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Arte-miy333 [17]
3 years ago
14

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

Mathematics
1 answer:
Whitepunk [10]3 years ago
7 0

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

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Answer:

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Step-by-step explanation:

Data provided in the question:

Sample size, n = 100

Sample mean, μ = $20

Standard deviation, s = $5

Confidence interval = between $19 and $21

Now,

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or

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Now,

P(z = 2) = 0.02275                       [From standard z vs p value table]

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3 years ago
Y = (x - 2)2 + 3<br> Identify the vertex of the parabola
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Answer:

  (2, 3)

Step-by-step explanation:

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to the vertex form ...

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

7 0
2 years ago
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Q10: Determine the eccentricity, the type of conic, and the directrix for r = 11/6-5cos theta.
Marta_Voda [28]

Answer:

Eccentricity = 5/6

Type of conic section; Ellipse

Directrix; x = -11/5

Step-by-step explanation:

The first step would be to write the polar equation of the conic section in standard form by multiplying the numerator and denominator by 1/6;

r=\frac{\frac{11}{6} }{1-\frac{5}{6}cos theta }

The polar equation of the conic section is now in standard form;

The eccentricity is given by the coefficient of cos theta in which case this would be the value 5/6. Therefore, the eccentricity of this conic section is 5/6.

The eccentricity is clearly between 0 and 1, implying that the conic section is an Ellipse.

Since the conic section is in standard form, the numerator is the product of eccentricity and the value of the directrix, that is;

e*d = 11/6

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d = 11/5

Since the denominator has a minus sign then the ellipse opens towards the right and thus the equation of its directrix is;

x = -11/5

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