65 m²

Cost price = P 4500

Total price = 125.65 * 4500

Total price = P 565425

9. What is 2.7/10 = 0.27

10. What is 98.75/4 = 24.6875

11. A store owner has 63 kilograms of candy. If she puts the candy into 21 jars, how much candy will each jar

contain?

Mass = 63 kg

Amount = 21 jars

Each jar = 63/21 = 3 kg

12. Ratio: It is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

13. Proportion: It is a statement that two ratios are equal.

14. What ratio is equal to 3:5?

We would multiply both ratio by 2

3:5 * 2 = 6:10

15. What ratio is proportional to 4:6?

We would divide both ratio by 2

4:6 / 2 = 2:3

7 0
2 years ago
Divided 2) Ellie made $253 for 22 hours of work. She makes $11 per hour so Identify the error:​
patriot [66]

Answer:

Ellie should have made 253$ in 23 hours in time. If she worked for 22 hours, then she made 242$.

Step-by-step explanation:

253$ / 11$= 23 hours

22 hours X 11$= 242 hours

5 0
3 years ago
The radius of a circle is 44 centimeters. What is the circle's circumference?
Kay [80]

Answer:

276

Step-by-step explanation:

Circumference = 2πr

= 276

7 0
2 years ago
working together, shawn and hector can install a tile floor in 6 hours. it would take shawn 9 hours to do the job alone. what is
Vikki [24]
First, let x be the number of hours it will take for Hector to finish the same job alone. This means that every hour, Hector can do 1/x of the job. The amount of work done by Shawn and Hector in 6 hours should be equal to 1 complete work. This can be expressed as,
                      (1/9 + 1/x)(6) = 1
The value of x is 18. Thus, Hector can to 1/18 of the job in one hour. 
8 0
3 years ago
Read 2 more answers
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
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