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elixir [45]
3 years ago
14

10. At the end of the day, Mandy sold the rest of her hot dogs at her hot dog stand for half price. 50

Mathematics
1 answer:
vekshin13 years ago
4 0

Answer:

56

Step-by-step explanation:

Firstly, we know she sold 24 hot dogs at half price. We do not know the total number of hot dogs.

Secondly, we know that 30% of the hot dogs were sold at half of the price. This means 70% were sold at full price.

Now there are two approaches to this. I'm going to take the easier one.

What we are expressing mathematically is that 30% of a certain number equals 24. Let the total number of hot dogs she had that day at her stand be x.

This mean 30% of x = 24.

30/100 × x = 24

30x = 24× 100

30x = 2,400

x = 2,400/30 = 80.

This means she had a total of 80 hot dogs that day. Since we know the number she sold at half price, it's now easy to calculate the number she sold at full price.

This number now equals 80 - 24 = 56 hot dogs.

This mean Mandy sold 56 hot dogs at full price.

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The coordinate of centroid of a triangle whose vertices are (1,3,-2), (4,5,0), (6,3,9) is = ……………….
Dominik [7]

Answer:

C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})

Step-by-step explanation:

Given

(x_1,y_1,z_1) = (1,3,-2)

(x_2,y_2,z_2) = (4,5,0)

(x_3,y_3,z_3) = (6,3,9)

Required

Determine the coordinates of the centroid

Represent the coordinates with C.

C is calculated as follows:

C = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3),\frac{1}{3}(z_1+z_2+z_3}))

Substitute values of x and y in the given equation

C = (\frac{1}{3}(1+4+6),\frac{1}{3}(3+5+3),\frac{1}{3}(-2+0+9}))

C = (\frac{1}{3}(11),\frac{1}{3}(11),\frac{1}{3}(7}))

C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})

<em>The above is the coordinate of the centroid</em>

8 0
3 years ago
Abdul rolls a fair six-sided die and a fair four-sided die simultaneously. The sample space of all possible
gregori [183]

Answer: 7/24

Step-by-step explanation:

Probability is the branch of mathematics that is concerned with the numerical descriptions of how likely an event will occur or how likely a proposition is true

The probability that the six-sided die is three or Abdul rolls doubles is 7/24. The calculation is attached.

4 0
3 years ago
Who can help me to solve these questions please?
ankoles [38]

Using the given information, length of QR = 16.6 cm

The area of the trapezium is 304.5 cm²

<h3>Calculating area of a trapezium</h3>

From the question we are to calculate the length of QR and the area of trapezium PQRS

In the given diagram,

Let the midpoint of PS be T

Then, we can write that

|OP|² = |OT|² + |PT|²  (<em>Pythagorean theorem</em>)

|OP| = radius = 13 cm

|PT| = 1/2 × PS = 1/2 × 24 cm = 12 cm

∴ 13² = |OT|² + 12²

169 = |OT|² + 144

|OT|² = 169 -144

|OT|² = 25

|OT| = √25

|OT| = 5 cm

Also, let the midpoint of QR be U

Then, we can write that

|OQ|² = |OU|² + |QU|² (<em>Pythagorean theorem</em>)

|OQ| = radius = 13 cm

From the given information,

The distance of QR from O is twice the distance of PS from O

∴ |OU| = 2 × |OT|= 2 × 5 cm = 10cm

Thus,

13² = ||² + 12²

169 = 10² + |QU|²

|QU|² = 169 -100

|QU|² = 69

|QU| = √69

|QU| = 8.3 cm

Now,

Length of QR = 2 × |QU| = 2 × 8.3 cm

Length of QR = 16.6 cm

b)

Area of the trapezium = 1/2(|QR| + |PS|) × |TU|

Area of the trapezium = 1/2(16.6 + 24) × 15

NOTE: |TU| = |OT| + |OU|

Area of the trapezium = 1/2(40.6) × 15

Area of the trapezium = 20.3 × 15

Area of the trapezium = 304.5 cm²

Hence, the area of the trapezium is 304.5 cm²

Learn more on Calculating area of trapezium here: brainly.com/question/3435635

#SPJ1

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LekaFEV [45]

Answer:

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3 years ago
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